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<url><loc>https://scifaro.com/en/abs/duality-and-tameness-0704.0102</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-and-tameness-0704.0102"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/duality-and-tameness-0704.0102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-and-tameness-0704.0102"/></url>
<url><loc>https://scifaro.com/zh/abs/duality-and-tameness-0704.0102</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-and-tameness-0704.0102"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/duality-and-tameness-0704.0102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-and-tameness-0704.0102"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-homology-of-two-dimensional-elimination-0704.0608</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-homology-of-two-dimensional-elimination-0704.0608</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-homology-of-two-dimensional-elimination-0704.0608"/></url>
<url><loc>https://scifaro.com/en/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/></url>
<url><loc>https://scifaro.com/zh/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-parachute-for-the-degree-of-a-polynomial-in-algebraically-independent-ones-0704.1561"/></url>
<url><loc>https://scifaro.com/en/abs/retract-rationality-and-noether-s-problem-0704.1700</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/retract-rationality-and-noether-s-problem-0704.1700"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/retract-rationality-and-noether-s-problem-0704.1700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/retract-rationality-and-noether-s-problem-0704.1700"/></url>
<url><loc>https://scifaro.com/zh/abs/retract-rationality-and-noether-s-problem-0704.1700</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/retract-rationality-and-noether-s-problem-0704.1700"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/retract-rationality-and-noether-s-problem-0704.1700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/retract-rationality-and-noether-s-problem-0704.1700"/></url>
<url><loc>https://scifaro.com/en/abs/noether-s-problem-for-some-p-groups-0704.1701</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-s-problem-for-some-p-groups-0704.1701"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/noether-s-problem-for-some-p-groups-0704.1701"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-s-problem-for-some-p-groups-0704.1701"/></url>
<url><loc>https://scifaro.com/zh/abs/noether-s-problem-for-some-p-groups-0704.1701</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-s-problem-for-some-p-groups-0704.1701"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/noether-s-problem-for-some-p-groups-0704.1701"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-s-problem-for-some-p-groups-0704.1701"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-formal-cohomology-of-local-rings-0704.2005</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-formal-cohomology-of-local-rings-0704.2005</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-formal-cohomology-of-local-rings-0704.2005"/></url>
<url><loc>https://scifaro.com/en/abs/on-lyubeznik-s-invariants-and-endomorphisms-of-local-cohomology-modules-0704.2007</loc><lastmod>2009-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lyubeznik-s-invariants-and-endomorphisms-of-local-cohomology-modules-0704.2007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lyubeznik-s-invariants-and-endomorphisms-of-local-cohomology-modules-0704.2007"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144</loc><lastmod>2009-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/></url>
<url><loc>https://scifaro.com/zh/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144</loc><lastmod>2009-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-proof-of-gabrielov-s-theorem-about-analytic-homomorphisms-in-any-characteristic-0704.2144"/></url>
<url><loc>https://scifaro.com/en/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/></url>
<url><loc>https://scifaro.com/zh/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/un-module-inversible-associ-e-au-ruban-de-m-obius-et-quelques-autres-0704.2483"/></url>
<url><loc>https://scifaro.com/en/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/></url>
<url><loc>https://scifaro.com/zh/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-invariants-of-algebraic-group-actions-in-arbitrary-characteristic-0704.2594"/></url>
<url><loc>https://scifaro.com/en/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734</loc><lastmod>2011-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/></url>
<url><loc>https://scifaro.com/zh/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734</loc><lastmod>2011-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-cohen-macaulay-algebra-has-only-finitely-many-semidualizing-modules-0704.2734"/></url>
<url><loc>https://scifaro.com/en/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824</loc><lastmod>2008-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/></url>
<url><loc>https://scifaro.com/zh/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824</loc><lastmod>2008-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sums-of-squares-over-totally-real-fields-are-rational-sums-of-squares-0704.2824"/></url>
<url><loc>https://scifaro.com/en/abs/glicci-simplicial-complexes-0704.3283</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/glicci-simplicial-complexes-0704.3283"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/glicci-simplicial-complexes-0704.3283"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/glicci-simplicial-complexes-0704.3283"/></url>
<url><loc>https://scifaro.com/zh/abs/glicci-simplicial-complexes-0704.3283</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/glicci-simplicial-complexes-0704.3283"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/glicci-simplicial-complexes-0704.3283"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/glicci-simplicial-complexes-0704.3283"/></url>
<url><loc>https://scifaro.com/en/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421</loc><lastmod>2008-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/></url>
<url><loc>https://scifaro.com/zh/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421</loc><lastmod>2008-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-gorenstein-representation-type-implies-simple-singularity-0704.3421"/></url>
<url><loc>https://scifaro.com/en/abs/cohomology-of-fiber-products-of-local-rings-0704.3631</loc><lastmod>2009-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/></url>
<url><loc>https://scifaro.com/zh/abs/cohomology-of-fiber-products-of-local-rings-0704.3631</loc><lastmod>2009-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomology-of-fiber-products-of-local-rings-0704.3631"/></url>
<url><loc>https://scifaro.com/en/abs/triangulations-of-projective-modules-0704.3633</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/triangulations-of-projective-modules-0704.3633"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/triangulations-of-projective-modules-0704.3633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/triangulations-of-projective-modules-0704.3633"/></url>
<url><loc>https://scifaro.com/zh/abs/triangulations-of-projective-modules-0704.3633</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/triangulations-of-projective-modules-0704.3633"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/triangulations-of-projective-modules-0704.3633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/triangulations-of-projective-modules-0704.3633"/></url>
<url><loc>https://scifaro.com/en/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696</loc><lastmod>2011-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/></url>
<url><loc>https://scifaro.com/zh/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696</loc><lastmod>2011-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-weighted-graph-problem-from-commutative-algebra-0704.3696"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761</loc><lastmod>2009-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/></url>
<url><loc>https://scifaro.com/zh/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761</loc><lastmod>2009-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-algebras-and-hochschild-cohomology-0704.3761"/></url>
<url><loc>https://scifaro.com/en/abs/the-symplectic-ideal-and-a-double-centraliser-theorem-0705.0377</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symplectic-ideal-and-a-double-centraliser-theorem-0705.0377"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-symplectic-ideal-and-a-double-centraliser-theorem-0705.0377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symplectic-ideal-and-a-double-centraliser-theorem-0705.0377"/></url>
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<url><loc>https://scifaro.com/en/abs/some-result-on-k-algebras-0705.1293</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-result-on-k-algebras-0705.1293"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-result-on-k-algebras-0705.1293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-result-on-k-algebras-0705.1293"/></url>
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<url><loc>https://scifaro.com/en/abs/cohen-macaulay-multigraded-modules-0705.1839</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-multigraded-modules-0705.1839"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohen-macaulay-multigraded-modules-0705.1839"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-multigraded-modules-0705.1839"/></url>
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<url><loc>https://scifaro.com/en/abs/the-gorenstein-colength-of-an-artinian-local-ring-0705.2186</loc><lastmod>2008-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-gorenstein-colength-of-an-artinian-local-ring-0705.2186"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-gorenstein-colength-of-an-artinian-local-ring-0705.2186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-gorenstein-colength-of-an-artinian-local-ring-0705.2186"/></url>
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<url><loc>https://scifaro.com/en/abs/stability-of-associated-primes-of-monomial-ideals-0705.2309</loc><lastmod>2007-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-associated-primes-of-monomial-ideals-0705.2309"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stability-of-associated-primes-of-monomial-ideals-0705.2309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-associated-primes-of-monomial-ideals-0705.2309"/></url>
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<url><loc>https://scifaro.com/en/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954</loc><lastmod>2007-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/></url>
<url><loc>https://scifaro.com/zh/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954</loc><lastmod>2007-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cones-associated-to-some-transversal-polymatroids-0705.3954"/></url>
<url><loc>https://scifaro.com/en/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208</loc><lastmod>2008-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/></url>
<url><loc>https://scifaro.com/zh/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208</loc><lastmod>2008-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-closure-of-ideals-in-integral-domains-0705.4208"/></url>
<url><loc>https://scifaro.com/en/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389</loc><lastmod>2007-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/></url>
<url><loc>https://scifaro.com/zh/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389</loc><lastmod>2007-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-simplicial-toric-varieties-of-codimension-2-0705.4389"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553</loc><lastmod>2007-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553</loc><lastmod>2007-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-and-the-finiteness-of-supports-of-generalized-local-cohomology-modules-0705.4553"/></url>
<url><loc>https://scifaro.com/en/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157</loc><lastmod>2007-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/></url>
<url><loc>https://scifaro.com/zh/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157</loc><lastmod>2007-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/number-of-irreducible-polynomials-in-several-variables-over-finite-fields-0706.0157"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201</loc><lastmod>2007-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/></url>
<url><loc>https://scifaro.com/zh/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201</loc><lastmod>2007-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-new-intersection-theorem-0706.0201"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-hilbert-coefficients-0706.0400</loc><lastmod>2007-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-hilbert-coefficients-0706.0400"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/bounds-for-hilbert-coefficients-0706.0400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-hilbert-coefficients-0706.0400"/></url>
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<url><loc>https://scifaro.com/zh/abs/factorization-of-quadratic-polynomials-in-the-ring-of-formal-power-series-over-z-0706.0725</loc><lastmod>2023-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-quadratic-polynomials-in-the-ring-of-formal-power-series-over-z-0706.0725"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/factorization-of-quadratic-polynomials-in-the-ring-of-formal-power-series-over-z-0706.0725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-quadratic-polynomials-in-the-ring-of-formal-power-series-over-z-0706.0725"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-q-dyson-style-constant-term-identities-0706.1009</loc><lastmod>2007-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-q-dyson-style-constant-term-identities-0706.1009"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-q-dyson-style-constant-term-identities-0706.1009"/></url>
<url><loc>https://scifaro.com/en/abs/test-ideals-vs-multiplier-ideals-0706.1124</loc><lastmod>2008-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-ideals-vs-multiplier-ideals-0706.1124"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/test-ideals-vs-multiplier-ideals-0706.1124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-ideals-vs-multiplier-ideals-0706.1124"/></url>
<url><loc>https://scifaro.com/zh/abs/test-ideals-vs-multiplier-ideals-0706.1124</loc><lastmod>2008-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-ideals-vs-multiplier-ideals-0706.1124"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/test-ideals-vs-multiplier-ideals-0706.1124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-ideals-vs-multiplier-ideals-0706.1124"/></url>
<url><loc>https://scifaro.com/en/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138</loc><lastmod>2022-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/></url>
<url><loc>https://scifaro.com/zh/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138</loc><lastmod>2022-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-comments-around-the-examples-against-the-generalized-jacobian-conjecture-0706.1138"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952</loc><lastmod>2007-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/></url>
<url><loc>https://scifaro.com/zh/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952</loc><lastmod>2007-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-representatives-for-residue-classes-of-a-polynomial-ideal-and-orthogonality-0706.1952"/></url>
<url><loc>https://scifaro.com/en/abs/stable-border-bases-for-ideals-of-points-0706.2316</loc><lastmod>2009-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-border-bases-for-ideals-of-points-0706.2316"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stable-border-bases-for-ideals-of-points-0706.2316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-border-bases-for-ideals-of-points-0706.2316"/></url>
<url><loc>https://scifaro.com/zh/abs/stable-border-bases-for-ideals-of-points-0706.2316</loc><lastmod>2009-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-border-bases-for-ideals-of-points-0706.2316"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stable-border-bases-for-ideals-of-points-0706.2316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-border-bases-for-ideals-of-points-0706.2316"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-castelnuovo-mumford-regularity-with-respect-to-some-functors-0706.2731</loc><lastmod>2007-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-castelnuovo-mumford-regularity-with-respect-to-some-functors-0706.2731"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-behavior-of-castelnuovo-mumford-regularity-with-respect-to-some-functors-0706.2731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-castelnuovo-mumford-regularity-with-respect-to-some-functors-0706.2731"/></url>
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<url><loc>https://scifaro.com/en/abs/integral-degree-of-a-ring-and-reduction-numbers-0706.3381</loc><lastmod>2007-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-degree-of-a-ring-and-reduction-numbers-0706.3381"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/integral-degree-of-a-ring-and-reduction-numbers-0706.3381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-degree-of-a-ring-and-reduction-numbers-0706.3381"/></url>
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<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545</loc><lastmod>2009-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/></url>
<url><loc>https://scifaro.com/zh/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545</loc><lastmod>2009-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-and-computation-of-newton-graded-toric-rings-0706.3545"/></url>
<url><loc>https://scifaro.com/en/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635</loc><lastmod>2007-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/></url>
<url><loc>https://scifaro.com/zh/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635</loc><lastmod>2007-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparison-of-relative-cohomology-theories-with-respect-to-semidualizing-modules-0706.3635"/></url>
<url><loc>https://scifaro.com/en/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761</loc><lastmod>2007-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/></url>
<url><loc>https://scifaro.com/zh/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761</loc><lastmod>2007-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uppers-to-zero-and-semistar-operations-in-polynomial-rings-0706.3761"/></url>
<url><loc>https://scifaro.com/en/abs/d-modules-over-rings-with-finite-f-representation-type-0706.3842</loc><lastmod>2007-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-modules-over-rings-with-finite-f-representation-type-0706.3842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-modules-over-rings-with-finite-f-representation-type-0706.3842"/></url>
<url><loc>https://scifaro.com/en/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177</loc><lastmod>2007-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/></url>
<url><loc>https://scifaro.com/zh/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177</loc><lastmod>2007-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/c-flows-a-z-of-linear-maps-a-expressed-in-terms-of-a-1-a-2-a-n-and-analytic-functions-of-z-0706.4177"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432</loc><lastmod>2008-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/></url>
<url><loc>https://scifaro.com/zh/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432</loc><lastmod>2008-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-proof-of-the-commutativity-of-the-intersection-with-divisors-0707.0432"/></url>
<url><loc>https://scifaro.com/en/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547</loc><lastmod>2007-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/></url>
<url><loc>https://scifaro.com/zh/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547</loc><lastmod>2007-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-ring-such-that-the-map-between-grothendieck-groups-with-rational-coefficient-induced-by-completion-is-not-injective-0707.0547"/></url>
<url><loc>https://scifaro.com/en/abs/generic-initial-ideals-and-fibre-products-0707.0678</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-and-fibre-products-0707.0678"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-initial-ideals-and-fibre-products-0707.0678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-and-fibre-products-0707.0678"/></url>
<url><loc>https://scifaro.com/zh/abs/generic-initial-ideals-and-fibre-products-0707.0678</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-and-fibre-products-0707.0678"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-initial-ideals-and-fibre-products-0707.0678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-and-fibre-products-0707.0678"/></url>
<url><loc>https://scifaro.com/en/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134</loc><lastmod>2007-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/></url>
<url><loc>https://scifaro.com/zh/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134</loc><lastmod>2007-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-defect-and-regularity-over-a-koszul-algebra-0707.1134"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311</loc><lastmod>2007-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/></url>
<url><loc>https://scifaro.com/zh/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311</loc><lastmod>2007-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-bounds-for-quadratic-monomial-ideals-0707.1311"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361</loc><lastmod>2007-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/></url>
<url><loc>https://scifaro.com/zh/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361</loc><lastmod>2007-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-shestakov-umirbaev-inequality-0707.1361"/></url>
<url><loc>https://scifaro.com/en/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365</loc><lastmod>2007-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/></url>
<url><loc>https://scifaro.com/zh/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365</loc><lastmod>2007-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditions-for-generic-initial-ideals-to-be-almost-reverse-lexicographic-0707.1365"/></url>
<url><loc>https://scifaro.com/en/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525</loc><lastmod>2007-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/></url>
<url><loc>https://scifaro.com/zh/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525</loc><lastmod>2007-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-patch-topology-and-the-ultrafilter-topology-on-the-prime-spectrum-of-a-commutative-ring-0707.1525"/></url>
<url><loc>https://scifaro.com/en/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539</loc><lastmod>2007-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/></url>
<url><loc>https://scifaro.com/zh/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539</loc><lastmod>2007-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conjugacy-classes-and-invariant-subrings-of-r-automorphisms-of-r-x-0707.1539"/></url>
<url><loc>https://scifaro.com/en/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136</loc><lastmod>2007-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/></url>
<url><loc>https://scifaro.com/zh/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136</loc><lastmod>2007-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducing-system-of-parameters-and-the-cohen-macaulay-property-0707.2136"/></url>
<url><loc>https://scifaro.com/en/abs/reducible-family-of-height-three-level-algebras-0707.2148</loc><lastmod>2008-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducible-family-of-height-three-level-algebras-0707.2148"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/reducible-family-of-height-three-level-algebras-0707.2148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducible-family-of-height-three-level-algebras-0707.2148"/></url>
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<url><loc>https://scifaro.com/en/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/></url>
<url><loc>https://scifaro.com/zh/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-graded-betti-numbers-and-k-lefschetz-properties-0707.2247"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/></url>
<url><loc>https://scifaro.com/zh/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-function-and-betti-numbers-of-algebras-with-lefschetz-property-of-order-m-0707.2330"/></url>
<url><loc>https://scifaro.com/en/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/></url>
<url><loc>https://scifaro.com/zh/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672</loc><lastmod>2007-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-hyperplane-arrangement-0707.2672"/></url>
<url><loc>https://scifaro.com/en/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914</loc><lastmod>2007-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/></url>
<url><loc>https://scifaro.com/zh/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914</loc><lastmod>2007-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pretty-clean-monomial-ideals-and-linear-quotients-0707.2914"/></url>
<url><loc>https://scifaro.com/en/abs/acm-sets-of-points-in-multiprojective-space-0707.3138</loc><lastmod>2007-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/></url>
<url><loc>https://scifaro.com/zh/abs/acm-sets-of-points-in-multiprojective-space-0707.3138</loc><lastmod>2007-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/acm-sets-of-points-in-multiprojective-space-0707.3138"/></url>
<url><loc>https://scifaro.com/en/abs/separators-of-points-in-a-multiprojective-space-0707.3139</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/></url>
<url><loc>https://scifaro.com/zh/abs/separators-of-points-in-a-multiprojective-space-0707.3139</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separators-of-points-in-a-multiprojective-space-0707.3139"/></url>
<url><loc>https://scifaro.com/en/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151</loc><lastmod>2012-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/></url>
<url><loc>https://scifaro.com/zh/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151</loc><lastmod>2012-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-tameness-of-two-dimensional-polynomial-automorphisms-over-a-regular-ring-0707.3151"/></url>
<url><loc>https://scifaro.com/en/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197</loc><lastmod>2008-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/></url>
<url><loc>https://scifaro.com/zh/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197</loc><lastmod>2008-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-of-module-structures-vanishing-of-ext-and-extended-modules-0707.4197"/></url>
<url><loc>https://scifaro.com/en/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/></url>
<url><loc>https://scifaro.com/zh/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sur-la-d-efinissabilit-e-existentielle-de-la-non-nullit-e-dans-les-anneaux-0707.4449"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-over-short-local-rings-0707.4451</loc><lastmod>2008-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-over-short-local-rings-0707.4451"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/free-resolutions-over-short-local-rings-0707.4451"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-over-short-local-rings-0707.4451"/></url>
<url><loc>https://scifaro.com/zh/abs/free-resolutions-over-short-local-rings-0707.4451</loc><lastmod>2008-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-over-short-local-rings-0707.4451"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/free-resolutions-over-short-local-rings-0707.4451"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-over-short-local-rings-0707.4451"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/></url>
<url><loc>https://scifaro.com/zh/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-betti-numbers-of-monoidal-complexes-0707.4527"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-discrete-hodge-algebras-0708.0480</loc><lastmod>2007-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/></url>
<url><loc>https://scifaro.com/zh/abs/projective-modules-over-discrete-hodge-algebras-0708.0480</loc><lastmod>2007-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-discrete-hodge-algebras-0708.0480"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537</loc><lastmod>2008-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/></url>
<url><loc>https://scifaro.com/zh/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537</loc><lastmod>2008-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-hilbert-kunz-multiplicities-in-local-rings-of-fixed-dimension-0708.0537"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-structure-of-local-cohomology-0708.0553</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/></url>
<url><loc>https://scifaro.com/zh/abs/the-frobenius-structure-of-local-cohomology-0708.0553</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-structure-of-local-cohomology-0708.0553"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481</loc><lastmod>2007-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/></url>
<url><loc>https://scifaro.com/zh/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481</loc><lastmod>2007-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-pretty-clean-filtrations-and-reductions-modulo-regular-elements-0708.1481"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120</loc><lastmod>2007-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/></url>
<url><loc>https://scifaro.com/zh/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120</loc><lastmod>2007-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-a-polynomial-ring-which-admit-reductions-of-type-i-0708.2120"/></url>
<url><loc>https://scifaro.com/en/abs/on-equimultiple-modules-0708.2225</loc><lastmod>2007-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-equimultiple-modules-0708.2225"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-equimultiple-modules-0708.2225"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-equimultiple-modules-0708.2225"/></url>
<url><loc>https://scifaro.com/zh/abs/on-equimultiple-modules-0708.2225</loc><lastmod>2007-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-equimultiple-modules-0708.2225"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-equimultiple-modules-0708.2225"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-equimultiple-modules-0708.2225"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394</loc><lastmod>2007-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/></url>
<url><loc>https://scifaro.com/zh/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394</loc><lastmod>2007-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-tight-closure-integral-closure-and-multiplicity-bounds-0708.2394"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569</loc><lastmod>2007-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/></url>
<url><loc>https://scifaro.com/zh/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569</loc><lastmod>2007-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-compactness-of-prod-m-alpha-oplus-m-alpha-0708.2569"/></url>
<url><loc>https://scifaro.com/en/abs/zonotopal-algebra-0708.2632</loc><lastmod>2011-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zonotopal-algebra-0708.2632"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/zonotopal-algebra-0708.2632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zonotopal-algebra-0708.2632"/></url>
<url><loc>https://scifaro.com/zh/abs/zonotopal-algebra-0708.2632</loc><lastmod>2011-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zonotopal-algebra-0708.2632"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/zonotopal-algebra-0708.2632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zonotopal-algebra-0708.2632"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-problem-for-projective-modules-over-affine-algebras-0708.2961</loc><lastmod>2010-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-problem-for-projective-modules-over-affine-algebras-0708.2961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-problem-for-projective-modules-over-affine-algebras-0708.2961"/></url>
<url><loc>https://scifaro.com/en/abs/weak-subintegral-closure-of-ideals-0708.3105</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-subintegral-closure-of-ideals-0708.3105"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/weak-subintegral-closure-of-ideals-0708.3105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-subintegral-closure-of-ideals-0708.3105"/></url>
<url><loc>https://scifaro.com/zh/abs/weak-subintegral-closure-of-ideals-0708.3105</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-subintegral-closure-of-ideals-0708.3105"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/weak-subintegral-closure-of-ideals-0708.3105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-subintegral-closure-of-ideals-0708.3105"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/></url>
<url><loc>https://scifaro.com/zh/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-shellable-and-unmixed-clutters-with-a-perfect-matching-of-k-onig-type-0708.3111"/></url>
<url><loc>https://scifaro.com/en/abs/some-non-unimodal-level-algebras-0708.3354</loc><lastmod>2007-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-non-unimodal-level-algebras-0708.3354"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-non-unimodal-level-algebras-0708.3354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-non-unimodal-level-algebras-0708.3354"/></url>
<url><loc>https://scifaro.com/zh/abs/some-non-unimodal-level-algebras-0708.3354</loc><lastmod>2007-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-non-unimodal-level-algebras-0708.3354"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-non-unimodal-level-algebras-0708.3354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-non-unimodal-level-algebras-0708.3354"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-homogenous-liaison-and-licci-ideals-0708.3369</loc><lastmod>2007-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-homogenous-liaison-and-licci-ideals-0708.3369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-homogenous-liaison-and-licci-ideals-0708.3369"/></url>
<url><loc>https://scifaro.com/en/abs/sally-modules-of-rank-one-0708.3426</loc><lastmod>2007-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sally-modules-of-rank-one-0708.3426"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sally-modules-of-rank-one-0708.3426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sally-modules-of-rank-one-0708.3426"/></url>
<url><loc>https://scifaro.com/zh/abs/sally-modules-of-rank-one-0708.3426</loc><lastmod>2007-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sally-modules-of-rank-one-0708.3426"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/sally-modules-of-rank-one-0708.3426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sally-modules-of-rank-one-0708.3426"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576</loc><lastmod>2007-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/></url>
<url><loc>https://scifaro.com/zh/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576</loc><lastmod>2007-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-hilbert-burch-matrices-for-ideals-of-k-x-y-0708.3576"/></url>
<url><loc>https://scifaro.com/en/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752</loc><lastmod>2007-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/></url>
<url><loc>https://scifaro.com/zh/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752</loc><lastmod>2007-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contribution-in-combinatorics-in-commutative-algebra-ph-d-thesis-0708.3752"/></url>
<url><loc>https://scifaro.com/en/abs/modules-with-reducible-complexity-0708.3907</loc><lastmod>2007-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-with-reducible-complexity-0708.3907"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/modules-with-reducible-complexity-0708.3907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-with-reducible-complexity-0708.3907"/></url>
<url><loc>https://scifaro.com/zh/abs/modules-with-reducible-complexity-0708.3907</loc><lastmod>2007-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-with-reducible-complexity-0708.3907"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/modules-with-reducible-complexity-0708.3907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-with-reducible-complexity-0708.3907"/></url>
<url><loc>https://scifaro.com/en/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914</loc><lastmod>2007-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/></url>
<url><loc>https://scifaro.com/zh/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914</loc><lastmod>2007-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-support-varieties-for-modules-over-complete-intersections-0708.3914"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-gr-obner-complexity-of-matrices-0708.4392</loc><lastmod>2007-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-gr-obner-complexity-of-matrices-0708.4392</loc><lastmod>2007-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gr-obner-complexity-of-matrices-0708.4392"/></url>
<url><loc>https://scifaro.com/en/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031</loc><lastmod>2007-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/></url>
<url><loc>https://scifaro.com/zh/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031</loc><lastmod>2007-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duality-and-serre-s-property-s-i-for-square-free-monomial-ideals-0709.0031"/></url>
<url><loc>https://scifaro.com/en/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146</loc><lastmod>2009-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/></url>
<url><loc>https://scifaro.com/zh/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146</loc><lastmod>2009-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-orthogonal-and-special-orthogonal-invariants-of-a-single-matrix-of-small-order-0709.0146"/></url>
<url><loc>https://scifaro.com/en/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513</loc><lastmod>2009-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/></url>
<url><loc>https://scifaro.com/zh/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513</loc><lastmod>2009-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quaternionic-matrices-unitary-similarity-simultaneous-triangularization-and-some-trace-identities-0709.0513"/></url>
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<url><loc>https://scifaro.com/en/abs/invariant-theory-of-abelian-transvection-groups-0709.0712</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/></url>
<url><loc>https://scifaro.com/zh/abs/invariant-theory-of-abelian-transvection-groups-0709.0712</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariant-theory-of-abelian-transvection-groups-0709.0712"/></url>
<url><loc>https://scifaro.com/en/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715</loc><lastmod>2007-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/></url>
<url><loc>https://scifaro.com/zh/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715</loc><lastmod>2007-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-chevalley-shephard-todd-s-theorem-in-positive-characteristic-0709.0715"/></url>
<url><loc>https://scifaro.com/en/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741</loc><lastmod>2007-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/></url>
<url><loc>https://scifaro.com/zh/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741</loc><lastmod>2007-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-extensions-and-subspaces-of-bilinear-forms-with-special-rank-properties-0709.0741"/></url>
<url><loc>https://scifaro.com/en/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747</loc><lastmod>2007-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/></url>
<url><loc>https://scifaro.com/zh/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747</loc><lastmod>2007-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lyubeznik-numbers-of-projective-schemes-0709.0747"/></url>
<url><loc>https://scifaro.com/en/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864</loc><lastmod>2007-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/></url>
<url><loc>https://scifaro.com/zh/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864</loc><lastmod>2007-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-binomial-set-theoretic-complete-intersections-in-characteristic-p-0709.0864"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943</loc><lastmod>2007-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943</loc><lastmod>2007-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-frobenius-functor-and-colon-ideals-0709.0943"/></url>
<url><loc>https://scifaro.com/en/abs/the-existence-of-pure-free-resolutions-0709.1529</loc><lastmod>2012-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-existence-of-pure-free-resolutions-0709.1529"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-existence-of-pure-free-resolutions-0709.1529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-existence-of-pure-free-resolutions-0709.1529"/></url>
<url><loc>https://scifaro.com/zh/abs/the-existence-of-pure-free-resolutions-0709.1529</loc><lastmod>2012-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-existence-of-pure-free-resolutions-0709.1529"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-existence-of-pure-free-resolutions-0709.1529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-existence-of-pure-free-resolutions-0709.1529"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537</loc><lastmod>2007-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/></url>
<url><loc>https://scifaro.com/zh/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537</loc><lastmod>2007-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-parameter-ideals-in-generalized-cohen-macaulay-modules-0709.1537"/></url>
<url><loc>https://scifaro.com/en/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627</loc><lastmod>2008-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/></url>
<url><loc>https://scifaro.com/zh/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627</loc><lastmod>2008-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formulas-of-f-thresholds-and-f-jumping-coefficients-on-toric-rings-0709.1627"/></url>
<url><loc>https://scifaro.com/en/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778</loc><lastmod>2007-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/></url>
<url><loc>https://scifaro.com/zh/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778</loc><lastmod>2007-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-homology-theory-for-linearly-compact-modules-0709.1778"/></url>
<url><loc>https://scifaro.com/en/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890</loc><lastmod>2012-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/></url>
<url><loc>https://scifaro.com/zh/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890</loc><lastmod>2012-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freeness-of-conic-line-arrangements-in-mathbb-p-2-0709.1890"/></url>
<url><loc>https://scifaro.com/en/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304</loc><lastmod>2008-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/></url>
<url><loc>https://scifaro.com/zh/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304</loc><lastmod>2008-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pairs-of-commuting-nilpotent-matrices-and-hilbert-function-0709.2304"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442</loc><lastmod>2008-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/></url>
<url><loc>https://scifaro.com/zh/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442</loc><lastmod>2008-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-dimensions-and-foxby-classes-0709.2442"/></url>
<url><loc>https://scifaro.com/en/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797</loc><lastmod>2021-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/></url>
<url><loc>https://scifaro.com/zh/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797</loc><lastmod>2021-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comments-on-orbits-of-automorphism-groups-of-fields-0709.2797"/></url>
<url><loc>https://scifaro.com/en/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978</loc><lastmod>2011-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/></url>
<url><loc>https://scifaro.com/zh/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978</loc><lastmod>2011-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-groebner-basis-of-the-ideal-of-vanishing-polynomials-0709.2978"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149</loc><lastmod>2008-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/></url>
<url><loc>https://scifaro.com/zh/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149</loc><lastmod>2008-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-based-on-a-nonclosed-support-defined-by-a-pair-of-ideals-0709.3149"/></url>
<url><loc>https://scifaro.com/en/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182</loc><lastmod>2007-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/></url>
<url><loc>https://scifaro.com/zh/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182</loc><lastmod>2007-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-theorems-for-certain-gorenstein-ideals-0709.3182"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/></url>
<url><loc>https://scifaro.com/zh/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412</loc><lastmod>2011-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-quasi-coherent-modules-that-are-module-schemes-0709.3412"/></url>
<url><loc>https://scifaro.com/en/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784</loc><lastmod>2007-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/></url>
<url><loc>https://scifaro.com/zh/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784</loc><lastmod>2007-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-field-of-generalised-puiseux-series-for-tropical-geometry-0709.3784"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917</loc><lastmod>2008-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/></url>
<url><loc>https://scifaro.com/zh/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917</loc><lastmod>2008-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-for-spaces-of-quadrics-of-codimension-3-0709.3917"/></url>
<url><loc>https://scifaro.com/en/abs/homological-flat-dimensions-0709.4078</loc><lastmod>2008-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-flat-dimensions-0709.4078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-flat-dimensions-0709.4078"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084</loc><lastmod>2019-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/></url>
<url><loc>https://scifaro.com/zh/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084</loc><lastmod>2019-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-of-hilbert-coefficients-and-hilbert-functions-0709.4084"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145</loc><lastmod>2007-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/></url>
<url><loc>https://scifaro.com/zh/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145</loc><lastmod>2007-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-of-squarefree-modules-and-alexander-duality-0709.4145"/></url>
<url><loc>https://scifaro.com/en/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645</loc><lastmod>2007-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/></url>
<url><loc>https://scifaro.com/zh/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645</loc><lastmod>2007-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-gorenstein-modules-0709.4645"/></url>
<url><loc>https://scifaro.com/en/abs/a-local-version-of-gotzmann-s-persistence-0710.0186</loc><lastmod>2007-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/></url>
<url><loc>https://scifaro.com/zh/abs/a-local-version-of-gotzmann-s-persistence-0710.0186</loc><lastmod>2007-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-version-of-gotzmann-s-persistence-0710.0186"/></url>
<url><loc>https://scifaro.com/en/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/></url>
<url><loc>https://scifaro.com/zh/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-baer-regular-rings-0710.0267"/></url>
<url><loc>https://scifaro.com/en/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470</loc><lastmod>2012-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/></url>
<url><loc>https://scifaro.com/zh/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470</loc><lastmod>2012-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-minimal-set-of-generators-for-the-ring-of-multisymmetric-functions-0710.0470"/></url>
<url><loc>https://scifaro.com/en/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697</loc><lastmod>2007-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/></url>
<url><loc>https://scifaro.com/zh/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697</loc><lastmod>2007-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toroidalization-of-generating-sequences-in-dimension-two-function-fields-of-positive-characteristic-0710.0697"/></url>
<url><loc>https://scifaro.com/en/abs/generic-fiber-of-power-series-ring-extensions-0710.1019</loc><lastmod>2007-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/></url>
<url><loc>https://scifaro.com/zh/abs/generic-fiber-of-power-series-ring-extensions-0710.1019</loc><lastmod>2007-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-fiber-of-power-series-ring-extensions-0710.1019"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-sally-modules-of-rank-one-0710.1178</loc><lastmod>2007-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/></url>
<url><loc>https://scifaro.com/zh/abs/the-structure-of-sally-modules-of-rank-one-0710.1178</loc><lastmod>2007-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-sally-modules-of-rank-one-0710.1178"/></url>
<url><loc>https://scifaro.com/en/abs/semi-vector-spaces-and-units-of-measurement-0710.1313</loc><lastmod>2007-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/></url>
<url><loc>https://scifaro.com/zh/abs/semi-vector-spaces-and-units-of-measurement-0710.1313</loc><lastmod>2007-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-vector-spaces-and-units-of-measurement-0710.1313"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386</loc><lastmod>2008-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/></url>
<url><loc>https://scifaro.com/zh/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386</loc><lastmod>2008-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-gorenstein-numerical-semigroup-rings-0710.1386"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387</loc><lastmod>2008-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/></url>
<url><loc>https://scifaro.com/zh/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387</loc><lastmod>2008-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-socle-ideals-in-local-rings-with-gorenstein-tangent-cones-0710.1387"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-filtered-modules-0710.2346</loc><lastmod>2009-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-filtered-modules-0710.2346"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/hilbert-functions-of-filtered-modules-0710.2346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-filtered-modules-0710.2346"/></url>
<url><loc>https://scifaro.com/zh/abs/hilbert-functions-of-filtered-modules-0710.2346</loc><lastmod>2009-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-filtered-modules-0710.2346"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/hilbert-functions-of-filtered-modules-0710.2346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-filtered-modules-0710.2346"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483</loc><lastmod>2008-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483</loc><lastmod>2008-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetical-rank-of-a-special-class-of-minimal-varieties-0710.2483"/></url>
<url><loc>https://scifaro.com/en/abs/deformations-of-border-bases-0710.2641</loc><lastmod>2007-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-border-bases-0710.2641"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/deformations-of-border-bases-0710.2641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-border-bases-0710.2641"/></url>
<url><loc>https://scifaro.com/zh/abs/deformations-of-border-bases-0710.2641</loc><lastmod>2007-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-border-bases-0710.2641"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/deformations-of-border-bases-0710.2641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-border-bases-0710.2641"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-does-not-commute-with-localization-0710.2913</loc><lastmod>2009-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-does-not-commute-with-localization-0710.2913"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/tight-closure-does-not-commute-with-localization-0710.2913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-does-not-commute-with-localization-0710.2913"/></url>
<url><loc>https://scifaro.com/zh/abs/tight-closure-does-not-commute-with-localization-0710.2913</loc><lastmod>2009-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-does-not-commute-with-localization-0710.2913"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/tight-closure-does-not-commute-with-localization-0710.2913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-does-not-commute-with-localization-0710.2913"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/></url>
<url><loc>https://scifaro.com/zh/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-of-cohen-macaulay-monomial-quotient-rings-0710.3244"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/></url>
<url><loc>https://scifaro.com/zh/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-properties-derived-from-generic-initial-spaces-0710.3271"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/></url>
<url><loc>https://scifaro.com/zh/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-localization-theorem-for-f-pure-rings-0710.3782"/></url>
<url><loc>https://scifaro.com/en/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908</loc><lastmod>2008-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/></url>
<url><loc>https://scifaro.com/zh/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908</loc><lastmod>2008-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lie-rinehart-bialgebras-for-crossed-products-0710.3908"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-vanishing-conditions-which-force-regularity-in-local-rings-of-prime-characteristic-0710.4090</loc><lastmod>2007-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-vanishing-conditions-which-force-regularity-in-local-rings-of-prime-characteristic-0710.4090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-vanishing-conditions-which-force-regularity-in-local-rings-of-prime-characteristic-0710.4090"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376</loc><lastmod>2007-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/></url>
<url><loc>https://scifaro.com/zh/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376</loc><lastmod>2007-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-reduction-number-of-smooth-monomial-curves-0710.4376"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945</loc><lastmod>2008-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/></url>
<url><loc>https://scifaro.com/zh/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945</loc><lastmod>2008-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-gr-obner-bases-in-algebras-of-solvable-type-0710.4945"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018</loc><lastmod>2007-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/></url>
<url><loc>https://scifaro.com/zh/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018</loc><lastmod>2007-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-pr-u-fer-star-multiplication-domains-and-class-groups-0710.5018"/></url>
<url><loc>https://scifaro.com/en/abs/on-injectivity-of-maps-between-grothendieck-groups-induced-by-completion-0710.5336</loc><lastmod>2007-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-injectivity-of-maps-between-grothendieck-groups-induced-by-completion-0710.5336"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-injectivity-of-maps-between-grothendieck-groups-induced-by-completion-0710.5336"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347</loc><lastmod>2007-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/></url>
<url><loc>https://scifaro.com/zh/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347</loc><lastmod>2007-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0710.5347"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522</loc><lastmod>2008-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/></url>
<url><loc>https://scifaro.com/zh/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522</loc><lastmod>2008-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-series-and-valuation-rings-over-nonclosed-fields-0710.5522"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818</loc><lastmod>2007-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/></url>
<url><loc>https://scifaro.com/zh/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818</loc><lastmod>2007-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-tor-over-complete-intersections-and-applications-0710.5818"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863</loc><lastmod>2008-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/></url>
<url><loc>https://scifaro.com/zh/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863</loc><lastmod>2008-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-proof-of-grothendieck-s-non-vanishing-theorem-0710.5863"/></url>
<url><loc>https://scifaro.com/en/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026</loc><lastmod>2007-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/></url>
<url><loc>https://scifaro.com/zh/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026</loc><lastmod>2007-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-subsets-of-projective-space-and-their-ideals-0711.1026"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691</loc><lastmod>2007-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/></url>
<url><loc>https://scifaro.com/zh/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691</loc><lastmod>2007-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-multiplicity-by-shifts-in-the-taylor-resolution-0711.1691"/></url>
<url><loc>https://scifaro.com/en/abs/constructible-ideals-0711.1769</loc><lastmod>2007-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructible-ideals-0711.1769"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/constructible-ideals-0711.1769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructible-ideals-0711.1769"/></url>
<url><loc>https://scifaro.com/zh/abs/constructible-ideals-0711.1769</loc><lastmod>2007-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructible-ideals-0711.1769"/><xhtml:link rel="alternate" hreflang="zh" href="https://scifaro.com/zh/abs/constructible-ideals-0711.1769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructible-ideals-0711.1769"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-varieties-of-minimal-degree-0711.2714</loc><lastmod>2007-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-varieties-of-minimal-degree-0711.2714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-varieties-of-minimal-degree-0711.2714"/></url>
<url><loc>https://scifaro.com/en/abs/invarianten-zusammenh-angender-gruppen-und-die-cohen-macaulay-eigenschaft-0711.2737</loc><lastmod>2007-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invarianten-zusammenh-angender-gruppen-und-die-cohen-macaulay-eigenschaft-0711.2737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invarianten-zusammenh-angender-gruppen-und-die-cohen-macaulay-eigenschaft-0711.2737"/></url>
<url><loc>https://scifaro.com/en/abs/konstruktion-von-invariantenringen-ohne-die-cohen-macaulay-eigenschaft-0711.2738</loc><lastmod>2007-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/konstruktion-von-invariantenringen-ohne-die-cohen-macaulay-eigenschaft-0711.2738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/konstruktion-von-invariantenringen-ohne-die-cohen-macaulay-eigenschaft-0711.2738"/></url>
<url><loc>https://scifaro.com/en/abs/two-way-subtable-sum-problems-and-quadratic-groebner-bases-0711.2938</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-way-subtable-sum-problems-and-quadratic-groebner-bases-0711.2938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-way-subtable-sum-problems-and-quadratic-groebner-bases-0711.2938"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-invariants-of-mixed-product-ideals-0711.3061</loc><lastmod>2007-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-mixed-product-ideals-0711.3061"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-mixed-product-ideals-0711.3061"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-hypergraphs-0711.3368</loc><lastmod>2008-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-hypergraphs-0711.3368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-hypergraphs-0711.3368"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-test-ideals-sharp-f-purity-and-sharp-test-elements-0711.3380</loc><lastmod>2009-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-test-ideals-sharp-f-purity-and-sharp-test-elements-0711.3380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-test-ideals-sharp-f-purity-and-sharp-test-elements-0711.3380"/></url>
<url><loc>https://scifaro.com/en/abs/on-ramanujan-cubic-polynomials-0711.3420</loc><lastmod>2007-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ramanujan-cubic-polynomials-0711.3420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ramanujan-cubic-polynomials-0711.3420"/></url>
<url><loc>https://scifaro.com/en/abs/efficiently-computing-groebner-bases-of-ideals-of-points-0711.3475</loc><lastmod>2007-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficiently-computing-groebner-bases-of-ideals-of-points-0711.3475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficiently-computing-groebner-bases-of-ideals-of-points-0711.3475"/></url>
<url><loc>https://scifaro.com/en/abs/ueber-die-tiefe-von-invariantenringen-unendlicher-gruppen-0711.4730</loc><lastmod>2007-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ueber-die-tiefe-von-invariantenringen-unendlicher-gruppen-0711.4730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ueber-die-tiefe-von-invariantenringen-unendlicher-gruppen-0711.4730"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-invariant-rings-of-infinite-groups-0711.4740</loc><lastmod>2014-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-invariant-rings-of-infinite-groups-0711.4740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-invariant-rings-of-infinite-groups-0711.4740"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-on-the-reduction-number-of-an-ideal-0711.4880</loc><lastmod>2007-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-on-the-reduction-number-of-an-ideal-0711.4880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-on-the-reduction-number-of-an-ideal-0711.4880"/></url>
<url><loc>https://scifaro.com/en/abs/janet-s-algorithm-0712.0068</loc><lastmod>2011-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/janet-s-algorithm-0712.0068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/janet-s-algorithm-0712.0068"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-global-dimensions-and-cotorsion-dimension-of-rings-0712.0123</loc><lastmod>2008-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-global-dimensions-and-cotorsion-dimension-of-rings-0712.0123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-global-dimensions-and-cotorsion-dimension-of-rings-0712.0123"/></url>
<url><loc>https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-product-of-rings-0712.0126</loc><lastmod>2008-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-product-of-rings-0712.0126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-product-of-rings-0712.0126"/></url>
<url><loc>https://scifaro.com/en/abs/rings-over-which-all-modules-are-strongly-gorenstein-projective-0712.0127</loc><lastmod>2008-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-over-which-all-modules-are-strongly-gorenstein-projective-0712.0127"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-over-which-all-modules-are-strongly-gorenstein-projective-0712.0127"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-like-conditions-in-subring-retracts-and-applications-0712.0128</loc><lastmod>2007-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-in-subring-retracts-and-applications-0712.0128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-in-subring-retracts-and-applications-0712.0128"/></url>
<url><loc>https://scifaro.com/en/abs/modules-with-finite-cousin-cohomologies-have-uniform-local-cohomological-annihilators-0712.0665</loc><lastmod>2007-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-with-finite-cousin-cohomologies-have-uniform-local-cohomological-annihilators-0712.0665"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-with-finite-cousin-cohomologies-have-uniform-local-cohomological-annihilators-0712.0665"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-of-codimension-three-almost-complete-intersections-0712.0818</loc><lastmod>2007-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-of-codimension-three-almost-complete-intersections-0712.0818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-of-codimension-three-almost-complete-intersections-0712.0818"/></url>
<url><loc>https://scifaro.com/en/abs/projective-equivalence-of-ideals-in-noetherian-integral-domains-0712.0833</loc><lastmod>2007-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-equivalence-of-ideals-in-noetherian-integral-domains-0712.0833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-equivalence-of-ideals-in-noetherian-integral-domains-0712.0833"/></url>
<url><loc>https://scifaro.com/en/abs/projectively-full-ideals-in-noetherian-rings-a-survey-0712.1244</loc><lastmod>2007-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projectively-full-ideals-in-noetherian-rings-a-survey-0712.1244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projectively-full-ideals-in-noetherian-rings-a-survey-0712.1244"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-rees-algebras-vertex-covers-and-irreducible-representations-of-rees-cones-0712.1249</loc><lastmod>2011-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-rees-algebras-vertex-covers-and-irreducible-representations-of-rees-cones-0712.1249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-rees-algebras-vertex-covers-and-irreducible-representations-of-rees-cones-0712.1249"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-and-macaulay-s-inverse-systems-0712.1804</loc><lastmod>2011-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-and-macaulay-s-inverse-systems-0712.1804"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-and-macaulay-s-inverse-systems-0712.1804"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-cohomology-of-vector-bundles-0712.1843</loc><lastmod>2008-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-cohomology-of-vector-bundles-0712.1843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-cohomology-of-vector-bundles-0712.1843"/></url>
<url><loc>https://scifaro.com/en/abs/on-localizing-subcategories-of-derived-categories-0712.1874</loc><lastmod>2009-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-localizing-subcategories-of-derived-categories-0712.1874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-localizing-subcategories-of-derived-categories-0712.1874"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-monomial-ideal-0712.2308</loc><lastmod>2007-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-monomial-ideal-0712.2308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-monomial-ideal-0712.2308"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-and-shifted-skew-shapes-0712.2537</loc><lastmod>2007-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-and-shifted-skew-shapes-0712.2537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-and-shifted-skew-shapes-0712.2537"/></url>
<url><loc>https://scifaro.com/en/abs/uniqueness-of-real-closure-of-regular-rings-0712.2674</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-regular-rings-0712.2674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniqueness-of-real-closure-of-regular-rings-0712.2674"/></url>
<url><loc>https://scifaro.com/en/abs/on-pairs-of-commuting-nilpotent-matrices-0712.2813</loc><lastmod>2008-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pairs-of-commuting-nilpotent-matrices-0712.2813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pairs-of-commuting-nilpotent-matrices-0712.2813"/></url>
<url><loc>https://scifaro.com/en/abs/on-ext-indices-of-ring-extensions-0712.2866</loc><lastmod>2007-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ext-indices-of-ring-extensions-0712.2866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ext-indices-of-ring-extensions-0712.2866"/></url>
<url><loc>https://scifaro.com/en/abs/relations-between-semidualizing-complexes-0712.3275</loc><lastmod>2008-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relations-between-semidualizing-complexes-0712.3275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relations-between-semidualizing-complexes-0712.3275"/></url>
<url><loc>https://scifaro.com/en/abs/serre-s-condition-r-l-for-affine-semigroup-rings-0712.3818</loc><lastmod>2007-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/serre-s-condition-r-l-for-affine-semigroup-rings-0712.3818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/serre-s-condition-r-l-for-affine-semigroup-rings-0712.3818"/></url>
<url><loc>https://scifaro.com/en/abs/a-unified-approach-to-local-cohomology-modules-using-serre-classes-0712.3875</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-unified-approach-to-local-cohomology-modules-using-serre-classes-0712.3875"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-unified-approach-to-local-cohomology-modules-using-serre-classes-0712.3875"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-bases-for-generalized-algebraic-series-fields-0712.4037</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-bases-for-generalized-algebraic-series-fields-0712.4037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-bases-for-generalized-algebraic-series-fields-0712.4037"/></url>
<url><loc>https://scifaro.com/en/abs/signed-eliminable-graphs-and-free-multiplicities-on-the-braid-arrangement-0712.4110</loc><lastmod>2017-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/signed-eliminable-graphs-and-free-multiplicities-on-the-braid-arrangement-0712.4110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/signed-eliminable-graphs-and-free-multiplicities-on-the-braid-arrangement-0712.4110"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-value-semigroup-of-a-simple-complete-ideal-in-a-two-dimensional-regular-local-ring-0712.4329</loc><lastmod>2007-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-value-semigroup-of-a-simple-complete-ideal-in-a-two-dimensional-regular-local-ring-0712.4329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-value-semigroup-of-a-simple-complete-ideal-in-a-two-dimensional-regular-local-ring-0712.4329"/></url>
<url><loc>https://scifaro.com/en/abs/a-zero-divisor-graph-determined-by-equivalence-classes-of-zero-divisors-0801.0086</loc><lastmod>2009-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-zero-divisor-graph-determined-by-equivalence-classes-of-zero-divisors-0801.0086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-zero-divisor-graph-determined-by-equivalence-classes-of-zero-divisors-0801.0086"/></url>
<url><loc>https://scifaro.com/en/abs/shestakov-umirbaev-reductions-and-nagata-s-conjecture-on-a-polynomial-automorphism-0801.0117</loc><lastmod>2008-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shestakov-umirbaev-reductions-and-nagata-s-conjecture-on-a-polynomial-automorphism-0801.0117"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shestakov-umirbaev-reductions-and-nagata-s-conjecture-on-a-polynomial-automorphism-0801.0117"/></url>
<url><loc>https://scifaro.com/en/abs/the-lex-plus-powers-conjecture-holds-for-pure-powers-0801.0391</loc><lastmod>2008-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lex-plus-powers-conjecture-holds-for-pure-powers-0801.0391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lex-plus-powers-conjecture-holds-for-pure-powers-0801.0391"/></url>
<url><loc>https://scifaro.com/en/abs/semigroups-of-valuations-dominating-local-domains-0801.0449</loc><lastmod>2008-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semigroups-of-valuations-dominating-local-domains-0801.0449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semigroups-of-valuations-dominating-local-domains-0801.0449"/></url>
<url><loc>https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-products-of-rings-0801.0483</loc><lastmod>2008-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-products-of-rings-0801.0483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-gorenstein-dimensions-of-polynomial-rings-and-of-direct-products-of-rings-0801.0483"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-polynomial-of-an-exponential-automorphism-of-c-n-0801.0616</loc><lastmod>2015-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-polynomial-of-an-exponential-automorphism-of-c-n-0801.0616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-polynomial-of-an-exponential-automorphism-of-c-n-0801.0616"/></url>
<url><loc>https://scifaro.com/en/abs/the-goto-numbers-of-parameter-ideals-0801.0685</loc><lastmod>2008-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-goto-numbers-of-parameter-ideals-0801.0685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-goto-numbers-of-parameter-ideals-0801.0685"/></url>
<url><loc>https://scifaro.com/en/abs/diophantine-inequality-for-equicharacteristic-excellent-henselian-local-domains-0801.0912</loc><lastmod>2011-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diophantine-inequality-for-equicharacteristic-excellent-henselian-local-domains-0801.0912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diophantine-inequality-for-equicharacteristic-excellent-henselian-local-domains-0801.0912"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-of-nested-configurations-0801.0929</loc><lastmod>2008-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-of-nested-configurations-0801.0929"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-of-nested-configurations-0801.0929"/></url>
<url><loc>https://scifaro.com/en/abs/new-developments-in-the-theory-of-groebner-bases-and-applications-to-formal-verification-0801.1177</loc><lastmod>2008-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-developments-in-the-theory-of-groebner-bases-and-applications-to-formal-verification-0801.1177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-developments-in-the-theory-of-groebner-bases-and-applications-to-formal-verification-0801.1177"/></url>
<url><loc>https://scifaro.com/en/abs/rings-over-which-the-class-of-gorenstein-flat-modules-is-closed-under-extensions-0801.1183</loc><lastmod>2008-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-over-which-the-class-of-gorenstein-flat-modules-is-closed-under-extensions-0801.1183"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-over-which-the-class-of-gorenstein-flat-modules-is-closed-under-extensions-0801.1183"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-and-combinatorial-properties-of-ideals-and-algebras-of-uniform-clutters-of-tdi-systems-0801.1478</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-and-combinatorial-properties-of-ideals-and-algebras-of-uniform-clutters-of-tdi-systems-0801.1478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-and-combinatorial-properties-of-ideals-and-algebras-of-uniform-clutters-of-tdi-systems-0801.1478"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-and-asymptotic-minimal-growth-for-gorenstein-hilbert-functions-0801.1569</loc><lastmod>2009-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-and-asymptotic-minimal-growth-for-gorenstein-hilbert-functions-0801.1569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-and-asymptotic-minimal-growth-for-gorenstein-hilbert-functions-0801.1569"/></url>
<url><loc>https://scifaro.com/en/abs/uppers-to-zero-in-polynomial-rings-and-pr-ufer-like-domains-0801.1632</loc><lastmod>2008-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uppers-to-zero-in-polynomial-rings-and-pr-ufer-like-domains-0801.1632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uppers-to-zero-in-polynomial-rings-and-pr-ufer-like-domains-0801.1632"/></url>
<url><loc>https://scifaro.com/en/abs/on-n-perfect-rings-and-cotorsion-dimension-0801.2067</loc><lastmod>2008-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-n-perfect-rings-and-cotorsion-dimension-0801.2067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-n-perfect-rings-and-cotorsion-dimension-0801.2067"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-properties-of-non-standard-multigraded-modules-0801.2247</loc><lastmod>2008-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-properties-of-non-standard-multigraded-modules-0801.2247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-properties-of-non-standard-multigraded-modules-0801.2247"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-transversal-polymatroids-with-gorenstein-base-ring-0801.2329</loc><lastmod>2008-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-transversal-polymatroids-with-gorenstein-base-ring-0801.2329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-transversal-polymatroids-with-gorenstein-base-ring-0801.2329"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-multigraded-modules-0801.2632</loc><lastmod>2008-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-multigraded-modules-0801.2632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-multigraded-modules-0801.2632"/></url>
<url><loc>https://scifaro.com/en/abs/regular-sequences-of-symmetric-polynomials-0801.2662</loc><lastmod>2018-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-sequences-of-symmetric-polynomials-0801.2662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-sequences-of-symmetric-polynomials-0801.2662"/></url>
<url><loc>https://scifaro.com/en/abs/integrally-closed-and-componentwise-linear-ideals-0801.3373</loc><lastmod>2009-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrally-closed-and-componentwise-linear-ideals-0801.3373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrally-closed-and-componentwise-linear-ideals-0801.3373"/></url>
<url><loc>https://scifaro.com/en/abs/normal-toric-ideals-of-low-codimension-0801.3826</loc><lastmod>2008-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-toric-ideals-of-low-codimension-0801.3826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-toric-ideals-of-low-codimension-0801.3826"/></url>
<url><loc>https://scifaro.com/en/abs/on-finite-generation-of-symbolic-rees-rings-of-space-monomial-curves-and-existence-of-negative-curves-0801.3896</loc><lastmod>2009-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-finite-generation-of-symbolic-rees-rings-of-space-monomial-curves-and-existence-of-negative-curves-0801.3896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-finite-generation-of-symbolic-rees-rings-of-space-monomial-curves-and-existence-of-negative-curves-0801.3896"/></url>
<url><loc>https://scifaro.com/en/abs/a-gr-obner-basis-proof-of-the-flat-extension-theorem-for-moment-matrices-0801.4243</loc><lastmod>2009-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gr-obner-basis-proof-of-the-flat-extension-theorem-for-moment-matrices-0801.4243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gr-obner-basis-proof-of-the-flat-extension-theorem-for-moment-matrices-0801.4243"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-finding-symmetric-gr-obner-bases-in-infinite-dimensional-rings-0801.4439</loc><lastmod>2008-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-finding-symmetric-gr-obner-bases-in-infinite-dimensional-rings-0801.4439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-finding-symmetric-gr-obner-bases-in-infinite-dimensional-rings-0801.4439"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-the-number-of-semidualizing-complexes-over-a-local-ring-0801.4743</loc><lastmod>2009-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-the-number-of-semidualizing-complexes-over-a-local-ring-0801.4743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-the-number-of-semidualizing-complexes-over-a-local-ring-0801.4743"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-and-depth-of-the-associated-graded-ring-of-an-ideal-0801.4866</loc><lastmod>2008-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-and-depth-of-the-associated-graded-ring-of-an-ideal-0801.4866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-and-depth-of-the-associated-graded-ring-of-an-ideal-0801.4866"/></url>
<url><loc>https://scifaro.com/en/abs/the-chern-coefficients-of-local-rings-0802.0205</loc><lastmod>2012-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-chern-coefficients-of-local-rings-0802.0205"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-chern-coefficients-of-local-rings-0802.0205"/></url>
<url><loc>https://scifaro.com/en/abs/bound-on-the-multiplicity-of-almost-complete-intersections-0802.0469</loc><lastmod>2010-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bound-on-the-multiplicity-of-almost-complete-intersections-0802.0469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bound-on-the-multiplicity-of-almost-complete-intersections-0802.0469"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-local-rings-with-rational-poincar-e-series-0802.0654</loc><lastmod>2008-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-local-rings-with-rational-poincar-e-series-0802.0654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-local-rings-with-rational-poincar-e-series-0802.0654"/></url>
<url><loc>https://scifaro.com/en/abs/isomorphism-classes-of-certain-artinian-gorenstein-algebras-0802.0841</loc><lastmod>2009-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphism-classes-of-certain-artinian-gorenstein-algebras-0802.0841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphism-classes-of-certain-artinian-gorenstein-algebras-0802.0841"/></url>
<url><loc>https://scifaro.com/en/abs/bornes-pour-la-r-egularit-e-de-castelnuovo-mumford-des-sch-emas-non-lisses-0802.1112</loc><lastmod>2008-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bornes-pour-la-r-egularit-e-de-castelnuovo-mumford-des-sch-emas-non-lisses-0802.1112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bornes-pour-la-r-egularit-e-de-castelnuovo-mumford-des-sch-emas-non-lisses-0802.1112"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-lexsegment-ideals-0802.1279</loc><lastmod>2008-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-lexsegment-ideals-0802.1279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-lexsegment-ideals-0802.1279"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-multiplicity-conjecture-for-non-cohen-macaulay-simplicial-complexes-0802.1282</loc><lastmod>2008-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-multiplicity-conjecture-for-non-cohen-macaulay-simplicial-complexes-0802.1282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-multiplicity-conjecture-for-non-cohen-macaulay-simplicial-complexes-0802.1282"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-deformations-connectedness-and-cohomological-dimension-0802.1800</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-deformations-connectedness-and-cohomological-dimension-0802.1800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-deformations-connectedness-and-cohomological-dimension-0802.1800"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-multigraded-algebras-mixed-multiplicities-of-ideals-and-their-applications-0802.2329</loc><lastmod>2008-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-multigraded-algebras-mixed-multiplicities-of-ideals-and-their-applications-0802.2329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-multigraded-algebras-mixed-multiplicities-of-ideals-and-their-applications-0802.2329"/></url>
<url><loc>https://scifaro.com/en/abs/skeletons-of-monomial-ideals-0802.2769</loc><lastmod>2008-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/skeletons-of-monomial-ideals-0802.2769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/skeletons-of-monomial-ideals-0802.2769"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-reiten-translate-on-monomial-quotient-rings-0802.2772</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-reiten-translate-on-monomial-quotient-rings-0802.2772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-reiten-translate-on-monomial-quotient-rings-0802.2772"/></url>
<url><loc>https://scifaro.com/en/abs/on-border-basis-and-groebner-basis-schemes-0802.2793</loc><lastmod>2008-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-border-basis-and-groebner-basis-schemes-0802.2793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-border-basis-and-groebner-basis-schemes-0802.2793"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-of-clique-clutters-of-comparability-graphs-and-the-normality-of-monomial-ideals-0802.3375</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-of-clique-clutters-of-comparability-graphs-and-the-normality-of-monomial-ideals-0802.3375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-of-clique-clutters-of-comparability-graphs-and-the-normality-of-monomial-ideals-0802.3375"/></url>
<url><loc>https://scifaro.com/en/abs/some-arithmetic-properties-of-matroidal-ideals-0802.3737</loc><lastmod>2008-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-arithmetic-properties-of-matroidal-ideals-0802.3737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-arithmetic-properties-of-matroidal-ideals-0802.3737"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-local-cohomology-modules-and-homological-gorenstein-dimensions-0803.0107</loc><lastmod>2010-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-local-cohomology-modules-and-homological-gorenstein-dimensions-0803.0107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-local-cohomology-modules-and-homological-gorenstein-dimensions-0803.0107"/></url>
<url><loc>https://scifaro.com/en/abs/a-bound-for-orders-in-differential-nullstellensatz-0803.0160</loc><lastmod>2013-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bound-for-orders-in-differential-nullstellensatz-0803.0160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bound-for-orders-in-differential-nullstellensatz-0803.0160"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-koszul-homology-computations-and-applications-0803.0421</loc><lastmod>2008-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-koszul-homology-computations-and-applications-0803.0421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-koszul-homology-computations-and-applications-0803.0421"/></url>
<url><loc>https://scifaro.com/en/abs/the-finiteness-dimension-of-local-cohomology-modules-and-its-dual-notion-0803.0461</loc><lastmod>2008-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-finiteness-dimension-of-local-cohomology-modules-and-its-dual-notion-0803.0461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-finiteness-dimension-of-local-cohomology-modules-and-its-dual-notion-0803.0461"/></url>
<url><loc>https://scifaro.com/en/abs/the-defining-ideals-of-conjugacy-classes-of-nilpotent-matrices-and-a-conjecture-of-weyman-0803.0658</loc><lastmod>2008-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-defining-ideals-of-conjugacy-classes-of-nilpotent-matrices-and-a-conjecture-of-weyman-0803.0658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-defining-ideals-of-conjugacy-classes-of-nilpotent-matrices-and-a-conjecture-of-weyman-0803.0658"/></url>
<url><loc>https://scifaro.com/en/abs/spaces-of-mathbb-r-places-of-rational-function-fields-0803.0676</loc><lastmod>2008-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spaces-of-mathbb-r-places-of-rational-function-fields-0803.0676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spaces-of-mathbb-r-places-of-rational-function-fields-0803.0676"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-examples-by-iyama-and-yoshino-0803.0720</loc><lastmod>2014-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-examples-by-iyama-and-yoshino-0803.0720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-examples-by-iyama-and-yoshino-0803.0720"/></url>
<url><loc>https://scifaro.com/en/abs/ab-contexts-and-stability-for-gorenstein-flat-modules-with-respect-to-semidualizing-modules-0803.0998</loc><lastmod>2008-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ab-contexts-and-stability-for-gorenstein-flat-modules-with-respect-to-semidualizing-modules-0803.0998"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ab-contexts-and-stability-for-gorenstein-flat-modules-with-respect-to-semidualizing-modules-0803.0998"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-computation-of-the-topology-of-a-non-reduced-implicit-space-curve-0803.1110</loc><lastmod>2008-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-computation-of-the-topology-of-a-non-reduced-implicit-space-curve-0803.1110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-computation-of-the-topology-of-a-non-reduced-implicit-space-curve-0803.1110"/></url>
<url><loc>https://scifaro.com/en/abs/systems-with-the-integer-rounding-property-in-normal-monomial-subrings-0803.1208</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/systems-with-the-integer-rounding-property-in-normal-monomial-subrings-0803.1208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/systems-with-the-integer-rounding-property-in-normal-monomial-subrings-0803.1208"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-admissible-clutters-0803.1332</loc><lastmod>2008-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-admissible-clutters-0803.1332"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-admissible-clutters-0803.1332"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-2-linear-ideals-and-arithmetical-rank-0803.1535</loc><lastmod>2008-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-2-linear-ideals-and-arithmetical-rank-0803.1535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-2-linear-ideals-and-arithmetical-rank-0803.1535"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-the-multiplicity-conjecture-in-the-non-cohen-macaulay-case-0803.1645</loc><lastmod>2008-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-the-multiplicity-conjecture-in-the-non-cohen-macaulay-case-0803.1645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-graded-modules-and-the-multiplicity-conjecture-in-the-non-cohen-macaulay-case-0803.1645"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-hypergraphs-that-generalizes-chordal-graphs-0803.2150</loc><lastmod>2008-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-hypergraphs-that-generalizes-chordal-graphs-0803.2150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-hypergraphs-that-generalizes-chordal-graphs-0803.2150"/></url>
<url><loc>https://scifaro.com/en/abs/tropicalization-and-irreducibility-of-generalized-vandermonde-determinants-0803.2166</loc><lastmod>2009-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tropicalization-and-irreducibility-of-generalized-vandermonde-determinants-0803.2166"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tropicalization-and-irreducibility-of-generalized-vandermonde-determinants-0803.2166"/></url>
<url><loc>https://scifaro.com/en/abs/all-cyclic-p-roots-of-index-3-found-by-symmetry-preserving-calculations-0803.2506</loc><lastmod>2008-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/all-cyclic-p-roots-of-index-3-found-by-symmetry-preserving-calculations-0803.2506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/all-cyclic-p-roots-of-index-3-found-by-symmetry-preserving-calculations-0803.2506"/></url>
<url><loc>https://scifaro.com/en/abs/cyclic-p-roots-of-prime-lengths-p-and-related-complex-hadamard-matrices-0803.2629</loc><lastmod>2008-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cyclic-p-roots-of-prime-lengths-p-and-related-complex-hadamard-matrices-0803.2629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cyclic-p-roots-of-prime-lengths-p-and-related-complex-hadamard-matrices-0803.2629"/></url>
<url><loc>https://scifaro.com/en/abs/vector-spaces-as-unions-of-proper-subspaces-0803.2746</loc><lastmod>2015-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-spaces-as-unions-of-proper-subspaces-0803.2746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-spaces-as-unions-of-proper-subspaces-0803.2746"/></url>
<url><loc>https://scifaro.com/en/abs/finite-sets-of-d-planes-in-affine-space-0803.3141</loc><lastmod>2008-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-sets-of-d-planes-in-affine-space-0803.3141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-sets-of-d-planes-in-affine-space-0803.3141"/></url>
<url><loc>https://scifaro.com/en/abs/relative-cohen-macaulayness-of-bigraded-modules-0803.3263</loc><lastmod>2008-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-cohen-macaulayness-of-bigraded-modules-0803.3263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-cohen-macaulayness-of-bigraded-modules-0803.3263"/></url>
<url><loc>https://scifaro.com/en/abs/the-strength-of-the-weak-lefschetz-property-0803.3413</loc><lastmod>2009-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strength-of-the-weak-lefschetz-property-0803.3413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strength-of-the-weak-lefschetz-property-0803.3413"/></url>
<url><loc>https://scifaro.com/en/abs/linearity-defects-of-modules-over-commutative-rings-0803.3677</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-defects-of-modules-over-commutative-rings-0803.3677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-defects-of-modules-over-commutative-rings-0803.3677"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-binomial-primary-decomposition-0803.3846</loc><lastmod>2008-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-binomial-primary-decomposition-0803.3846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-binomial-primary-decomposition-0803.3846"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-monomial-ideals-of-codimension-2-0804.0475</loc><lastmod>2008-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-monomial-ideals-of-codimension-2-0804.0475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-monomial-ideals-of-codimension-2-0804.0475"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-mixed-product-ideals-0804.0756</loc><lastmod>2008-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-mixed-product-ideals-0804.0756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-mixed-product-ideals-0804.0756"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-stability-of-certain-sets-of-associated-prime-ideals-of-local-cohomology-modules-0804.0964</loc><lastmod>2008-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-stability-of-certain-sets-of-associated-prime-ideals-of-local-cohomology-modules-0804.0964"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-stability-of-certain-sets-of-associated-prime-ideals-of-local-cohomology-modules-0804.0964"/></url>
<url><loc>https://scifaro.com/en/abs/building-counterexamples-to-generalizations-for-rational-functions-of-ritt-s-decomposition-theorem-0804.1687</loc><lastmod>2008-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/building-counterexamples-to-generalizations-for-rational-functions-of-ritt-s-decomposition-theorem-0804.1687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/building-counterexamples-to-generalizations-for-rational-functions-of-ritt-s-decomposition-theorem-0804.1687"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-criteria-of-the-f5-algorithm-0804.2033</loc><lastmod>2008-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-criteria-of-the-f5-algorithm-0804.2033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-criteria-of-the-f5-algorithm-0804.2033"/></url>
<url><loc>https://scifaro.com/en/abs/extension-of-bounded-root-functionals-of-a-system-of-polynomial-equations-0804.2420</loc><lastmod>2009-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-of-bounded-root-functionals-of-a-system-of-polynomial-equations-0804.2420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-of-bounded-root-functionals-of-a-system-of-polynomial-equations-0804.2420"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohomologically-complete-intersections-0804.2558</loc><lastmod>2008-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohomologically-complete-intersections-0804.2558"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohomologically-complete-intersections-0804.2558"/></url>
<url><loc>https://scifaro.com/en/abs/the-core-of-ideals-in-arbitrary-characteristic-0804.2690</loc><lastmod>2008-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-core-of-ideals-in-arbitrary-characteristic-0804.2690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-core-of-ideals-in-arbitrary-characteristic-0804.2690"/></url>
<url><loc>https://scifaro.com/en/abs/forcing-the-strong-lefschetz-and-the-maximal-rank-properties-0804.2877</loc><lastmod>2009-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/forcing-the-strong-lefschetz-and-the-maximal-rank-properties-0804.2877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/forcing-the-strong-lefschetz-and-the-maximal-rank-properties-0804.2877"/></url>
<url><loc>https://scifaro.com/en/abs/a-groebner-basis-for-the-secant-ideal-of-the-second-hypersimplex-0804.2897</loc><lastmod>2008-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-groebner-basis-for-the-secant-ideal-of-the-second-hypersimplex-0804.2897"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-groebner-basis-for-the-secant-ideal-of-the-second-hypersimplex-0804.2897"/></url>
<url><loc>https://scifaro.com/en/abs/the-conjecture-of-nowicki-on-weitzenboeck-derivations-of-polynomial-algebras-0804.2933</loc><lastmod>2008-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-conjecture-of-nowicki-on-weitzenboeck-derivations-of-polynomial-algebras-0804.2933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-conjecture-of-nowicki-on-weitzenboeck-derivations-of-polynomial-algebras-0804.2933"/></url>
<url><loc>https://scifaro.com/en/abs/simple-polytopes-arising-from-finite-graphs-0804.4287</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-polytopes-arising-from-finite-graphs-0804.4287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-polytopes-arising-from-finite-graphs-0804.4287"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-chern-number-of-a-filtration-0804.4438</loc><lastmod>2008-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-chern-number-of-a-filtration-0804.4438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-chern-number-of-a-filtration-0804.4438"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-a-finitely-generated-module-over-a-regular-local-ring-0804.4442</loc><lastmod>2009-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-a-finitely-generated-module-over-a-regular-local-ring-0804.4442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-a-finitely-generated-module-over-a-regular-local-ring-0804.4442"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-with-respect-to-serre-classes-0804.4795</loc><lastmod>2008-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-with-respect-to-serre-classes-0804.4795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-with-respect-to-serre-classes-0804.4795"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-and-the-order-of-quasi-regular-implicit-systems-of-differential-equations-0804.4842</loc><lastmod>2008-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-and-the-order-of-quasi-regular-implicit-systems-of-differential-equations-0804.4842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-and-the-order-of-quasi-regular-implicit-systems-of-differential-equations-0804.4842"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-gorenstein-rings-0805.0210</loc><lastmod>2008-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-gorenstein-rings-0805.0210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-gorenstein-rings-0805.0210"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-decompositions-and-localization-0805.0467</loc><lastmod>2008-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-and-localization-0805.0467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-and-localization-0805.0467"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-big-indecomposable-modules-0805.0804</loc><lastmod>2008-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-big-indecomposable-modules-0805.0804"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-big-indecomposable-modules-0805.0804"/></url>
<url><loc>https://scifaro.com/en/abs/elliptic-dedekind-domains-revisited-0805.1082</loc><lastmod>2008-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elliptic-dedekind-domains-revisited-0805.1082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elliptic-dedekind-domains-revisited-0805.1082"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-the-cyclic-and-bicyclic-graphs-0805.1657</loc><lastmod>2015-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-the-cyclic-and-bicyclic-graphs-0805.1657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-the-cyclic-and-bicyclic-graphs-0805.1657"/></url>
<url><loc>https://scifaro.com/en/abs/cut-ideals-of-k4-minor-free-graphs-are-generated-by-quadrics-0805.1762</loc><lastmod>2010-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cut-ideals-of-k4-minor-free-graphs-are-generated-by-quadrics-0805.1762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cut-ideals-of-k4-minor-free-graphs-are-generated-by-quadrics-0805.1762"/></url>
<url><loc>https://scifaro.com/en/abs/totally-free-arrangements-of-hyperplanes-0805.2243</loc><lastmod>2009-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-free-arrangements-of-hyperplanes-0805.2243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-free-arrangements-of-hyperplanes-0805.2243"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-0805.2306</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-0805.2306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-0805.2306"/></url>
<url><loc>https://scifaro.com/en/abs/separating-algebras-and-finite-reflection-groups-0805.2605</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-algebras-and-finite-reflection-groups-0805.2605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-algebras-and-finite-reflection-groups-0805.2605"/></url>
<url><loc>https://scifaro.com/en/abs/intersections-of-base-rings-associated-to-transversal-polymatroids-0805.2729</loc><lastmod>2008-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intersections-of-base-rings-associated-to-transversal-polymatroids-0805.2729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intersections-of-base-rings-associated-to-transversal-polymatroids-0805.2729"/></url>
<url><loc>https://scifaro.com/en/abs/extending-the-coinvariant-theorems-of-chevalley-shephard-todd-mitchell-and-springer-0805.3694</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extending-the-coinvariant-theorems-of-chevalley-shephard-todd-mitchell-and-springer-0805.3694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extending-the-coinvariant-theorems-of-chevalley-shephard-todd-mitchell-and-springer-0805.3694"/></url>
<url><loc>https://scifaro.com/en/abs/embedded-associated-primes-of-powers-of-square-free-monomial-ideals-0805.3738</loc><lastmod>2009-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embedded-associated-primes-of-powers-of-square-free-monomial-ideals-0805.3738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embedded-associated-primes-of-powers-of-square-free-monomial-ideals-0805.3738"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-clutters-with-combinatorial-optimization-properties-and-parallelizations-of-normal-edge-ideals-0805.3838</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-clutters-with-combinatorial-optimization-properties-and-parallelizations-of-normal-edge-ideals-0805.3838"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-clutters-with-combinatorial-optimization-properties-and-parallelizations-of-normal-edge-ideals-0805.3838"/></url>
<url><loc>https://scifaro.com/en/abs/the-poincar-e-series-of-a-local-gorenstein-ring-of-multiplicity-up-to-10-is-rational-0805.3899</loc><lastmod>2008-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-poincar-e-series-of-a-local-gorenstein-ring-of-multiplicity-up-to-10-is-rational-0805.3899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-poincar-e-series-of-a-local-gorenstein-ring-of-multiplicity-up-to-10-is-rational-0805.3899"/></url>
<url><loc>https://scifaro.com/en/abs/continuation-of-root-functionals-of-a-system-of-polynomial-equations-and-the-reduction-of-polynomials-modulo-its-ideal-0805.4027</loc><lastmod>2008-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/continuation-of-root-functionals-of-a-system-of-polynomial-equations-and-the-reduction-of-polynomials-modulo-its-ideal-0805.4027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/continuation-of-root-functionals-of-a-system-of-polynomial-equations-and-the-reduction-of-polynomials-modulo-its-ideal-0805.4027"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-of-normalized-graph-algebras-0805.4449</loc><lastmod>2010-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-of-normalized-graph-algebras-0805.4449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-of-normalized-graph-algebras-0805.4449"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-and-upper-discrete-partitions-0805.4461</loc><lastmod>2008-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-and-upper-discrete-partitions-0805.4461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-complete-intersection-monomial-ideals-and-upper-discrete-partitions-0805.4461"/></url>
<url><loc>https://scifaro.com/en/abs/subresultants-in-recursive-polynomial-remainder-sequence-0806.0478</loc><lastmod>2010-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subresultants-in-recursive-polynomial-remainder-sequence-0806.0478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subresultants-in-recursive-polynomial-remainder-sequence-0806.0478"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-for-the-polynomial-ring-with-infinite-variables-and-their-applications-0806.0479</loc><lastmod>2008-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-for-the-polynomial-ring-with-infinite-variables-and-their-applications-0806.0479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-for-the-polynomial-ring-with-infinite-variables-and-their-applications-0806.0479"/></url>
<url><loc>https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-the-nested-subresultants-0806.0488</loc><lastmod>2010-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-the-nested-subresultants-0806.0488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-the-nested-subresultants-0806.0488"/></url>
<url><loc>https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-its-subresultants-0806.0495</loc><lastmod>2010-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-its-subresultants-0806.0495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recursive-polynomial-remainder-sequence-and-its-subresultants-0806.0495"/></url>
<url><loc>https://scifaro.com/en/abs/finite-generation-of-algebras-associated-to-powers-of-ideals-0806.0566</loc><lastmod>2015-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-generation-of-algebras-associated-to-powers-of-ideals-0806.0566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-generation-of-algebras-associated-to-powers-of-ideals-0806.0566"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-cut-ideals-associated-to-ring-graphs-0806.0585</loc><lastmod>2009-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-cut-ideals-associated-to-ring-graphs-0806.0585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-cut-ideals-associated-to-ring-graphs-0806.0585"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-polynomial-algebras-and-dirichlet-series-0806.0681</loc><lastmod>2008-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-polynomial-algebras-and-dirichlet-series-0806.0681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-polynomial-algebras-and-dirichlet-series-0806.0681"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-bipartite-graphs-and-sublattices-of-the-boolean-lattices-0806.1088</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-bipartite-graphs-and-sublattices-of-the-boolean-lattices-0806.1088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-bipartite-graphs-and-sublattices-of-the-boolean-lattices-0806.1088"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-monomial-ideals-and-odd-holes-in-graphs-0806.1159</loc><lastmod>2010-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-monomial-ideals-and-odd-holes-in-graphs-0806.1159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-monomial-ideals-and-odd-holes-in-graphs-0806.1159"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-algebra-0806.1171</loc><lastmod>2009-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-algebra-0806.1171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-algebra-0806.1171"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-matrix-algebra-0806.1178</loc><lastmod>2009-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-0806.1178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-0806.1178"/></url>
<url><loc>https://scifaro.com/en/abs/some-divisibility-properties-in-ring-of-polynomials-over-a-unique-factorization-domain-0806.1398</loc><lastmod>2008-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-divisibility-properties-in-ring-of-polynomials-over-a-unique-factorization-domain-0806.1398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-divisibility-properties-in-ring-of-polynomials-over-a-unique-factorization-domain-0806.1398"/></url>
<url><loc>https://scifaro.com/en/abs/on-2-partitionable-clutters-and-the-mfmc-property-0806.1772</loc><lastmod>2008-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-2-partitionable-clutters-and-the-mfmc-property-0806.1772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-2-partitionable-clutters-and-the-mfmc-property-0806.1772"/></url>
<url><loc>https://scifaro.com/en/abs/a-tight-closure-approach-to-a-result-of-g-faltings-0806.2808</loc><lastmod>2008-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-tight-closure-approach-to-a-result-of-g-faltings-0806.2808"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-tight-closure-approach-to-a-result-of-g-faltings-0806.2808"/></url>
<url><loc>https://scifaro.com/en/abs/invertible-and-nilpotent-matrices-over-antirings-0806.2996</loc><lastmod>2008-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invertible-and-nilpotent-matrices-over-antirings-0806.2996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invertible-and-nilpotent-matrices-over-antirings-0806.2996"/></url>
<url><loc>https://scifaro.com/en/abs/the-slice-algorithm-for-irreducible-decomposition-of-monomial-ideals-0806.3680</loc><lastmod>2009-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-slice-algorithm-for-irreducible-decomposition-of-monomial-ideals-0806.3680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-slice-algorithm-for-irreducible-decomposition-of-monomial-ideals-0806.3680"/></url>
<url><loc>https://scifaro.com/en/abs/the-semigroup-of-betti-diagrams-0806.4401</loc><lastmod>2012-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-semigroup-of-betti-diagrams-0806.4401"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-semigroup-of-betti-diagrams-0806.4401"/></url>
<url><loc>https://scifaro.com/en/abs/on-endomorphism-rings-and-dimensions-of-local-cohomology-modules-0806.4433</loc><lastmod>2008-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-endomorphism-rings-and-dimensions-of-local-cohomology-modules-0806.4433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-endomorphism-rings-and-dimensions-of-local-cohomology-modules-0806.4433"/></url>
<url><loc>https://scifaro.com/en/abs/poset-resolutions-of-monomial-ideals-0806.4532</loc><lastmod>2008-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poset-resolutions-of-monomial-ideals-0806.4532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poset-resolutions-of-monomial-ideals-0806.4532"/></url>
<url><loc>https://scifaro.com/en/abs/computing-j-multiplicity-0806.4820</loc><lastmod>2008-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-j-multiplicity-0806.4820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-j-multiplicity-0806.4820"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-approximation-dual-filtrations-and-applications-0807.0471</loc><lastmod>2021-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-approximation-dual-filtrations-and-applications-0807.0471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-approximation-dual-filtrations-and-applications-0807.0471"/></url>
<url><loc>https://scifaro.com/en/abs/transfer-of-gorenstein-dimensions-along-ring-homomorphisms-0807.0706</loc><lastmod>2009-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transfer-of-gorenstein-dimensions-along-ring-homomorphisms-0807.0706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transfer-of-gorenstein-dimensions-along-ring-homomorphisms-0807.0706"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-betti-numbers-of-bipartite-graph-ideals-0807.1540</loc><lastmod>2008-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-betti-numbers-of-bipartite-graph-ideals-0807.1540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-betti-numbers-of-bipartite-graph-ideals-0807.1540"/></url>
<url><loc>https://scifaro.com/en/abs/centers-of-f-purity-0807.1654</loc><lastmod>2010-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/centers-of-f-purity-0807.1654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/centers-of-f-purity-0807.1654"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-monomial-ideals-0807.1675</loc><lastmod>2008-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-monomial-ideals-0807.1675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-monomial-ideals-0807.1675"/></url>
<url><loc>https://scifaro.com/en/abs/content-algebras-over-commutative-rings-with-zero-divisors-0807.1835</loc><lastmod>2015-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/content-algebras-over-commutative-rings-with-zero-divisors-0807.1835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/content-algebras-over-commutative-rings-with-zero-divisors-0807.1835"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-in-three-variables-0807.2166</loc><lastmod>2008-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-in-three-variables-0807.2166"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-in-three-variables-0807.2166"/></url>
<url><loc>https://scifaro.com/en/abs/splittings-of-monomial-ideals-0807.2185</loc><lastmod>2009-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splittings-of-monomial-ideals-0807.2185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splittings-of-monomial-ideals-0807.2185"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-of-comparing-monomials-and-two-improvements-of-the-bm-algorithm-0807.2370</loc><lastmod>2010-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-of-comparing-monomials-and-two-improvements-of-the-bm-algorithm-0807.2370"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-of-comparing-monomials-and-two-improvements-of-the-bm-algorithm-0807.2370"/></url>
<url><loc>https://scifaro.com/en/abs/the-type-of-the-base-ring-associated-to-a-transversal-polymatroid-0807.2371</loc><lastmod>2008-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-type-of-the-base-ring-associated-to-a-transversal-polymatroid-0807.2371"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-type-of-the-base-ring-associated-to-a-transversal-polymatroid-0807.2371"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-logarithmic-module-and-duality-of-coxeter-multiarrangements-0807.2552</loc><lastmod>2008-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-logarithmic-module-and-duality-of-coxeter-multiarrangements-0807.2552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-logarithmic-module-and-duality-of-coxeter-multiarrangements-0807.2552"/></url>
<url><loc>https://scifaro.com/en/abs/the-signature-of-the-chern-coefficients-of-local-rings-0807.2686</loc><lastmod>2009-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-signature-of-the-chern-coefficients-of-local-rings-0807.2686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-signature-of-the-chern-coefficients-of-local-rings-0807.2686"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-modules-of-finite-length-0807.2956</loc><lastmod>2008-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-modules-of-finite-length-0807.2956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-modules-of-finite-length-0807.2956"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-associated-primes-artinianness-and-asymptotic-behaviour-0807.2967</loc><lastmod>2008-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-associated-primes-artinianness-and-asymptotic-behaviour-0807.2967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-associated-primes-artinianness-and-asymptotic-behaviour-0807.2967"/></url>
<url><loc>https://scifaro.com/en/abs/l-algebre-tropicale-comme-algebre-de-la-caracteristique-1-algebre-lineaire-sur-les-semi-corps-idempotents-0807.3088</loc><lastmod>2008-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/l-algebre-tropicale-comme-algebre-de-la-caracteristique-1-algebre-lineaire-sur-les-semi-corps-idempotents-0807.3088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/l-algebre-tropicale-comme-algebre-de-la-caracteristique-1-algebre-lineaire-sur-les-semi-corps-idempotents-0807.3088"/></url>
<url><loc>https://scifaro.com/en/abs/unique-representation-domains-ii-0807.3295</loc><lastmod>2008-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unique-representation-domains-ii-0807.3295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unique-representation-domains-ii-0807.3295"/></url>
<url><loc>https://scifaro.com/en/abs/w-divisoriality-in-polynomial-rings-0807.3299</loc><lastmod>2013-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/w-divisoriality-in-polynomial-rings-0807.3299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/w-divisoriality-in-polynomial-rings-0807.3299"/></url>
<url><loc>https://scifaro.com/en/abs/almost-vanishing-polynomials-for-sets-of-limited-precision-points-0807.3412</loc><lastmod>2009-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-vanishing-polynomials-for-sets-of-limited-precision-points-0807.3412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-vanishing-polynomials-for-sets-of-limited-precision-points-0807.3412"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-with-an-assigned-initial-ideal-0807.3877</loc><lastmod>2010-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-with-an-assigned-initial-ideal-0807.3877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-with-an-assigned-initial-ideal-0807.3877"/></url>
<url><loc>https://scifaro.com/en/abs/a-graded-methods-for-monomial-ideals-0807.4306</loc><lastmod>2009-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-graded-methods-for-monomial-ideals-0807.4306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-graded-methods-for-monomial-ideals-0807.4306"/></url>
<url><loc>https://scifaro.com/en/abs/modules-of-finite-homological-dimension-with-respect-to-a-semidualizing-module-0807.4661</loc><lastmod>2009-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-of-finite-homological-dimension-with-respect-to-a-semidualizing-module-0807.4661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-of-finite-homological-dimension-with-respect-to-a-semidualizing-module-0807.4661"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-properties-of-formal-local-cohomology-modules-and-cohen-macaulayness-0807.5042</loc><lastmod>2010-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-properties-of-formal-local-cohomology-modules-and-cohen-macaulayness-0807.5042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-properties-of-formal-local-cohomology-modules-and-cohen-macaulayness-0807.5042"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-subcategories-of-modules-over-a-commutative-noetherian-ring-0808.0058</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-subcategories-of-modules-over-a-commutative-noetherian-ring-0808.0058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-subcategories-of-modules-over-a-commutative-noetherian-ring-0808.0058"/></url>
<url><loc>https://scifaro.com/en/abs/classifications-of-cohen-macaulay-modules-the-base-ring-associated-to-a-transversal-polymatroid-0808.0252</loc><lastmod>2008-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifications-of-cohen-macaulay-modules-the-base-ring-associated-to-a-transversal-polymatroid-0808.0252"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifications-of-cohen-macaulay-modules-the-base-ring-associated-to-a-transversal-polymatroid-0808.0252"/></url>
<url><loc>https://scifaro.com/en/abs/trivial-extensions-defined-by-prufer-conditions-0808.0275</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trivial-extensions-defined-by-prufer-conditions-0808.0275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trivial-extensions-defined-by-prufer-conditions-0808.0275"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-formal-grade-of-finitely-generated-modules-over-local-rings-0808.0653</loc><lastmod>2010-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-formal-grade-of-finitely-generated-modules-over-local-rings-0808.0653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-formal-grade-of-finitely-generated-modules-over-local-rings-0808.0653"/></url>
<url><loc>https://scifaro.com/en/abs/semistar-dimension-of-polynomial-rings-and-pr-u-fer-like-domains-0808.1331</loc><lastmod>2010-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semistar-dimension-of-polynomial-rings-and-pr-u-fer-like-domains-0808.1331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semistar-dimension-of-polynomial-rings-and-pr-u-fer-like-domains-0808.1331"/></url>
<url><loc>https://scifaro.com/en/abs/graded-annihilators-and-tight-closure-test-ideals-0808.1483</loc><lastmod>2008-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-annihilators-and-tight-closure-test-ideals-0808.1483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-annihilators-and-tight-closure-test-ideals-0808.1483"/></url>
<url><loc>https://scifaro.com/en/abs/piecewise-polynomials-on-polyhedral-complexes-0808.2031</loc><lastmod>2015-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/piecewise-polynomials-on-polyhedral-complexes-0808.2031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/piecewise-polynomials-on-polyhedral-complexes-0808.2031"/></url>
<url><loc>https://scifaro.com/en/abs/tangent-cone-of-numerical-semigroup-rings-of-embedding-dimension-three-0808.2162</loc><lastmod>2011-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tangent-cone-of-numerical-semigroup-rings-of-embedding-dimension-three-0808.2162"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tangent-cone-of-numerical-semigroup-rings-of-embedding-dimension-three-0808.2162"/></url>
<url><loc>https://scifaro.com/en/abs/duality-relation-for-the-hilbert-series-of-almost-symmetric-numerical-semigroups-0808.2297</loc><lastmod>2008-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-relation-for-the-hilbert-series-of-almost-symmetric-numerical-semigroups-0808.2297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-relation-for-the-hilbert-series-of-almost-symmetric-numerical-semigroups-0808.2297"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-the-stanley-s-depth-for-multigraded-modules-0808.2657</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-the-stanley-s-depth-for-multigraded-modules-0808.2657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-the-stanley-s-depth-for-multigraded-modules-0808.2657"/></url>
<url><loc>https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-i-0808.3187</loc><lastmod>2011-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-i-0808.3187"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-i-0808.3187"/></url>
<url><loc>https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-ii-0808.3189</loc><lastmod>2011-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-ii-0808.3189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-annihilating-ideal-graph-of-commutative-rings-ii-0808.3189"/></url>
<url><loc>https://scifaro.com/en/abs/symplectic-polynomial-invariants-of-one-or-two-matrices-of-small-size-0808.3204</loc><lastmod>2012-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symplectic-polynomial-invariants-of-one-or-two-matrices-of-small-size-0808.3204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symplectic-polynomial-invariants-of-one-or-two-matrices-of-small-size-0808.3204"/></url>
<url><loc>https://scifaro.com/en/abs/ratliff-rush-filtration-regularity-and-depth-of-higher-associated-graded-modules-part-ii-0808.3258</loc><lastmod>2008-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-filtration-regularity-and-depth-of-higher-associated-graded-modules-part-ii-0808.3258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-filtration-regularity-and-depth-of-higher-associated-graded-modules-part-ii-0808.3258"/></url>
<url><loc>https://scifaro.com/en/abs/vector-space-bases-associated-to-vanishing-ideals-of-points-0808.3591</loc><lastmod>2010-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-space-bases-associated-to-vanishing-ideals-of-points-0808.3591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-space-bases-associated-to-vanishing-ideals-of-points-0808.3591"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-koszul-betti-numbers-in-positive-characteristic-0808.3825</loc><lastmod>2008-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-koszul-betti-numbers-in-positive-characteristic-0808.3825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-koszul-betti-numbers-in-positive-characteristic-0808.3825"/></url>
<url><loc>https://scifaro.com/en/abs/second-symmetric-powers-of-chain-complexes-0809.0018</loc><lastmod>2010-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/second-symmetric-powers-of-chain-complexes-0809.0018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/second-symmetric-powers-of-chain-complexes-0809.0018"/></url>
<url><loc>https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-0809.0095</loc><lastmod>2008-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-0809.0095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-0809.0095"/></url>
<url><loc>https://scifaro.com/en/abs/optimal-betti-numbers-of-forest-ideals-0809.0156</loc><lastmod>2008-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/optimal-betti-numbers-of-forest-ideals-0809.0156"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/optimal-betti-numbers-of-forest-ideals-0809.0156"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-maps-between-modules-0809.0194</loc><lastmod>2011-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-maps-between-modules-0809.0194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-maps-between-modules-0809.0194"/></url>
<url><loc>https://scifaro.com/en/abs/goto-numbers-of-a-numerical-semigroup-ring-and-the-gorensteiness-of-associated-graded-rings-0809.0476</loc><lastmod>2014-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/goto-numbers-of-a-numerical-semigroup-ring-and-the-gorensteiness-of-associated-graded-rings-0809.0476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/goto-numbers-of-a-numerical-semigroup-ring-and-the-gorensteiness-of-associated-graded-rings-0809.0476"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-k-z-automorphisms-in-two-variables-0809.0767</loc><lastmod>2008-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-k-z-automorphisms-in-two-variables-0809.0767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-k-z-automorphisms-in-two-variables-0809.0767"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalised-ritt-problem-as-a-computational-problem-0809.1128</loc><lastmod>2013-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalised-ritt-problem-as-a-computational-problem-0809.1128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalised-ritt-problem-as-a-computational-problem-0809.1128"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-transversal-monomial-ideals-0809.1163</loc><lastmod>2008-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-transversal-monomial-ideals-0809.1163"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-transversal-monomial-ideals-0809.1163"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-notion-of-cohen-macaulayness-for-non-noetherian-rings-0809.1228</loc><lastmod>2008-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-notion-of-cohen-macaulayness-for-non-noetherian-rings-0809.1228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-notion-of-cohen-macaulayness-for-non-noetherian-rings-0809.1228"/></url>
<url><loc>https://scifaro.com/en/abs/semistar-krull-and-valuative-dimension-of-integral-domains-0809.1305</loc><lastmod>2009-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semistar-krull-and-valuative-dimension-of-integral-domains-0809.1305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semistar-krull-and-valuative-dimension-of-integral-domains-0809.1305"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-prime-ideals-and-semistar-operations-0809.1307</loc><lastmod>2008-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-prime-ideals-and-semistar-operations-0809.1307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-prime-ideals-and-semistar-operations-0809.1307"/></url>
<url><loc>https://scifaro.com/en/abs/topological-cohen-macaulay-criteria-for-monomial-ideals-0809.1458</loc><lastmod>2008-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-cohen-macaulay-criteria-for-monomial-ideals-0809.1458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-cohen-macaulay-criteria-for-monomial-ideals-0809.1458"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-bridger-formula-and-the-gorenstein-property-for-coherent-rings-0809.1595</loc><lastmod>2009-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-bridger-formula-and-the-gorenstein-property-for-coherent-rings-0809.1595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-bridger-formula-and-the-gorenstein-property-for-coherent-rings-0809.1595"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-tight-closure-determined-by-the-test-ideal-0809.1891</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-tight-closure-determined-by-the-test-ideal-0809.1891"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-tight-closure-determined-by-the-test-ideal-0809.1891"/></url>
<url><loc>https://scifaro.com/en/abs/structure-on-the-set-of-closure-operations-of-a-commutative-ring-0809.2021</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-on-the-set-of-closure-operations-of-a-commutative-ring-0809.2021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-on-the-set-of-closure-operations-of-a-commutative-ring-0809.2021"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finite-generation-of-a-family-of-ext-modules-0809.2068</loc><lastmod>2008-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finite-generation-of-a-family-of-ext-modules-0809.2068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finite-generation-of-a-family-of-ext-modules-0809.2068"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-ranks-of-stanley-reisner-ideals-of-simplicial-complexes-with-a-cone-0809.2194</loc><lastmod>2011-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-ranks-of-stanley-reisner-ideals-of-simplicial-complexes-with-a-cone-0809.2194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-ranks-of-stanley-reisner-ideals-of-simplicial-complexes-with-a-cone-0809.2194"/></url>
<url><loc>https://scifaro.com/en/abs/on-v-domains-and-star-operations-0809.2947</loc><lastmod>2008-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-v-domains-and-star-operations-0809.2947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-v-domains-and-star-operations-0809.2947"/></url>
<url><loc>https://scifaro.com/en/abs/integrally-closed-ideals-on-log-terminal-surfaces-are-multiplier-ideals-0809.3043</loc><lastmod>2008-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrally-closed-ideals-on-log-terminal-surfaces-are-multiplier-ideals-0809.3043"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrally-closed-ideals-on-log-terminal-surfaces-are-multiplier-ideals-0809.3043"/></url>
<url><loc>https://scifaro.com/en/abs/the-gotzmann-coefficients-of-hilbert-functions-0809.3281</loc><lastmod>2008-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-gotzmann-coefficients-of-hilbert-functions-0809.3281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-gotzmann-coefficients-of-hilbert-functions-0809.3281"/></url>
<url><loc>https://scifaro.com/en/abs/the-dual-hilbert-samuel-function-of-a-maximal-cohen-macaulay-module-0809.3353</loc><lastmod>2008-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dual-hilbert-samuel-function-of-a-maximal-cohen-macaulay-module-0809.3353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dual-hilbert-samuel-function-of-a-maximal-cohen-macaulay-module-0809.3353"/></url>
<url><loc>https://scifaro.com/en/abs/the-colorful-helly-theorem-and-colorful-resolutions-of-ideals-0809.3366</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-colorful-helly-theorem-and-colorful-resolutions-of-ideals-0809.3366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-colorful-helly-theorem-and-colorful-resolutions-of-ideals-0809.3366"/></url>
<url><loc>https://scifaro.com/en/abs/growth-of-rank-1-valuation-semigroups-0809.3507</loc><lastmod>2008-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/growth-of-rank-1-valuation-semigroups-0809.3507"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/growth-of-rank-1-valuation-semigroups-0809.3507"/></url>
<url><loc>https://scifaro.com/en/abs/artinianness-of-local-cohomology-modules-0809.3814</loc><lastmod>2008-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinianness-of-local-cohomology-modules-0809.3814"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinianness-of-local-cohomology-modules-0809.3814"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-koszul-homology-modules-0809.3853</loc><lastmod>2008-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-koszul-homology-modules-0809.3853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-koszul-homology-modules-0809.3853"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-composition-of-quadratic-forms-based-on-quadratic-pairs-0809.4123</loc><lastmod>2008-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-composition-of-quadratic-forms-based-on-quadratic-pairs-0809.4123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-composition-of-quadratic-forms-based-on-quadratic-pairs-0809.4123"/></url>
<url><loc>https://scifaro.com/en/abs/duality-for-a-cohen-macaulay-local-ring-0809.4141</loc><lastmod>2008-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-for-a-cohen-macaulay-local-ring-0809.4141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-for-a-cohen-macaulay-local-ring-0809.4141"/></url>
<url><loc>https://scifaro.com/en/abs/on-strong-n-perfect-rings-0809.4169</loc><lastmod>2008-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strong-n-perfect-rings-0809.4169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strong-n-perfect-rings-0809.4169"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-ladders-and-g-biliaison-0809.4337</loc><lastmod>2010-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-ladders-and-g-biliaison-0809.4337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-ladders-and-g-biliaison-0809.4337"/></url>
<url><loc>https://scifaro.com/en/abs/compositions-of-consistent-systems-of-rank-one-discrete-valuation-rings-0809.4525</loc><lastmod>2008-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compositions-of-consistent-systems-of-rank-one-discrete-valuation-rings-0809.4525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compositions-of-consistent-systems-of-rank-one-discrete-valuation-rings-0809.4525"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-smoothness-and-differential-bases-in-positive-characteristic-0809.4559</loc><lastmod>2009-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-smoothness-and-differential-bases-in-positive-characteristic-0809.4559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-smoothness-and-differential-bases-in-positive-characteristic-0809.4559"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-and-singularity-theory-for-local-rings-of-finite-embedding-dimension-0809.5267</loc><lastmod>2014-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-and-singularity-theory-for-local-rings-of-finite-embedding-dimension-0809.5267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-and-singularity-theory-for-local-rings-of-finite-embedding-dimension-0809.5267"/></url>
<url><loc>https://scifaro.com/en/abs/the-root-closure-of-a-ring-of-mixed-characteristic-0810.0215</loc><lastmod>2008-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-root-closure-of-a-ring-of-mixed-characteristic-0810.0215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-root-closure-of-a-ring-of-mixed-characteristic-0810.0215"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-in-which-every-finitely-generated-ideal-is-quasi-projective-0810.0359</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-in-which-every-finitely-generated-ideal-is-quasi-projective-0810.0359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-in-which-every-finitely-generated-ideal-is-quasi-projective-0810.0359"/></url>
<url><loc>https://scifaro.com/en/abs/on-linear-resolution-of-powers-of-an-ideal-0810.1017</loc><lastmod>2010-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-linear-resolution-of-powers-of-an-ideal-0810.1017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-linear-resolution-of-powers-of-an-ideal-0810.1017"/></url>
<url><loc>https://scifaro.com/en/abs/power-series-over-generalized-krull-domains-0810.1028</loc><lastmod>2008-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/power-series-over-generalized-krull-domains-0810.1028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/power-series-over-generalized-krull-domains-0810.1028"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-semigroup-algebras-of-weighted-trees-0810.1353</loc><lastmod>2016-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-semigroup-algebras-of-weighted-trees-0810.1353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-semigroup-algebras-of-weighted-trees-0810.1353"/></url>
<url><loc>https://scifaro.com/en/abs/toward-a-classification-of-prime-ideals-in-pr-ufer-domains-0810.2402</loc><lastmod>2008-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toward-a-classification-of-prime-ideals-in-pr-ufer-domains-0810.2402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toward-a-classification-of-prime-ideals-in-pr-ufer-domains-0810.2402"/></url>
<url><loc>https://scifaro.com/en/abs/on-izumi-s-theorem-on-comparison-of-valuations-0810.2479</loc><lastmod>2010-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-izumi-s-theorem-on-comparison-of-valuations-0810.2479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-izumi-s-theorem-on-comparison-of-valuations-0810.2479"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-quasi-gorenstein-rings-0810.2773</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-quasi-gorenstein-rings-0810.2773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-quasi-gorenstein-rings-0810.2773"/></url>
<url><loc>https://scifaro.com/en/abs/maps-on-divisor-class-groups-induced-by-ring-homomorphisms-of-finite-flat-dimension-0810.2810</loc><lastmod>2009-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maps-on-divisor-class-groups-induced-by-ring-homomorphisms-of-finite-flat-dimension-0810.2810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maps-on-divisor-class-groups-induced-by-ring-homomorphisms-of-finite-flat-dimension-0810.2810"/></url>
<url><loc>https://scifaro.com/en/abs/the-cl-core-of-an-ideal-0810.3033</loc><lastmod>2010-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cl-core-of-an-ideal-0810.3033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cl-core-of-an-ideal-0810.3033"/></url>
<url><loc>https://scifaro.com/en/abs/on-vanishing-and-cofiniteness-of-generalized-local-cohomology-modules-0810.3102</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-vanishing-and-cofiniteness-of-generalized-local-cohomology-modules-0810.3102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-vanishing-and-cofiniteness-of-generalized-local-cohomology-modules-0810.3102"/></url>
<url><loc>https://scifaro.com/en/abs/rings-without-a-gorenstein-analogue-of-the-govorov-lazard-theorem-0810.3168</loc><lastmod>2008-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-without-a-gorenstein-analogue-of-the-govorov-lazard-theorem-0810.3168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-without-a-gorenstein-analogue-of-the-govorov-lazard-theorem-0810.3168"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-and-coassociated-primes-of-local-cohomology-modules-0810.3969</loc><lastmod>2008-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-and-coassociated-primes-of-local-cohomology-modules-0810.3969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-and-coassociated-primes-of-local-cohomology-modules-0810.3969"/></url>
<url><loc>https://scifaro.com/en/abs/fibonacci-modules-and-multiple-fibonacci-sequences-0810.4028</loc><lastmod>2008-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fibonacci-modules-and-multiple-fibonacci-sequences-0810.4028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fibonacci-modules-and-multiple-fibonacci-sequences-0810.4028"/></url>
<url><loc>https://scifaro.com/en/abs/supporting-degrees-of-multi-graded-local-cohomolgoy-modules-0810.4487</loc><lastmod>2008-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supporting-degrees-of-multi-graded-local-cohomolgoy-modules-0810.4487"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supporting-degrees-of-multi-graded-local-cohomolgoy-modules-0810.4487"/></url>
<url><loc>https://scifaro.com/en/abs/generic-bounds-for-frobenius-closure-and-tight-closure-0810.4518</loc><lastmod>2009-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-bounds-for-frobenius-closure-and-tight-closure-0810.4518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-bounds-for-frobenius-closure-and-tight-closure-0810.4518"/></url>
<url><loc>https://scifaro.com/en/abs/computing-gorenstein-colength-0810.4542</loc><lastmod>2008-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-gorenstein-colength-0810.4542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-gorenstein-colength-0810.4542"/></url>
<url><loc>https://scifaro.com/en/abs/computing-inclusions-of-schur-modules-0810.4666</loc><lastmod>2015-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-inclusions-of-schur-modules-0810.4666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-inclusions-of-schur-modules-0810.4666"/></url>
<url><loc>https://scifaro.com/en/abs/on-connectedness-and-indecomposibility-of-local-cohomology-modules-0810.4774</loc><lastmod>2008-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-connectedness-and-indecomposibility-of-local-cohomology-modules-0810.4774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-connectedness-and-indecomposibility-of-local-cohomology-modules-0810.4774"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-and-minimal-free-resolution-of-monomial-algebras-0810.4836</loc><lastmod>2010-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-and-minimal-free-resolution-of-monomial-algebras-0810.4836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-and-minimal-free-resolution-of-monomial-algebras-0810.4836"/></url>
<url><loc>https://scifaro.com/en/abs/constructive-proof-of-extended-kapranov-theorem-0810.4907</loc><lastmod>2008-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructive-proof-of-extended-kapranov-theorem-0810.4907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructive-proof-of-extended-kapranov-theorem-0810.4907"/></url>
<url><loc>https://scifaro.com/en/abs/the-algorithmic-behaviour-of-the-f5-algorithm-0810.5335</loc><lastmod>2010-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-algorithmic-behaviour-of-the-f5-algorithm-0810.5335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-algorithmic-behaviour-of-the-f5-algorithm-0810.5335"/></url>
<url><loc>https://scifaro.com/en/abs/well-papa-can-you-multiply-triplets-0810.5562</loc><lastmod>2008-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/well-papa-can-you-multiply-triplets-0810.5562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/well-papa-can-you-multiply-triplets-0810.5562"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dimension-of-the-minimal-vertex-covers-semigroup-ring-of-an-unmixed-bipartite-graph-0811.0747</loc><lastmod>2009-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dimension-of-the-minimal-vertex-covers-semigroup-ring-of-an-unmixed-bipartite-graph-0811.0747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dimension-of-the-minimal-vertex-covers-semigroup-ring-of-an-unmixed-bipartite-graph-0811.0747"/></url>
<url><loc>https://scifaro.com/en/abs/n-1-st-koszul-homology-and-the-structure-of-monomial-ideals-0811.1013</loc><lastmod>2008-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-1-st-koszul-homology-and-the-structure-of-monomial-ideals-0811.1013"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-1-st-koszul-homology-and-the-structure-of-monomial-ideals-0811.1013"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-almost-complete-intersections-and-the-weak-lefschetz-property-0811.1023</loc><lastmod>2009-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-almost-complete-intersections-and-the-weak-lefschetz-property-0811.1023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-almost-complete-intersections-and-the-weak-lefschetz-property-0811.1023"/></url>
<url><loc>https://scifaro.com/en/abs/divisors-on-rational-normal-scrolls-0811.1069</loc><lastmod>2008-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisors-on-rational-normal-scrolls-0811.1069"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisors-on-rational-normal-scrolls-0811.1069"/></url>
<url><loc>https://scifaro.com/en/abs/first-nonlinear-syzygies-of-ideals-associated-to-graphs-0811.1865</loc><lastmod>2008-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/first-nonlinear-syzygies-of-ideals-associated-to-graphs-0811.1865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/first-nonlinear-syzygies-of-ideals-associated-to-graphs-0811.1865"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-gorenstein-flat-dimension-0811.2650</loc><lastmod>2008-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-gorenstein-flat-dimension-0811.2650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-gorenstein-flat-dimension-0811.2650"/></url>
<url><loc>https://scifaro.com/en/abs/p-ferrer-diagram-p-linear-ideals-and-arithmetical-rank-0811.3366</loc><lastmod>2009-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/p-ferrer-diagram-p-linear-ideals-and-arithmetical-rank-0811.3366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/p-ferrer-diagram-p-linear-ideals-and-arithmetical-rank-0811.3366"/></url>
<url><loc>https://scifaro.com/en/abs/computing-irreducible-decomposition-of-monomial-ideals-0811.3425</loc><lastmod>2008-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-irreducible-decomposition-of-monomial-ideals-0811.3425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-irreducible-decomposition-of-monomial-ideals-0811.3425"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-for-the-k-factor-model-and-chirality-varieties-0811.3503</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-for-the-k-factor-model-and-chirality-varieties-0811.3503"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-for-the-k-factor-model-and-chirality-varieties-0811.3503"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-strong-castelnuovo-lemma-0811.3655</loc><lastmod>2008-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-strong-castelnuovo-lemma-0811.3655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-strong-castelnuovo-lemma-0811.3655"/></url>
<url><loc>https://scifaro.com/en/abs/specializations-of-multigradings-and-the-arithmetical-rank-of-lattice-ideals-0811.3830</loc><lastmod>2009-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/specializations-of-multigradings-and-the-arithmetical-rank-of-lattice-ideals-0811.3830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/specializations-of-multigradings-and-the-arithmetical-rank-of-lattice-ideals-0811.3830"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-generation-of-the-radical-of-a-lattice-ideal-0811.3833</loc><lastmod>2010-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-generation-of-the-radical-of-a-lattice-ideal-0811.3833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-generation-of-the-radical-of-a-lattice-ideal-0811.3833"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-classification-of-symmetric-2-cocycles-0811.4159</loc><lastmod>2008-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-classification-of-symmetric-2-cocycles-0811.4159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-classification-of-symmetric-2-cocycles-0811.4159"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-embeddings-into-modules-of-finite-homological-dimensions-0811.4461</loc><lastmod>2010-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-embeddings-into-modules-of-finite-homological-dimensions-0811.4461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-embeddings-into-modules-of-finite-homological-dimensions-0811.4461"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-subword-complexes-in-coxeter-groups-0811.4552</loc><lastmod>2008-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-subword-complexes-in-coxeter-groups-0811.4552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-subword-complexes-in-coxeter-groups-0811.4552"/></url>
<url><loc>https://scifaro.com/en/abs/on-n-d-perfect-rings-0811.4627</loc><lastmod>2008-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-n-d-perfect-rings-0811.4627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-n-d-perfect-rings-0811.4627"/></url>
<url><loc>https://scifaro.com/en/abs/gotzmann-lexsegment-ideals-0811.4666</loc><lastmod>2008-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gotzmann-lexsegment-ideals-0811.4666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gotzmann-lexsegment-ideals-0811.4666"/></url>
<url><loc>https://scifaro.com/en/abs/bouvier-s-conjecture-0811.4691</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bouvier-s-conjecture-0811.4691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bouvier-s-conjecture-0811.4691"/></url>
<url><loc>https://scifaro.com/en/abs/t-class-semigroups-of-noetherian-domains-0811.4693</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/t-class-semigroups-of-noetherian-domains-0811.4693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/t-class-semigroups-of-noetherian-domains-0811.4693"/></url>
<url><loc>https://scifaro.com/en/abs/counting-decomposable-multivariate-polynomials-0811.4726</loc><lastmod>2009-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-decomposable-multivariate-polynomials-0811.4726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-decomposable-multivariate-polynomials-0811.4726"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-generated-by-circuits-0812.0195</loc><lastmod>2012-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-generated-by-circuits-0812.0195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-generated-by-circuits-0812.0195"/></url>
<url><loc>https://scifaro.com/en/abs/universally-catenarian-integral-domains-strong-s-domains-and-semistar-operations-0812.0444</loc><lastmod>2008-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universally-catenarian-integral-domains-strong-s-domains-and-semistar-operations-0812.0444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universally-catenarian-integral-domains-strong-s-domains-and-semistar-operations-0812.0444"/></url>
<url><loc>https://scifaro.com/en/abs/a-minimal-poset-resolution-of-stable-ideals-0812.0594</loc><lastmod>2010-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-minimal-poset-resolution-of-stable-ideals-0812.0594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-minimal-poset-resolution-of-stable-ideals-0812.0594"/></url>
<url><loc>https://scifaro.com/en/abs/bass-numbers-and-semidualizing-complexes-0812.0643</loc><lastmod>2009-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-numbers-and-semidualizing-complexes-0812.0643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-numbers-and-semidualizing-complexes-0812.0643"/></url>
<url><loc>https://scifaro.com/en/abs/duality-a-invariants-and-canonical-modules-of-rings-arising-from-linear-optimization-problems-0812.0823</loc><lastmod>2008-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-a-invariants-and-canonical-modules-of-rings-arising-from-linear-optimization-problems-0812.0823"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-a-invariants-and-canonical-modules-of-rings-arising-from-linear-optimization-problems-0812.0823"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-and-artinian-property-of-graded-local-cohomology-modules-0812.0957</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-and-artinian-property-of-graded-local-cohomology-modules-0812.0957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-and-artinian-property-of-graded-local-cohomology-modules-0812.0957"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-and-non-artinian-local-cohomology-modules-0812.1289</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-and-non-artinian-local-cohomology-modules-0812.1289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-and-non-artinian-local-cohomology-modules-0812.1289"/></url>
<url><loc>https://scifaro.com/en/abs/on-strongly-gorenstein-semi-hereditary-rings-0812.1304</loc><lastmod>2009-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strongly-gorenstein-semi-hereditary-rings-0812.1304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strongly-gorenstein-semi-hereditary-rings-0812.1304"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-multigraded-modules-0812.2080</loc><lastmod>2009-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-multigraded-modules-0812.2080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-multigraded-modules-0812.2080"/></url>
<url><loc>https://scifaro.com/en/abs/first-second-and-third-change-of-rings-theorems-for-the-gorenstein-homological-dimensions-0812.2228</loc><lastmod>2009-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/first-second-and-third-change-of-rings-theorems-for-the-gorenstein-homological-dimensions-0812.2228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/first-second-and-third-change-of-rings-theorems-for-the-gorenstein-homological-dimensions-0812.2228"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-properties-of-hypergraphs-0812.2366</loc><lastmod>2015-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-properties-of-hypergraphs-0812.2366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-properties-of-hypergraphs-0812.2366"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-strongly-gorenstein-projective-modules-0812.2566</loc><lastmod>2008-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-strongly-gorenstein-projective-modules-0812.2566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-strongly-gorenstein-projective-modules-0812.2566"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-toric-ideals-associated-to-graphs-0812.3097</loc><lastmod>2009-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-toric-ideals-associated-to-graphs-0812.3097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-toric-ideals-associated-to-graphs-0812.3097"/></url>
<url><loc>https://scifaro.com/en/abs/the-projectively-resolving-of-some-classes-over-a-direct-product-of-rings-0812.3431</loc><lastmod>2009-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-projectively-resolving-of-some-classes-over-a-direct-product-of-rings-0812.3431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-projectively-resolving-of-some-classes-over-a-direct-product-of-rings-0812.3431"/></url>
<url><loc>https://scifaro.com/en/abs/linear-independence-over-tropical-semirings-and-beyond-0812.3496</loc><lastmod>2009-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-independence-over-tropical-semirings-and-beyond-0812.3496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-independence-over-tropical-semirings-and-beyond-0812.3496"/></url>
<url><loc>https://scifaro.com/en/abs/beyond-totally-reflexive-modules-and-back-0812.3807</loc><lastmod>2010-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/beyond-totally-reflexive-modules-and-back-0812.3807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/beyond-totally-reflexive-modules-and-back-0812.3807"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-dimensions-in-trivial-ring-extensions-0812.4393</loc><lastmod>2008-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-dimensions-in-trivial-ring-extensions-0812.4393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-dimensions-in-trivial-ring-extensions-0812.4393"/></url>
<url><loc>https://scifaro.com/en/abs/growth-in-the-minimal-injective-resolution-of-a-local-ring-0812.4672</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/growth-in-the-minimal-injective-resolution-of-a-local-ring-0812.4672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/growth-in-the-minimal-injective-resolution-of-a-local-ring-0812.4672"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-total-order-of-reducibility-of-a-pencil-of-algebraic-plane-curves-0812.4706</loc><lastmod>2011-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-total-order-of-reducibility-of-a-pencil-of-algebraic-plane-curves-0812.4706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-total-order-of-reducibility-of-a-pencil-of-algebraic-plane-curves-0812.4706"/></url>
<url><loc>https://scifaro.com/en/abs/rational-normal-scrolls-and-the-defining-equations-of-rees-algebras-0812.4963</loc><lastmod>2008-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-normal-scrolls-and-the-defining-equations-of-rees-algebras-0812.4963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-normal-scrolls-and-the-defining-equations-of-rees-algebras-0812.4963"/></url>
<url><loc>https://scifaro.com/en/abs/socle-degrees-resolutions-and-frobenius-powers-0812.4966</loc><lastmod>2008-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/socle-degrees-resolutions-and-frobenius-powers-0812.4966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/socle-degrees-resolutions-and-frobenius-powers-0812.4966"/></url>
<url><loc>https://scifaro.com/en/abs/counting-decomposable-univariate-polynomials-0901.0054</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-decomposable-univariate-polynomials-0901.0054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-decomposable-univariate-polynomials-0901.0054"/></url>
<url><loc>https://scifaro.com/en/abs/the-orlik-terao-algebra-and-2-formality-0901.0253</loc><lastmod>2015-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-orlik-terao-algebra-and-2-formality-0901.0253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-orlik-terao-algebra-and-2-formality-0901.0253"/></url>
<url><loc>https://scifaro.com/en/abs/divisor-class-groups-of-graded-hypersurfaces-0901.0686</loc><lastmod>2009-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisor-class-groups-of-graded-hypersurfaces-0901.0686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisor-class-groups-of-graded-hypersurfaces-0901.0686"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-rings-diagonal-subalgebras-and-rational-singularities-0901.0687</loc><lastmod>2009-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-rings-diagonal-subalgebras-and-rational-singularities-0901.0687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-rings-diagonal-subalgebras-and-rational-singularities-0901.0687"/></url>
<url><loc>https://scifaro.com/en/abs/bockstein-homomorphisms-in-local-cohomology-0901.0688</loc><lastmod>2009-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bockstein-homomorphisms-in-local-cohomology-0901.0688"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bockstein-homomorphisms-in-local-cohomology-0901.0688"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-deficiency-modules-0901.0690</loc><lastmod>2009-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-deficiency-modules-0901.0690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-deficiency-modules-0901.0690"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-integral-closure-0901.0871</loc><lastmod>2009-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-integral-closure-0901.0871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-integral-closure-0901.0871"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-results-of-mixed-multiplicities-0901.0966</loc><lastmod>2009-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-results-of-mixed-multiplicities-0901.0966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-results-of-mixed-multiplicities-0901.0966"/></url>
<url><loc>https://scifaro.com/en/abs/doset-hibi-rings-with-an-application-to-invariant-theory-0901.1052</loc><lastmod>2017-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/doset-hibi-rings-with-an-application-to-invariant-theory-0901.1052"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/doset-hibi-rings-with-an-application-to-invariant-theory-0901.1052"/></url>
<url><loc>https://scifaro.com/en/abs/computing-inhomogeneous-groebner-bases-0901.1105</loc><lastmod>2009-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-inhomogeneous-groebner-bases-0901.1105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-inhomogeneous-groebner-bases-0901.1105"/></url>
<url><loc>https://scifaro.com/en/abs/modules-in-resolving-subcategories-which-are-free-on-the-punctured-spectrum-0901.1174</loc><lastmod>2009-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-in-resolving-subcategories-which-are-free-on-the-punctured-spectrum-0901.1174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-in-resolving-subcategories-which-are-free-on-the-punctured-spectrum-0901.1174"/></url>
<url><loc>https://scifaro.com/en/abs/on-simple-a-multigraded-minimal-resolutions-0901.1196</loc><lastmod>2009-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-simple-a-multigraded-minimal-resolutions-0901.1196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-simple-a-multigraded-minimal-resolutions-0901.1196"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalized-scarf-complex-of-lattice-ideals-0901.1208</loc><lastmod>2009-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalized-scarf-complex-of-lattice-ideals-0901.1208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalized-scarf-complex-of-lattice-ideals-0901.1208"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-of-some-hypergraph-algebras-0901.1534</loc><lastmod>2015-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-of-some-hypergraph-algebras-0901.1534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-of-some-hypergraph-algebras-0901.1534"/></url>
<url><loc>https://scifaro.com/en/abs/fonction-asymptotique-de-samuel-des-sections-hyperplanes-et-multiplicit-e-0901.1653</loc><lastmod>2009-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fonction-asymptotique-de-samuel-des-sections-hyperplanes-et-multiplicit-e-0901.1653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fonction-asymptotique-de-samuel-des-sections-hyperplanes-et-multiplicit-e-0901.1653"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-the-square-of-the-alexander-dual-of-hypergraphs-0901.1678</loc><lastmod>2009-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-the-square-of-the-alexander-dual-of-hypergraphs-0901.1678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-the-square-of-the-alexander-dual-of-hypergraphs-0901.1678"/></url>
<url><loc>https://scifaro.com/en/abs/amalgamated-algebras-along-an-ideal-0901.1742</loc><lastmod>2009-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/amalgamated-algebras-along-an-ideal-0901.1742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/amalgamated-algebras-along-an-ideal-0901.1742"/></url>
<url><loc>https://scifaro.com/en/abs/an-application-of-groebner-bases-to-planarity-of-intersection-of-surfaces-0901.1862</loc><lastmod>2009-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-application-of-groebner-bases-to-planarity-of-intersection-of-surfaces-0901.1862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-application-of-groebner-bases-to-planarity-of-intersection-of-surfaces-0901.1862"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-linearity-of-artin-functions-0901.2392</loc><lastmod>2009-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-linearity-of-artin-functions-0901.2392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-linearity-of-artin-functions-0901.2392"/></url>
<url><loc>https://scifaro.com/en/abs/growth-of-primary-decompositions-of-frobenius-powers-of-ideals-0901.2394</loc><lastmod>2009-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/growth-of-primary-decompositions-of-frobenius-powers-of-ideals-0901.2394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/growth-of-primary-decompositions-of-frobenius-powers-of-ideals-0901.2394"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-auslander-criterion-for-flatness-0901.2744</loc><lastmod>2017-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-auslander-criterion-for-flatness-0901.2744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-auslander-criterion-for-flatness-0901.2744"/></url>
<url><loc>https://scifaro.com/en/abs/vector-invariants-for-the-two-dimensional-modular-representation-of-a-cyclic-group-of-prime-order-0901.2811</loc><lastmod>2009-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-invariants-for-the-two-dimensional-modular-representation-of-a-cyclic-group-of-prime-order-0901.2811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-invariants-for-the-two-dimensional-modular-representation-of-a-cyclic-group-of-prime-order-0901.2811"/></url>
<url><loc>https://scifaro.com/en/abs/resolution-of-unmixed-bipartite-graphs-0901.3015</loc><lastmod>2009-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolution-of-unmixed-bipartite-graphs-0901.3015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolution-of-unmixed-bipartite-graphs-0901.3015"/></url>
<url><loc>https://scifaro.com/en/abs/forcing-algebras-syzygy-bundles-and-tight-closure-0901.3051</loc><lastmod>2009-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/forcing-algebras-syzygy-bundles-and-tight-closure-0901.3051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/forcing-algebras-syzygy-bundles-and-tight-closure-0901.3051"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-ideals-with-linear-quotients-0901.3088</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-ideals-with-linear-quotients-0901.3088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-ideals-with-linear-quotients-0901.3088"/></url>
<url><loc>https://scifaro.com/en/abs/a-matrix-representation-of-composition-of-polynomial-maps-0901.3179</loc><lastmod>2009-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-matrix-representation-of-composition-of-polynomial-maps-0901.3179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-matrix-representation-of-composition-of-polynomial-maps-0901.3179"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-varieties-for-hilbert-schemes-0901.3263</loc><lastmod>2009-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-varieties-for-hilbert-schemes-0901.3263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-varieties-for-hilbert-schemes-0901.3263"/></url>
<url><loc>https://scifaro.com/en/abs/filter-regular-sequences-and-mixed-multiplicities-0901.3825</loc><lastmod>2009-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filter-regular-sequences-and-mixed-multiplicities-0901.3825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filter-regular-sequences-and-mixed-multiplicities-0901.3825"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-depth-and-zero-divisors-of-the-algebra-of-basic-k-covers-of-a-graph-0901.3895</loc><lastmod>2011-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-depth-and-zero-divisors-of-the-algebra-of-basic-k-covers-of-a-graph-0901.3895"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-depth-and-zero-divisors-of-the-algebra-of-basic-k-covers-of-a-graph-0901.3895"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-graphs-that-are-domains-0901.3897</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-graphs-that-are-domains-0901.3897"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-graphs-that-are-domains-0901.3897"/></url>
<url><loc>https://scifaro.com/en/abs/locally-complete-intersection-stanley-reisner-ideals-0901.3899</loc><lastmod>2009-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-complete-intersection-stanley-reisner-ideals-0901.3899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-complete-intersection-stanley-reisner-ideals-0901.3899"/></url>
<url><loc>https://scifaro.com/en/abs/flat-modules-and-gr-obner-bases-over-truncated-discrete-valuation-rings-0901.4819</loc><lastmod>2009-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-modules-and-gr-obner-bases-over-truncated-discrete-valuation-rings-0901.4819"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-modules-and-gr-obner-bases-over-truncated-discrete-valuation-rings-0901.4819"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-fiber-cones-of-good-filtrations-0902.0283</loc><lastmod>2009-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-fiber-cones-of-good-filtrations-0902.0283"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-fiber-cones-of-good-filtrations-0902.0283"/></url>
<url><loc>https://scifaro.com/en/abs/a-special-case-of-the-buchsbaum-eisenbud-horrocks-rank-conjecture-0902.0316</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-special-case-of-the-buchsbaum-eisenbud-horrocks-rank-conjecture-0902.0316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-special-case-of-the-buchsbaum-eisenbud-horrocks-rank-conjecture-0902.0316"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-depth-and-arithmetic-rank-of-bipartite-edge-ideals-0902.0437</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-depth-and-arithmetic-rank-of-bipartite-edge-ideals-0902.0437"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-depth-and-arithmetic-rank-of-bipartite-edge-ideals-0902.0437"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-the-path-ideal-of-a-tree-0902.0902</loc><lastmod>2009-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-the-path-ideal-of-a-tree-0902.0902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-the-path-ideal-of-a-tree-0902.0902"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-s-failure-to-localize-a-self-contained-exposition-0902.1120</loc><lastmod>2009-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-s-failure-to-localize-a-self-contained-exposition-0902.1120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-s-failure-to-localize-a-self-contained-exposition-0902.1120"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-von-neumann-regular-rings-0902.1236</loc><lastmod>2010-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-von-neumann-regular-rings-0902.1236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-von-neumann-regular-rings-0902.1236"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-of-multi-graded-algebras-over-noetherian-local-rings-0902.1240</loc><lastmod>2009-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-of-multi-graded-algebras-over-noetherian-local-rings-0902.1240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-of-multi-graded-algebras-over-noetherian-local-rings-0902.1240"/></url>
<url><loc>https://scifaro.com/en/abs/ehrhart-clutters-regularity-and-max-flow-min-cut-0902.1354</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ehrhart-clutters-regularity-and-max-flow-min-cut-0902.1354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ehrhart-clutters-regularity-and-max-flow-min-cut-0902.1354"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-thom-boardman-symbols-for-polynomial-multiplication-maps-0902.1518</loc><lastmod>2009-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-thom-boardman-symbols-for-polynomial-multiplication-maps-0902.1518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-thom-boardman-symbols-for-polynomial-multiplication-maps-0902.1518"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-polynomials-and-resultants-0902.2155</loc><lastmod>2009-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-polynomials-and-resultants-0902.2155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-polynomials-and-resultants-0902.2155"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-matrix-algebra-ii-solving-tropical-equations-0902.2159</loc><lastmod>2009-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-ii-solving-tropical-equations-0902.2159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-ii-solving-tropical-equations-0902.2159"/></url>
<url><loc>https://scifaro.com/en/abs/rings-over-which-all-finitely-generated-strongly-gorenstein-projective-modules-are-projective-0902.2237</loc><lastmod>2010-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-over-which-all-finitely-generated-strongly-gorenstein-projective-modules-are-projective-0902.2237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-over-which-all-finitely-generated-strongly-gorenstein-projective-modules-are-projective-0902.2237"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-homology-and-syzygies-of-veronese-subalgebras-0902.2431</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-homology-and-syzygies-of-veronese-subalgebras-0902.2431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-homology-and-syzygies-of-veronese-subalgebras-0902.2431"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimension-of-tensor-products-of-pullbacks-0902.2467</loc><lastmod>2009-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimension-of-tensor-products-of-pullbacks-0902.2467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimension-of-tensor-products-of-pullbacks-0902.2467"/></url>
<url><loc>https://scifaro.com/en/abs/necessary-and-sufficient-condition-for-a-set-of-matrices-to-commute-0902.2983</loc><lastmod>2009-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/necessary-and-sufficient-condition-for-a-set-of-matrices-to-commute-0902.2983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/necessary-and-sufficient-condition-for-a-set-of-matrices-to-commute-0902.2983"/></url>
<url><loc>https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-0902.3030</loc><lastmod>2010-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-0902.3030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-0902.3030"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-a-theorem-of-foxby-0902.3037</loc><lastmod>2009-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-a-theorem-of-foxby-0902.3037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-a-theorem-of-foxby-0902.3037"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-maps-on-injective-hulls-and-their-applications-to-tight-closure-0902.3110</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-maps-on-injective-hulls-and-their-applications-to-tight-closure-0902.3110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-maps-on-injective-hulls-and-their-applications-to-tight-closure-0902.3110"/></url>
<url><loc>https://scifaro.com/en/abs/fitting-ideals-and-the-gorenstein-property-0902.3204</loc><lastmod>2009-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fitting-ideals-and-the-gorenstein-property-0902.3204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fitting-ideals-and-the-gorenstein-property-0902.3204"/></url>
<url><loc>https://scifaro.com/en/abs/on-v-domains-a-survey-0902.3592</loc><lastmod>2009-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-v-domains-a-survey-0902.3592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-v-domains-a-survey-0902.3592"/></url>
<url><loc>https://scifaro.com/en/abs/on-complexes-of-finite-complete-intersection-dimension-0902.3828</loc><lastmod>2009-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-complexes-of-finite-complete-intersection-dimension-0902.3828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-complexes-of-finite-complete-intersection-dimension-0902.3828"/></url>
<url><loc>https://scifaro.com/en/abs/the-complement-of-a-connected-bipartite-graph-is-vertex-decomposable-0902.4342</loc><lastmod>2009-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-complement-of-a-connected-bipartite-graph-is-vertex-decomposable-0902.4342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-complement-of-a-connected-bipartite-graph-is-vertex-decomposable-0902.4342"/></url>
<url><loc>https://scifaro.com/en/abs/on-flatness-and-completion-for-infinitely-generated-modules-over-noetherian-rings-0902.4378</loc><lastmod>2010-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-flatness-and-completion-for-infinitely-generated-modules-over-noetherian-rings-0902.4378"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-flatness-and-completion-for-infinitely-generated-modules-over-noetherian-rings-0902.4378"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-prime-ideal-structure-of-symbolic-rees-algebras-0903.0052</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-prime-ideal-structure-of-symbolic-rees-algebras-0903.0052"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-prime-ideal-structure-of-symbolic-rees-algebras-0903.0052"/></url>
<url><loc>https://scifaro.com/en/abs/hasse-schmidt-derivations-divided-powers-and-differential-smoothness-0903.0246</loc><lastmod>2018-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hasse-schmidt-derivations-divided-powers-and-differential-smoothness-0903.0246"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hasse-schmidt-derivations-divided-powers-and-differential-smoothness-0903.0246"/></url>
<url><loc>https://scifaro.com/en/abs/the-standard-graded-property-for-vertex-cover-algebras-of-quasi-trees-0903.0545</loc><lastmod>2009-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-standard-graded-property-for-vertex-cover-algebras-of-quasi-trees-0903.0545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-standard-graded-property-for-vertex-cover-algebras-of-quasi-trees-0903.0545"/></url>
<url><loc>https://scifaro.com/en/abs/length-complexity-of-tensor-products-0903.0647</loc><lastmod>2009-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/length-complexity-of-tensor-products-0903.0647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/length-complexity-of-tensor-products-0903.0647"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-an-invariant-non-degenerate-bilinear-form-under-a-linear-map-0903.0826</loc><lastmod>2013-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-an-invariant-non-degenerate-bilinear-form-under-a-linear-map-0903.0826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-an-invariant-non-degenerate-bilinear-form-under-a-linear-map-0903.0826"/></url>
<url><loc>https://scifaro.com/en/abs/indispensable-binomials-in-semigroup-ideals-0903.1030</loc><lastmod>2010-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indispensable-binomials-in-semigroup-ideals-0903.1030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indispensable-binomials-in-semigroup-ideals-0903.1030"/></url>
<url><loc>https://scifaro.com/en/abs/tilting-modules-over-almost-perfect-domains-0903.1099</loc><lastmod>2009-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tilting-modules-over-almost-perfect-domains-0903.1099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tilting-modules-over-almost-perfect-domains-0903.1099"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-the-vanishing-conjecture-of-differential-operators-with-constant-coefficients-0903.1478</loc><lastmod>2022-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-the-vanishing-conjecture-of-differential-operators-with-constant-coefficients-0903.1478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-the-vanishing-conjecture-of-differential-operators-with-constant-coefficients-0903.1478"/></url>
<url><loc>https://scifaro.com/en/abs/evolution-algebras-generated-by-gibbs-measures-0903.1770</loc><lastmod>2009-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/evolution-algebras-generated-by-gibbs-measures-0903.1770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/evolution-algebras-generated-by-gibbs-measures-0903.1770"/></url>
<url><loc>https://scifaro.com/en/abs/extension-functors-of-local-cohomology-modules-0903.2093</loc><lastmod>2009-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-functors-of-local-cohomology-modules-0903.2093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-functors-of-local-cohomology-modules-0903.2093"/></url>
<url><loc>https://scifaro.com/en/abs/hardy-type-derivations-on-generalized-series-fields-0903.2197</loc><lastmod>2012-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hardy-type-derivations-on-generalized-series-fields-0903.2197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hardy-type-derivations-on-generalized-series-fields-0903.2197"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-artinianness-and-finiteness-of-local-cohomology-modules-0903.2235</loc><lastmod>2009-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-artinianness-and-finiteness-of-local-cohomology-modules-0903.2235"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-artinianness-and-finiteness-of-local-cohomology-modules-0903.2235"/></url>
<url><loc>https://scifaro.com/en/abs/some-homological-properties-of-an-amalgamated-duplication-of-a-ring-along-an-ideal-0903.2240</loc><lastmod>2009-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-homological-properties-of-an-amalgamated-duplication-of-a-ring-along-an-ideal-0903.2240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-homological-properties-of-an-amalgamated-duplication-of-a-ring-along-an-ideal-0903.2240"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-algebras-and-gr-obner-bases-of-quadrics-0903.2397</loc><lastmod>2009-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-algebras-and-gr-obner-bases-of-quadrics-0903.2397"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-algebras-and-gr-obner-bases-of-quadrics-0903.2397"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-with-finite-quotient-fields-0903.2566</loc><lastmod>2009-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-with-finite-quotient-fields-0903.2566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-with-finite-quotient-fields-0903.2566"/></url>
<url><loc>https://scifaro.com/en/abs/boolean-metric-spaces-and-boolean-algebraic-varieties-0903.2567</loc><lastmod>2009-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boolean-metric-spaces-and-boolean-algebraic-varieties-0903.2567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boolean-metric-spaces-and-boolean-algebraic-varieties-0903.2567"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-weak-dimension-of-a-coherent-power-series-rings-0903.2779</loc><lastmod>2009-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-weak-dimension-of-a-coherent-power-series-rings-0903.2779"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-weak-dimension-of-a-coherent-power-series-rings-0903.2779"/></url>
<url><loc>https://scifaro.com/en/abs/generation-of-the-symmetric-field-by-newton-polynomials-in-prime-characteristic-0903.3192</loc><lastmod>2011-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generation-of-the-symmetric-field-by-newton-polynomials-in-prime-characteristic-0903.3192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generation-of-the-symmetric-field-by-newton-polynomials-in-prime-characteristic-0903.3192"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-isolated-quotient-singularities-of-odd-prime-dimension-are-cyclic-0903.3270</loc><lastmod>2011-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-isolated-quotient-singularities-of-odd-prime-dimension-are-cyclic-0903.3270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-isolated-quotient-singularities-of-odd-prime-dimension-are-cyclic-0903.3270"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-graded-components-of-the-canonical-module-and-the-core-of-standard-graded-algebras-0903.3439</loc><lastmod>2009-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-graded-components-of-the-canonical-module-and-the-core-of-standard-graded-algebras-0903.3439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-graded-components-of-the-canonical-module-and-the-core-of-standard-graded-algebras-0903.3439"/></url>
<url><loc>https://scifaro.com/en/abs/the-h-vectors-of-1-dimensional-matroid-complexes-and-a-conjecture-of-stanley-0903.3569</loc><lastmod>2009-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-h-vectors-of-1-dimensional-matroid-complexes-and-a-conjecture-of-stanley-0903.3569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-h-vectors-of-1-dimensional-matroid-complexes-and-a-conjecture-of-stanley-0903.3569"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-elements-of-artinian-gorenstein-algebras-and-hessians-of-homogeneous-polynomials-0903.3581</loc><lastmod>2009-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-elements-of-artinian-gorenstein-algebras-and-hessians-of-homogeneous-polynomials-0903.3581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-elements-of-artinian-gorenstein-algebras-and-hessians-of-homogeneous-polynomials-0903.3581"/></url>
<url><loc>https://scifaro.com/en/abs/exterior-depth-and-exterior-generic-annihilator-numbers-0903.3884</loc><lastmod>2009-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/exterior-depth-and-exterior-generic-annihilator-numbers-0903.3884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/exterior-depth-and-exterior-generic-annihilator-numbers-0903.3884"/></url>
<url><loc>https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-ii-non-normal-case-0903.4310</loc><lastmod>2009-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-ii-non-normal-case-0903.4310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualizing-complex-of-a-toric-face-ring-ii-non-normal-case-0903.4310"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-ext-modules-and-homological-degree-0903.4535</loc><lastmod>2009-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-ext-modules-and-homological-degree-0903.4535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-ext-modules-and-homological-degree-0903.4535"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-global-dimension-of-an-amalgamated-duplication-of-a-coherent-ring-along-an-ideal-0903.5013</loc><lastmod>2009-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-global-dimension-of-an-amalgamated-duplication-of-a-coherent-ring-along-an-ideal-0903.5013"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-global-dimension-of-an-amalgamated-duplication-of-a-coherent-ring-along-an-ideal-0903.5013"/></url>
<url><loc>https://scifaro.com/en/abs/well-centered-overrings-of-a-commutative-ring-in-pullbacks-and-trivial-extensions-0903.5033</loc><lastmod>2009-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/well-centered-overrings-of-a-commutative-ring-in-pullbacks-and-trivial-extensions-0903.5033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/well-centered-overrings-of-a-commutative-ring-in-pullbacks-and-trivial-extensions-0903.5033"/></url>
<url><loc>https://scifaro.com/en/abs/curvettes-and-clusters-of-infinitely-near-points-0903.5109</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/curvettes-and-clusters-of-infinitely-near-points-0903.5109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/curvettes-and-clusters-of-infinitely-near-points-0903.5109"/></url>
<url><loc>https://scifaro.com/en/abs/on-g-n-d-rings-0903.5220</loc><lastmod>2009-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-g-n-d-rings-0903.5220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-g-n-d-rings-0903.5220"/></url>
<url><loc>https://scifaro.com/en/abs/on-multidegrees-of-polynomial-automorphisms-of-c-3-0903.5512</loc><lastmod>2009-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-multidegrees-of-polynomial-automorphisms-of-c-3-0903.5512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-multidegrees-of-polynomial-automorphisms-of-c-3-0903.5512"/></url>
<url><loc>https://scifaro.com/en/abs/generic-tropical-varieties-0904.0120</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-tropical-varieties-0904.0120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-tropical-varieties-0904.0120"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-property-of-separating-invariants-of-finite-groups-0904.1069</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-separating-invariants-of-finite-groups-0904.1069"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-separating-invariants-of-finite-groups-0904.1069"/></url>
<url><loc>https://scifaro.com/en/abs/consecutive-cancellations-in-betti-numbers-of-local-rings-0904.1086</loc><lastmod>2009-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/consecutive-cancellations-in-betti-numbers-of-local-rings-0904.1086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/consecutive-cancellations-in-betti-numbers-of-local-rings-0904.1086"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-tor-over-complete-intersections-0904.1408</loc><lastmod>2016-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-tor-over-complete-intersections-0904.1408"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-tor-over-complete-intersections-0904.1408"/></url>
<url><loc>https://scifaro.com/en/abs/homological-properties-of-the-perfect-and-absolute-integral-closures-of-noetherian-domains-0904.1540</loc><lastmod>2012-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-properties-of-the-perfect-and-absolute-integral-closures-of-noetherian-domains-0904.1540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-properties-of-the-perfect-and-absolute-integral-closures-of-noetherian-domains-0904.1540"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-incidence-algebras-affine-semigroups-and-stanley-reisner-ideals-0904.1683</loc><lastmod>2016-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-incidence-algebras-affine-semigroups-and-stanley-reisner-ideals-0904.1683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-incidence-algebras-affine-semigroups-and-stanley-reisner-ideals-0904.1683"/></url>
<url><loc>https://scifaro.com/en/abs/duals-and-transforms-of-ideals-in-pvmds-0904.2273</loc><lastmod>2009-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duals-and-transforms-of-ideals-in-pvmds-0904.2273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duals-and-transforms-of-ideals-in-pvmds-0904.2273"/></url>
<url><loc>https://scifaro.com/en/abs/simple-graded-commutative-algebras-0904.2825</loc><lastmod>2009-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-graded-commutative-algebras-0904.2825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-graded-commutative-algebras-0904.2825"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-over-commutative-koszul-algebras-0904.2843</loc><lastmod>2009-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-over-commutative-koszul-algebras-0904.2843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-over-commutative-koszul-algebras-0904.2843"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-homology-for-modules-of-finite-complete-intersection-dimension-0904.2846</loc><lastmod>2009-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-homology-for-modules-of-finite-complete-intersection-dimension-0904.2846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-homology-for-modules-of-finite-complete-intersection-dimension-0904.2846"/></url>
<url><loc>https://scifaro.com/en/abs/on-growth-in-totally-acyclic-minimal-complexes-0904.2847</loc><lastmod>2009-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-growth-in-totally-acyclic-minimal-complexes-0904.2847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-growth-in-totally-acyclic-minimal-complexes-0904.2847"/></url>
<url><loc>https://scifaro.com/en/abs/on-sigma-delta-picard-vessiot-extensions-0904.3355</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-sigma-delta-picard-vessiot-extensions-0904.3355"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-sigma-delta-picard-vessiot-extensions-0904.3355"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-the-logarithmic-derivation-module-0904.3465</loc><lastmod>2009-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-the-logarithmic-derivation-module-0904.3465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-the-logarithmic-derivation-module-0904.3465"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-over-short-gorenstein-local-rings-0904.3510</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-over-short-gorenstein-local-rings-0904.3510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-over-short-gorenstein-local-rings-0904.3510"/></url>
<url><loc>https://scifaro.com/en/abs/normalization-of-rings-0904.3561</loc><lastmod>2010-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normalization-of-rings-0904.3561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normalization-of-rings-0904.3561"/></url>
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<url><loc>https://scifaro.com/en/abs/rings-that-are-homologically-of-minimal-multiplicity-0904.3982</loc><lastmod>2010-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-that-are-homologically-of-minimal-multiplicity-0904.3982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-that-are-homologically-of-minimal-multiplicity-0904.3982"/></url>
<url><loc>https://scifaro.com/en/abs/reduction-of-derived-hochschild-functors-over-commutative-algebras-and-schemes-0904.4004</loc><lastmod>2009-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduction-of-derived-hochschild-functors-over-commutative-algebras-and-schemes-0904.4004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduction-of-derived-hochschild-functors-over-commutative-algebras-and-schemes-0904.4004"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-n-gorenstein-projective-injective-and-flat-modules-0904.4013</loc><lastmod>2009-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-n-gorenstein-projective-injective-and-flat-modules-0904.4013"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-n-gorenstein-projective-injective-and-flat-modules-0904.4013"/></url>
<url><loc>https://scifaro.com/en/abs/the-space-of-finitely-generated-rings-0904.4216</loc><lastmod>2010-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-space-of-finitely-generated-rings-0904.4216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-space-of-finitely-generated-rings-0904.4216"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-0904.4233</loc><lastmod>2018-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-0904.4233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-0904.4233"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-and-f-stability-0904.4425</loc><lastmod>2009-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-and-f-stability-0904.4425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-and-f-stability-0904.4425"/></url>
<url><loc>https://scifaro.com/en/abs/siphons-in-chemical-reaction-networks-0904.4529</loc><lastmod>2010-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/siphons-in-chemical-reaction-networks-0904.4529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/siphons-in-chemical-reaction-networks-0904.4529"/></url>
<url><loc>https://scifaro.com/en/abs/reflexivity-and-rigidity-for-complexes-i-commutative-rings-0904.4695</loc><lastmod>2009-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexivity-and-rigidity-for-complexes-i-commutative-rings-0904.4695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexivity-and-rigidity-for-complexes-i-commutative-rings-0904.4695"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-symmetry-in-the-vanishing-of-ext-0904.4858</loc><lastmod>2009-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-symmetry-in-the-vanishing-of-ext-0904.4858"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-symmetry-in-the-vanishing-of-ext-0904.4858"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-a-classification-of-boldsymbol-e-a-b-semistar-operations-0905.0217</loc><lastmod>2009-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-a-classification-of-boldsymbol-e-a-b-semistar-operations-0905.0217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-a-classification-of-boldsymbol-e-a-b-semistar-operations-0905.0217"/></url>
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<url><loc>https://scifaro.com/en/abs/cotorsion-pairs-induced-by-duality-pairs-0905.0776</loc><lastmod>2009-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cotorsion-pairs-induced-by-duality-pairs-0905.0776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cotorsion-pairs-induced-by-duality-pairs-0905.0776"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-symbolic-rees-algebras-of-edge-ideals-of-clutters-0905.0938</loc><lastmod>2011-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-symbolic-rees-algebras-of-edge-ideals-of-clutters-0905.0938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-symbolic-rees-algebras-of-edge-ideals-of-clutters-0905.0938"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-s-conjecture-for-critical-ideals-0905.0960</loc><lastmod>2018-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-s-conjecture-for-critical-ideals-0905.0960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-s-conjecture-for-critical-ideals-0905.0960"/></url>
<url><loc>https://scifaro.com/en/abs/subideal-border-bases-0905.1090</loc><lastmod>2009-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subideal-border-bases-0905.1090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subideal-border-bases-0905.1090"/></url>
<url><loc>https://scifaro.com/en/abs/a-look-at-the-prime-and-semiprime-operations-of-one-dimensional-domains-0905.1117</loc><lastmod>2009-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-look-at-the-prime-and-semiprime-operations-of-one-dimensional-domains-0905.1117"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-look-at-the-prime-and-semiprime-operations-of-one-dimensional-domains-0905.1117"/></url>
<url><loc>https://scifaro.com/en/abs/support-and-injective-resolutions-of-complexes-over-commutative-rings-0905.1969</loc><lastmod>2010-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-and-injective-resolutions-of-complexes-over-commutative-rings-0905.1969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-and-injective-resolutions-of-complexes-over-commutative-rings-0905.1969"/></url>
<url><loc>https://scifaro.com/en/abs/boundedness-of-cohomology-0905.2471</loc><lastmod>2009-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boundedness-of-cohomology-0905.2471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boundedness-of-cohomology-0905.2471"/></url>
<url><loc>https://scifaro.com/en/abs/computations-of-instanton-invariants-0905.2745</loc><lastmod>2009-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computations-of-instanton-invariants-0905.2745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computations-of-instanton-invariants-0905.2745"/></url>
<url><loc>https://scifaro.com/en/abs/pure-states-nonnegative-polynomials-and-sums-of-squares-0905.4161</loc><lastmod>2009-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pure-states-nonnegative-polynomials-and-sums-of-squares-0905.4161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pure-states-nonnegative-polynomials-and-sums-of-squares-0905.4161"/></url>
<url><loc>https://scifaro.com/en/abs/an-inequality-between-depth-and-stanley-depth-0905.4597</loc><lastmod>2010-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-inequality-between-depth-and-stanley-depth-0905.4597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-inequality-between-depth-and-stanley-depth-0905.4597"/></url>
<url><loc>https://scifaro.com/en/abs/a-classification-of-one-dimensional-local-domains-based-on-the-invariant-c-delta-r-delta-0905.4819</loc><lastmod>2009-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-classification-of-one-dimensional-local-domains-based-on-the-invariant-c-delta-r-delta-0905.4819"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-classification-of-one-dimensional-local-domains-based-on-the-invariant-c-delta-r-delta-0905.4819"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-residual-intersections-and-their-castelnuovo-mumford-regularity-0905.4901</loc><lastmod>2011-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-residual-intersections-and-their-castelnuovo-mumford-regularity-0905.4901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-residual-intersections-and-their-castelnuovo-mumford-regularity-0905.4901"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-bipartite-graphs-vertex-decomposability-and-regularity-0906.0273</loc><lastmod>2009-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-bipartite-graphs-vertex-decomposability-and-regularity-0906.0273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-bipartite-graphs-vertex-decomposability-and-regularity-0906.0273"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-primes-of-matlis-duals-of-local-cohomology-modules-ii-0906.0642</loc><lastmod>2009-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-primes-of-matlis-duals-of-local-cohomology-modules-ii-0906.0642"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-primes-of-matlis-duals-of-local-cohomology-modules-ii-0906.0642"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-chern-number-of-an-ideal-0906.0909</loc><lastmod>2009-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-chern-number-of-an-ideal-0906.0909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-chern-number-of-an-ideal-0906.0909"/></url>
<url><loc>https://scifaro.com/en/abs/tangent-cones-of-numerical-semigroup-rings-0906.0911</loc><lastmod>2009-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tangent-cones-of-numerical-semigroup-rings-0906.0911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tangent-cones-of-numerical-semigroup-rings-0906.0911"/></url>
<url><loc>https://scifaro.com/en/abs/covering-modules-by-proper-submodules-0906.1023</loc><lastmod>2022-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/covering-modules-by-proper-submodules-0906.1023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/covering-modules-by-proper-submodules-0906.1023"/></url>
<url><loc>https://scifaro.com/en/abs/a-non-finitely-generated-algebra-of-frobenius-maps-0906.1083</loc><lastmod>2009-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-non-finitely-generated-algebra-of-frobenius-maps-0906.1083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-non-finitely-generated-algebra-of-frobenius-maps-0906.1083"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-with-small-number-of-generators-0906.1105</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-with-small-number-of-generators-0906.1105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-with-small-number-of-generators-0906.1105"/></url>
<url><loc>https://scifaro.com/en/abs/splitting-fields-and-general-differential-galois-theory-0906.1176</loc><lastmod>2010-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splitting-fields-and-general-differential-galois-theory-0906.1176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splitting-fields-and-general-differential-galois-theory-0906.1176"/></url>
<url><loc>https://scifaro.com/en/abs/nullstellensatz-over-quasifields-0906.1183</loc><lastmod>2009-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nullstellensatz-over-quasifields-0906.1183"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nullstellensatz-over-quasifields-0906.1183"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-stanley-s-conjecture-for-monomial-ideals-0906.1303</loc><lastmod>2011-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-stanley-s-conjecture-for-monomial-ideals-0906.1303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-stanley-s-conjecture-for-monomial-ideals-0906.1303"/></url>
<url><loc>https://scifaro.com/en/abs/reconstructing-biochemical-cluster-networks-0906.1342</loc><lastmod>2011-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reconstructing-biochemical-cluster-networks-0906.1342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reconstructing-biochemical-cluster-networks-0906.1342"/></url>
<url><loc>https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-x-p-m-0906.1391</loc><lastmod>2010-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-x-p-m-0906.1391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separators-of-fat-points-in-p-n-x-p-m-0906.1391"/></url>
<url><loc>https://scifaro.com/en/abs/g-prime-and-g-primary-g-ideals-on-g-schemes-0906.1441</loc><lastmod>2014-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-prime-and-g-primary-g-ideals-on-g-schemes-0906.1441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-prime-and-g-primary-g-ideals-on-g-schemes-0906.1441"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-almost-complete-intersections-0906.1591</loc><lastmod>2009-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-almost-complete-intersections-0906.1591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-almost-complete-intersections-0906.1591"/></url>
<url><loc>https://scifaro.com/en/abs/weak-normality-and-seminormality-0906.3334</loc><lastmod>2009-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-normality-and-seminormality-0906.3334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-normality-and-seminormality-0906.3334"/></url>
<url><loc>https://scifaro.com/en/abs/the-uniformization-of-certain-algebraic-hypergeometric-functions-0906.3485</loc><lastmod>2014-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-uniformization-of-certain-algebraic-hypergeometric-functions-0906.3485"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-uniformization-of-certain-algebraic-hypergeometric-functions-0906.3485"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-matlis-and-the-local-duality-0906.3628</loc><lastmod>2010-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-matlis-and-the-local-duality-0906.3628"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-matlis-and-the-local-duality-0906.3628"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-and-derived-categories-0906.4025</loc><lastmod>2009-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-and-derived-categories-0906.4025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-and-derived-categories-0906.4025"/></url>
<url><loc>https://scifaro.com/en/abs/test-ideals-in-non-q-gorenstein-rings-0906.4313</loc><lastmod>2011-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-ideals-in-non-q-gorenstein-rings-0906.4313"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-ideals-in-non-q-gorenstein-rings-0906.4313"/></url>
<url><loc>https://scifaro.com/en/abs/envelopes-of-commutative-rings-0906.4357</loc><lastmod>2009-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/envelopes-of-commutative-rings-0906.4357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/envelopes-of-commutative-rings-0906.4357"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-buchberger-s-criteria-for-groebner-basis-decision-0906.4358</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-buchberger-s-criteria-for-groebner-basis-decision-0906.4358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-buchberger-s-criteria-for-groebner-basis-decision-0906.4358"/></url>
<url><loc>https://scifaro.com/en/abs/on-valuation-rings-0906.4505</loc><lastmod>2009-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-valuation-rings-0906.4505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-valuation-rings-0906.4505"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lengths-of-quotients-of-ideals-and-depths-of-fiber-cones-0906.4649</loc><lastmod>2009-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lengths-of-quotients-of-ideals-and-depths-of-fiber-cones-0906.4649"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lengths-of-quotients-of-ideals-and-depths-of-fiber-cones-0906.4649"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-binomial-ideals-0906.4873</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-binomial-ideals-0906.4873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-binomial-ideals-0906.4873"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-for-high-veronese-subrings-of-toric-algebras-0906.5129</loc><lastmod>2010-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-for-high-veronese-subrings-of-toric-algebras-0906.5129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-for-high-veronese-subrings-of-toric-algebras-0906.5129"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-stanley-depth-0907.0912</loc><lastmod>2009-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-stanley-depth-0907.0912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-stanley-depth-0907.0912"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-square-free-veronese-ideals-0907.1232</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-square-free-veronese-ideals-0907.1232"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-square-free-veronese-ideals-0907.1232"/></url>
<url><loc>https://scifaro.com/en/abs/bound-on-the-projective-dimension-of-three-cubics-0907.1703</loc><lastmod>2010-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bound-on-the-projective-dimension-of-three-cubics-0907.1703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bound-on-the-projective-dimension-of-three-cubics-0907.1703"/></url>
<url><loc>https://scifaro.com/en/abs/algebraicity-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0907.2470</loc><lastmod>2009-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraicity-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0907.2470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraicity-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0907.2470"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-multiplicity-of-a-parameter-module-0907.2604</loc><lastmod>2009-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-multiplicity-of-a-parameter-module-0907.2604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-multiplicity-of-a-parameter-module-0907.2604"/></url>
<url><loc>https://scifaro.com/en/abs/an-excellent-f-pure-ring-of-prime-characteristic-has-a-big-tight-closure-test-element-0907.2857</loc><lastmod>2010-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-excellent-f-pure-ring-of-prime-characteristic-has-a-big-tight-closure-test-element-0907.2857"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-excellent-f-pure-ring-of-prime-characteristic-has-a-big-tight-closure-test-element-0907.2857"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-and-ideals-of-nested-configurations-0907.3253</loc><lastmod>2011-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-and-ideals-of-nested-configurations-0907.3253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-and-ideals-of-nested-configurations-0907.3253"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-graded-rings-associated-to-lex-segment-ideals-in-k-x-y-0907.3542</loc><lastmod>2009-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-graded-rings-associated-to-lex-segment-ideals-in-k-x-y-0907.3542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-graded-rings-associated-to-lex-segment-ideals-in-k-x-y-0907.3542"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-consequences-of-green-s-hyperplane-restriction-theorems-0907.3912</loc><lastmod>2010-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-consequences-of-green-s-hyperplane-restriction-theorems-0907.3912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-consequences-of-green-s-hyperplane-restriction-theorems-0907.3912"/></url>
<url><loc>https://scifaro.com/en/abs/a-deformation-of-commutative-polynomial-algebras-in-even-numbers-of-variables-0907.3990</loc><lastmod>2010-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-deformation-of-commutative-polynomial-algebras-in-even-numbers-of-variables-0907.3990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-deformation-of-commutative-polynomial-algebras-in-even-numbers-of-variables-0907.3990"/></url>
<url><loc>https://scifaro.com/en/abs/uniquely-presented-finitely-generated-commutative-monoids-0907.4241</loc><lastmod>2010-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniquely-presented-finitely-generated-commutative-monoids-0907.4241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniquely-presented-finitely-generated-commutative-monoids-0907.4241"/></url>
<url><loc>https://scifaro.com/en/abs/phi-prime-submodules-0907.4349</loc><lastmod>2009-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/phi-prime-submodules-0907.4349"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/phi-prime-submodules-0907.4349"/></url>
<url><loc>https://scifaro.com/en/abs/global-sections-of-structure-sheaves-of-keigher-rings-0907.4422</loc><lastmod>2010-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-sections-of-structure-sheaves-of-keigher-rings-0907.4422"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-sections-of-structure-sheaves-of-keigher-rings-0907.4422"/></url>
<url><loc>https://scifaro.com/en/abs/pieri-resolutions-for-classical-groups-0907.4505</loc><lastmod>2012-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pieri-resolutions-for-classical-groups-0907.4505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pieri-resolutions-for-classical-groups-0907.4505"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-monoid-parametrizations-0907.4669</loc><lastmod>2010-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-monoid-parametrizations-0907.4669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-monoid-parametrizations-0907.4669"/></url>
<url><loc>https://scifaro.com/en/abs/tate-cohomology-with-respect-to-semidualizing-modules-0907.4969</loc><lastmod>2009-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tate-cohomology-with-respect-to-semidualizing-modules-0907.4969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tate-cohomology-with-respect-to-semidualizing-modules-0907.4969"/></url>
<url><loc>https://scifaro.com/en/abs/inheritance-of-properties-of-spectra-0907.5526</loc><lastmod>2011-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inheritance-of-properties-of-spectra-0907.5526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inheritance-of-properties-of-spectra-0907.5526"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-thick-subcategories-of-the-stable-category-of-cohen-macaulay-modules-0908.0107</loc><lastmod>2010-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-thick-subcategories-of-the-stable-category-of-cohen-macaulay-modules-0908.0107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-thick-subcategories-of-the-stable-category-of-cohen-macaulay-modules-0908.0107"/></url>
<url><loc>https://scifaro.com/en/abs/depths-of-powers-of-the-edge-ideal-of-a-tree-0908.0553</loc><lastmod>2009-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depths-of-powers-of-the-edge-ideal-of-a-tree-0908.0553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depths-of-powers-of-the-edge-ideal-of-a-tree-0908.0553"/></url>
<url><loc>https://scifaro.com/en/abs/f-coherent-rings-with-applications-to-tight-closure-theory-0908.0630</loc><lastmod>2014-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-coherent-rings-with-applications-to-tight-closure-theory-0908.0630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-coherent-rings-with-applications-to-tight-closure-theory-0908.0630"/></url>
<url><loc>https://scifaro.com/en/abs/theory-of-tangential-idealizers-and-tangentially-free-ideals-0908.0911</loc><lastmod>2017-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/theory-of-tangential-idealizers-and-tangentially-free-ideals-0908.0911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/theory-of-tangential-idealizers-and-tangentially-free-ideals-0908.0911"/></url>
<url><loc>https://scifaro.com/en/abs/transcendence-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0908.0971</loc><lastmod>2009-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transcendence-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0908.0971"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transcendence-of-some-hilbert-kunz-multiplicities-modulo-a-conjecture-0908.0971"/></url>
<url><loc>https://scifaro.com/en/abs/a-macaulay-2-interface-for-normaliz-0908.1308</loc><lastmod>2010-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-macaulay-2-interface-for-normaliz-0908.1308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-macaulay-2-interface-for-normaliz-0908.1308"/></url>
<url><loc>https://scifaro.com/en/abs/on-strong-a-rings-0908.1342</loc><lastmod>2009-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strong-a-rings-0908.1342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strong-a-rings-0908.1342"/></url>
<url><loc>https://scifaro.com/en/abs/face-rings-of-complexes-with-singularities-0908.1433</loc><lastmod>2009-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/face-rings-of-complexes-with-singularities-0908.1433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/face-rings-of-complexes-with-singularities-0908.1433"/></url>
<url><loc>https://scifaro.com/en/abs/colorings-of-hypergraphs-perfect-graphs-and-associated-primes-of-powers-of-monomial-ideals-0908.1505</loc><lastmod>2010-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colorings-of-hypergraphs-perfect-graphs-and-associated-primes-of-powers-of-monomial-ideals-0908.1505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colorings-of-hypergraphs-perfect-graphs-and-associated-primes-of-powers-of-monomial-ideals-0908.1505"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-groebner-bases-and-the-gaussian-two-factor-model-0908.1530</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-groebner-bases-and-the-gaussian-two-factor-model-0908.1530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-groebner-bases-and-the-gaussian-two-factor-model-0908.1530"/></url>
<url><loc>https://scifaro.com/en/abs/finite-groebner-bases-in-infinite-dimensional-polynomial-rings-and-applications-0908.1777</loc><lastmod>2011-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-groebner-bases-in-infinite-dimensional-polynomial-rings-and-applications-0908.1777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-groebner-bases-in-infinite-dimensional-polynomial-rings-and-applications-0908.1777"/></url>
<url><loc>https://scifaro.com/en/abs/gotzmann-edge-ideals-0908.1946</loc><lastmod>2009-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gotzmann-edge-ideals-0908.1946"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gotzmann-edge-ideals-0908.1946"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-and-regular-rings-0908.2470</loc><lastmod>2009-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-and-regular-rings-0908.2470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-and-regular-rings-0908.2470"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-homomorphisms-strong-f-regularity-and-f-injectivity-0908.2703</loc><lastmod>2010-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-homomorphisms-strong-f-regularity-and-f-injectivity-0908.2703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-homomorphisms-strong-f-regularity-and-f-injectivity-0908.2703"/></url>
<url><loc>https://scifaro.com/en/abs/local-global-principle-for-transvection-groups-0908.3094</loc><lastmod>2009-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-global-principle-for-transvection-groups-0908.3094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-global-principle-for-transvection-groups-0908.3094"/></url>
<url><loc>https://scifaro.com/en/abs/difference-nullstellensatz-in-the-case-of-finite-group-0908.3863</loc><lastmod>2010-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-nullstellensatz-in-the-case-of-finite-group-0908.3863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-nullstellensatz-in-the-case-of-finite-group-0908.3863"/></url>
<url><loc>https://scifaro.com/en/abs/difference-nullstellensatz-0908.3865</loc><lastmod>2011-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-nullstellensatz-0908.3865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-nullstellensatz-0908.3865"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-arithmetic-of-krull-monoids-with-infinite-cyclic-class-group-0908.4191</loc><lastmod>2009-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetic-of-krull-monoids-with-infinite-cyclic-class-group-0908.4191"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetic-of-krull-monoids-with-infinite-cyclic-class-group-0908.4191"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-hilbert-series-and-the-strong-lefschetz-property-0909.0244</loc><lastmod>2010-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-hilbert-series-and-the-strong-lefschetz-property-0909.0244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-hilbert-series-and-the-strong-lefschetz-property-0909.0244"/></url>
<url><loc>https://scifaro.com/en/abs/colombeau-s-algebra-of-full-generalized-numbers-0909.0348</loc><lastmod>2009-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colombeau-s-algebra-of-full-generalized-numbers-0909.0348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colombeau-s-algebra-of-full-generalized-numbers-0909.0348"/></url>
<url><loc>https://scifaro.com/en/abs/generic-initial-ideals-of-some-monomial-complete-intersections-in-four-variables-0909.0365</loc><lastmod>2009-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-of-some-monomial-complete-intersections-in-four-variables-0909.0365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-of-some-monomial-complete-intersections-in-four-variables-0909.0365"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-decompositions-and-hilbert-depth-in-the-koszul-complex-0909.0686</loc><lastmod>2010-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-and-hilbert-depth-in-the-koszul-complex-0909.0686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-and-hilbert-depth-in-the-koszul-complex-0909.0686"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-and-finiteness-properties-of-generalized-local-cohomology-modules-0909.1131</loc><lastmod>2009-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-and-finiteness-properties-of-generalized-local-cohomology-modules-0909.1131"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-and-finiteness-properties-of-generalized-local-cohomology-modules-0909.1131"/></url>
<url><loc>https://scifaro.com/en/abs/the-stanley-reisner-ideals-of-polygons-as-set-theoretic-complete-intersections-0909.1900</loc><lastmod>2009-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stanley-reisner-ideals-of-polygons-as-set-theoretic-complete-intersections-0909.1900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stanley-reisner-ideals-of-polygons-as-set-theoretic-complete-intersections-0909.1900"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-generic-tropical-varieties-0909.2129</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-generic-tropical-varieties-0909.2129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-generic-tropical-varieties-0909.2129"/></url>
<url><loc>https://scifaro.com/en/abs/when-every-gorenstein-projective-resp-flat-module-is-strongly-gorenstein-projective-resp-flat-0909.2384</loc><lastmod>2009-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-every-gorenstein-projective-resp-flat-module-is-strongly-gorenstein-projective-resp-flat-0909.2384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-every-gorenstein-projective-resp-flat-module-is-strongly-gorenstein-projective-resp-flat-0909.2384"/></url>
<url><loc>https://scifaro.com/en/abs/local-dimension-of-differential-algebraic-variety-0909.3186</loc><lastmod>2009-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-dimension-of-differential-algebraic-variety-0909.3186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-dimension-of-differential-algebraic-variety-0909.3186"/></url>
<url><loc>https://scifaro.com/en/abs/injective-stability-for-k-1-of-classical-modules-0909.3351</loc><lastmod>2009-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/injective-stability-for-k-1-of-classical-modules-0909.3351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/injective-stability-for-k-1-of-classical-modules-0909.3351"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-monomial-ideals-and-lozenges-0909.3509</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-monomial-ideals-and-lozenges-0909.3509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-monomial-ideals-and-lozenges-0909.3509"/></url>
<url><loc>https://scifaro.com/en/abs/the-depth-formula-for-modules-with-reducible-complexity-0909.4102</loc><lastmod>2009-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-depth-formula-for-modules-with-reducible-complexity-0909.4102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-depth-formula-for-modules-with-reducible-complexity-0909.4102"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-lefschetz-property-for-coinvariant-rings-of-finite-reflection-groups-0909.4184</loc><lastmod>2014-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-coinvariant-rings-of-finite-reflection-groups-0909.4184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-coinvariant-rings-of-finite-reflection-groups-0909.4184"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-edge-ideal-whose-height-is-half-of-the-number-of-vertices-0909.4368</loc><lastmod>2009-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-edge-ideal-whose-height-is-half-of-the-number-of-vertices-0909.4368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-edge-ideal-whose-height-is-half-of-the-number-of-vertices-0909.4368"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-and-conditional-independence-statements-0909.4717</loc><lastmod>2009-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-and-conditional-independence-statements-0909.4717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-and-conditional-independence-statements-0909.4717"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-global-dimension-of-semi-primary-rings-0909.4818</loc><lastmod>2009-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-global-dimension-of-semi-primary-rings-0909.4818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-global-dimension-of-semi-primary-rings-0909.4818"/></url>
<url><loc>https://scifaro.com/en/abs/on-gorenstein-global-dimension-in-trivial-ring-extensions-0909.4863</loc><lastmod>2009-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gorenstein-global-dimension-in-trivial-ring-extensions-0909.4863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gorenstein-global-dimension-in-trivial-ring-extensions-0909.4863"/></url>
<url><loc>https://scifaro.com/en/abs/subalgebra-analogue-to-standard-basis-for-ideal-0909.5329</loc><lastmod>2009-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subalgebra-analogue-to-standard-basis-for-ideal-0909.5329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subalgebra-analogue-to-standard-basis-for-ideal-0909.5329"/></url>
<url><loc>https://scifaro.com/en/abs/good-filtrations-and-f-purity-of-invariant-subrings-0910.0081</loc><lastmod>2010-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/good-filtrations-and-f-purity-of-invariant-subrings-0910.0081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/good-filtrations-and-f-purity-of-invariant-subrings-0910.0081"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0910.0583</loc><lastmod>2009-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0910.0583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-simplicial-toric-ideals-0910.0583"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-of-the-amalgamated-duplication-of-a-ring-along-a-pure-ideal-0910.0644</loc><lastmod>2009-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-of-the-amalgamated-duplication-of-a-ring-along-a-pure-ideal-0910.0644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-of-the-amalgamated-duplication-of-a-ring-along-a-pure-ideal-0910.0644"/></url>
<url><loc>https://scifaro.com/en/abs/on-local-cohomology-of-a-tetrahedral-curve-0910.0919</loc><lastmod>2009-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-local-cohomology-of-a-tetrahedral-curve-0910.0919"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-local-cohomology-of-a-tetrahedral-curve-0910.0919"/></url>
<url><loc>https://scifaro.com/en/abs/standard-bases-over-rings-0910.0970</loc><lastmod>2009-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-bases-over-rings-0910.0970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-bases-over-rings-0910.0970"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-s-theta-invariant-and-the-hodge-riemann-bilinear-relations-0910.1289</loc><lastmod>2010-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-s-theta-invariant-and-the-hodge-riemann-bilinear-relations-0910.1289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-s-theta-invariant-and-the-hodge-riemann-bilinear-relations-0910.1289"/></url>
<url><loc>https://scifaro.com/en/abs/on-n-strongly-gorenstein-rings-0910.1456</loc><lastmod>2009-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-n-strongly-gorenstein-rings-0910.1456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-n-strongly-gorenstein-rings-0910.1456"/></url>
<url><loc>https://scifaro.com/en/abs/dualizing-complex-of-the-face-ring-of-a-simplicial-poset-0910.1498</loc><lastmod>2010-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualizing-complex-of-the-face-ring-of-a-simplicial-poset-0910.1498"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualizing-complex-of-the-face-ring-of-a-simplicial-poset-0910.1498"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-determine-hierarchical-markov-degrees-0910.1610</loc><lastmod>2013-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-determine-hierarchical-markov-degrees-0910.1610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-determine-hierarchical-markov-degrees-0910.1610"/></url>
<url><loc>https://scifaro.com/en/abs/universal-enveloping-algebras-of-lie-antialgebras-0910.2220</loc><lastmod>2010-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universal-enveloping-algebras-of-lie-antialgebras-0910.2220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universal-enveloping-algebras-of-lie-antialgebras-0910.2220"/></url>
<url><loc>https://scifaro.com/en/abs/normaliz-algorithms-for-affine-monoids-and-rational-cones-0910.2845</loc><lastmod>2010-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normaliz-algorithms-for-affine-monoids-and-rational-cones-0910.2845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normaliz-algorithms-for-affine-monoids-and-rational-cones-0910.2845"/></url>
<url><loc>https://scifaro.com/en/abs/the-betti-polynomials-of-powers-of-an-ideal-0910.3396</loc><lastmod>2009-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-betti-polynomials-of-powers-of-an-ideal-0910.3396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-betti-polynomials-of-powers-of-an-ideal-0910.3396"/></url>
<url><loc>https://scifaro.com/en/abs/the-tame-automorphism-group-in-two-variables-over-basic-artinian-rings-0910.3519</loc><lastmod>2012-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-tame-automorphism-group-in-two-variables-over-basic-artinian-rings-0910.3519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-tame-automorphism-group-in-two-variables-over-basic-artinian-rings-0910.3519"/></url>
<url><loc>https://scifaro.com/en/abs/almost-reverse-lexicographic-ideals-and-fr-o-berg-sequence-0910.3830</loc><lastmod>2009-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-reverse-lexicographic-ideals-and-fr-o-berg-sequence-0910.3830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-reverse-lexicographic-ideals-and-fr-o-berg-sequence-0910.3830"/></url>
<url><loc>https://scifaro.com/en/abs/free-modules-of-a-multigraded-resolution-from-simplicial-complexes-0910.4112</loc><lastmod>2009-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-modules-of-a-multigraded-resolution-from-simplicial-complexes-0910.4112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-modules-of-a-multigraded-resolution-from-simplicial-complexes-0910.4112"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-regularity-of-powers-of-ideals-of-points-in-a-weighted-projective-plane-0910.4232</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-regularity-of-powers-of-ideals-of-points-in-a-weighted-projective-plane-0910.4232"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-regularity-of-powers-of-ideals-of-points-in-a-weighted-projective-plane-0910.4232"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-the-core-of-an-ideal-0910.4597</loc><lastmod>2009-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-the-core-of-an-ideal-0910.4597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-the-core-of-an-ideal-0910.4597"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-von-neumann-regular-rings-0910.4639</loc><lastmod>2009-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-von-neumann-regular-rings-0910.4639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-von-neumann-regular-rings-0910.4639"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-veronese-ideals-0910.4645</loc><lastmod>2009-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-veronese-ideals-0910.4645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-veronese-ideals-0910.4645"/></url>
<url><loc>https://scifaro.com/en/abs/hierarchical-zonotopal-spaces-0910.5543</loc><lastmod>2012-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hierarchical-zonotopal-spaces-0910.5543"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hierarchical-zonotopal-spaces-0910.5543"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-weak-gorenstein-global-dimensions-0910.5752</loc><lastmod>2009-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-weak-gorenstein-global-dimensions-0910.5752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-weak-gorenstein-global-dimensions-0910.5752"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-closure-operations-that-induce-big-cohen-macaulay-modules-0911.0398</loc><lastmod>2010-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-closure-operations-that-induce-big-cohen-macaulay-modules-0911.0398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-closure-operations-that-induce-big-cohen-macaulay-modules-0911.0398"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-derived-functors-of-the-third-symmetric-power-functor-0911.0638</loc><lastmod>2009-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-derived-functors-of-the-third-symmetric-power-functor-0911.0638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-derived-functors-of-the-third-symmetric-power-functor-0911.0638"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithmic-approach-to-dold-puppe-complexes-0911.0643</loc><lastmod>2009-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithmic-approach-to-dold-puppe-complexes-0911.0643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithmic-approach-to-dold-puppe-complexes-0911.0643"/></url>
<url><loc>https://scifaro.com/en/abs/a-polyhedral-approach-to-computing-border-bases-0911.0859</loc><lastmod>2010-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-polyhedral-approach-to-computing-border-bases-0911.0859"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-polyhedral-approach-to-computing-border-bases-0911.0859"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-and-powers-of-linear-forms-in-k-x-y-z-0911.0876</loc><lastmod>2012-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-and-powers-of-linear-forms-in-k-x-y-z-0911.0876"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-and-powers-of-linear-forms-in-k-x-y-z-0911.0876"/></url>
<url><loc>https://scifaro.com/en/abs/when-an-amalgamated-duplication-of-a-ring-along-an-ideal-is-quasi-frobenius-0911.1135</loc><lastmod>2009-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-an-amalgamated-duplication-of-a-ring-along-an-ideal-is-quasi-frobenius-0911.1135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-an-amalgamated-duplication-of-a-ring-along-an-ideal-is-quasi-frobenius-0911.1135"/></url>
<url><loc>https://scifaro.com/en/abs/the-right-orthogonal-class-gp-r-perp-via-ext-0911.1272</loc><lastmod>2009-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-right-orthogonal-class-gp-r-perp-via-ext-0911.1272"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-right-orthogonal-class-gp-r-perp-via-ext-0911.1272"/></url>
<url><loc>https://scifaro.com/en/abs/a-conjecture-on-critical-graphs-and-connections-to-the-persistence-of-associated-primes-0911.1978</loc><lastmod>2010-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-conjecture-on-critical-graphs-and-connections-to-the-persistence-of-associated-primes-0911.1978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-conjecture-on-critical-graphs-and-connections-to-the-persistence-of-associated-primes-0911.1978"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linearity-of-ideals-arising-from-graphs-0911.2026</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linearity-of-ideals-arising-from-graphs-0911.2026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linearity-of-ideals-arising-from-graphs-0911.2026"/></url>
<url><loc>https://scifaro.com/en/abs/on-pairs-of-commuting-derivations-of-the-polynomial-ring-in-two-variables-0911.2073</loc><lastmod>2009-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pairs-of-commuting-derivations-of-the-polynomial-ring-in-two-variables-0911.2073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pairs-of-commuting-derivations-of-the-polynomial-ring-in-two-variables-0911.2073"/></url>
<url><loc>https://scifaro.com/en/abs/on-pr-ufer-like-conditions-0911.2250</loc><lastmod>2009-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pr-ufer-like-conditions-0911.2250"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pr-ufer-like-conditions-0911.2250"/></url>
<url><loc>https://scifaro.com/en/abs/graphs-and-ideals-generated-by-some-2-minors-0911.2549</loc><lastmod>2009-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graphs-and-ideals-generated-by-some-2-minors-0911.2549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graphs-and-ideals-generated-by-some-2-minors-0911.2549"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-and-nonlinear-equations-of-rees-algebra-0911.2569</loc><lastmod>2009-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-and-nonlinear-equations-of-rees-algebra-0911.2569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-and-nonlinear-equations-of-rees-algebra-0911.2569"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-i-0911.2659</loc><lastmod>2015-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-i-0911.2659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-i-0911.2659"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-lexsegment-edge-ideals-0911.2884</loc><lastmod>2009-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-lexsegment-edge-ideals-0911.2884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-lexsegment-edge-ideals-0911.2884"/></url>
<url><loc>https://scifaro.com/en/abs/a-v-operation-free-approach-to-pr-ufer-v-multiplication-domains-0911.2887</loc><lastmod>2009-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-v-operation-free-approach-to-pr-ufer-v-multiplication-domains-0911.2887"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-v-operation-free-approach-to-pr-ufer-v-multiplication-domains-0911.2887"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-orbit-sets-of-unimodular-rows-0911.3278</loc><lastmod>2011-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-orbit-sets-of-unimodular-rows-0911.3278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-orbit-sets-of-unimodular-rows-0911.3278"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-the-real-algebraic-sphere-of-dimension-3-0911.3284</loc><lastmod>2011-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-the-real-algebraic-sphere-of-dimension-3-0911.3284"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-the-real-algebraic-sphere-of-dimension-3-0911.3284"/></url>
<url><loc>https://scifaro.com/en/abs/stably-free-modules-over-smooth-affine-threefolds-0911.3495</loc><lastmod>2019-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stably-free-modules-over-smooth-affine-threefolds-0911.3495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stably-free-modules-over-smooth-affine-threefolds-0911.3495"/></url>
<url><loc>https://scifaro.com/en/abs/isomorphism-classes-of-short-gorenstein-local-rings-via-macaulay-s-inverse-system-0911.3565</loc><lastmod>2009-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphism-classes-of-short-gorenstein-local-rings-via-macaulay-s-inverse-system-0911.3565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphism-classes-of-short-gorenstein-local-rings-via-macaulay-s-inverse-system-0911.3565"/></url>
<url><loc>https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-i-freeness-conditions-for-crossed-squares-0911.4050</loc><lastmod>2009-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-i-freeness-conditions-for-crossed-squares-0911.4050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-i-freeness-conditions-for-crossed-squares-0911.4050"/></url>
<url><loc>https://scifaro.com/en/abs/semilocal-formal-fibers-of-principal-prime-ideals-0911.4196</loc><lastmod>2009-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semilocal-formal-fibers-of-principal-prime-ideals-0911.4196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semilocal-formal-fibers-of-principal-prime-ideals-0911.4196"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-non-rigidity-of-the-frobenius-endomorphism-over-gorenstein-rings-0911.4268</loc><lastmod>2010-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-non-rigidity-of-the-frobenius-endomorphism-over-gorenstein-rings-0911.4268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-non-rigidity-of-the-frobenius-endomorphism-over-gorenstein-rings-0911.4268"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-non-commutative-crepant-resolutions-of-complete-intersections-0911.4541</loc><lastmod>2009-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-non-commutative-crepant-resolutions-of-complete-intersections-0911.4541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-non-commutative-crepant-resolutions-of-complete-intersections-0911.4541"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-complexities-of-pairs-of-modules-0911.4543</loc><lastmod>2009-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-complexities-of-pairs-of-modules-0911.4543"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-complexities-of-pairs-of-modules-0911.4543"/></url>
<url><loc>https://scifaro.com/en/abs/converting-subalgebra-bases-with-the-sagbi-walk-0911.4773</loc><lastmod>2009-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/converting-subalgebra-bases-with-the-sagbi-walk-0911.4773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/converting-subalgebra-bases-with-the-sagbi-walk-0911.4773"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-extensions-of-simplicial-ideals-and-reduction-number-0911.5423</loc><lastmod>2009-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-extensions-of-simplicial-ideals-and-reduction-number-0911.5423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-extensions-of-simplicial-ideals-and-reduction-number-0911.5423"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-of-stanley-depth-of-squarefree-veronese-ideals-0911.5458</loc><lastmod>2010-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-of-stanley-depth-of-squarefree-veronese-ideals-0911.5458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-of-stanley-depth-of-squarefree-veronese-ideals-0911.5458"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-linearity-of-regularity-and-a-invariant-of-powers-of-ideals-0911.5537</loc><lastmod>2010-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-linearity-of-regularity-and-a-invariant-of-powers-of-ideals-0911.5537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-linearity-of-regularity-and-a-invariant-of-powers-of-ideals-0911.5537"/></url>
<url><loc>https://scifaro.com/en/abs/the-lower-semicontinuity-of-the-frobenius-splitting-numbers-0912.0216</loc><lastmod>2010-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lower-semicontinuity-of-the-frobenius-splitting-numbers-0912.0216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lower-semicontinuity-of-the-frobenius-splitting-numbers-0912.0216"/></url>
<url><loc>https://scifaro.com/en/abs/a-finite-separating-set-for-daigle-and-freudenburg-s-counterexample-to-hilbert-s-fourteenth-problem-0912.0638</loc><lastmod>2011-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-finite-separating-set-for-daigle-and-freudenburg-s-counterexample-to-hilbert-s-fourteenth-problem-0912.0638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-finite-separating-set-for-daigle-and-freudenburg-s-counterexample-to-hilbert-s-fourteenth-problem-0912.0638"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-the-alpha-permanent-0912.1018</loc><lastmod>2014-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-the-alpha-permanent-0912.1018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-the-alpha-permanent-0912.1018"/></url>
<url><loc>https://scifaro.com/en/abs/h-vectors-of-simplicial-complexes-with-serre-s-conditions-0912.1089</loc><lastmod>2009-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/h-vectors-of-simplicial-complexes-with-serre-s-conditions-0912.1089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/h-vectors-of-simplicial-complexes-with-serre-s-conditions-0912.1089"/></url>
<url><loc>https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-0912.1169</loc><lastmod>2010-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-0912.1169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-0912.1169"/></url>
<url><loc>https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-ii-freeness-conditions-for-quadratic-modules-0912.1214</loc><lastmod>2016-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-ii-freeness-conditions-for-quadratic-modules-0912.1214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopical-aspects-of-commutative-algebras-ii-freeness-conditions-for-quadratic-modules-0912.1214"/></url>
<url><loc>https://scifaro.com/en/abs/some-criterions-for-vanishing-of-formal-local-cohomology-modules-0912.1350</loc><lastmod>2010-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-criterions-for-vanishing-of-formal-local-cohomology-modules-0912.1350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-criterions-for-vanishing-of-formal-local-cohomology-modules-0912.1350"/></url>
<url><loc>https://scifaro.com/en/abs/layered-tropical-mathematics-0912.1398</loc><lastmod>2011-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/layered-tropical-mathematics-0912.1398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/layered-tropical-mathematics-0912.1398"/></url>
<url><loc>https://scifaro.com/en/abs/schmitt-vogel-type-lemma-for-reductions-0912.1399</loc><lastmod>2009-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/schmitt-vogel-type-lemma-for-reductions-0912.1399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/schmitt-vogel-type-lemma-for-reductions-0912.1399"/></url>
<url><loc>https://scifaro.com/en/abs/border-bases-and-order-ideals-a-polyhedral-characterization-0912.1502</loc><lastmod>2016-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/border-bases-and-order-ideals-a-polyhedral-characterization-0912.1502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/border-bases-and-order-ideals-a-polyhedral-characterization-0912.1502"/></url>
<url><loc>https://scifaro.com/en/abs/residues-and-duality-for-singularity-categories-of-isolated-gorenstein-singularities-0912.1629</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residues-and-duality-for-singularity-categories-of-isolated-gorenstein-singularities-0912.1629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residues-and-duality-for-singularity-categories-of-isolated-gorenstein-singularities-0912.1629"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-prime-submodules-0912.1757</loc><lastmod>2009-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-prime-submodules-0912.1757"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-prime-submodules-0912.1757"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-cohen-macaulay-squarefree-monomial-ideals-of-height-two-0912.1963</loc><lastmod>2009-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-cohen-macaulay-squarefree-monomial-ideals-of-height-two-0912.1963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-cohen-macaulay-squarefree-monomial-ideals-of-height-two-0912.1963"/></url>
<url><loc>https://scifaro.com/en/abs/stellar-subdivisions-and-stanley-reisner-rings-of-gorenstein-complexes-0912.2151</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stellar-subdivisions-and-stanley-reisner-rings-of-gorenstein-complexes-0912.2151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stellar-subdivisions-and-stanley-reisner-rings-of-gorenstein-complexes-0912.2151"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-stanley-reisner-rings-associated-to-cyclic-polytopes-0912.2152</loc><lastmod>2012-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-stanley-reisner-rings-associated-to-cyclic-polytopes-0912.2152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-stanley-reisner-rings-associated-to-cyclic-polytopes-0912.2152"/></url>
<url><loc>https://scifaro.com/en/abs/test-ideals-via-algebras-of-p-e-linear-maps-0912.2255</loc><lastmod>2013-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-ideals-via-algebras-of-p-e-linear-maps-0912.2255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-ideals-via-algebras-of-p-e-linear-maps-0912.2255"/></url>
<url><loc>https://scifaro.com/en/abs/one-dimensional-rings-of-finite-f-representation-type-0912.2434</loc><lastmod>2010-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-dimensional-rings-of-finite-f-representation-type-0912.2434"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-dimensional-rings-of-finite-f-representation-type-0912.2434"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-cohen-macaulay-bipartite-graphs-0912.2438</loc><lastmod>2009-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-cohen-macaulay-bipartite-graphs-0912.2438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-cohen-macaulay-bipartite-graphs-0912.2438"/></url>
<url><loc>https://scifaro.com/en/abs/singular-factors-of-rational-plane-curves-0912.2723</loc><lastmod>2012-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singular-factors-of-rational-plane-curves-0912.2723"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singular-factors-of-rational-plane-curves-0912.2723"/></url>
<url><loc>https://scifaro.com/en/abs/counting-reducible-powerful-and-relatively-irreducible-multivariate-polynomials-over-finite-fields-0912.3312</loc><lastmod>2013-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-reducible-powerful-and-relatively-irreducible-multivariate-polynomials-over-finite-fields-0912.3312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-reducible-powerful-and-relatively-irreducible-multivariate-polynomials-over-finite-fields-0912.3312"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-bounds-in-graded-rings-0912.3853</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-bounds-in-graded-rings-0912.3853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-bounds-in-graded-rings-0912.3853"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-k-cohen-macaulay-complexes-0912.4097</loc><lastmod>2009-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-k-cohen-macaulay-complexes-0912.4097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-k-cohen-macaulay-complexes-0912.4097"/></url>
<url><loc>https://scifaro.com/en/abs/apery-and-micro-invariants-of-a-one-dimensional-cohen-macaulay-local-ring-and-invariants-of-its-tangent-cone-0912.4651</loc><lastmod>2009-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/apery-and-micro-invariants-of-a-one-dimensional-cohen-macaulay-local-ring-and-invariants-of-its-tangent-cone-0912.4651"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/apery-and-micro-invariants-of-a-one-dimensional-cohen-macaulay-local-ring-and-invariants-of-its-tangent-cone-0912.4651"/></url>
<url><loc>https://scifaro.com/en/abs/new-identities-for-degrees-of-syzygies-in-numerical-semigroups-0912.5192</loc><lastmod>2009-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-identities-for-degrees-of-syzygies-in-numerical-semigroups-0912.5192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-identities-for-degrees-of-syzygies-in-numerical-semigroups-0912.5192"/></url>
<url><loc>https://scifaro.com/en/abs/a-refinement-of-sharply-f-pure-and-strongly-f-regular-pairs-0912.5336</loc><lastmod>2010-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-refinement-of-sharply-f-pure-and-strongly-f-regular-pairs-0912.5336"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-refinement-of-sharply-f-pure-and-strongly-f-regular-pairs-0912.5336"/></url>
<url><loc>https://scifaro.com/en/abs/cubic-rings-and-their-ideals-1001.0230</loc><lastmod>2010-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cubic-rings-and-their-ideals-1001.0230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cubic-rings-and-their-ideals-1001.0230"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-chains-of-prime-ideals-in-an-amalgamated-algebra-along-an-ideal-1001.0472</loc><lastmod>2010-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-chains-of-prime-ideals-in-an-amalgamated-algebra-along-an-ideal-1001.0472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-chains-of-prime-ideals-in-an-amalgamated-algebra-along-an-ideal-1001.0472"/></url>
<url><loc>https://scifaro.com/en/abs/proof-of-the-combinatorial-nullstellensatz-over-integral-domains-in-the-spirit-of-kouba-1001.0548</loc><lastmod>2011-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proof-of-the-combinatorial-nullstellensatz-over-integral-domains-in-the-spirit-of-kouba-1001.0548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proof-of-the-combinatorial-nullstellensatz-over-integral-domains-in-the-spirit-of-kouba-1001.0548"/></url>
<url><loc>https://scifaro.com/en/abs/filtering-free-resolutions-1001.0585</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filtering-free-resolutions-1001.0585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filtering-free-resolutions-1001.0585"/></url>
<url><loc>https://scifaro.com/en/abs/abstract-local-cohomology-functors-1001.0862</loc><lastmod>2010-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-local-cohomology-functors-1001.0862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-local-cohomology-functors-1001.0862"/></url>
<url><loc>https://scifaro.com/en/abs/a-bivariate-preprocessing-paradigm-for-buchberger-m-oller-algorithm-1001.1186</loc><lastmod>2010-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bivariate-preprocessing-paradigm-for-buchberger-m-oller-algorithm-1001.1186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bivariate-preprocessing-paradigm-for-buchberger-m-oller-algorithm-1001.1186"/></url>
<url><loc>https://scifaro.com/en/abs/a-two-dimensional-improvement-for-farr-gao-algorithm-1001.1196</loc><lastmod>2014-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-two-dimensional-improvement-for-farr-gao-algorithm-1001.1196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-two-dimensional-improvement-for-farr-gao-algorithm-1001.1196"/></url>
<url><loc>https://scifaro.com/en/abs/jumping-numbers-and-ordered-tree-structures-on-the-dual-graph-1001.1220</loc><lastmod>2011-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jumping-numbers-and-ordered-tree-structures-on-the-dual-graph-1001.1220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jumping-numbers-and-ordered-tree-structures-on-the-dual-graph-1001.1220"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-methods-for-parameterized-codes-and-invariants-of-vanishing-ideals-over-finite-fields-1001.1448</loc><lastmod>2010-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-methods-for-parameterized-codes-and-invariants-of-vanishing-ideals-over-finite-fields-1001.1448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-methods-for-parameterized-codes-and-invariants-of-vanishing-ideals-over-finite-fields-1001.1448"/></url>
<url><loc>https://scifaro.com/en/abs/essential-and-inessential-elements-of-a-standard-basis-1001.1694</loc><lastmod>2010-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essential-and-inessential-elements-of-a-standard-basis-1001.1694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essential-and-inessential-elements-of-a-standard-basis-1001.1694"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-normal-local-rings-by-p-cyclic-group-actions-1001.1945</loc><lastmod>2013-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-normal-local-rings-by-p-cyclic-group-actions-1001.1945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-normal-local-rings-by-p-cyclic-group-actions-1001.1945"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-of-semidualizing-modules-1001.2632</loc><lastmod>2012-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-of-semidualizing-modules-1001.2632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-of-semidualizing-modules-1001.2632"/></url>
<url><loc>https://scifaro.com/en/abs/face-rings-of-simplicial-complexes-with-singularities-1001.2812</loc><lastmod>2010-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/face-rings-of-simplicial-complexes-with-singularities-1001.2812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/face-rings-of-simplicial-complexes-with-singularities-1001.2812"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-cconjectures-about-the-chern-numbers-of-filtrations-1001.2822</loc><lastmod>2010-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-cconjectures-about-the-chern-numbers-of-filtrations-1001.2822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-cconjectures-about-the-chern-numbers-of-filtrations-1001.2822"/></url>
<url><loc>https://scifaro.com/en/abs/a-property-of-the-frobenius-map-of-a-polynomial-ring-1001.2949</loc><lastmod>2010-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-property-of-the-frobenius-map-of-a-polynomial-ring-1001.2949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-property-of-the-frobenius-map-of-a-polynomial-ring-1001.2949"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-auslander-and-bass-categories-1001.3066</loc><lastmod>2015-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-auslander-and-bass-categories-1001.3066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-auslander-and-bass-categories-1001.3066"/></url>
<url><loc>https://scifaro.com/en/abs/the-linear-space-of-betti-diagrams-of-multigraded-artinian-modules-1001.3235</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-linear-space-of-betti-diagrams-of-multigraded-artinian-modules-1001.3235"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-linear-space-of-betti-diagrams-of-multigraded-artinian-modules-1001.3235"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-of-betti-diagrams-of-bigraded-artinian-modules-of-codimension-two-1001.3238</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-of-betti-diagrams-of-bigraded-artinian-modules-of-codimension-two-1001.3238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-of-betti-diagrams-of-bigraded-artinian-modules-of-codimension-two-1001.3238"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finite-generation-of-additive-group-invariants-in-positive-characteristic-1001.3293</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finite-generation-of-additive-group-invariants-in-positive-characteristic-1001.3293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finite-generation-of-additive-group-invariants-in-positive-characteristic-1001.3293"/></url>
<url><loc>https://scifaro.com/en/abs/a-property-of-local-cohomology-modules-of-polynomial-rings-1001.3363</loc><lastmod>2010-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-property-of-local-cohomology-modules-of-polynomial-rings-1001.3363"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-property-of-local-cohomology-modules-of-polynomial-rings-1001.3363"/></url>
<url><loc>https://scifaro.com/en/abs/partial-elimination-ideals-and-secant-cones-1001.3592</loc><lastmod>2010-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partial-elimination-ideals-and-secant-cones-1001.3592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partial-elimination-ideals-and-secant-cones-1001.3592"/></url>
<url><loc>https://scifaro.com/en/abs/higher-cohen-macaulay-property-of-squarefree-modules-and-simplicial-posets-1001.3601</loc><lastmod>2010-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-cohen-macaulay-property-of-squarefree-modules-and-simplicial-posets-1001.3601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-cohen-macaulay-property-of-squarefree-modules-and-simplicial-posets-1001.3601"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-of-projective-schemes-1001.3662</loc><lastmod>2011-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-projective-schemes-1001.3662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-projective-schemes-1001.3662"/></url>
<url><loc>https://scifaro.com/en/abs/bipartite-s-2-graphs-are-cohen-macaulay-1001.3752</loc><lastmod>2010-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bipartite-s-2-graphs-are-cohen-macaulay-1001.3752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bipartite-s-2-graphs-are-cohen-macaulay-1001.3752"/></url>
<url><loc>https://scifaro.com/en/abs/brill-noether-theory-of-squarefree-modules-supported-on-a-graph-1001.4375</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/brill-noether-theory-of-squarefree-modules-supported-on-a-graph-1001.4375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/brill-noether-theory-of-squarefree-modules-supported-on-a-graph-1001.4375"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimensions-of-the-edge-ideals-of-forests-1001.5179</loc><lastmod>2010-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimensions-of-the-edge-ideals-of-forests-1001.5179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimensions-of-the-edge-ideals-of-forests-1001.5179"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-separating-invariants-1001.5216</loc><lastmod>2014-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-separating-invariants-1001.5216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-separating-invariants-1001.5216"/></url>
<url><loc>https://scifaro.com/en/abs/star-invertibility-and-t-finite-character-in-integral-domains-1001.5220</loc><lastmod>2010-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-invertibility-and-t-finite-character-in-integral-domains-1001.5220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-invertibility-and-t-finite-character-in-integral-domains-1001.5220"/></url>
<url><loc>https://scifaro.com/en/abs/flat-ideals-and-stability-in-integral-domains-1001.5224</loc><lastmod>2010-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-ideals-and-stability-in-integral-domains-1001.5224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-ideals-and-stability-in-integral-domains-1001.5224"/></url>
<url><loc>https://scifaro.com/en/abs/rings-whose-total-graphs-have-genus-at-most-one-1001.5338</loc><lastmod>2010-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-whose-total-graphs-have-genus-at-most-one-1001.5338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-whose-total-graphs-have-genus-at-most-one-1001.5338"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-herzog-northcott-type-1001.5397</loc><lastmod>2010-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-herzog-northcott-type-1001.5397"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-herzog-northcott-type-1001.5397"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-1002.0137</loc><lastmod>2012-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-1002.0137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-1002.0137"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-versus-the-vanishing-of-the-first-hilbert-coefficient-of-parameter-ideals-1002.0391</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-versus-the-vanishing-of-the-first-hilbert-coefficient-of-parameter-ideals-1002.0391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-versus-the-vanishing-of-the-first-hilbert-coefficient-of-parameter-ideals-1002.0391"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-totally-reflexive-modules-from-an-exact-pair-of-zero-divisors-1002.0419</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-totally-reflexive-modules-from-an-exact-pair-of-zero-divisors-1002.0419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-totally-reflexive-modules-from-an-exact-pair-of-zero-divisors-1002.0419"/></url>
<url><loc>https://scifaro.com/en/abs/contravariantly-finite-resolving-subcategories-over-commutative-rings-1002.0522</loc><lastmod>2010-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contravariantly-finite-resolving-subcategories-over-commutative-rings-1002.0522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contravariantly-finite-resolving-subcategories-over-commutative-rings-1002.0522"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-depth-of-powers-of-the-maximal-ideal-1002.1400</loc><lastmod>2011-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-depth-of-powers-of-the-maximal-ideal-1002.1400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-depth-of-powers-of-the-maximal-ideal-1002.1400"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-flat-dimension-of-complexes-1002.1753</loc><lastmod>2010-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-flat-dimension-of-complexes-1002.1753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-flat-dimension-of-complexes-1002.1753"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisors-of-semigroup-modules-1002.1869</loc><lastmod>2018-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisors-of-semigroup-modules-1002.1869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisors-of-semigroup-modules-1002.1869"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-generators-of-toric-ideals-of-graphs-1002.2045</loc><lastmod>2010-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-generators-of-toric-ideals-of-graphs-1002.2045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-generators-of-toric-ideals-of-graphs-1002.2045"/></url>
<url><loc>https://scifaro.com/en/abs/linear-equations-for-the-number-of-intervals-which-are-isomorphic-with-boolean-lattices-and-the-dehn-sommerville-equations-1002.2049</loc><lastmod>2016-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-equations-for-the-number-of-intervals-which-are-isomorphic-with-boolean-lattices-and-the-dehn-sommerville-equations-1002.2049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-equations-for-the-number-of-intervals-which-are-isomorphic-with-boolean-lattices-and-the-dehn-sommerville-equations-1002.2049"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-an-boldsymbol-e-a-b-not-boldsymbol-a-b-star-operation-1002.2388</loc><lastmod>2010-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-an-boldsymbol-e-a-b-not-boldsymbol-a-b-star-operation-1002.2388"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-properties-in-ideal-systems-an-boldsymbol-e-a-b-not-boldsymbol-a-b-star-operation-1002.2388"/></url>
<url><loc>https://scifaro.com/en/abs/reductions-and-special-parts-of-closures-1002.2703</loc><lastmod>2010-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reductions-and-special-parts-of-closures-1002.2703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reductions-and-special-parts-of-closures-1002.2703"/></url>
<url><loc>https://scifaro.com/en/abs/the-symmetric-algebra-for-certain-monomial-curves-1002.3439</loc><lastmod>2011-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symmetric-algebra-for-certain-monomial-curves-1002.3439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symmetric-algebra-for-certain-monomial-curves-1002.3439"/></url>
<url><loc>https://scifaro.com/en/abs/the-invariants-of-the-second-symmetric-power-representation-of-sl-2-f-q-1002.4318</loc><lastmod>2010-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-invariants-of-the-second-symmetric-power-representation-of-sl-2-f-q-1002.4318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-invariants-of-the-second-symmetric-power-representation-of-sl-2-f-q-1002.4318"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-complete-intersections-the-weak-lefschetz-property-and-plane-partitions-1002.4400</loc><lastmod>2010-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-complete-intersections-the-weak-lefschetz-property-and-plane-partitions-1002.4400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-complete-intersections-the-weak-lefschetz-property-and-plane-partitions-1002.4400"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-canonical-module-of-toric-surfaces-in-p-4-1002.4463</loc><lastmod>2010-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-canonical-module-of-toric-surfaces-in-p-4-1002.4463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-canonical-module-of-toric-surfaces-in-p-4-1002.4463"/></url>
<url><loc>https://scifaro.com/en/abs/homology-mixed-multiplicities-and-fiber-cone-1002.4465</loc><lastmod>2010-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-mixed-multiplicities-and-fiber-cone-1002.4465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-mixed-multiplicities-and-fiber-cone-1002.4465"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-blow-up-rings-of-ideals-of-minimal-mixed-multiplicity-1002.4466</loc><lastmod>2010-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-blow-up-rings-of-ideals-of-minimal-mixed-multiplicity-1002.4466"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-blow-up-rings-of-ideals-of-minimal-mixed-multiplicity-1002.4466"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-graph-homomorphisms-1002.4679</loc><lastmod>2011-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-graph-homomorphisms-1002.4679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-graph-homomorphisms-1002.4679"/></url>
<url><loc>https://scifaro.com/en/abs/a-graphical-representation-of-rings-via-automorphism-groups-1003.0174</loc><lastmod>2010-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-graphical-representation-of-rings-via-automorphism-groups-1003.0174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-graphical-representation-of-rings-via-automorphism-groups-1003.0174"/></url>
<url><loc>https://scifaro.com/en/abs/almost-cohen-macaulay-and-almost-regular-algebras-via-almost-flat-extensions-1003.0265</loc><lastmod>2012-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-cohen-macaulay-and-almost-regular-algebras-via-almost-flat-extensions-1003.0265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-cohen-macaulay-and-almost-regular-algebras-via-almost-flat-extensions-1003.0265"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-function-of-a-parameter-module-1003.0526</loc><lastmod>2010-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-function-of-a-parameter-module-1003.0526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-buchsbaum-rim-function-of-a-parameter-module-1003.0526"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-whose-first-two-betti-numbers-are-close-1003.0544</loc><lastmod>2010-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-whose-first-two-betti-numbers-are-close-1003.0544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-whose-first-two-betti-numbers-are-close-1003.0544"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-for-certain-monomial-curves-1003.0775</loc><lastmod>2011-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-for-certain-monomial-curves-1003.0775"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-for-certain-monomial-curves-1003.0775"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-weak-lefschetz-property-of-monomial-complete-intersections-in-positive-characteristic-1003.0824</loc><lastmod>2010-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-weak-lefschetz-property-of-monomial-complete-intersections-in-positive-characteristic-1003.0824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-weak-lefschetz-property-of-monomial-complete-intersections-in-positive-characteristic-1003.0824"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-semirings-and-supervaluations-1003.1101</loc><lastmod>2010-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-semirings-and-supervaluations-1003.1101"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-semirings-and-supervaluations-1003.1101"/></url>
<url><loc>https://scifaro.com/en/abs/singular-points-of-affine-ml-surfaces-1003.1551</loc><lastmod>2010-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singular-points-of-affine-ml-surfaces-1003.1551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singular-points-of-affine-ml-surfaces-1003.1551"/></url>
<url><loc>https://scifaro.com/en/abs/w-jaffard-domains-in-pullbacks-1003.1565</loc><lastmod>2011-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/w-jaffard-domains-in-pullbacks-1003.1565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/w-jaffard-domains-in-pullbacks-1003.1565"/></url>
<url><loc>https://scifaro.com/en/abs/a-remark-on-the-convolution-with-box-splines-1003.1574</loc><lastmod>2010-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-remark-on-the-convolution-with-box-splines-1003.1574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-remark-on-the-convolution-with-box-splines-1003.1574"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-canonical-decompositions-of-binomial-ideals-1003.1701</loc><lastmod>2010-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-canonical-decompositions-of-binomial-ideals-1003.1701"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-canonical-decompositions-of-binomial-ideals-1003.1701"/></url>
<url><loc>https://scifaro.com/en/abs/an-axiomatic-setup-for-algorithmic-homological-algebra-and-an-alternative-approach-to-localization-1003.1943</loc><lastmod>2017-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-axiomatic-setup-for-algorithmic-homological-algebra-and-an-alternative-approach-to-localization-1003.1943"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-axiomatic-setup-for-algorithmic-homological-algebra-and-an-alternative-approach-to-localization-1003.1943"/></url>
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<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-monomial-ideals-and-symbolic-powers-of-stanley-reisner-ideals-1003.2152</loc><lastmod>2011-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-monomial-ideals-and-symbolic-powers-of-stanley-reisner-ideals-1003.2152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-monomial-ideals-and-symbolic-powers-of-stanley-reisner-ideals-1003.2152"/></url>
<url><loc>https://scifaro.com/en/abs/bivariate-quasi-tower-sets-and-their-associated-lagrange-interpolation-bases-1003.2493</loc><lastmod>2010-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bivariate-quasi-tower-sets-and-their-associated-lagrange-interpolation-bases-1003.2493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bivariate-quasi-tower-sets-and-their-associated-lagrange-interpolation-bases-1003.2493"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-and-matroids-1003.2912</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-and-matroids-1003.2912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-and-matroids-1003.2912"/></url>
<url><loc>https://scifaro.com/en/abs/segments-and-hilbert-schemes-of-points-1003.2951</loc><lastmod>2010-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/segments-and-hilbert-schemes-of-points-1003.2951"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/segments-and-hilbert-schemes-of-points-1003.2951"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-coherent-rings-1003.3040</loc><lastmod>2010-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-coherent-rings-1003.3040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-coherent-rings-1003.3040"/></url>
<url><loc>https://scifaro.com/en/abs/what-is-a-system-of-parameters-1003.3046</loc><lastmod>2010-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/what-is-a-system-of-parameters-1003.3046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/what-is-a-system-of-parameters-1003.3046"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-the-stanley-depth-1003.3471</loc><lastmod>2010-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-the-stanley-depth-1003.3471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-the-stanley-depth-1003.3471"/></url>
<url><loc>https://scifaro.com/en/abs/independent-sets-from-an-algebraic-perspective-1003.3508</loc><lastmod>2011-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/independent-sets-from-an-algebraic-perspective-1003.3508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/independent-sets-from-an-algebraic-perspective-1003.3508"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-new-invariant-of-finitely-generated-modules-over-local-rings-1003.3972</loc><lastmod>2010-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-new-invariant-of-finitely-generated-modules-over-local-rings-1003.3972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-new-invariant-of-finitely-generated-modules-over-local-rings-1003.3972"/></url>
<url><loc>https://scifaro.com/en/abs/on-pseudo-supports-and-non-cohen-macaulay-locus-of-finitely-generated-modules-1003.3974</loc><lastmod>2010-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pseudo-supports-and-non-cohen-macaulay-locus-of-finitely-generated-modules-1003.3974"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pseudo-supports-and-non-cohen-macaulay-locus-of-finitely-generated-modules-1003.3974"/></url>
<url><loc>https://scifaro.com/en/abs/alexander-duality-and-stanley-depth-of-multigraded-modules-1003.4008</loc><lastmod>2011-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duality-and-stanley-depth-of-multigraded-modules-1003.4008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duality-and-stanley-depth-of-multigraded-modules-1003.4008"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-the-local-criterion-of-flatness-1003.4009</loc><lastmod>2010-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-local-criterion-of-flatness-1003.4009"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-local-criterion-of-flatness-1003.4009"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-syzygies-and-stanley-depth-1003.4495</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-syzygies-and-stanley-depth-1003.4495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-syzygies-and-stanley-depth-1003.4495"/></url>
<url><loc>https://scifaro.com/en/abs/cohomology-over-complete-intersections-via-exterior-algebras-1003.5398</loc><lastmod>2010-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomology-over-complete-intersections-via-exterior-algebras-1003.5398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomology-over-complete-intersections-via-exterior-algebras-1003.5398"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-like-conditions-in-the-amalgamated-duplication-of-a-ring-along-an-ideal-1003.5507</loc><lastmod>2010-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-in-the-amalgamated-duplication-of-a-ring-along-an-ideal-1003.5507"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-in-the-amalgamated-duplication-of-a-ring-along-an-ideal-1003.5507"/></url>
<url><loc>https://scifaro.com/en/abs/a-classification-of-artin-schreier-defect-extensions-and-a-characterization-of-defectless-fields-1003.5639</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-classification-of-artin-schreier-defect-extensions-and-a-characterization-of-defectless-fields-1003.5639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-classification-of-artin-schreier-defect-extensions-and-a-characterization-of-defectless-fields-1003.5639"/></url>
<url><loc>https://scifaro.com/en/abs/approximation-of-elements-in-henselizations-1003.5674</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/approximation-of-elements-in-henselizations-1003.5674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/approximation-of-elements-in-henselizations-1003.5674"/></url>
<url><loc>https://scifaro.com/en/abs/maps-on-ultrametric-spaces-hensel-s-lemma-and-differential-equations-over-valued-fields-1003.5677</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maps-on-ultrametric-spaces-hensel-s-lemma-and-differential-equations-over-valued-fields-1003.5677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maps-on-ultrametric-spaces-hensel-s-lemma-and-differential-equations-over-valued-fields-1003.5677"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-of-ramification-i-the-generalized-stability-theorem-1003.5678</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-of-ramification-i-the-generalized-stability-theorem-1003.5678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-of-ramification-i-the-generalized-stability-theorem-1003.5678"/></url>
<url><loc>https://scifaro.com/en/abs/dense-subfields-of-henselian-fields-and-integer-parts-1003.5681</loc><lastmod>2010-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dense-subfields-of-henselian-fields-and-integer-parts-1003.5681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dense-subfields-of-henselian-fields-and-integer-parts-1003.5681"/></url>
<url><loc>https://scifaro.com/en/abs/additive-polynomials-and-their-role-in-the-model-theory-of-valued-fields-1003.5683</loc><lastmod>2010-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/additive-polynomials-and-their-role-in-the-model-theory-of-valued-fields-1003.5683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/additive-polynomials-and-their-role-in-the-model-theory-of-valued-fields-1003.5683"/></url>
<url><loc>https://scifaro.com/en/abs/value-groups-residue-fields-and-bad-places-of-rational-function-fields-1003.5685</loc><lastmod>2010-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/value-groups-residue-fields-and-bad-places-of-rational-function-fields-1003.5685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/value-groups-residue-fields-and-bad-places-of-rational-function-fields-1003.5685"/></url>
<url><loc>https://scifaro.com/en/abs/places-of-algebraic-function-fields-in-arbitrary-characteristic-1003.5686</loc><lastmod>2010-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/places-of-algebraic-function-fields-in-arbitrary-characteristic-1003.5686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/places-of-algebraic-function-fields-in-arbitrary-characteristic-1003.5686"/></url>
<url><loc>https://scifaro.com/en/abs/a-correction-to-epp-s-paper-elimination-of-wild-ramification-1003.5687</loc><lastmod>2015-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-correction-to-epp-s-paper-elimination-of-wild-ramification-1003.5687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-correction-to-epp-s-paper-elimination-of-wild-ramification-1003.5687"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-theoretic-and-model-theoretic-aspects-of-local-uniformization-1003.5689</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-theoretic-and-model-theoretic-aspects-of-local-uniformization-1003.5689"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-theoretic-and-model-theoretic-aspects-of-local-uniformization-1003.5689"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-1004.0143</loc><lastmod>2011-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-1004.0143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-1004.0143"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-h-vectors-of-cohen-macaulay-flag-complexes-1004.0170</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-h-vectors-of-cohen-macaulay-flag-complexes-1004.0170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-h-vectors-of-cohen-macaulay-flag-complexes-1004.0170"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-ext-functors-for-modules-of-finite-complete-intersection-dimension-1004.0294</loc><lastmod>2016-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-ext-functors-for-modules-of-finite-complete-intersection-dimension-1004.0294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-ext-functors-for-modules-of-finite-complete-intersection-dimension-1004.0294"/></url>
<url><loc>https://scifaro.com/en/abs/picard-groups-of-punctured-spectra-of-dimension-three-local-hypersurfaces-are-torsion-free-1004.0471</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/picard-groups-of-punctured-spectra-of-dimension-three-local-hypersurfaces-are-torsion-free-1004.0471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/picard-groups-of-punctured-spectra-of-dimension-three-local-hypersurfaces-are-torsion-free-1004.0471"/></url>
<url><loc>https://scifaro.com/en/abs/images-of-locally-finite-derivations-of-polynomial-algebras-in-two-variables-1004.0521</loc><lastmod>2022-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/images-of-locally-finite-derivations-of-polynomial-algebras-in-two-variables-1004.0521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/images-of-locally-finite-derivations-of-polynomial-algebras-in-two-variables-1004.0521"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-resolutions-of-cointerval-ideals-1004.0713</loc><lastmod>2010-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-of-cointerval-ideals-1004.0713"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-of-cointerval-ideals-1004.0713"/></url>
<url><loc>https://scifaro.com/en/abs/the-nilpotence-degree-of-torsion-elements-in-lambda-rings-1004.0829</loc><lastmod>2010-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-nilpotence-degree-of-torsion-elements-in-lambda-rings-1004.0829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-nilpotence-degree-of-torsion-elements-in-lambda-rings-1004.0829"/></url>
<url><loc>https://scifaro.com/en/abs/lambda-conductors-for-group-rings-1004.0833</loc><lastmod>2010-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lambda-conductors-for-group-rings-1004.0833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lambda-conductors-for-group-rings-1004.0833"/></url>
<url><loc>https://scifaro.com/en/abs/equality-of-graver-bases-and-universal-gr-obner-bases-of-colored-partition-identities-1004.0840</loc><lastmod>2013-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equality-of-graver-bases-and-universal-gr-obner-bases-of-colored-partition-identities-1004.0840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equality-of-graver-bases-and-universal-gr-obner-bases-of-colored-partition-identities-1004.0840"/></url>
<url><loc>https://scifaro.com/en/abs/the-geometry-of-border-bases-1004.1044</loc><lastmod>2010-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-geometry-of-border-bases-1004.1044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-geometry-of-border-bases-1004.1044"/></url>
<url><loc>https://scifaro.com/en/abs/on-evolution-algebras-1004.1050</loc><lastmod>2010-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-evolution-algebras-1004.1050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-evolution-algebras-1004.1050"/></url>
<url><loc>https://scifaro.com/en/abs/grade-of-ideals-with-respect-to-torsion-theories-1004.1359</loc><lastmod>2012-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/grade-of-ideals-with-respect-to-torsion-theories-1004.1359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/grade-of-ideals-with-respect-to-torsion-theories-1004.1359"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-discreteness-of-f-jumping-numbers-1004.1377</loc><lastmod>2011-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-discreteness-of-f-jumping-numbers-1004.1377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-discreteness-of-f-jumping-numbers-1004.1377"/></url>
<url><loc>https://scifaro.com/en/abs/the-derivations-of-some-evolution-algebras-1004.1936</loc><lastmod>2018-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-derivations-of-some-evolution-algebras-1004.1936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-derivations-of-some-evolution-algebras-1004.1936"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-of-evolution-algebras-1004.1987</loc><lastmod>2018-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-of-evolution-algebras-1004.1987"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-of-evolution-algebras-1004.1987"/></url>
<url><loc>https://scifaro.com/en/abs/the-defect-1004.2135</loc><lastmod>2013-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-defect-1004.2135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-defect-1004.2135"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-s-r-simplicial-complexes-and-sequentially-s-2-graphs-1004.3376</loc><lastmod>2010-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-s-r-simplicial-complexes-and-sequentially-s-2-graphs-1004.3376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-s-r-simplicial-complexes-and-sequentially-s-2-graphs-1004.3376"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-bilinear-structure-associated-to-bezoutians-1004.4208</loc><lastmod>2013-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-bilinear-structure-associated-to-bezoutians-1004.4208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-bilinear-structure-associated-to-bezoutians-1004.4208"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-a-conjecture-of-watanabe-and-yoshida-1004.4224</loc><lastmod>2010-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-a-conjecture-of-watanabe-and-yoshida-1004.4224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-a-conjecture-of-watanabe-and-yoshida-1004.4224"/></url>
<url><loc>https://scifaro.com/en/abs/a-characteristic-free-proof-of-a-basic-result-on-d-modules-1004.4225</loc><lastmod>2010-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characteristic-free-proof-of-a-basic-result-on-d-modules-1004.4225"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characteristic-free-proof-of-a-basic-result-on-d-modules-1004.4225"/></url>
<url><loc>https://scifaro.com/en/abs/an-overring-theoretic-approach-to-polynomial-extensions-of-star-and-semistar-operations-1004.4369</loc><lastmod>2010-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-overring-theoretic-approach-to-polynomial-extensions-of-star-and-semistar-operations-1004.4369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-overring-theoretic-approach-to-polynomial-extensions-of-star-and-semistar-operations-1004.4369"/></url>
<url><loc>https://scifaro.com/en/abs/koszulness-krull-dimension-and-other-properties-of-graph-related-algebras-1004.4980</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszulness-krull-dimension-and-other-properties-of-graph-related-algebras-1004.4980"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszulness-krull-dimension-and-other-properties-of-graph-related-algebras-1004.4980"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-multigraded-modules-of-generic-type-1004.5472</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-multigraded-modules-of-generic-type-1004.5472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-multigraded-modules-of-generic-type-1004.5472"/></url>
<url><loc>https://scifaro.com/en/abs/topological-constructions-for-multigraded-squarefree-module-1004.5476</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-constructions-for-multigraded-squarefree-module-1004.5476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-constructions-for-multigraded-squarefree-module-1004.5476"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-graded-ring-of-a-semigroup-ring-1004.5481</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-graded-ring-of-a-semigroup-ring-1004.5481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-graded-ring-of-a-semigroup-ring-1004.5481"/></url>
<url><loc>https://scifaro.com/en/abs/negativity-conjecture-for-the-first-hilbert-coefficient-1005.0105</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/negativity-conjecture-for-the-first-hilbert-coefficient-1005.0105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/negativity-conjecture-for-the-first-hilbert-coefficient-1005.0105"/></url>
<url><loc>https://scifaro.com/en/abs/short-koszul-modules-1005.0325</loc><lastmod>2010-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/short-koszul-modules-1005.0325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/short-koszul-modules-1005.0325"/></url>
<url><loc>https://scifaro.com/en/abs/the-stratum-of-a-strongly-stable-ideal-1005.0457</loc><lastmod>2010-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stratum-of-a-strongly-stable-ideal-1005.0457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stratum-of-a-strongly-stable-ideal-1005.0457"/></url>
<url><loc>https://scifaro.com/en/abs/locally-nilpotent-module-derivations-and-the-fourteenth-problem-of-hilbert-1005.0887</loc><lastmod>2010-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-nilpotent-module-derivations-and-the-fourteenth-problem-of-hilbert-1005.0887"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-nilpotent-module-derivations-and-the-fourteenth-problem-of-hilbert-1005.0887"/></url>
<url><loc>https://scifaro.com/en/abs/composition-collisions-and-projective-polynomials-1005.1087</loc><lastmod>2010-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/composition-collisions-and-projective-polynomials-1005.1087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/composition-collisions-and-projective-polynomials-1005.1087"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-unmixed-bipartite-graphs-1005.1256</loc><lastmod>2010-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-unmixed-bipartite-graphs-1005.1256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-vertex-cover-algebras-of-unmixed-bipartite-graphs-1005.1256"/></url>
<url><loc>https://scifaro.com/en/abs/connected-sums-of-gorenstein-local-rings-1005.1304</loc><lastmod>2011-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connected-sums-of-gorenstein-local-rings-1005.1304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connected-sums-of-gorenstein-local-rings-1005.1304"/></url>
<url><loc>https://scifaro.com/en/abs/three-standardness-of-the-maximal-ideal-1005.1310</loc><lastmod>2011-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-standardness-of-the-maximal-ideal-1005.1310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-standardness-of-the-maximal-ideal-1005.1310"/></url>
<url><loc>https://scifaro.com/en/abs/homological-aspects-of-perfect-algebras-1005.1462</loc><lastmod>2017-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-aspects-of-perfect-algebras-1005.1462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-aspects-of-perfect-algebras-1005.1462"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-and-deformations-of-gorenstein-local-algebras-with-low-socle-degree-1005.1677</loc><lastmod>2010-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-and-deformations-of-gorenstein-local-algebras-with-low-socle-degree-1005.1677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-and-deformations-of-gorenstein-local-algebras-with-low-socle-degree-1005.1677"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-properties-of-dual-bass-numbers-1005.1754</loc><lastmod>2013-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-properties-of-dual-bass-numbers-1005.1754"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-properties-of-dual-bass-numbers-1005.1754"/></url>
<url><loc>https://scifaro.com/en/abs/the-arithmetical-rank-of-a-special-class-of-monomial-ideals-1005.2586</loc><lastmod>2010-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-a-special-class-of-monomial-ideals-1005.2586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-a-special-class-of-monomial-ideals-1005.2586"/></url>
<url><loc>https://scifaro.com/en/abs/a-gluing-construction-for-polynomial-invariants-1005.2973</loc><lastmod>2011-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gluing-construction-for-polynomial-invariants-1005.2973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gluing-construction-for-polynomial-invariants-1005.2973"/></url>
<url><loc>https://scifaro.com/en/abs/almost-cohen-macaulay-algebras-in-mixed-characteristic-via-fontaine-rings-1005.3275</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-cohen-macaulay-algebras-in-mixed-characteristic-via-fontaine-rings-1005.3275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-cohen-macaulay-algebras-in-mixed-characteristic-via-fontaine-rings-1005.3275"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-ideals-with-few-generators-in-low-degree-and-large-projective-dimension-1005.3361</loc><lastmod>2010-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-ideals-with-few-generators-in-low-degree-and-large-projective-dimension-1005.3361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-ideals-with-few-generators-in-low-degree-and-large-projective-dimension-1005.3361"/></url>
<url><loc>https://scifaro.com/en/abs/on-integer-radii-coin-representations-of-the-wheel-graph-1005.3515</loc><lastmod>2010-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-integer-radii-coin-representations-of-the-wheel-graph-1005.3515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-integer-radii-coin-representations-of-the-wheel-graph-1005.3515"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-decompositions-in-localized-polynomial-rings-1005.4254</loc><lastmod>2010-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-decompositions-in-localized-polynomial-rings-1005.4254"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-decompositions-in-localized-polynomial-rings-1005.4254"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-toric-ideals-of-graphs-1005.4278</loc><lastmod>2010-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-toric-ideals-of-graphs-1005.4278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-universal-gr-obner-bases-of-toric-ideals-of-graphs-1005.4278"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-regularity-of-products-1005.4638</loc><lastmod>2025-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-regularity-of-products-1005.4638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-regularity-of-products-1005.4638"/></url>
<url><loc>https://scifaro.com/en/abs/exponents-of-2-multiarrangements-and-freeness-of-3-arrangements-1005.5276</loc><lastmod>2010-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/exponents-of-2-multiarrangements-and-freeness-of-3-arrangements-1005.5276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/exponents-of-2-multiarrangements-and-freeness-of-3-arrangements-1005.5276"/></url>
<url><loc>https://scifaro.com/en/abs/separators-of-arithmetically-cohen-macaulay-fat-points-in-p-1-x-p-1-1005.5280</loc><lastmod>2011-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separators-of-arithmetically-cohen-macaulay-fat-points-in-p-1-x-p-1-1005.5280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separators-of-arithmetically-cohen-macaulay-fat-points-in-p-1-x-p-1-1005.5280"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-ext-cluster-tilting-modules-and-finite-global-dimension-of-endomorphism-rings-1005.5359</loc><lastmod>2010-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-ext-cluster-tilting-modules-and-finite-global-dimension-of-endomorphism-rings-1005.5359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-ext-cluster-tilting-modules-and-finite-global-dimension-of-endomorphism-rings-1005.5359"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-extremal-valued-fields-1005.5523</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-extremal-valued-fields-1005.5523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-extremal-valued-fields-1005.5523"/></url>
<url><loc>https://scifaro.com/en/abs/parallelization-of-modular-algorithms-1005.5663</loc><lastmod>2011-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parallelization-of-modular-algorithms-1005.5663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parallelization-of-modular-algorithms-1005.5663"/></url>
<url><loc>https://scifaro.com/en/abs/the-invariants-of-the-third-symmetric-power-representation-of-sl-2-f-p-1006.0116</loc><lastmod>2010-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-invariants-of-the-third-symmetric-power-representation-of-sl-2-f-p-1006.0116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-invariants-of-the-third-symmetric-power-representation-of-sl-2-f-p-1006.0116"/></url>
<url><loc>https://scifaro.com/en/abs/amalgamation-of-rings-defined-by-b-ezout-like-conditions-1006.0159</loc><lastmod>2010-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/amalgamation-of-rings-defined-by-b-ezout-like-conditions-1006.0159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/amalgamation-of-rings-defined-by-b-ezout-like-conditions-1006.0159"/></url>
<url><loc>https://scifaro.com/en/abs/modifying-faug-ere-s-f5-algorithm-to-ensure-termination-1006.0318</loc><lastmod>2012-02-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modifying-faug-ere-s-f5-algorithm-to-ensure-termination-1006.0318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modifying-faug-ere-s-f5-algorithm-to-ensure-termination-1006.0318"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-cohomology-over-cohen-macaulay-rings-1006.1006</loc><lastmod>2012-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-cohomology-over-cohen-macaulay-rings-1006.1006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-cohomology-over-cohen-macaulay-rings-1006.1006"/></url>
<url><loc>https://scifaro.com/en/abs/vertex-decomposability-and-regularity-of-very-well-covered-graphs-1006.1087</loc><lastmod>2010-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vertex-decomposability-and-regularity-of-very-well-covered-graphs-1006.1087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vertex-decomposability-and-regularity-of-very-well-covered-graphs-1006.1087"/></url>
<url><loc>https://scifaro.com/en/abs/borel-generators-1006.1436</loc><lastmod>2010-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/borel-generators-1006.1436"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/borel-generators-1006.1436"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-canonical-and-deficiency-modules-for-monomial-ideals-1006.1444</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-canonical-and-deficiency-modules-for-monomial-ideals-1006.1444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-canonical-and-deficiency-modules-for-monomial-ideals-1006.1444"/></url>
<url><loc>https://scifaro.com/en/abs/f4-algorithm-for-euclidean-rings-1006.1456</loc><lastmod>2010-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f4-algorithm-for-euclidean-rings-1006.1456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f4-algorithm-for-euclidean-rings-1006.1456"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-decomposable-semigroups-and-applications-1006.2557</loc><lastmod>2013-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-decomposable-semigroups-and-applications-1006.2557"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-decomposable-semigroups-and-applications-1006.2557"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-notion-of-galois-closure-for-extensions-of-rings-1006.2562</loc><lastmod>2012-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-notion-of-galois-closure-for-extensions-of-rings-1006.2562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-notion-of-galois-closure-for-extensions-of-rings-1006.2562"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-monomial-subrings-and-linear-optimization-problems-1006.2774</loc><lastmod>2010-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-monomial-subrings-and-linear-optimization-problems-1006.2774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-monomial-subrings-and-linear-optimization-problems-1006.2774"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-1006.2947</loc><lastmod>2010-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-1006.2947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-1006.2947"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-euler-class-groups-1006.2952</loc><lastmod>2010-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-euler-class-groups-1006.2952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-euler-class-groups-1006.2952"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-ideals-cogenerated-by-pfaffians-1006.3219</loc><lastmod>2010-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-ideals-cogenerated-by-pfaffians-1006.3219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-ideals-cogenerated-by-pfaffians-1006.3219"/></url>
<url><loc>https://scifaro.com/en/abs/oracle-supported-drawing-of-the-groebner-em-escalier-1006.3297</loc><lastmod>2010-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/oracle-supported-drawing-of-the-groebner-em-escalier-1006.3297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/oracle-supported-drawing-of-the-groebner-em-escalier-1006.3297"/></url>
<url><loc>https://scifaro.com/en/abs/m-irreducible-numerical-semigroups-1006.3493</loc><lastmod>2010-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/m-irreducible-numerical-semigroups-1006.3493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/m-irreducible-numerical-semigroups-1006.3493"/></url>
<url><loc>https://scifaro.com/en/abs/initial-complex-associated-to-a-jet-scheme-of-a-determinantal-variety-1006.3883</loc><lastmod>2010-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initial-complex-associated-to-a-jet-scheme-of-a-determinantal-variety-1006.3883"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initial-complex-associated-to-a-jet-scheme-of-a-determinantal-variety-1006.3883"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-over-laurent-polynomial-rings-1006.4153</loc><lastmod>2011-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-over-laurent-polynomial-rings-1006.4153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-over-laurent-polynomial-rings-1006.4153"/></url>
<url><loc>https://scifaro.com/en/abs/semigroup-theoretical-characterizations-of-arithmetical-invariants-with-applications-to-numerical-monoids-and-krull-monoids-1006.4222</loc><lastmod>2010-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semigroup-theoretical-characterizations-of-arithmetical-invariants-with-applications-to-numerical-monoids-and-krull-monoids-1006.4222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semigroup-theoretical-characterizations-of-arithmetical-invariants-with-applications-to-numerical-monoids-and-krull-monoids-1006.4222"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisors-of-content-algebras-1006.4290</loc><lastmod>2016-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisors-of-content-algebras-1006.4290"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisors-of-content-algebras-1006.4290"/></url>
<url><loc>https://scifaro.com/en/abs/level-algebras-through-buchsbaum-manifolds-1006.4393</loc><lastmod>2010-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/level-algebras-through-buchsbaum-manifolds-1006.4393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/level-algebras-through-buchsbaum-manifolds-1006.4393"/></url>
<url><loc>https://scifaro.com/en/abs/indices-of-normalization-of-ideals-1006.4560</loc><lastmod>2010-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indices-of-normalization-of-ideals-1006.4560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indices-of-normalization-of-ideals-1006.4560"/></url>
<url><loc>https://scifaro.com/en/abs/some-complete-intersection-symplectic-quotients-in-positive-characteristic-invariants-of-a-vector-and-a-covector-1006.4762</loc><lastmod>2011-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-complete-intersection-symplectic-quotients-in-positive-characteristic-invariants-of-a-vector-and-a-covector-1006.4762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-complete-intersection-symplectic-quotients-in-positive-characteristic-invariants-of-a-vector-and-a-covector-1006.4762"/></url>
<url><loc>https://scifaro.com/en/abs/f4-5-1006.4933</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f4-5-1006.4933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f4-5-1006.4933"/></url>
<url><loc>https://scifaro.com/en/abs/a-network-of-rational-curves-on-the-hilbert-scheme-1006.5020</loc><lastmod>2010-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-network-of-rational-curves-on-the-hilbert-scheme-1006.5020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-network-of-rational-curves-on-the-hilbert-scheme-1006.5020"/></url>
<url><loc>https://scifaro.com/en/abs/natural-cohen-macaulayfication-of-simplicial-affine-semigroup-rings-1006.5670</loc><lastmod>2011-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/natural-cohen-macaulayfication-of-simplicial-affine-semigroup-rings-1006.5670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/natural-cohen-macaulayfication-of-simplicial-affine-semigroup-rings-1006.5670"/></url>
<url><loc>https://scifaro.com/en/abs/foxby-equivalence-local-duality-and-gorenstein-homological-dimensions-1006.5770</loc><lastmod>2012-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/foxby-equivalence-local-duality-and-gorenstein-homological-dimensions-1006.5770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/foxby-equivalence-local-duality-and-gorenstein-homological-dimensions-1006.5770"/></url>
<url><loc>https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-with-the-complex-coefficients-1007.1834</loc><lastmod>2010-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-with-the-complex-coefficients-1007.1834"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-with-the-complex-coefficients-1007.1834"/></url>
<url><loc>https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-for-multiple-univariate-polynomials-1007.1836</loc><lastmod>2015-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-for-multiple-univariate-polynomials-1007.1836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-for-multiple-univariate-polynomials-1007.1836"/></url>
<url><loc>https://scifaro.com/en/abs/the-limit-as-p-infinity-of-the-hilbert-kunz-multiplicity-of-sum-x-i-d-i-1007.2004</loc><lastmod>2010-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-limit-as-p-infinity-of-the-hilbert-kunz-multiplicity-of-sum-x-i-d-i-1007.2004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-limit-as-p-infinity-of-the-hilbert-kunz-multiplicity-of-sum-x-i-d-i-1007.2004"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-and-toric-rings-of-hibi-type-arising-from-a-finite-poset-1007.2092</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-and-toric-rings-of-hibi-type-arising-from-a-finite-poset-1007.2092"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-and-toric-rings-of-hibi-type-arising-from-a-finite-poset-1007.2092"/></url>
<url><loc>https://scifaro.com/en/abs/venereau-type-polynomials-as-potential-counterexamples-1007.2230</loc><lastmod>2013-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/venereau-type-polynomials-as-potential-counterexamples-1007.2230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/venereau-type-polynomials-as-potential-counterexamples-1007.2230"/></url>
<url><loc>https://scifaro.com/en/abs/new-solutions-to-the-hurwitz-problem-on-square-identities-1007.2337</loc><lastmod>2011-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-solutions-to-the-hurwitz-problem-on-square-identities-1007.2337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-solutions-to-the-hurwitz-problem-on-square-identities-1007.2337"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-loci-of-modules-1007.2508</loc><lastmod>2010-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-loci-of-modules-1007.2508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-loci-of-modules-1007.2508"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-polynomial-of-the-kimura-3-parameter-model-1007.3164</loc><lastmod>2010-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-polynomial-of-the-kimura-3-parameter-model-1007.3164"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-polynomial-of-the-kimura-3-parameter-model-1007.3164"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behaviour-of-stanley-depth-under-variable-adjunction-1007.3340</loc><lastmod>2010-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behaviour-of-stanley-depth-under-variable-adjunction-1007.3340"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behaviour-of-stanley-depth-under-variable-adjunction-1007.3340"/></url>
<url><loc>https://scifaro.com/en/abs/the-implicit-equation-of-a-multigraded-hypersurface-1007.3437</loc><lastmod>2011-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-implicit-equation-of-a-multigraded-hypersurface-1007.3437"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-implicit-equation-of-a-multigraded-hypersurface-1007.3437"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finite-inverse-problem-in-iterative-differential-galois-theory-1007.3648</loc><lastmod>2022-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finite-inverse-problem-in-iterative-differential-galois-theory-1007.3648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finite-inverse-problem-in-iterative-differential-galois-theory-1007.3648"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-regularity-of-edge-ideal-of-vertex-decomposable-and-shellable-graphs-1007.4056</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-edge-ideal-of-vertex-decomposable-and-shellable-graphs-1007.4056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-edge-ideal-of-vertex-decomposable-and-shellable-graphs-1007.4056"/></url>
<url><loc>https://scifaro.com/en/abs/koszulness-of-binomial-edge-ideals-1007.4383</loc><lastmod>2011-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszulness-of-binomial-edge-ideals-1007.4383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszulness-of-binomial-edge-ideals-1007.4383"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-for-the-klein-four-group-and-cyclic-groups-1007.5197</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-for-the-klein-four-group-and-cyclic-groups-1007.5197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-for-the-klein-four-group-and-cyclic-groups-1007.5197"/></url>
<url><loc>https://scifaro.com/en/abs/stability-and-clifford-regularity-with-respect-to-star-operations-1007.5265</loc><lastmod>2013-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-and-clifford-regularity-with-respect-to-star-operations-1007.5265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-and-clifford-regularity-with-respect-to-star-operations-1007.5265"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-matrix-algebra-iii-powers-of-matrices-and-generalized-eigenspaces-1008.0023</loc><lastmod>2010-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-iii-powers-of-matrices-and-generalized-eigenspaces-1008.0023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-matrix-algebra-iii-powers-of-matrices-and-generalized-eigenspaces-1008.0023"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-linear-algebra-1008.0025</loc><lastmod>2010-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-linear-algebra-1008.0025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-linear-algebra-1008.0025"/></url>
<url><loc>https://scifaro.com/en/abs/noether-normalizations-reductions-of-ideals-and-matroids-1008.0156</loc><lastmod>2011-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-normalizations-reductions-of-ideals-and-matroids-1008.0156"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-normalizations-reductions-of-ideals-and-matroids-1008.0156"/></url>
<url><loc>https://scifaro.com/en/abs/multiple-bernoulli-series-an-euler-maclaurin-formula-and-wall-crossings-1008.0263</loc><lastmod>2010-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiple-bernoulli-series-an-euler-maclaurin-formula-and-wall-crossings-1008.0263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiple-bernoulli-series-an-euler-maclaurin-formula-and-wall-crossings-1008.0263"/></url>
<url><loc>https://scifaro.com/en/abs/simple-approximate-varieties-for-sets-of-empirical-points-1008.0274</loc><lastmod>2012-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-approximate-varieties-for-sets-of-empirical-points-1008.0274"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-approximate-varieties-for-sets-of-empirical-points-1008.0274"/></url>
<url><loc>https://scifaro.com/en/abs/syzygy-gap-fractals-i-some-structural-results-and-an-upper-bound-1008.0583</loc><lastmod>2010-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygy-gap-fractals-i-some-structural-results-and-an-upper-bound-1008.0583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygy-gap-fractals-i-some-structural-results-and-an-upper-bound-1008.0583"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-functions-on-the-units-of-z-2-n-1008.1012</loc><lastmod>2010-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-functions-on-the-units-of-z-2-n-1008.1012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-functions-on-the-units-of-z-2-n-1008.1012"/></url>
<url><loc>https://scifaro.com/en/abs/depth-formula-via-complete-intersection-flat-dimension-1008.1637</loc><lastmod>2010-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-formula-via-complete-intersection-flat-dimension-1008.1637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-formula-via-complete-intersection-flat-dimension-1008.1637"/></url>
<url><loc>https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-1008.1737</loc><lastmod>2011-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-1008.1737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-1008.1737"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-primary-decomposition-in-polynomial-rings-over-the-integers-1008.2074</loc><lastmod>2011-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-primary-decomposition-in-polynomial-rings-over-the-integers-1008.2074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-primary-decomposition-in-polynomial-rings-over-the-integers-1008.2074"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-powers-of-linear-forms-1008.2149</loc><lastmod>2010-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-powers-of-linear-forms-1008.2149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-powers-of-linear-forms-1008.2149"/></url>
<url><loc>https://scifaro.com/en/abs/inverse-systems-gelfand-tsetlin-patterns-and-the-weak-lefschetz-property-1008.2377</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inverse-systems-gelfand-tsetlin-patterns-and-the-weak-lefschetz-property-1008.2377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inverse-systems-gelfand-tsetlin-patterns-and-the-weak-lefschetz-property-1008.2377"/></url>
<url><loc>https://scifaro.com/en/abs/wild-hypersurfaces-1008.2465</loc><lastmod>2011-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wild-hypersurfaces-1008.2465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wild-hypersurfaces-1008.2465"/></url>
<url><loc>https://scifaro.com/en/abs/necessary-conditions-for-the-depth-formula-over-cohen-macaulay-local-rings-1008.2573</loc><lastmod>2011-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/necessary-conditions-for-the-depth-formula-over-cohen-macaulay-local-rings-1008.2573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/necessary-conditions-for-the-depth-formula-over-cohen-macaulay-local-rings-1008.2573"/></url>
<url><loc>https://scifaro.com/en/abs/special-stanley-decompositions-1008.2924</loc><lastmod>2010-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/special-stanley-decompositions-1008.2924"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/special-stanley-decompositions-1008.2924"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-left-perpendicular-category-of-the-modules-of-finite-projective-dimension-1008.3680</loc><lastmod>2011-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-left-perpendicular-category-of-the-modules-of-finite-projective-dimension-1008.3680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-left-perpendicular-category-of-the-modules-of-finite-projective-dimension-1008.3680"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-degrees-dilworth-numbers-and-linear-resolution-1008.3711</loc><lastmod>2010-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-degrees-dilworth-numbers-and-linear-resolution-1008.3711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-degrees-dilworth-numbers-and-linear-resolution-1008.3711"/></url>
<url><loc>https://scifaro.com/en/abs/right-and-left-modules-over-the-frobenius-skew-polynomial-ring-in-the-f-finite-case-1008.3763</loc><lastmod>2015-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/right-and-left-modules-over-the-frobenius-skew-polynomial-ring-in-the-f-finite-case-1008.3763"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/right-and-left-modules-over-the-frobenius-skew-polynomial-ring-in-the-f-finite-case-1008.3763"/></url>
<url><loc>https://scifaro.com/en/abs/thomas-decomposition-of-algebraic-and-differential-systems-1008.3767</loc><lastmod>2015-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/thomas-decomposition-of-algebraic-and-differential-systems-1008.3767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/thomas-decomposition-of-algebraic-and-differential-systems-1008.3767"/></url>
<url><loc>https://scifaro.com/en/abs/the-determinantal-ideals-of-extended-hankel-matrices-1008.3843</loc><lastmod>2011-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-determinantal-ideals-of-extended-hankel-matrices-1008.3843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-determinantal-ideals-of-extended-hankel-matrices-1008.3843"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-and-hilbert-depth-of-squarefree-veronese-ideals-1008.4108</loc><lastmod>2010-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-and-hilbert-depth-of-squarefree-veronese-ideals-1008.4108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-and-hilbert-depth-of-squarefree-veronese-ideals-1008.4108"/></url>
<url><loc>https://scifaro.com/en/abs/factorisation-properties-of-group-scheme-actions-1008.4292</loc><lastmod>2011-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorisation-properties-of-group-scheme-actions-1008.4292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorisation-properties-of-group-scheme-actions-1008.4292"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injectivity-of-the-section-functor-1008.4485</loc><lastmod>2010-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injectivity-of-the-section-functor-1008.4485"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injectivity-of-the-section-functor-1008.4485"/></url>
<url><loc>https://scifaro.com/en/abs/nilpotent-gelfand-pairs-and-spherical-transforms-of-schwartz-functions-ii-taylor-expansion-on-singular-sets-1008.4699</loc><lastmod>2011-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nilpotent-gelfand-pairs-and-spherical-transforms-of-schwartz-functions-ii-taylor-expansion-on-singular-sets-1008.4699"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nilpotent-gelfand-pairs-and-spherical-transforms-of-schwartz-functions-ii-taylor-expansion-on-singular-sets-1008.4699"/></url>
<url><loc>https://scifaro.com/en/abs/path-ideals-of-rooted-trees-and-their-graded-betti-numbers-1008.4829</loc><lastmod>2011-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/path-ideals-of-rooted-trees-and-their-graded-betti-numbers-1008.4829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/path-ideals-of-rooted-trees-and-their-graded-betti-numbers-1008.4829"/></url>
<url><loc>https://scifaro.com/en/abs/decomposability-of-multivariable-polynomials-1008.4971</loc><lastmod>2010-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposability-of-multivariable-polynomials-1008.4971"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposability-of-multivariable-polynomials-1008.4971"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-critical-group-of-matrices-1008.5176</loc><lastmod>2012-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-critical-group-of-matrices-1008.5176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-critical-group-of-matrices-1008.5176"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-via-linkage-1008.5314</loc><lastmod>2011-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-via-linkage-1008.5314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-via-linkage-1008.5314"/></url>
<url><loc>https://scifaro.com/en/abs/extensions-of-toric-varieties-1009.0382</loc><lastmod>2011-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extensions-of-toric-varieties-1009.0382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extensions-of-toric-varieties-1009.0382"/></url>
<url><loc>https://scifaro.com/en/abs/desingularization-of-binomial-varieties-in-arbitrary-characteristic-part-ii-combinatorial-desingularization-algorithm-1009.0636</loc><lastmod>2010-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/desingularization-of-binomial-varieties-in-arbitrary-characteristic-part-ii-combinatorial-desingularization-algorithm-1009.0636"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/desingularization-of-binomial-varieties-in-arbitrary-characteristic-part-ii-combinatorial-desingularization-algorithm-1009.0636"/></url>
<url><loc>https://scifaro.com/en/abs/normality-of-monomial-ideals-1009.0786</loc><lastmod>2010-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-of-monomial-ideals-1009.0786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-of-monomial-ideals-1009.0786"/></url>
<url><loc>https://scifaro.com/en/abs/results-on-the-ratliff-rush-closure-and-the-integral-closedness-of-powers-of-certain-monomial-curves-1009.0787</loc><lastmod>2010-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/results-on-the-ratliff-rush-closure-and-the-integral-closedness-of-powers-of-certain-monomial-curves-1009.0787"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/results-on-the-ratliff-rush-closure-and-the-integral-closedness-of-powers-of-certain-monomial-curves-1009.0787"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-ratliff-rush-closure-1009.0788</loc><lastmod>2010-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-ratliff-rush-closure-1009.0788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-ratliff-rush-closure-1009.0788"/></url>
<url><loc>https://scifaro.com/en/abs/reduced-gr-obner-bases-of-certain-toric-varieties-a-new-short-proof-1009.0790</loc><lastmod>2010-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduced-gr-obner-bases-of-certain-toric-varieties-a-new-short-proof-1009.0790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduced-gr-obner-bases-of-certain-toric-varieties-a-new-short-proof-1009.0790"/></url>
<url><loc>https://scifaro.com/en/abs/equality-of-ordinary-and-symbolic-powers-of-stanley-reisner-ideals-1009.0828</loc><lastmod>2013-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equality-of-ordinary-and-symbolic-powers-of-stanley-reisner-ideals-1009.0828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equality-of-ordinary-and-symbolic-powers-of-stanley-reisner-ideals-1009.0828"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-large-powers-of-stanley-reisner-ideals-1009.0833</loc><lastmod>2010-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-large-powers-of-stanley-reisner-ideals-1009.0833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-large-powers-of-stanley-reisner-ideals-1009.0833"/></url>
<url><loc>https://scifaro.com/en/abs/galois-theory-of-difference-equations-with-periodic-parameters-1009.1159</loc><lastmod>2014-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-theory-of-difference-equations-with-periodic-parameters-1009.1159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-theory-of-difference-equations-with-periodic-parameters-1009.1159"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-cycles-1009.1230</loc><lastmod>2010-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-cycles-1009.1230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-cycles-1009.1230"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-ideals-and-the-cohomology-of-stalks-and-fibers-of-morphisms-1009.1271</loc><lastmod>2012-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-ideals-and-the-cohomology-of-stalks-and-fibers-of-morphisms-1009.1271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-ideals-and-the-cohomology-of-stalks-and-fibers-of-morphisms-1009.1271"/></url>
<url><loc>https://scifaro.com/en/abs/finite-atomic-lattices-and-resolutions-of-monomial-ideals-1009.1430</loc><lastmod>2010-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-atomic-lattices-and-resolutions-of-monomial-ideals-1009.1430"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-atomic-lattices-and-resolutions-of-monomial-ideals-1009.1430"/></url>
<url><loc>https://scifaro.com/en/abs/applications-of-closure-operations-on-big-cohenmacaulay-algebras-1009.1454</loc><lastmod>2012-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/applications-of-closure-operations-on-big-cohenmacaulay-algebras-1009.1454"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/applications-of-closure-operations-on-big-cohenmacaulay-algebras-1009.1454"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-edge-rings-arising-from-finite-graphs-1009.1472</loc><lastmod>2010-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-edge-rings-arising-from-finite-graphs-1009.1472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-edge-rings-arising-from-finite-graphs-1009.1472"/></url>
<url><loc>https://scifaro.com/en/abs/dual-bass-numbers-and-co-cohen-macaulay-modules-1009.2229</loc><lastmod>2013-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-bass-numbers-and-co-cohen-macaulay-modules-1009.2229"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-bass-numbers-and-co-cohen-macaulay-modules-1009.2229"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-criterion-for-algebroid-curves-1009.2420</loc><lastmod>2011-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-criterion-for-algebroid-curves-1009.2420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-criterion-for-algebroid-curves-1009.2420"/></url>
<url><loc>https://scifaro.com/en/abs/differential-equations-difference-equations-and-algebraic-relations-an-extension-to-a-theorem-of-compoint-1009.2538</loc><lastmod>2010-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-equations-difference-equations-and-algebraic-relations-an-extension-to-a-theorem-of-compoint-1009.2538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-equations-difference-equations-and-algebraic-relations-an-extension-to-a-theorem-of-compoint-1009.2538"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-and-applications-of-f-finite-f-modules-1009.2668</loc><lastmod>2011-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-and-applications-of-f-finite-f-modules-1009.2668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-and-applications-of-f-finite-f-modules-1009.2668"/></url>
<url><loc>https://scifaro.com/en/abs/theory-and-applications-of-lattice-point-methods-for-binomial-ideals-1009.2823</loc><lastmod>2010-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/theory-and-applications-of-lattice-point-methods-for-binomial-ideals-1009.2823"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/theory-and-applications-of-lattice-point-methods-for-binomial-ideals-1009.2823"/></url>
<url><loc>https://scifaro.com/en/abs/friezes-strings-and-cluster-variables-1009.3341</loc><lastmod>2011-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/friezes-strings-and-cluster-variables-1009.3341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/friezes-strings-and-cluster-variables-1009.3341"/></url>
<url><loc>https://scifaro.com/en/abs/a-splitting-theorem-for-local-cohomology-and-its-applications-1009.3531</loc><lastmod>2010-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-splitting-theorem-for-local-cohomology-and-its-applications-1009.3531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-splitting-theorem-for-local-cohomology-and-its-applications-1009.3531"/></url>
<url><loc>https://scifaro.com/en/abs/derivations-generic-formal-fibers-and-bad-noetherian-rings-1009.3957</loc><lastmod>2012-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derivations-generic-formal-fibers-and-bad-noetherian-rings-1009.3957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derivations-generic-formal-fibers-and-bad-noetherian-rings-1009.3957"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-growth-of-saturated-powers-and-epsilon-multiplicity-1009.4111</loc><lastmod>2010-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-growth-of-saturated-powers-and-epsilon-multiplicity-1009.4111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-growth-of-saturated-powers-and-epsilon-multiplicity-1009.4111"/></url>
<url><loc>https://scifaro.com/en/abs/dependence-of-betti-numbers-on-characteristic-1009.4243</loc><lastmod>2010-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dependence-of-betti-numbers-on-characteristic-1009.4243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dependence-of-betti-numbers-on-characteristic-1009.4243"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-smooth-structures-1-1009.4280</loc><lastmod>2010-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-smooth-structures-1-1009.4280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-smooth-structures-1-1009.4280"/></url>
<url><loc>https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-1009.4488</loc><lastmod>2012-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-1009.4488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-1009.4488"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimum-distance-of-parameterized-codes-on-projective-tori-1009.4966</loc><lastmod>2011-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimum-distance-of-parameterized-codes-on-projective-tori-1009.4966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimum-distance-of-parameterized-codes-on-projective-tori-1009.4966"/></url>
<url><loc>https://scifaro.com/en/abs/star-stability-and-star-regularity-for-mori-domains-1009.4993</loc><lastmod>2013-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-stability-and-star-regularity-for-mori-domains-1009.4993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-stability-and-star-regularity-for-mori-domains-1009.4993"/></url>
<url><loc>https://scifaro.com/en/abs/a-glimpse-at-supertropical-valuation-theory-1009.5014</loc><lastmod>2010-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-glimpse-at-supertropical-valuation-theory-1009.5014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-glimpse-at-supertropical-valuation-theory-1009.5014"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-total-ring-of-fractions-and-factoriality-of-rings-generated-by-semiinvariants-1009.5152</loc><lastmod>2010-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-total-ring-of-fractions-and-factoriality-of-rings-generated-by-semiinvariants-1009.5152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-total-ring-of-fractions-and-factoriality-of-rings-generated-by-semiinvariants-1009.5152"/></url>
<url><loc>https://scifaro.com/en/abs/invariance-of-the-barycentric-subdivision-of-a-simplicial-complex-1009.5245</loc><lastmod>2013-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariance-of-the-barycentric-subdivision-of-a-simplicial-complex-1009.5245"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariance-of-the-barycentric-subdivision-of-a-simplicial-complex-1009.5245"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-conjecture-on-intersections-of-four-monomial-prime-ideals-1009.5646</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-conjecture-on-intersections-of-four-monomial-prime-ideals-1009.5646"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-conjecture-on-intersections-of-four-monomial-prime-ideals-1009.5646"/></url>
<url><loc>https://scifaro.com/en/abs/sharp-upper-bounds-of-the-betti-numbers-for-a-given-hilbert-polynomial-1010.0457</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sharp-upper-bounds-of-the-betti-numbers-for-a-given-hilbert-polynomial-1010.0457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sharp-upper-bounds-of-the-betti-numbers-for-a-given-hilbert-polynomial-1010.0457"/></url>
<url><loc>https://scifaro.com/en/abs/hardy-type-derivations-on-fields-of-exponential-logarithmic-series-1010.0896</loc><lastmod>2011-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hardy-type-derivations-on-fields-of-exponential-logarithmic-series-1010.0896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hardy-type-derivations-on-fields-of-exponential-logarithmic-series-1010.0896"/></url>
<url><loc>https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-and-coefficient-ideals-for-non-m-primary-ideals-1010.1061</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-and-coefficient-ideals-for-non-m-primary-ideals-1010.1061"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-and-coefficient-ideals-for-non-m-primary-ideals-1010.1061"/></url>
<url><loc>https://scifaro.com/en/abs/a-less-restrictive-brian-c-c-on-skoda-theorem-with-coefficients-1010.1062</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-less-restrictive-brian-c-c-on-skoda-theorem-with-coefficients-1010.1062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-less-restrictive-brian-c-c-on-skoda-theorem-with-coefficients-1010.1062"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-artinian-and-matlis-reflexive-modules-i-1010.1278</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-artinian-and-matlis-reflexive-modules-i-1010.1278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-artinian-and-matlis-reflexive-modules-i-1010.1278"/></url>
<url><loc>https://scifaro.com/en/abs/normally-torsion-free-lexsegment-ideals-1010.1473</loc><lastmod>2010-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normally-torsion-free-lexsegment-ideals-1010.1473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normally-torsion-free-lexsegment-ideals-1010.1473"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-modules-over-cohen-macaulay-rings-1010.1536</loc><lastmod>2011-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-modules-over-cohen-macaulay-rings-1010.1536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-modules-over-cohen-macaulay-rings-1010.1536"/></url>
<url><loc>https://scifaro.com/en/abs/good-filtrations-and-strong-f-regularity-of-the-ring-of-u-p-invariants-1010.1606</loc><lastmod>2010-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/good-filtrations-and-strong-f-regularity-of-the-ring-of-u-p-invariants-1010.1606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/good-filtrations-and-strong-f-regularity-of-the-ring-of-u-p-invariants-1010.1606"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-on-the-number-of-f-jumping-coefficients-of-a-principal-ideal-1010.1890</loc><lastmod>2010-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-on-the-number-of-f-jumping-coefficients-of-a-principal-ideal-1010.1890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-on-the-number-of-f-jumping-coefficients-of-a-principal-ideal-1010.1890"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-complete-intersection-homomorphisms-1010.2143</loc><lastmod>2013-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-complete-intersection-homomorphisms-1010.2143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-complete-intersection-homomorphisms-1010.2143"/></url>
<url><loc>https://scifaro.com/en/abs/two-interesting-examples-of-mathcal-d-modules-in-characteristic-p-0-1010.2525</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-interesting-examples-of-mathcal-d-modules-in-characteristic-p-0-1010.2525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-interesting-examples-of-mathcal-d-modules-in-characteristic-p-0-1010.2525"/></url>
<url><loc>https://scifaro.com/en/abs/poset-structures-in-boij-s-oderberg-theory-1010.2663</loc><lastmod>2012-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poset-structures-in-boij-s-oderberg-theory-1010.2663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poset-structures-in-boij-s-oderberg-theory-1010.2663"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-the-dihedral-group-d-2p-in-characteristic-two-1010.2761</loc><lastmod>2016-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-the-dihedral-group-d-2p-in-characteristic-two-1010.2761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-the-dihedral-group-d-2p-in-characteristic-two-1010.2761"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-gotzmann-sets-in-a-quotient-by-a-pure-power-1010.2767</loc><lastmod>2016-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-gotzmann-sets-in-a-quotient-by-a-pure-power-1010.2767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-gotzmann-sets-in-a-quotient-by-a-pure-power-1010.2767"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-functors-of-local-cohomology-modules-1010.2903</loc><lastmod>2010-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-functors-of-local-cohomology-modules-1010.2903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-functors-of-local-cohomology-modules-1010.2903"/></url>
<url><loc>https://scifaro.com/en/abs/homological-invariants-of-modules-over-contracting-endomorphisms-1010.3029</loc><lastmod>2011-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-invariants-of-modules-over-contracting-endomorphisms-1010.3029"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-invariants-of-modules-over-contracting-endomorphisms-1010.3029"/></url>
<url><loc>https://scifaro.com/en/abs/gotzmann-squarefree-ideals-1010.3194</loc><lastmod>2010-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gotzmann-squarefree-ideals-1010.3194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gotzmann-squarefree-ideals-1010.3194"/></url>
<url><loc>https://scifaro.com/en/abs/associated-graded-rings-of-one-dimensional-analytically-irreducible-rings-ii-1010.3952</loc><lastmod>2010-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-graded-rings-of-one-dimensional-analytically-irreducible-rings-ii-1010.3952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-graded-rings-of-one-dimensional-analytically-irreducible-rings-ii-1010.3952"/></url>
<url><loc>https://scifaro.com/en/abs/sliding-functor-and-polarization-functor-for-multigraded-modules-1010.4112</loc><lastmod>2010-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sliding-functor-and-polarization-functor-for-multigraded-modules-1010.4112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sliding-functor-and-polarization-functor-for-multigraded-modules-1010.4112"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-homology-of-completion-and-torsion-1010.4386</loc><lastmod>2012-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-homology-of-completion-and-torsion-1010.4386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-homology-of-completion-and-torsion-1010.4386"/></url>
<url><loc>https://scifaro.com/en/abs/values-and-bounds-of-the-stanley-depth-1010.4692</loc><lastmod>2010-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/values-and-bounds-of-the-stanley-depth-1010.4692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/values-and-bounds-of-the-stanley-depth-1010.4692"/></url>
<url><loc>https://scifaro.com/en/abs/a-chevalley-theorem-for-difference-equations-1010.5066</loc><lastmod>2010-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-chevalley-theorem-for-difference-equations-1010.5066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-chevalley-theorem-for-difference-equations-1010.5066"/></url>
<url><loc>https://scifaro.com/en/abs/continuous-closure-of-sheaves-1010.5480</loc><lastmod>2010-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/continuous-closure-of-sheaves-1010.5480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/continuous-closure-of-sheaves-1010.5480"/></url>
<url><loc>https://scifaro.com/en/abs/lexsegment-ideals-are-sequentially-cohen-macaulay-1010.5615</loc><lastmod>2012-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lexsegment-ideals-are-sequentially-cohen-macaulay-1010.5615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lexsegment-ideals-are-sequentially-cohen-macaulay-1010.5615"/></url>
<url><loc>https://scifaro.com/en/abs/type-sequences-of-one-dimensional-local-analytically-irreducible-rings-1010.5704</loc><lastmod>2016-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/type-sequences-of-one-dimensional-local-analytically-irreducible-rings-1010.5704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/type-sequences-of-one-dimensional-local-analytically-irreducible-rings-1010.5704"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-contraction-ideals-1010.5768</loc><lastmod>2010-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-contraction-ideals-1010.5768"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-contraction-ideals-1010.5768"/></url>
<url><loc>https://scifaro.com/en/abs/another-definition-of-euler-class-group-of-a-noetherian-ring-1010.5878</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/another-definition-of-euler-class-group-of-a-noetherian-ring-1010.5878"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/another-definition-of-euler-class-group-of-a-noetherian-ring-1010.5878"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-divisibility-property-of-polynomials-1010.5952</loc><lastmod>2010-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-divisibility-property-of-polynomials-1010.5952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-divisibility-property-of-polynomials-1010.5952"/></url>
<url><loc>https://scifaro.com/en/abs/faithfully-flat-descent-for-projectivity-of-modules-1011.0038</loc><lastmod>2010-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faithfully-flat-descent-for-projectivity-of-modules-1011.0038"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faithfully-flat-descent-for-projectivity-of-modules-1011.0038"/></url>
<url><loc>https://scifaro.com/en/abs/resolution-of-veronese-embedding-of-plane-curves-1011.0305</loc><lastmod>2010-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolution-of-veronese-embedding-of-plane-curves-1011.0305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolution-of-veronese-embedding-of-plane-curves-1011.0305"/></url>
<url><loc>https://scifaro.com/en/abs/subcategories-of-extension-modules-by-serre-subcategories-1011.0376</loc><lastmod>2011-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subcategories-of-extension-modules-by-serre-subcategories-1011.0376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subcategories-of-extension-modules-by-serre-subcategories-1011.0376"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-last-hilbert-samuel-coefficient-of-isolated-singularities-1011.0846</loc><lastmod>2010-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-last-hilbert-samuel-coefficient-of-isolated-singularities-1011.0846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-last-hilbert-samuel-coefficient-of-isolated-singularities-1011.0846"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-arboreal-residue-structures-induced-by-prufer-extensions-an-axiomatic-approach-1011.0855</loc><lastmod>2010-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-arboreal-residue-structures-induced-by-prufer-extensions-an-axiomatic-approach-1011.0855"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-arboreal-residue-structures-induced-by-prufer-extensions-an-axiomatic-approach-1011.0855"/></url>
<url><loc>https://scifaro.com/en/abs/an-example-of-melkersson-subcategory-which-is-not-closed-under-injective-hulls-1011.1663</loc><lastmod>2010-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-example-of-melkersson-subcategory-which-is-not-closed-under-injective-hulls-1011.1663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-example-of-melkersson-subcategory-which-is-not-closed-under-injective-hulls-1011.1663"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-lexsegment-ideals-with-linear-resolution-1011.2157</loc><lastmod>2010-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-lexsegment-ideals-with-linear-resolution-1011.2157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-lexsegment-ideals-with-linear-resolution-1011.2157"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rank-of-multigraded-differential-modules-1011.2167</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rank-of-multigraded-differential-modules-1011.2167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rank-of-multigraded-differential-modules-1011.2167"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-for-the-basic-g-a-actions-1011.2169</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-for-the-basic-g-a-actions-1011.2169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-for-the-basic-g-a-actions-1011.2169"/></url>
<url><loc>https://scifaro.com/en/abs/on-unimodality-of-hilbert-functions-of-gorenstein-artin-algebras-of-embedding-dimension-four-1011.2732</loc><lastmod>2010-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-unimodality-of-hilbert-functions-of-gorenstein-artin-algebras-of-embedding-dimension-four-1011.2732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-unimodality-of-hilbert-functions-of-gorenstein-artin-algebras-of-embedding-dimension-four-1011.2732"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lifting-of-the-nagata-automorphism-1011.3349</loc><lastmod>2017-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lifting-of-the-nagata-automorphism-1011.3349"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lifting-of-the-nagata-automorphism-1011.3349"/></url>
<url><loc>https://scifaro.com/en/abs/on-archimedean-decompositions-of-linearly-ordered-fields-1011.3873</loc><lastmod>2015-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-archimedean-decompositions-of-linearly-ordered-fields-1011.3873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-archimedean-decompositions-of-linearly-ordered-fields-1011.3873"/></url>
<url><loc>https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-colocalization-and-coassociated-primes-1011.4141</loc><lastmod>2012-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-colocalization-and-coassociated-primes-1011.4141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-artinianness-of-formal-local-cohomology-colocalization-and-coassociated-primes-1011.4141"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-for-certain-affine-monomial-curve-1011.4247</loc><lastmod>2012-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-for-certain-affine-monomial-curve-1011.4247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-for-certain-affine-monomial-curve-1011.4247"/></url>
<url><loc>https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-1011.4662</loc><lastmod>2011-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-1011.4662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-1011.4662"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-s-theta-pairing-and-algebraic-equivalence-1011.4886</loc><lastmod>2016-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-s-theta-pairing-and-algebraic-equivalence-1011.4886"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-s-theta-pairing-and-algebraic-equivalence-1011.4886"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-cancellation-of-projective-modules-1011.5079</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-cancellation-of-projective-modules-1011.5079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-cancellation-of-projective-modules-1011.5079"/></url>
<url><loc>https://scifaro.com/en/abs/relative-invariants-ideal-classes-and-quasi-canonical-modules-of-modular-rings-of-invariants-1011.5153</loc><lastmod>2010-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-invariants-ideal-classes-and-quasi-canonical-modules-of-modular-rings-of-invariants-1011.5153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-invariants-ideal-classes-and-quasi-canonical-modules-of-modular-rings-of-invariants-1011.5153"/></url>
<url><loc>https://scifaro.com/en/abs/inferring-biologically-relevant-models-nested-canalyzing-functions-1011.6064</loc><lastmod>2012-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inferring-biologically-relevant-models-nested-canalyzing-functions-1011.6064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inferring-biologically-relevant-models-nested-canalyzing-functions-1011.6064"/></url>
<url><loc>https://scifaro.com/en/abs/generators-of-truncated-symmetric-polynomials-1011.6068</loc><lastmod>2017-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-of-truncated-symmetric-polynomials-1011.6068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-of-truncated-symmetric-polynomials-1011.6068"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-and-size-of-a-monomial-ideal-1011.6462</loc><lastmod>2010-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-and-size-of-a-monomial-ideal-1011.6462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-and-size-of-a-monomial-ideal-1011.6462"/></url>
<url><loc>https://scifaro.com/en/abs/etale-cohomological-dimension-a-conjecture-of-lyubeznik-and-bounds-for-arithmetic-rank-1011.6648</loc><lastmod>2010-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/etale-cohomological-dimension-a-conjecture-of-lyubeznik-and-bounds-for-arithmetic-rank-1011.6648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/etale-cohomological-dimension-a-conjecture-of-lyubeznik-and-bounds-for-arithmetic-rank-1011.6648"/></url>
<url><loc>https://scifaro.com/en/abs/jump-sequences-of-edge-ideals-1012.0108</loc><lastmod>2010-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jump-sequences-of-edge-ideals-1012.0108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jump-sequences-of-edge-ideals-1012.0108"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-bipartite-graphs-revisited-1012.0457</loc><lastmod>2010-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-bipartite-graphs-revisited-1012.0457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-bipartite-graphs-revisited-1012.0457"/></url>
<url><loc>https://scifaro.com/en/abs/adam-analysis-of-discrete-models-of-biological-systems-using-computer-algebra-1012.0778</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adam-analysis-of-discrete-models-of-biological-systems-using-computer-algebra-1012.0778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adam-analysis-of-discrete-models-of-biological-systems-using-computer-algebra-1012.0778"/></url>
<url><loc>https://scifaro.com/en/abs/stabilization-of-the-regularity-of-powers-of-an-ideal-1012.0951</loc><lastmod>2010-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stabilization-of-the-regularity-of-powers-of-an-ideal-1012.0951"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stabilization-of-the-regularity-of-powers-of-an-ideal-1012.0951"/></url>
<url><loc>https://scifaro.com/en/abs/the-resolution-of-the-bracket-powers-of-the-maximal-ideal-in-a-diagonal-hypersurface-ring-1012.1026</loc><lastmod>2010-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-resolution-of-the-bracket-powers-of-the-maximal-ideal-in-a-diagonal-hypersurface-ring-1012.1026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-resolution-of-the-bracket-powers-of-the-maximal-ideal-in-a-diagonal-hypersurface-ring-1012.1026"/></url>
<url><loc>https://scifaro.com/en/abs/an-improvement-upon-unmixed-decomposition-of-an-algebraic-variety-1012.1190</loc><lastmod>2010-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-improvement-upon-unmixed-decomposition-of-an-algebraic-variety-1012.1190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-improvement-upon-unmixed-decomposition-of-an-algebraic-variety-1012.1190"/></url>
<url><loc>https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-1012.1197</loc><lastmod>2010-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-1012.1197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-1012.1197"/></url>
<url><loc>https://scifaro.com/en/abs/acyclicity-of-complexes-of-flat-modules-1012.1394</loc><lastmod>2010-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/acyclicity-of-complexes-of-flat-modules-1012.1394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/acyclicity-of-complexes-of-flat-modules-1012.1394"/></url>
<url><loc>https://scifaro.com/en/abs/mathieu-subspaces-of-univariate-polynomial-algebras-1012.2017</loc><lastmod>2022-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mathieu-subspaces-of-univariate-polynomial-algebras-1012.2017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mathieu-subspaces-of-univariate-polynomial-algebras-1012.2017"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-theory-for-nodal-cubics-via-sheaves-1012.2354</loc><lastmod>2011-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-theory-for-nodal-cubics-via-sheaves-1012.2354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-theory-for-nodal-cubics-via-sheaves-1012.2354"/></url>
<url><loc>https://scifaro.com/en/abs/when-every-principal-ideal-is-flat-1012.2538</loc><lastmod>2011-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-every-principal-ideal-is-flat-1012.2538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-every-principal-ideal-is-flat-1012.2538"/></url>
<url><loc>https://scifaro.com/en/abs/hyperplane-sections-and-the-subtlety-of-the-lefschetz-properties-1012.2601</loc><lastmod>2012-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hyperplane-sections-and-the-subtlety-of-the-lefschetz-properties-1012.2601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hyperplane-sections-and-the-subtlety-of-the-lefschetz-properties-1012.2601"/></url>
<url><loc>https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-1012.2818</loc><lastmod>2011-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-1012.2818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-1012.2818"/></url>
<url><loc>https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-ii-1012.2915</loc><lastmod>2011-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-ii-1012.2915"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinary-varieties-and-the-comparison-between-multiplier-ideals-and-test-ideals-ii-1012.2915"/></url>
<url><loc>https://scifaro.com/en/abs/homological-algebra-modulo-exact-zero-divisors-1012.3010</loc><lastmod>2015-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-algebra-modulo-exact-zero-divisors-1012.3010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-algebra-modulo-exact-zero-divisors-1012.3010"/></url>
<url><loc>https://scifaro.com/en/abs/on-stably-free-modules-over-laurent-polynomial-rings-1012.3540</loc><lastmod>2010-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stably-free-modules-over-laurent-polynomial-rings-1012.3540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stably-free-modules-over-laurent-polynomial-rings-1012.3540"/></url>
<url><loc>https://scifaro.com/en/abs/the-f5-criterion-revised-1012.3664</loc><lastmod>2016-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f5-criterion-revised-1012.3664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f5-criterion-revised-1012.3664"/></url>
<url><loc>https://scifaro.com/en/abs/stable-degenerations-of-cohen-macaulay-modules-1012.4531</loc><lastmod>2010-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-degenerations-of-cohen-macaulay-modules-1012.4531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-degenerations-of-cohen-macaulay-modules-1012.4531"/></url>
<url><loc>https://scifaro.com/en/abs/subresultants-in-multiple-roots-1012.4615</loc><lastmod>2012-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subresultants-in-multiple-roots-1012.4615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subresultants-in-multiple-roots-1012.4615"/></url>
<url><loc>https://scifaro.com/en/abs/modular-absolute-decomposition-of-equidimensional-polynomial-ideals-1012.5210</loc><lastmod>2010-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-absolute-decomposition-of-equidimensional-polynomial-ideals-1012.5210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-absolute-decomposition-of-equidimensional-polynomial-ideals-1012.5210"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-algebraic-and-combinatorial-properties-1012.5329</loc><lastmod>2012-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-algebraic-and-combinatorial-properties-1012.5329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-algebraic-and-combinatorial-properties-1012.5329"/></url>
<url><loc>https://scifaro.com/en/abs/examples-of-degenerations-of-cohen-macaulay-modules-1012.5346</loc><lastmod>2010-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/examples-of-degenerations-of-cohen-macaulay-modules-1012.5346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/examples-of-degenerations-of-cohen-macaulay-modules-1012.5346"/></url>
<url><loc>https://scifaro.com/en/abs/a-translation-every-finite-free-resolution-is-a-free-resolution-of-an-ideal-generated-by-three-elements-1012.5551</loc><lastmod>2010-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-translation-every-finite-free-resolution-is-a-free-resolution-of-an-ideal-generated-by-three-elements-1012.5551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-translation-every-finite-free-resolution-is-a-free-resolution-of-an-ideal-generated-by-three-elements-1012.5551"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-reductions-and-cores-of-edge-ideals-1012.5746</loc><lastmod>2012-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-reductions-and-cores-of-edge-ideals-1012.5746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-reductions-and-cores-of-edge-ideals-1012.5746"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-adjacent-2-minors-1012.5789</loc><lastmod>2011-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-adjacent-2-minors-1012.5789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-adjacent-2-minors-1012.5789"/></url>
<url><loc>https://scifaro.com/en/abs/a-characteristic-free-criterion-of-birationality-1101.0197</loc><lastmod>2012-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characteristic-free-criterion-of-birationality-1101.0197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characteristic-free-criterion-of-birationality-1101.0197"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-affine-homogeneity-of-algebraic-hypersurfaces-arising-from-gorenstein-algebras-1101.0452</loc><lastmod>2011-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-affine-homogeneity-of-algebraic-hypersurfaces-arising-from-gorenstein-algebras-1101.0452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-affine-homogeneity-of-algebraic-hypersurfaces-arising-from-gorenstein-algebras-1101.0452"/></url>
<url><loc>https://scifaro.com/en/abs/the-aluffi-algebra-1101.0464</loc><lastmod>2011-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-aluffi-algebra-1101.0464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-aluffi-algebra-1101.0464"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-product-of-graphs-1101.0515</loc><lastmod>2011-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-product-of-graphs-1101.0515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-product-of-graphs-1101.0515"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-there-a-nontrivial-extension-closed-subcategory-1101.0991</loc><lastmod>2011-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-there-a-nontrivial-extension-closed-subcategory-1101.0991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-there-a-nontrivial-extension-closed-subcategory-1101.0991"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-algebra-of-statistical-ranking-1101.1597</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-algebra-of-statistical-ranking-1101.1597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-algebra-of-statistical-ranking-1101.1597"/></url>
<url><loc>https://scifaro.com/en/abs/f-ideals-of-degree-2-1101.1780</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-ideals-of-degree-2-1101.1780"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-ideals-of-degree-2-1101.1780"/></url>
<url><loc>https://scifaro.com/en/abs/inclusion-ideals-associated-to-uniformly-increasing-hypergraphs-1101.1781</loc><lastmod>2013-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inclusion-ideals-associated-to-uniformly-increasing-hypergraphs-1101.1781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inclusion-ideals-associated-to-uniformly-increasing-hypergraphs-1101.1781"/></url>
<url><loc>https://scifaro.com/en/abs/an-inductive-analytic-criterion-for-flatness-1101.1938</loc><lastmod>2011-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-inductive-analytic-criterion-for-flatness-1101.1938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-inductive-analytic-criterion-for-flatness-1101.1938"/></url>
<url><loc>https://scifaro.com/en/abs/formulas-for-the-multiplicity-of-graded-algebras-1101.2280</loc><lastmod>2011-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formulas-for-the-multiplicity-of-graded-algebras-1101.2280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formulas-for-the-multiplicity-of-graded-algebras-1101.2280"/></url>
<url><loc>https://scifaro.com/en/abs/j-multiplicity-and-depth-of-associated-graded-modules-1101.2281</loc><lastmod>2011-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/j-multiplicity-and-depth-of-associated-graded-modules-1101.2281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/j-multiplicity-and-depth-of-associated-graded-modules-1101.2281"/></url>
<url><loc>https://scifaro.com/en/abs/cremona-maps-defined-by-monomials-1101.2413</loc><lastmod>2011-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cremona-maps-defined-by-monomials-1101.2413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cremona-maps-defined-by-monomials-1101.2413"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-totally-reflexive-modules-via-gorenstein-homomorphisms-1101.2658</loc><lastmod>2011-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-totally-reflexive-modules-via-gorenstein-homomorphisms-1101.2658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-totally-reflexive-modules-via-gorenstein-homomorphisms-1101.2658"/></url>
<url><loc>https://scifaro.com/en/abs/nilpotent-algebras-and-affinely-homogeneous-surfaces-1101.3088</loc><lastmod>2011-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nilpotent-algebras-and-affinely-homogeneous-surfaces-1101.3088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nilpotent-algebras-and-affinely-homogeneous-surfaces-1101.3088"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-with-larger-projective-dimension-and-regularity-1101.3368</loc><lastmod>2011-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-with-larger-projective-dimension-and-regularity-1101.3368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-with-larger-projective-dimension-and-regularity-1101.3368"/></url>
<url><loc>https://scifaro.com/en/abs/signature-based-algorithms-to-compute-groebner-bases-1101.3589</loc><lastmod>2011-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/signature-based-algorithms-to-compute-groebner-bases-1101.3589"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/signature-based-algorithms-to-compute-groebner-bases-1101.3589"/></url>
<url><loc>https://scifaro.com/en/abs/equivalence-of-three-different-definitions-of-irreducible-element-1101.3977</loc><lastmod>2011-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivalence-of-three-different-definitions-of-irreducible-element-1101.3977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivalence-of-three-different-definitions-of-irreducible-element-1101.3977"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-initial-ideals-of-normal-edge-rings-1101.4058</loc><lastmod>2011-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-initial-ideals-of-normal-edge-rings-1101.4058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-initial-ideals-of-normal-edge-rings-1101.4058"/></url>
<url><loc>https://scifaro.com/en/abs/tameness-and-artinianness-of-graded-generalized-local-cohomology-modules-1101.4350</loc><lastmod>2011-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tameness-and-artinianness-of-graded-generalized-local-cohomology-modules-1101.4350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tameness-and-artinianness-of-graded-generalized-local-cohomology-modules-1101.4350"/></url>
<url><loc>https://scifaro.com/en/abs/vertex-cover-algebras-of-simplicial-multicomplexes-1101.4379</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vertex-cover-algebras-of-simplicial-multicomplexes-1101.4379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vertex-cover-algebras-of-simplicial-multicomplexes-1101.4379"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-complexes-multilinear-free-resolutions-constructed-from-higher-tensors-1101.4604</loc><lastmod>2013-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-complexes-multilinear-free-resolutions-constructed-from-higher-tensors-1101.4604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-complexes-multilinear-free-resolutions-constructed-from-higher-tensors-1101.4604"/></url>
<url><loc>https://scifaro.com/en/abs/the-f-vector-of-the-clique-complex-of-chordal-graphs-and-betti-numbers-of-edge-ideals-of-uniform-hypergraphs-1101.4831</loc><lastmod>2016-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f-vector-of-the-clique-complex-of-chordal-graphs-and-betti-numbers-of-edge-ideals-of-uniform-hypergraphs-1101.4831"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f-vector-of-the-clique-complex-of-chordal-graphs-and-betti-numbers-of-edge-ideals-of-uniform-hypergraphs-1101.4831"/></url>
<url><loc>https://scifaro.com/en/abs/a-finiteness-condition-on-local-cohomology-in-positive-characteristic-1101.4907</loc><lastmod>2011-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-finiteness-condition-on-local-cohomology-in-positive-characteristic-1101.4907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-finiteness-condition-on-local-cohomology-in-positive-characteristic-1101.4907"/></url>
<url><loc>https://scifaro.com/en/abs/new-estimates-of-hilbert-kunz-multiplicities-for-local-rings-of-fixed-dimension-1101.5078</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-estimates-of-hilbert-kunz-multiplicities-for-local-rings-of-fixed-dimension-1101.5078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-estimates-of-hilbert-kunz-multiplicities-for-local-rings-of-fixed-dimension-1101.5078"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-with-pure-resolutions-1101.5565</loc><lastmod>2011-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-with-pure-resolutions-1101.5565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-stanley-reisner-rings-with-pure-resolutions-1101.5565"/></url>
<url><loc>https://scifaro.com/en/abs/state-morphism-mv-algebras-1102.1088</loc><lastmod>2011-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/state-morphism-mv-algebras-1102.1088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/state-morphism-mv-algebras-1102.1088"/></url>
<url><loc>https://scifaro.com/en/abs/dominance-and-transmissions-in-supertropical-valuation-theory-1102.1520</loc><lastmod>2011-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dominance-and-transmissions-in-supertropical-valuation-theory-1102.1520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dominance-and-transmissions-in-supertropical-valuation-theory-1102.1520"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-the-core-of-certain-strongly-stable-ideals-1102.1756</loc><lastmod>2011-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-the-core-of-certain-strongly-stable-ideals-1102.1756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-the-core-of-certain-strongly-stable-ideals-1102.1756"/></url>
<url><loc>https://scifaro.com/en/abs/finite-separating-sets-and-quasi-affine-quotients-1102.2132</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-separating-sets-and-quasi-affine-quotients-1102.2132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-separating-sets-and-quasi-affine-quotients-1102.2132"/></url>
<url><loc>https://scifaro.com/en/abs/stable-complete-intersections-1102.2158</loc><lastmod>2011-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-complete-intersections-1102.2158"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-complete-intersections-1102.2158"/></url>
<url><loc>https://scifaro.com/en/abs/rigid-monomial-ideals-1102.2243</loc><lastmod>2011-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigid-monomial-ideals-1102.2243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigid-monomial-ideals-1102.2243"/></url>
<url><loc>https://scifaro.com/en/abs/finite-sets-of-affine-points-with-unique-associated-monomial-order-quotient-bases-1102.2471</loc><lastmod>2011-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-sets-of-affine-points-with-unique-associated-monomial-order-quotient-bases-1102.2471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-sets-of-affine-points-with-unique-associated-monomial-order-quotient-bases-1102.2471"/></url>
<url><loc>https://scifaro.com/en/abs/the-geometry-and-combinatorics-of-cographic-toric-face-rings-1102.2547</loc><lastmod>2013-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-geometry-and-combinatorics-of-cographic-toric-face-rings-1102.2547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-geometry-and-combinatorics-of-cographic-toric-face-rings-1102.2547"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-commutative-algebra-of-graph-decompositions-1102.2601</loc><lastmod>2014-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-commutative-algebra-of-graph-decompositions-1102.2601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-commutative-algebra-of-graph-decompositions-1102.2601"/></url>
<url><loc>https://scifaro.com/en/abs/improved-decoding-of-affine-variety-codes-1102.4186</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/improved-decoding-of-affine-variety-codes-1102.4186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/improved-decoding-of-affine-variety-codes-1102.4186"/></url>
<url><loc>https://scifaro.com/en/abs/rings-whose-annihilating-ideal-graphs-have-positive-genus-1102.4835</loc><lastmod>2011-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-whose-annihilating-ideal-graphs-have-positive-genus-1102.4835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-whose-annihilating-ideal-graphs-have-positive-genus-1102.4835"/></url>
<url><loc>https://scifaro.com/en/abs/three-simplicial-resolutions-1102.5062</loc><lastmod>2011-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-simplicial-resolutions-1102.5062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-simplicial-resolutions-1102.5062"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-singularities-on-rational-curves-via-syzygies-1102.5072</loc><lastmod>2012-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-singularities-on-rational-curves-via-syzygies-1102.5072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-singularities-on-rational-curves-via-syzygies-1102.5072"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-hilbert-kunz-multiplicity-1102.5101</loc><lastmod>2011-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-hilbert-kunz-multiplicity-1102.5101"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-hilbert-kunz-multiplicity-1102.5101"/></url>
<url><loc>https://scifaro.com/en/abs/graded-f-modules-and-local-cohomology-1102.5336</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-f-modules-and-local-cohomology-1102.5336"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-f-modules-and-local-cohomology-1102.5336"/></url>
<url><loc>https://scifaro.com/en/abs/on-normal-valued-basic-pseudo-hoops-1102.5424</loc><lastmod>2011-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-normal-valued-basic-pseudo-hoops-1102.5424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-normal-valued-basic-pseudo-hoops-1102.5424"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-denumerant-of-a-numerical-semigroup-with-embedding-dimension-less-than-four-1102.5518</loc><lastmod>2014-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-denumerant-of-a-numerical-semigroup-with-embedding-dimension-less-than-four-1102.5518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-denumerant-of-a-numerical-semigroup-with-embedding-dimension-less-than-four-1102.5518"/></url>
<url><loc>https://scifaro.com/en/abs/differential-krull-dimension-in-differential-polynomial-extensions-1103.0046</loc><lastmod>2011-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-krull-dimension-in-differential-polynomial-extensions-1103.0046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-krull-dimension-in-differential-polynomial-extensions-1103.0046"/></url>
<url><loc>https://scifaro.com/en/abs/dicritical-divisors-after-s-s-abhyankar-et-i-luengo-1103.0707</loc><lastmod>2011-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dicritical-divisors-after-s-s-abhyankar-et-i-luengo-1103.0707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dicritical-divisors-after-s-s-abhyankar-et-i-luengo-1103.0707"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-1103.0992</loc><lastmod>2012-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-1103.0992"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-1103.0992"/></url>
<url><loc>https://scifaro.com/en/abs/dagger-closure-in-regular-rings-containing-a-field-1103.1786</loc><lastmod>2012-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dagger-closure-in-regular-rings-containing-a-field-1103.1786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dagger-closure-in-regular-rings-containing-a-field-1103.1786"/></url>
<url><loc>https://scifaro.com/en/abs/specializations-of-indecomposable-polynomials-1103.1825</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/specializations-of-indecomposable-polynomials-1103.1825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/specializations-of-indecomposable-polynomials-1103.1825"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-sequentially-cohen-macaulay-squarefree-monomial-ideals-1103.1996</loc><lastmod>2011-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-sequentially-cohen-macaulay-squarefree-monomial-ideals-1103.1996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-sequentially-cohen-macaulay-squarefree-monomial-ideals-1103.1996"/></url>
<url><loc>https://scifaro.com/en/abs/implementing-the-kustin-miller-complex-construction-1103.2314</loc><lastmod>2012-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/implementing-the-kustin-miller-complex-construction-1103.2314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/implementing-the-kustin-miller-complex-construction-1103.2314"/></url>
<url><loc>https://scifaro.com/en/abs/the-abhyankar-jung-theorem-1103.2559</loc><lastmod>2012-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-abhyankar-jung-theorem-1103.2559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-abhyankar-jung-theorem-1103.2559"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-approximation-in-fibred-categories-1103.2712</loc><lastmod>2019-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-approximation-in-fibred-categories-1103.2712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-approximation-in-fibred-categories-1103.2712"/></url>
<url><loc>https://scifaro.com/en/abs/aluffi-torsion-free-ideals-1103.3112</loc><lastmod>2013-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/aluffi-torsion-free-ideals-1103.3112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/aluffi-torsion-free-ideals-1103.3112"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-associated-graded-modules-and-fiber-cones-of-filtered-modules-1103.3455</loc><lastmod>2011-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-associated-graded-modules-and-fiber-cones-of-filtered-modules-1103.3455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-associated-graded-modules-and-fiber-cones-of-filtered-modules-1103.3455"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-gorensteinness-of-fiber-cone-1103.3555</loc><lastmod>2011-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-gorensteinness-of-fiber-cone-1103.3555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-gorensteinness-of-fiber-cone-1103.3555"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-exists-1103.4173</loc><lastmod>2015-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-exists-1103.4173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-exists-1103.4173"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-witt-burnside-rings-attached-to-pro-p-groups-1103.4644</loc><lastmod>2013-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-witt-burnside-rings-attached-to-pro-p-groups-1103.4644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-witt-burnside-rings-attached-to-pro-p-groups-1103.4644"/></url>
<url><loc>https://scifaro.com/en/abs/an-indispensable-classification-of-monomial-curves-in-mathbb-a-4-mathbbmss-k-1103.4702</loc><lastmod>2014-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-indispensable-classification-of-monomial-curves-in-mathbb-a-4-mathbbmss-k-1103.4702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-indispensable-classification-of-monomial-curves-in-mathbb-a-4-mathbbmss-k-1103.4702"/></url>
<url><loc>https://scifaro.com/en/abs/criteria-for-flatness-and-injectivity-1103.4726</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/criteria-for-flatness-and-injectivity-1103.4726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/criteria-for-flatness-and-injectivity-1103.4726"/></url>
<url><loc>https://scifaro.com/en/abs/some-extensions-of-hilbert-kunz-multiplicity-1103.4730</loc><lastmod>2011-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-extensions-of-hilbert-kunz-multiplicity-1103.4730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-extensions-of-hilbert-kunz-multiplicity-1103.4730"/></url>
<url><loc>https://scifaro.com/en/abs/a-degree-map-on-unimodular-rows-1103.4780</loc><lastmod>2012-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-degree-map-on-unimodular-rows-1103.4780"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-degree-map-on-unimodular-rows-1103.4780"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-the-conormal-module-of-an-ideal-1103.5518</loc><lastmod>2011-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-the-conormal-module-of-an-ideal-1103.5518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-the-conormal-module-of-an-ideal-1103.5518"/></url>
<url><loc>https://scifaro.com/en/abs/are-symbolic-powers-highly-evolved-1103.5809</loc><lastmod>2011-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/are-symbolic-powers-highly-evolved-1103.5809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/are-symbolic-powers-highly-evolved-1103.5809"/></url>
<url><loc>https://scifaro.com/en/abs/galois-extensions-plus-closure-and-maps-on-local-cohomology-1104.0413</loc><lastmod>2012-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-extensions-plus-closure-and-maps-on-local-cohomology-1104.0413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-extensions-plus-closure-and-maps-on-local-cohomology-1104.0413"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-edge-ideals-1104.1018</loc><lastmod>2011-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-edge-ideals-1104.1018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-edge-ideals-1104.1018"/></url>
<url><loc>https://scifaro.com/en/abs/topological-and-algebraic-structures-on-the-ring-of-fermat-reals-1104.1492</loc><lastmod>2014-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-and-algebraic-structures-on-the-ring-of-fermat-reals-1104.1492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-and-algebraic-structures-on-the-ring-of-fermat-reals-1104.1492"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-numerical-semigroups-with-multiplicity-three-and-four-1104.1902</loc><lastmod>2011-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-numerical-semigroups-with-multiplicity-three-and-four-1104.1902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-numerical-semigroups-with-multiplicity-three-and-four-1104.1902"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-compatibly-frobenius-split-subvarieties-1104.1937</loc><lastmod>2012-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-compatibly-frobenius-split-subvarieties-1104.1937"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-compatibly-frobenius-split-subvarieties-1104.1937"/></url>
<url><loc>https://scifaro.com/en/abs/external-zonotopal-algebra-1104.2072</loc><lastmod>2011-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/external-zonotopal-algebra-1104.2072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/external-zonotopal-algebra-1104.2072"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-and-complete-k-partite-hypergraphs-1104.2412</loc><lastmod>2012-02-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-and-complete-k-partite-hypergraphs-1104.2412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-and-complete-k-partite-hypergraphs-1104.2412"/></url>
<url><loc>https://scifaro.com/en/abs/state-morphism-algebras-general-approach-1104.2579</loc><lastmod>2011-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/state-morphism-algebras-general-approach-1104.2579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/state-morphism-algebras-general-approach-1104.2579"/></url>
<url><loc>https://scifaro.com/en/abs/a-direct-limit-for-limit-hilbert-kunz-multiplicity-for-smooth-projective-curves-1104.2662</loc><lastmod>2012-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-direct-limit-for-limit-hilbert-kunz-multiplicity-for-smooth-projective-curves-1104.2662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-direct-limit-for-limit-hilbert-kunz-multiplicity-for-smooth-projective-curves-1104.2662"/></url>
<url><loc>https://scifaro.com/en/abs/computing-border-bases-without-using-a-term-ordering-1104.2724</loc><lastmod>2025-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-border-bases-without-using-a-term-ordering-1104.2724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-border-bases-without-using-a-term-ordering-1104.2724"/></url>
<url><loc>https://scifaro.com/en/abs/monoid-valuations-and-value-ordered-supervaluations-1104.2753</loc><lastmod>2011-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monoid-valuations-and-value-ordered-supervaluations-1104.2753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monoid-valuations-and-value-ordered-supervaluations-1104.2753"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-properties-and-characterization-of-glued-semigroups-1104.2835</loc><lastmod>2015-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-properties-and-characterization-of-glued-semigroups-1104.2835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-properties-and-characterization-of-glued-semigroups-1104.2835"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-partial-parameterized-picard-vessiot-extensions-over-fields-with-algebraically-closed-constants-1104.3514</loc><lastmod>2011-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-partial-parameterized-picard-vessiot-extensions-over-fields-with-algebraically-closed-constants-1104.3514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-partial-parameterized-picard-vessiot-extensions-over-fields-with-algebraically-closed-constants-1104.3514"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-of-graded-gorenstein-rings-1104.4236</loc><lastmod>2011-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-of-graded-gorenstein-rings-1104.4236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-of-graded-gorenstein-rings-1104.4236"/></url>
<url><loc>https://scifaro.com/en/abs/higher-k-theory-of-polynomial-categories-1104.4240</loc><lastmod>2011-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-k-theory-of-polynomial-categories-1104.4240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-k-theory-of-polynomial-categories-1104.4240"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-koszul-resolutions-1104.4242</loc><lastmod>2011-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-koszul-resolutions-1104.4242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-koszul-resolutions-1104.4242"/></url>
<url><loc>https://scifaro.com/en/abs/pure-simplicial-complexes-and-well-covered-graphs-1104.4556</loc><lastmod>2012-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pure-simplicial-complexes-and-well-covered-graphs-1104.4556"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pure-simplicial-complexes-and-well-covered-graphs-1104.4556"/></url>
<url><loc>https://scifaro.com/en/abs/universally-koszul-algebras-defined-by-graphs-1104.4619</loc><lastmod>2013-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universally-koszul-algebras-defined-by-graphs-1104.4619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universally-koszul-algebras-defined-by-graphs-1104.4619"/></url>
<url><loc>https://scifaro.com/en/abs/a-groebner-bases-algorithm-for-the-computation-of-the-cohomology-of-lie-super-algebras-1104.5300</loc><lastmod>2011-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-groebner-bases-algorithm-for-the-computation-of-the-cohomology-of-lie-super-algebras-1104.5300"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-groebner-bases-algorithm-for-the-computation-of-the-cohomology-of-lie-super-algebras-1104.5300"/></url>
<url><loc>https://scifaro.com/en/abs/an-inclusion-result-for-dagger-closure-in-certain-section-rings-of-abelian-varieties-1104.5365</loc><lastmod>2013-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-inclusion-result-for-dagger-closure-in-certain-section-rings-of-abelian-varieties-1104.5365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-inclusion-result-for-dagger-closure-in-certain-section-rings-of-abelian-varieties-1104.5365"/></url>
<url><loc>https://scifaro.com/en/abs/graph-and-depth-of-a-monomial-squarefree-ideal-1104.5596</loc><lastmod>2011-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graph-and-depth-of-a-monomial-squarefree-ideal-1104.5596"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graph-and-depth-of-a-monomial-squarefree-ideal-1104.5596"/></url>
<url><loc>https://scifaro.com/en/abs/integer-valued-polynomials-t-closure-and-associated-primes-1105.0142</loc><lastmod>2011-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integer-valued-polynomials-t-closure-and-associated-primes-1105.0142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integer-valued-polynomials-t-closure-and-associated-primes-1105.0142"/></url>
<url><loc>https://scifaro.com/en/abs/nonstandard-methods-for-bounds-in-differential-polynomial-rings-1105.0600</loc><lastmod>2011-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nonstandard-methods-for-bounds-in-differential-polynomial-rings-1105.0600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nonstandard-methods-for-bounds-in-differential-polynomial-rings-1105.0600"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-semigroups-of-two-dimensional-local-rings-1105.1448</loc><lastmod>2014-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-semigroups-of-two-dimensional-local-rings-1105.1448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-semigroups-of-two-dimensional-local-rings-1105.1448"/></url>
<url><loc>https://scifaro.com/en/abs/lifting-finite-self-maps-of-equicharacteristic-complete-local-rings-1105.1849</loc><lastmod>2011-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lifting-finite-self-maps-of-equicharacteristic-complete-local-rings-1105.1849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lifting-finite-self-maps-of-equicharacteristic-complete-local-rings-1105.1849"/></url>
<url><loc>https://scifaro.com/en/abs/coordinate-rings-for-the-moduli-of-sl-2-c-quasi-parabolic-principal-bundles-on-a-curve-and-toric-fiber-products-1105.2045</loc><lastmod>2016-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coordinate-rings-for-the-moduli-of-sl-2-c-quasi-parabolic-principal-bundles-on-a-curve-and-toric-fiber-products-1105.2045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coordinate-rings-for-the-moduli-of-sl-2-c-quasi-parabolic-principal-bundles-on-a-curve-and-toric-fiber-products-1105.2045"/></url>
<url><loc>https://scifaro.com/en/abs/shapes-of-free-resolutions-over-a-local-ring-1105.2244</loc><lastmod>2012-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shapes-of-free-resolutions-over-a-local-ring-1105.2244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shapes-of-free-resolutions-over-a-local-ring-1105.2244"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-defect-stabilization-of-powers-of-an-ideal-1105.2260</loc><lastmod>2011-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-defect-stabilization-of-powers-of-an-ideal-1105.2260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-defect-stabilization-of-powers-of-an-ideal-1105.2260"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-the-first-hilbert-coefficient-1105.2325</loc><lastmod>2011-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-the-first-hilbert-coefficient-1105.2325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-the-first-hilbert-coefficient-1105.2325"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-dimension-and-a-generalization-of-ischebeck-formula-1105.2399</loc><lastmod>2011-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-dimension-and-a-generalization-of-ischebeck-formula-1105.2399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-dimension-and-a-generalization-of-ischebeck-formula-1105.2399"/></url>
<url><loc>https://scifaro.com/en/abs/relative-cohen-macaulayness-and-relative-unmixedness-of-bigraded-modules-1105.3091</loc><lastmod>2011-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-cohen-macaulayness-and-relative-unmixedness-of-bigraded-modules-1105.3091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-cohen-macaulayness-and-relative-unmixedness-of-bigraded-modules-1105.3091"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-classes-of-integral-domains-defined-by-krull-s-boldsymbol-a-b-operations-1105.3319</loc><lastmod>2011-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-classes-of-integral-domains-defined-by-krull-s-boldsymbol-a-b-operations-1105.3319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-classes-of-integral-domains-defined-by-krull-s-boldsymbol-a-b-operations-1105.3319"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-cut-ideals-1105.3564</loc><lastmod>2011-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-cut-ideals-1105.3564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-cut-ideals-1105.3564"/></url>
<url><loc>https://scifaro.com/en/abs/a-cohomological-study-of-local-rings-of-embedding-codepth-3-1105.3991</loc><lastmod>2012-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-cohomological-study-of-local-rings-of-embedding-codepth-3-1105.3991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-cohomological-study-of-local-rings-of-embedding-codepth-3-1105.3991"/></url>
<url><loc>https://scifaro.com/en/abs/centrally-symmetric-configurations-of-integer-matrices-1105.4322</loc><lastmod>2015-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/centrally-symmetric-configurations-of-integer-matrices-1105.4322"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/centrally-symmetric-configurations-of-integer-matrices-1105.4322"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-invariants-of-the-splitting-algebra-1105.4478</loc><lastmod>2011-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-invariants-of-the-splitting-algebra-1105.4478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-invariants-of-the-splitting-algebra-1105.4478"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-prime-submodules-and-developed-zariski-topology-1105.4496</loc><lastmod>2011-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-prime-submodules-and-developed-zariski-topology-1105.4496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-prime-submodules-and-developed-zariski-topology-1105.4496"/></url>
<url><loc>https://scifaro.com/en/abs/a-semilattice-structure-for-the-set-of-numerical-semigroups-with-fixed-frobenius-number-1105.4600</loc><lastmod>2011-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-semilattice-structure-for-the-set-of-numerical-semigroups-with-fixed-frobenius-number-1105.4600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-semilattice-structure-for-the-set-of-numerical-semigroups-with-fixed-frobenius-number-1105.4600"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-finite-local-principal-ideal-rings-1105.5179</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-finite-local-principal-ideal-rings-1105.5179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-finite-local-principal-ideal-rings-1105.5179"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-and-combinatorial-methods-in-the-study-of-symbolic-powers-and-equations-defining-varieties-1105.5507</loc><lastmod>2011-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-and-combinatorial-methods-in-the-study-of-symbolic-powers-and-equations-defining-varieties-1105.5507"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-and-combinatorial-methods-in-the-study-of-symbolic-powers-and-equations-defining-varieties-1105.5507"/></url>
<url><loc>https://scifaro.com/en/abs/a-parallel-buchberger-algorithm-for-multigraded-ideals-1105.5509</loc><lastmod>2011-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-parallel-buchberger-algorithm-for-multigraded-ideals-1105.5509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-parallel-buchberger-algorithm-for-multigraded-ideals-1105.5509"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-modules-of-borel-type-1105.5638</loc><lastmod>2011-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-modules-of-borel-type-1105.5638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-modules-of-borel-type-1105.5638"/></url>
<url><loc>https://scifaro.com/en/abs/integral-extensions-and-the-a-invariant-1105.5722</loc><lastmod>2011-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-extensions-and-the-a-invariant-1105.5722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-extensions-and-the-a-invariant-1105.5722"/></url>
<url><loc>https://scifaro.com/en/abs/equations-and-syzygies-of-some-kalman-varieties-1105.5756</loc><lastmod>2012-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-and-syzygies-of-some-kalman-varieties-1105.5756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-and-syzygies-of-some-kalman-varieties-1105.5756"/></url>
<url><loc>https://scifaro.com/en/abs/finitistic-weak-dimension-of-commutative-arithmetical-rings-1105.5960</loc><lastmod>2012-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitistic-weak-dimension-of-commutative-arithmetical-rings-1105.5960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitistic-weak-dimension-of-commutative-arithmetical-rings-1105.5960"/></url>
<url><loc>https://scifaro.com/en/abs/enumerations-deciding-the-weak-lefschetz-property-1105.6062</loc><lastmod>2011-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/enumerations-deciding-the-weak-lefschetz-property-1105.6062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/enumerations-deciding-the-weak-lefschetz-property-1105.6062"/></url>
<url><loc>https://scifaro.com/en/abs/on-graphs-related-to-co-maximal-ideals-of-a-commutative-ring-1106.0072</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graphs-related-to-co-maximal-ideals-of-a-commutative-ring-1106.0072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graphs-related-to-co-maximal-ideals-of-a-commutative-ring-1106.0072"/></url>
<url><loc>https://scifaro.com/en/abs/generators-and-dimensions-of-derived-categories-1106.0205</loc><lastmod>2011-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-and-dimensions-of-derived-categories-1106.0205"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-and-dimensions-of-derived-categories-1106.0205"/></url>
<url><loc>https://scifaro.com/en/abs/boij-s-oderberg-theory-introduction-and-survey-1106.0381</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boij-s-oderberg-theory-introduction-and-survey-1106.0381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boij-s-oderberg-theory-introduction-and-survey-1106.0381"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-diagonal-ideals-1106.0741</loc><lastmod>2011-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-diagonal-ideals-1106.0741"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-diagonal-ideals-1106.0741"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-diagonal-ideals-1106.0742</loc><lastmod>2011-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-diagonal-ideals-1106.0742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-diagonal-ideals-1106.0742"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-maps-with-invertible-sums-of-jacobian-matrices-and-of-directional-derivatives-1106.0792</loc><lastmod>2013-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-maps-with-invertible-sums-of-jacobian-matrices-and-of-directional-derivatives-1106.0792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-maps-with-invertible-sums-of-jacobian-matrices-and-of-directional-derivatives-1106.0792"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-quadratic-polynomials-1106.0839</loc><lastmod>2011-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-quadratic-polynomials-1106.0839"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-quadratic-polynomials-1106.0839"/></url>
<url><loc>https://scifaro.com/en/abs/a-guide-to-closure-operations-in-commutative-algebra-1106.1119</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-guide-to-closure-operations-in-commutative-algebra-1106.1119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-guide-to-closure-operations-in-commutative-algebra-1106.1119"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-rings-1106.1301</loc><lastmod>2011-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-rings-1106.1301"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-rings-1106.1301"/></url>
<url><loc>https://scifaro.com/en/abs/factoring-polynomials-in-the-ring-of-formal-power-series-over-z-1106.1425</loc><lastmod>2014-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factoring-polynomials-in-the-ring-of-formal-power-series-over-z-1106.1425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factoring-polynomials-in-the-ring-of-formal-power-series-over-z-1106.1425"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-ii-arbitrary-minors-1106.1833</loc><lastmod>2013-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-ii-arbitrary-minors-1106.1833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-desingularization-of-determinantal-varieties-ii-arbitrary-minors-1106.1833"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-modules-with-initially-linear-syzygies-1106.1913</loc><lastmod>2011-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-modules-with-initially-linear-syzygies-1106.1913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-modules-with-initially-linear-syzygies-1106.1913"/></url>
<url><loc>https://scifaro.com/en/abs/linear-quotients-of-the-square-of-the-edge-ideal-of-the-anticycle-1106.2348</loc><lastmod>2011-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-quotients-of-the-square-of-the-edge-ideal-of-the-anticycle-1106.2348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-quotients-of-the-square-of-the-edge-ideal-of-the-anticycle-1106.2348"/></url>
<url><loc>https://scifaro.com/en/abs/stabilization-of-betti-tables-1106.2355</loc><lastmod>2011-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stabilization-of-betti-tables-1106.2355"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stabilization-of-betti-tables-1106.2355"/></url>
<url><loc>https://scifaro.com/en/abs/an-application-of-generalized-matlis-duality-for-quasi-f-modules-to-the-artinianness-of-local-cohomology-modules-1106.2639</loc><lastmod>2011-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-application-of-generalized-matlis-duality-for-quasi-f-modules-to-the-artinianness-of-local-cohomology-modules-1106.2639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-application-of-generalized-matlis-duality-for-quasi-f-modules-to-the-artinianness-of-local-cohomology-modules-1106.2639"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-of-multivariate-polynomial-evaluation-1106.2720</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-of-multivariate-polynomial-evaluation-1106.2720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-of-multivariate-polynomial-evaluation-1106.2720"/></url>
<url><loc>https://scifaro.com/en/abs/counting-generating-invariants-under-semisimple-group-and-torus-actions-1106.2762</loc><lastmod>2011-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-generating-invariants-under-semisimple-group-and-torus-actions-1106.2762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-generating-invariants-under-semisimple-group-and-torus-actions-1106.2762"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-algebras-presented-by-quadrics-1106.2825</loc><lastmod>2011-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-algebras-presented-by-quadrics-1106.2825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-algebras-presented-by-quadrics-1106.2825"/></url>
<url><loc>https://scifaro.com/en/abs/variation-of-the-first-hilbert-coefficients-of-parameters-with-a-common-integral-closure-1106.3140</loc><lastmod>2011-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/variation-of-the-first-hilbert-coefficients-of-parameters-with-a-common-integral-closure-1106.3140"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/variation-of-the-first-hilbert-coefficients-of-parameters-with-a-common-integral-closure-1106.3140"/></url>
<url><loc>https://scifaro.com/en/abs/continuous-closure-axes-closure-and-natural-closure-1106.3462</loc><lastmod>2015-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/continuous-closure-axes-closure-and-natural-closure-1106.3462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/continuous-closure-axes-closure-and-natural-closure-1106.3462"/></url>
<url><loc>https://scifaro.com/en/abs/tame-loci-of-certain-local-cohomology-modules-1106.3638</loc><lastmod>2011-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-loci-of-certain-local-cohomology-modules-1106.3638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-loci-of-certain-local-cohomology-modules-1106.3638"/></url>
<url><loc>https://scifaro.com/en/abs/syzygy-theorems-via-comparison-of-order-ideals-on-a-hypersurface-1106.3663</loc><lastmod>2011-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygy-theorems-via-comparison-of-order-ideals-on-a-hypersurface-1106.3663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygy-theorems-via-comparison-of-order-ideals-on-a-hypersurface-1106.3663"/></url>
<url><loc>https://scifaro.com/en/abs/on-bounding-problems-on-totally-ordered-commutative-semi-groups-1106.3820</loc><lastmod>2011-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-bounding-problems-on-totally-ordered-commutative-semi-groups-1106.3820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-bounding-problems-on-totally-ordered-commutative-semi-groups-1106.3820"/></url>
<url><loc>https://scifaro.com/en/abs/a-short-note-on-the-thom-boardman-symbols-of-differentiable-maps-1106.3920</loc><lastmod>2011-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-short-note-on-the-thom-boardman-symbols-of-differentiable-maps-1106.3920"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-short-note-on-the-thom-boardman-symbols-of-differentiable-maps-1106.3920"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-classes-of-closely-related-monomial-ideals-1106.3922</loc><lastmod>2011-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-classes-of-closely-related-monomial-ideals-1106.3922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-classes-of-closely-related-monomial-ideals-1106.3922"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-quasi-symbolic-and-bracket-powers-of-borel-type-ideals-1106.4029</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-quasi-symbolic-and-bracket-powers-of-borel-type-ideals-1106.4029"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-quasi-symbolic-and-bracket-powers-of-borel-type-ideals-1106.4029"/></url>
<url><loc>https://scifaro.com/en/abs/sylvester-s-double-sums-an-inductive-proof-of-the-general-case-1106.4770</loc><lastmod>2011-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sylvester-s-double-sums-an-inductive-proof-of-the-general-case-1106.4770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sylvester-s-double-sums-an-inductive-proof-of-the-general-case-1106.4770"/></url>
<url><loc>https://scifaro.com/en/abs/g-gorenstein-modules-1106.4972</loc><lastmod>2011-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-gorenstein-modules-1106.4972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-gorenstein-modules-1106.4972"/></url>
<url><loc>https://scifaro.com/en/abs/a-residue-calculus-approach-to-the-uniform-artin-rees-lemma-1106.5154</loc><lastmod>2012-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-residue-calculus-approach-to-the-uniform-artin-rees-lemma-1106.5154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-residue-calculus-approach-to-the-uniform-artin-rees-lemma-1106.5154"/></url>
<url><loc>https://scifaro.com/en/abs/subalgebras-of-the-polynomial-algebra-in-positive-characteristic-and-the-jacobian-1106.5190</loc><lastmod>2011-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subalgebras-of-the-polynomial-algebra-in-positive-characteristic-and-the-jacobian-1106.5190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subalgebras-of-the-polynomial-algebra-in-positive-characteristic-and-the-jacobian-1106.5190"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-modules-over-lie-algebroids-1106.5395</loc><lastmod>2015-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-modules-over-lie-algebroids-1106.5395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-modules-over-lie-algebroids-1106.5395"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-1106.5686</loc><lastmod>2011-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-1106.5686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-1106.5686"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-binomial-ideals-in-macaulay-2-1106.5968</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-binomial-ideals-in-macaulay-2-1106.5968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-binomial-ideals-in-macaulay-2-1106.5968"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-on-the-weak-global-dimension-of-gaussian-rings-1107.0440</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-on-the-weak-global-dimension-of-gaussian-rings-1107.0440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-on-the-weak-global-dimension-of-gaussian-rings-1107.0440"/></url>
<url><loc>https://scifaro.com/en/abs/n-strongly-gorenstein-rings-1107.0446</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-strongly-gorenstein-rings-1107.0446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-strongly-gorenstein-rings-1107.0446"/></url>
<url><loc>https://scifaro.com/en/abs/on-p-ring-1107.0447</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-p-ring-1107.0447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-p-ring-1107.0447"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-squarefree-monomial-ideals-generated-by-five-elements-or-with-arithmetic-degree-four-1107.0563</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-squarefree-monomial-ideals-generated-by-five-elements-or-with-arithmetic-degree-four-1107.0563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-squarefree-monomial-ideals-generated-by-five-elements-or-with-arithmetic-degree-four-1107.0563"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-of-polynomials-1107.0687</loc><lastmod>2011-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-of-polynomials-1107.0687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-of-polynomials-1107.0687"/></url>
<url><loc>https://scifaro.com/en/abs/mennicke-symbols-k-cohomology-and-a-bass-kubota-theorem-1107.1042</loc><lastmod>2011-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mennicke-symbols-k-cohomology-and-a-bass-kubota-theorem-1107.1042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mennicke-symbols-k-cohomology-and-a-bass-kubota-theorem-1107.1042"/></url>
<url><loc>https://scifaro.com/en/abs/on-stably-free-modules-over-affine-algebras-1107.1051</loc><lastmod>2012-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stably-free-modules-over-affine-algebras-1107.1051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stably-free-modules-over-affine-algebras-1107.1051"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-of-pairs-and-the-asymptotic-behavior-of-frobenius-splittings-1107.1082</loc><lastmod>2012-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-of-pairs-and-the-asymptotic-behavior-of-frobenius-splittings-1107.1082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-of-pairs-and-the-asymptotic-behavior-of-frobenius-splittings-1107.1082"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-computation-of-the-frobenius-number-of-a-numerical-semigroup-1107.1171</loc><lastmod>2014-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-computation-of-the-frobenius-number-of-a-numerical-semigroup-1107.1171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-computation-of-the-frobenius-number-of-a-numerical-semigroup-1107.1171"/></url>
<url><loc>https://scifaro.com/en/abs/on-rees-algebras-and-invariants-for-singularities-over-perfect-fields-1107.1797</loc><lastmod>2012-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rees-algebras-and-invariants-for-singularities-over-perfect-fields-1107.1797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rees-algebras-and-invariants-for-singularities-over-perfect-fields-1107.1797"/></url>
<url><loc>https://scifaro.com/en/abs/iterative-differential-embedding-problems-in-positive-characteristic-1107.1962</loc><lastmod>2011-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterative-differential-embedding-problems-in-positive-characteristic-1107.1962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterative-differential-embedding-problems-in-positive-characteristic-1107.1962"/></url>
<url><loc>https://scifaro.com/en/abs/cousin-complexes-and-applications-1107.2102</loc><lastmod>2011-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cousin-complexes-and-applications-1107.2102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cousin-complexes-and-applications-1107.2102"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-with-respect-to-multigraded-ideals-1107.2494</loc><lastmod>2012-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-with-respect-to-multigraded-ideals-1107.2494"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-with-respect-to-multigraded-ideals-1107.2494"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-minimal-number-of-generators-of-square-free-monomial-ideals-1107.2621</loc><lastmod>2011-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-minimal-number-of-generators-of-square-free-monomial-ideals-1107.2621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-minimal-number-of-generators-of-square-free-monomial-ideals-1107.2621"/></url>
<url><loc>https://scifaro.com/en/abs/the-kaplansky-condition-and-rings-of-almost-stable-range-1-1107.3000</loc><lastmod>2011-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-kaplansky-condition-and-rings-of-almost-stable-range-1-1107.3000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-kaplansky-condition-and-rings-of-almost-stable-range-1-1107.3000"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-tate-homology-and-depth-formulas-over-local-rings-1107.3102</loc><lastmod>2013-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-tate-homology-and-depth-formulas-over-local-rings-1107.3102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-tate-homology-and-depth-formulas-over-local-rings-1107.3102"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-conjecture-on-intersection-of-three-monomial-primary-ideals-1107.3211</loc><lastmod>2011-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-conjecture-on-intersection-of-three-monomial-primary-ideals-1107.3211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-conjecture-on-intersection-of-three-monomial-primary-ideals-1107.3211"/></url>
<url><loc>https://scifaro.com/en/abs/several-inequalities-regarding-sdepth-1107.3359</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/several-inequalities-regarding-sdepth-1107.3359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/several-inequalities-regarding-sdepth-1107.3359"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-level-algebras-of-codimension-3-1107.3899</loc><lastmod>2011-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-level-algebras-of-codimension-3-1107.3899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-level-algebras-of-codimension-3-1107.3899"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-ideal-of-an-algebraic-toric-set-and-its-parameterized-linear-codes-1107.4284</loc><lastmod>2012-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-ideal-of-an-algebraic-toric-set-and-its-parameterized-linear-codes-1107.4284"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-ideal-of-an-algebraic-toric-set-and-its-parameterized-linear-codes-1107.4284"/></url>
<url><loc>https://scifaro.com/en/abs/the-quillensuslin-package-for-macaulay2-1107.4383</loc><lastmod>2013-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-quillensuslin-package-for-macaulay2-1107.4383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-quillensuslin-package-for-macaulay2-1107.4383"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-koszul-property-of-toric-face-rings-1107.4503</loc><lastmod>2012-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-koszul-property-of-toric-face-rings-1107.4503"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-koszul-property-of-toric-face-rings-1107.4503"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-commutative-monoid-congruences-and-binomial-ideals-1107.4699</loc><lastmod>2015-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-commutative-monoid-congruences-and-binomial-ideals-1107.4699"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-commutative-monoid-congruences-and-binomial-ideals-1107.4699"/></url>
<url><loc>https://scifaro.com/en/abs/factoring-formal-power-series-over-principal-ideal-domains-1107.4860</loc><lastmod>2012-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factoring-formal-power-series-over-principal-ideal-domains-1107.4860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factoring-formal-power-series-over-principal-ideal-domains-1107.4860"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-versus-regular-powers-of-ideals-of-general-points-in-p-1-x-p-1-1107.4906</loc><lastmod>2012-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-versus-regular-powers-of-ideals-of-general-points-in-p-1-x-p-1-1107.4906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-versus-regular-powers-of-ideals-of-general-points-in-p-1-x-p-1-1107.4906"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-generically-complete-intersection-monomial-ideals-1107.4980</loc><lastmod>2011-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-generically-complete-intersection-monomial-ideals-1107.4980"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-generically-complete-intersection-monomial-ideals-1107.4980"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-generalized-local-cohomology-modules-1107.5079</loc><lastmod>2013-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-generalized-local-cohomology-modules-1107.5079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-generalized-local-cohomology-modules-1107.5079"/></url>
<url><loc>https://scifaro.com/en/abs/sperner-property-and-finite-dimensional-gorenstein-algebras-associated-to-matroids-1107.5094</loc><lastmod>2011-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sperner-property-and-finite-dimensional-gorenstein-algebras-associated-to-matroids-1107.5094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sperner-property-and-finite-dimensional-gorenstein-algebras-associated-to-matroids-1107.5094"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-of-monomial-ideals-1107.5230</loc><lastmod>2011-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-monomial-ideals-1107.5230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-monomial-ideals-1107.5230"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-primes-of-ideals-arising-from-conditional-independence-statements-1107.5604</loc><lastmod>2012-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-primes-of-ideals-arising-from-conditional-independence-statements-1107.5604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-primes-of-ideals-arising-from-conditional-independence-statements-1107.5604"/></url>
<url><loc>https://scifaro.com/en/abs/toric-topology-chapter-3-commutative-and-homological-algebra-of-face-rings-1108.0181</loc><lastmod>2012-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-topology-chapter-3-commutative-and-homological-algebra-of-face-rings-1108.0181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-topology-chapter-3-commutative-and-homological-algebra-of-face-rings-1108.0181"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-tropical-dual-nullstellensatz-1108.0519</loc><lastmod>2011-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-tropical-dual-nullstellensatz-1108.0519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-tropical-dual-nullstellensatz-1108.0519"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-finiteness-of-generalized-local-cohomology-modules-1108.0549</loc><lastmod>2011-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-finiteness-of-generalized-local-cohomology-modules-1108.0549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-finiteness-of-generalized-local-cohomology-modules-1108.0549"/></url>
<url><loc>https://scifaro.com/en/abs/algorithmic-thomas-decomposition-of-algebraic-and-differential-systems-1108.0817</loc><lastmod>2012-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithmic-thomas-decomposition-of-algebraic-and-differential-systems-1108.0817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithmic-thomas-decomposition-of-algebraic-and-differential-systems-1108.0817"/></url>
<url><loc>https://scifaro.com/en/abs/balance-with-unbounded-complexes-1108.1100</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/balance-with-unbounded-complexes-1108.1100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/balance-with-unbounded-complexes-1108.1100"/></url>
<url><loc>https://scifaro.com/en/abs/equality-of-linear-and-symplectic-orbits-1108.1288</loc><lastmod>2015-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equality-of-linear-and-symplectic-orbits-1108.1288"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equality-of-linear-and-symplectic-orbits-1108.1288"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-invariants-of-fat-points-using-a-coding-theory-construction-1108.1359</loc><lastmod>2012-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-invariants-of-fat-points-using-a-coding-theory-construction-1108.1359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-invariants-of-fat-points-using-a-coding-theory-construction-1108.1359"/></url>
<url><loc>https://scifaro.com/en/abs/big-tight-closure-test-elements-for-some-non-reduced-excellent-rings-1108.1660</loc><lastmod>2011-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-tight-closure-test-elements-for-some-non-reduced-excellent-rings-1108.1660"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-tight-closure-test-elements-for-some-non-reduced-excellent-rings-1108.1660"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-seminormal-simplicial-affine-semigroup-rings-1108.1737</loc><lastmod>2011-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-seminormal-simplicial-affine-semigroup-rings-1108.1737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-seminormal-simplicial-affine-semigroup-rings-1108.1737"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-monoids-basics-canonical-factorization-and-lifting-ghosts-to-tangibles-1108.1880</loc><lastmod>2011-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-monoids-basics-canonical-factorization-and-lifting-ghosts-to-tangibles-1108.1880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-monoids-basics-canonical-factorization-and-lifting-ghosts-to-tangibles-1108.1880"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-of-finite-graphs-and-adjacent-2-minors-1108.2850</loc><lastmod>2014-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-of-finite-graphs-and-adjacent-2-minors-1108.2850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-of-finite-graphs-and-adjacent-2-minors-1108.2850"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-graded-free-resolutions-for-monomial-curves-defined-by-arithmetic-sequences-1108.3203</loc><lastmod>2011-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-graded-free-resolutions-for-monomial-curves-defined-by-arithmetic-sequences-1108.3203"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-graded-free-resolutions-for-monomial-curves-defined-by-arithmetic-sequences-1108.3203"/></url>
<url><loc>https://scifaro.com/en/abs/noether-s-problem-for-the-groups-with-a-cyclic-subgroup-of-index-4-1108.3379</loc><lastmod>2011-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-s-problem-for-the-groups-with-a-cyclic-subgroup-of-index-4-1108.3379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-s-problem-for-the-groups-with-a-cyclic-subgroup-of-index-4-1108.3379"/></url>
<url><loc>https://scifaro.com/en/abs/determinantal-facet-ideals-1108.3667</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determinantal-facet-ideals-1108.3667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determinantal-facet-ideals-1108.3667"/></url>
<url><loc>https://scifaro.com/en/abs/criteria-for-componentwise-linearity-1108.3921</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/criteria-for-componentwise-linearity-1108.3921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/criteria-for-componentwise-linearity-1108.3921"/></url>
<url><loc>https://scifaro.com/en/abs/generic-tropical-varieties-on-subvarieties-and-in-the-non-constant-coefficient-case-1108.4268</loc><lastmod>2011-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-tropical-varieties-on-subvarieties-and-in-the-non-constant-coefficient-case-1108.4268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-tropical-varieties-on-subvarieties-and-in-the-non-constant-coefficient-case-1108.4268"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-properties-of-direct-summands-1108.4455</loc><lastmod>2012-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-properties-of-direct-summands-1108.4455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-properties-of-direct-summands-1108.4455"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-equivalence-of-fsf-and-weakly-laskerian-classes-1108.4564</loc><lastmod>2025-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equivalence-of-fsf-and-weakly-laskerian-classes-1108.4564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equivalence-of-fsf-and-weakly-laskerian-classes-1108.4564"/></url>
<url><loc>https://scifaro.com/en/abs/the-snake-lemma-1108.5684</loc><lastmod>2011-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-snake-lemma-1108.5684"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-snake-lemma-1108.5684"/></url>
<url><loc>https://scifaro.com/en/abs/indecomposable-injective-modules-of-finite-malcev-rank-over-local-commutative-rings-1108.5708</loc><lastmod>2014-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indecomposable-injective-modules-of-finite-malcev-rank-over-local-commutative-rings-1108.5708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indecomposable-injective-modules-of-finite-malcev-rank-over-local-commutative-rings-1108.5708"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-powers-of-ideals-artin-rees-numbers-of-syzygies-and-the-golod-property-1108.5862</loc><lastmod>2011-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-powers-of-ideals-artin-rees-numbers-of-syzygies-and-the-golod-property-1108.5862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-powers-of-ideals-artin-rees-numbers-of-syzygies-and-the-golod-property-1108.5862"/></url>
<url><loc>https://scifaro.com/en/abs/analytic-deviation-one-ideals-and-test-modules-1108.5933</loc><lastmod>2011-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analytic-deviation-one-ideals-and-test-modules-1108.5933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analytic-deviation-one-ideals-and-test-modules-1108.5933"/></url>
<url><loc>https://scifaro.com/en/abs/closure-of-the-cone-of-sums-of-2d-powers-in-certain-weighted-ell-1-seminorm-topologies-1109.0048</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closure-of-the-cone-of-sums-of-2d-powers-in-certain-weighted-ell-1-seminorm-topologies-1109.0048"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closure-of-the-cone-of-sums-of-2d-powers-in-certain-weighted-ell-1-seminorm-topologies-1109.0048"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-radical-of-endomorphism-rings-of-local-modules-1109.0203</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-radical-of-endomorphism-rings-of-local-modules-1109.0203"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-radical-of-endomorphism-rings-of-local-modules-1109.0203"/></url>
<url><loc>https://scifaro.com/en/abs/almost-direct-summands-1109.0356</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-direct-summands-1109.0356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-direct-summands-1109.0356"/></url>
<url><loc>https://scifaro.com/en/abs/the-transcendence-degree-over-a-ring-1109.1391</loc><lastmod>2011-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-transcendence-degree-over-a-ring-1109.1391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-transcendence-degree-over-a-ring-1109.1391"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-keller-maps-1109.2113</loc><lastmod>2013-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-keller-maps-1109.2113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-keller-maps-1109.2113"/></url>
<url><loc>https://scifaro.com/en/abs/parameterized-affine-codes-1109.2353</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parameterized-affine-codes-1109.2353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parameterized-affine-codes-1109.2353"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-graded-rings-and-basic-sequences-1109.2365</loc><lastmod>2011-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-graded-rings-and-basic-sequences-1109.2365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-graded-rings-and-basic-sequences-1109.2365"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-some-classes-of-monomial-ideals-1109.2463</loc><lastmod>2011-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-some-classes-of-monomial-ideals-1109.2463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-some-classes-of-monomial-ideals-1109.2463"/></url>
<url><loc>https://scifaro.com/en/abs/finite-injective-dimension-over-rings-with-noetherian-cohomology-1109.2814</loc><lastmod>2012-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-injective-dimension-over-rings-with-noetherian-cohomology-1109.2814"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-injective-dimension-over-rings-with-noetherian-cohomology-1109.2814"/></url>
<url><loc>https://scifaro.com/en/abs/plane-cremona-maps-saturation-and-regularity-of-the-base-ideal-1109.2815</loc><lastmod>2012-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/plane-cremona-maps-saturation-and-regularity-of-the-base-ideal-1109.2815"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/plane-cremona-maps-saturation-and-regularity-of-the-base-ideal-1109.2815"/></url>
<url><loc>https://scifaro.com/en/abs/unramified-brauer-groups-for-groups-of-order-p-5-1109.2966</loc><lastmod>2011-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unramified-brauer-groups-for-groups-of-order-p-5-1109.2966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unramified-brauer-groups-for-groups-of-order-p-5-1109.2966"/></url>
<url><loc>https://scifaro.com/en/abs/thick-subcategories-over-gorenstein-local-rings-that-are-locally-hypersurfaces-on-the-punctured-spectra-1109.3120</loc><lastmod>2011-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/thick-subcategories-over-gorenstein-local-rings-that-are-locally-hypersurfaces-on-the-punctured-spectra-1109.3120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/thick-subcategories-over-gorenstein-local-rings-that-are-locally-hypersurfaces-on-the-punctured-spectra-1109.3120"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-double-point-schemes-in-p-2-1109.3610</loc><lastmod>2011-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-double-point-schemes-in-p-2-1109.3610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-double-point-schemes-in-p-2-1109.3610"/></url>
<url><loc>https://scifaro.com/en/abs/flatness-testing-over-singular-bases-1109.3738</loc><lastmod>2017-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flatness-testing-over-singular-bases-1109.3738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flatness-testing-over-singular-bases-1109.3738"/></url>
<url><loc>https://scifaro.com/en/abs/birings-and-plethories-of-integer-valued-polynomials-1109.3848</loc><lastmod>2014-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/birings-and-plethories-of-integer-valued-polynomials-1109.3848"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/birings-and-plethories-of-integer-valued-polynomials-1109.3848"/></url>
<url><loc>https://scifaro.com/en/abs/presentations-and-module-bases-of-integer-valued-polynomial-rings-1109.3921</loc><lastmod>2011-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/presentations-and-module-bases-of-integer-valued-polynomial-rings-1109.3921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/presentations-and-module-bases-of-integer-valued-polynomial-rings-1109.3921"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-resonance-varieties-1109.4015</loc><lastmod>2011-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-resonance-varieties-1109.4015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-resonance-varieties-1109.4015"/></url>
<url><loc>https://scifaro.com/en/abs/finite-lattices-and-gr-obner-bases-1109.4067</loc><lastmod>2011-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-lattices-and-gr-obner-bases-1109.4067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-lattices-and-gr-obner-bases-1109.4067"/></url>
<url><loc>https://scifaro.com/en/abs/log-concavity-of-asymptotic-multigraded-hilbert-series-1109.4135</loc><lastmod>2017-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/log-concavity-of-asymptotic-multigraded-hilbert-series-1109.4135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/log-concavity-of-asymptotic-multigraded-hilbert-series-1109.4135"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-depth-of-graded-modules-over-polynomial-rings-in-two-variables-1109.4593</loc><lastmod>2012-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-depth-of-graded-modules-over-polynomial-rings-in-two-variables-1109.4593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-depth-of-graded-modules-over-polynomial-rings-in-two-variables-1109.4593"/></url>
<url><loc>https://scifaro.com/en/abs/are-complete-intersections-complete-intersections-1109.4921</loc><lastmod>2011-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/are-complete-intersections-complete-intersections-1109.4921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/are-complete-intersections-complete-intersections-1109.4921"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-graded-annihilators-of-right-modules-over-the-frobenius-skew-polynomial-ring-1109.4966</loc><lastmod>2012-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-graded-annihilators-of-right-modules-over-the-frobenius-skew-polynomial-ring-1109.4966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-graded-annihilators-of-right-modules-over-the-frobenius-skew-polynomial-ring-1109.4966"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-of-arbitrary-modules-1109.5055</loc><lastmod>2011-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-of-arbitrary-modules-1109.5055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-of-arbitrary-modules-1109.5055"/></url>
<url><loc>https://scifaro.com/en/abs/fc-sequences-mixed-multiplicities-and-reductions-of-modules-1109.5058</loc><lastmod>2011-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fc-sequences-mixed-multiplicities-and-reductions-of-modules-1109.5058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fc-sequences-mixed-multiplicities-and-reductions-of-modules-1109.5058"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-of-betti-diagrams-over-a-hypersurface-ring-of-low-embedding-dimension-1109.5198</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-of-betti-diagrams-over-a-hypersurface-ring-of-low-embedding-dimension-1109.5198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-of-betti-diagrams-over-a-hypersurface-ring-of-low-embedding-dimension-1109.5198"/></url>
<url><loc>https://scifaro.com/en/abs/the-hilbert-function-of-a-maximal-cohen-macaulay-module-part-ii-1109.5326</loc><lastmod>2011-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hilbert-function-of-a-maximal-cohen-macaulay-module-part-ii-1109.5326"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hilbert-function-of-a-maximal-cohen-macaulay-module-part-ii-1109.5326"/></url>
<url><loc>https://scifaro.com/en/abs/on-quasi-pr-u-fer-and-um-t-domains-1109.5330</loc><lastmod>2011-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-quasi-pr-u-fer-and-um-t-domains-1109.5330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-quasi-pr-u-fer-and-um-t-domains-1109.5330"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-proof-for-the-identities-for-degree-of-syzygies-in-numerical-semigroup-1109.5331</loc><lastmod>2012-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-proof-for-the-identities-for-degree-of-syzygies-in-numerical-semigroup-1109.5331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-proof-for-the-identities-for-degree-of-syzygies-in-numerical-semigroup-1109.5331"/></url>
<url><loc>https://scifaro.com/en/abs/the-chern-numbers-and-euler-characteristics-of-modules-1109.5628</loc><lastmod>2014-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-chern-numbers-and-euler-characteristics-of-modules-1109.5628"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-chern-numbers-and-euler-characteristics-of-modules-1109.5628"/></url>
<url><loc>https://scifaro.com/en/abs/a-tour-of-the-weak-and-strong-lefschetz-properties-1109.5718</loc><lastmod>2011-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-tour-of-the-weak-and-strong-lefschetz-properties-1109.5718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-tour-of-the-weak-and-strong-lefschetz-properties-1109.5718"/></url>
<url><loc>https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-polymatroidal-ideal-1109.5834</loc><lastmod>2011-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-polymatroidal-ideal-1109.5834"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-polymatroidal-ideal-1109.5834"/></url>
<url><loc>https://scifaro.com/en/abs/revisiting-the-spreading-and-covering-numbers-1109.5847</loc><lastmod>2013-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/revisiting-the-spreading-and-covering-numbers-1109.5847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/revisiting-the-spreading-and-covering-numbers-1109.5847"/></url>
<url><loc>https://scifaro.com/en/abs/amalgamated-algebra-extensions-defined-by-von-neumann-regular-and-sft-conditions-1109.6054</loc><lastmod>2011-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/amalgamated-algebra-extensions-defined-by-von-neumann-regular-and-sft-conditions-1109.6054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/amalgamated-algebra-extensions-defined-by-von-neumann-regular-and-sft-conditions-1109.6054"/></url>
<url><loc>https://scifaro.com/en/abs/on-differential-operators-of-numerical-semigroup-rings-1109.6118</loc><lastmod>2011-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-differential-operators-of-numerical-semigroup-rings-1109.6118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-differential-operators-of-numerical-semigroup-rings-1109.6118"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-for-the-hilbert-ideal-and-coinvariants-of-the-dihedral-group-d-2p-1109.6180</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-for-the-hilbert-ideal-and-coinvariants-of-the-dihedral-group-d-2p-1109.6180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-for-the-hilbert-ideal-and-coinvariants-of-the-dihedral-group-d-2p-1109.6180"/></url>
<url><loc>https://scifaro.com/en/abs/anisotropic-modules-over-artinian-principal-ideal-rings-1109.6483</loc><lastmod>2015-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/anisotropic-modules-over-artinian-principal-ideal-rings-1109.6483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/anisotropic-modules-over-artinian-principal-ideal-rings-1109.6483"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-finite-gorenstein-dimension-modules-1109.6528</loc><lastmod>2012-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-finite-gorenstein-dimension-modules-1109.6528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-finite-gorenstein-dimension-modules-1109.6528"/></url>
<url><loc>https://scifaro.com/en/abs/anisotropy-and-the-integral-closure-1109.6733</loc><lastmod>2015-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/anisotropy-and-the-integral-closure-1109.6733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/anisotropy-and-the-integral-closure-1109.6733"/></url>
<url><loc>https://scifaro.com/en/abs/the-eventual-shape-of-betti-tables-of-powers-of-ideals-1110.0383</loc><lastmod>2013-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-eventual-shape-of-betti-tables-of-powers-of-ideals-1110.0383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-eventual-shape-of-betti-tables-of-powers-of-ideals-1110.0383"/></url>
<url><loc>https://scifaro.com/en/abs/a-combinatorial-proof-of-the-eisenbud-goto-conjecture-for-monomial-curves-and-some-simplicial-semigroup-rings-1110.0423</loc><lastmod>2011-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-combinatorial-proof-of-the-eisenbud-goto-conjecture-for-monomial-curves-and-some-simplicial-semigroup-rings-1110.0423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-combinatorial-proof-of-the-eisenbud-goto-conjecture-for-monomial-curves-and-some-simplicial-semigroup-rings-1110.0423"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-of-affine-toric-varieties-1110.0552</loc><lastmod>2011-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-of-affine-toric-varieties-1110.0552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-of-affine-toric-varieties-1110.0552"/></url>
<url><loc>https://scifaro.com/en/abs/upgraded-methods-for-the-effective-computation-of-marked-schemes-on-a-strongly-stable-ideal-1110.0698</loc><lastmod>2012-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upgraded-methods-for-the-effective-computation-of-marked-schemes-on-a-strongly-stable-ideal-1110.0698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upgraded-methods-for-the-effective-computation-of-marked-schemes-on-a-strongly-stable-ideal-1110.0698"/></url>
<url><loc>https://scifaro.com/en/abs/the-solution-to-waring-s-problem-for-monomials-1110.0745</loc><lastmod>2011-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-solution-to-waring-s-problem-for-monomials-1110.0745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-solution-to-waring-s-problem-for-monomials-1110.0745"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-theorems-and-algorithms-for-permutation-invariant-chains-of-laurent-lattice-ideals-1110.0785</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-theorems-and-algorithms-for-permutation-invariant-chains-of-laurent-lattice-ideals-1110.0785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-theorems-and-algorithms-for-permutation-invariant-chains-of-laurent-lattice-ideals-1110.0785"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-degree-function-coefficient-of-a-simple-complete-ideal-in-dimension-two-1110.0795</loc><lastmod>2011-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-degree-function-coefficient-of-a-simple-complete-ideal-in-dimension-two-1110.0795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-degree-function-coefficient-of-a-simple-complete-ideal-in-dimension-two-1110.0795"/></url>
<url><loc>https://scifaro.com/en/abs/on-complete-intersection-toric-ideals-of-graphs-1110.1059</loc><lastmod>2011-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-complete-intersection-toric-ideals-of-graphs-1110.1059"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-complete-intersection-toric-ideals-of-graphs-1110.1059"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-1110.1095</loc><lastmod>2011-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-1110.1095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-1110.1095"/></url>
<url><loc>https://scifaro.com/en/abs/robustness-and-conditional-independence-ideals-1110.1338</loc><lastmod>2011-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/robustness-and-conditional-independence-ideals-1110.1338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/robustness-and-conditional-independence-ideals-1110.1338"/></url>
<url><loc>https://scifaro.com/en/abs/wildness-of-polynomial-automorphisms-in-three-variables-1110.1466</loc><lastmod>2011-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wildness-of-polynomial-automorphisms-in-three-variables-1110.1466"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wildness-of-polynomial-automorphisms-in-three-variables-1110.1466"/></url>
<url><loc>https://scifaro.com/en/abs/semistar-operations-on-dedekind-domains-1110.1898</loc><lastmod>2011-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semistar-operations-on-dedekind-domains-1110.1898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semistar-operations-on-dedekind-domains-1110.1898"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-factors-of-square-free-monomial-ideals-1110.1963</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-factors-of-square-free-monomial-ideals-1110.1963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-factors-of-square-free-monomial-ideals-1110.1963"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-the-discreteness-of-f-jumping-coefficients-in-graded-rings-1110.2093</loc><lastmod>2012-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-the-discreteness-of-f-jumping-coefficients-in-graded-rings-1110.2093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-the-discreteness-of-f-jumping-coefficients-in-graded-rings-1110.2093"/></url>
<url><loc>https://scifaro.com/en/abs/the-degree-and-regularity-of-vanishing-ideals-of-algebraic-toric-sets-over-finite-fields-1110.2124</loc><lastmod>2013-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-degree-and-regularity-of-vanishing-ideals-of-algebraic-toric-sets-over-finite-fields-1110.2124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-degree-and-regularity-of-vanishing-ideals-of-algebraic-toric-sets-over-finite-fields-1110.2124"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-subcategories-of-artinian-modules-1110.2277</loc><lastmod>2011-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-subcategories-of-artinian-modules-1110.2277"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-subcategories-of-artinian-modules-1110.2277"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stable-set-of-associated-prime-ideals-of-a-monomial-ideal-1110.2300</loc><lastmod>2011-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stable-set-of-associated-prime-ideals-of-a-monomial-ideal-1110.2300"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stable-set-of-associated-prime-ideals-of-a-monomial-ideal-1110.2300"/></url>
<url><loc>https://scifaro.com/en/abs/non-vanishingness-of-betti-numbers-of-edge-ideals-1110.2333</loc><lastmod>2011-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-vanishingness-of-betti-numbers-of-edge-ideals-1110.2333"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-vanishingness-of-betti-numbers-of-edge-ideals-1110.2333"/></url>
<url><loc>https://scifaro.com/en/abs/the-vanishing-of-a-higher-codimension-analog-of-hochster-s-theta-invariant-1110.2442</loc><lastmod>2012-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-vanishing-of-a-higher-codimension-analog-of-hochster-s-theta-invariant-1110.2442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-vanishing-of-a-higher-codimension-analog-of-hochster-s-theta-invariant-1110.2442"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-regularity-and-projective-dimension-of-ideals-associated-to-graphs-1110.2570</loc><lastmod>2011-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-regularity-and-projective-dimension-of-ideals-associated-to-graphs-1110.2570"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-regularity-and-projective-dimension-of-ideals-associated-to-graphs-1110.2570"/></url>
<url><loc>https://scifaro.com/en/abs/2-x-2-permanental-ideals-of-hypermatrices-1110.2716</loc><lastmod>2012-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-x-2-permanental-ideals-of-hypermatrices-1110.2716"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-x-2-permanental-ideals-of-hypermatrices-1110.2716"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-complete-intersections-1110.2822</loc><lastmod>2011-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-complete-intersections-1110.2822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-complete-intersections-1110.2822"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-graph-domination-parameters-and-independence-complex-homology-1110.2841</loc><lastmod>2011-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-graph-domination-parameters-and-independence-complex-homology-1110.2841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-graph-domination-parameters-and-independence-complex-homology-1110.2841"/></url>
<url><loc>https://scifaro.com/en/abs/poincare-series-of-monomial-rings-with-minimal-taylor-resolution-1110.2928</loc><lastmod>2011-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincare-series-of-monomial-rings-with-minimal-taylor-resolution-1110.2928"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincare-series-of-monomial-rings-with-minimal-taylor-resolution-1110.2928"/></url>
<url><loc>https://scifaro.com/en/abs/when-will-the-stanley-depth-increase-1110.3182</loc><lastmod>2011-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-will-the-stanley-depth-increase-1110.3182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-will-the-stanley-depth-increase-1110.3182"/></url>
<url><loc>https://scifaro.com/en/abs/kunz-regularity-criterion-via-algebraic-entropy-1110.3427</loc><lastmod>2011-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kunz-regularity-criterion-via-algebraic-entropy-1110.3427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kunz-regularity-criterion-via-algebraic-entropy-1110.3427"/></url>
<url><loc>https://scifaro.com/en/abs/parameterized-picard-vessiot-extensions-and-atiyah-extensions-1110.3526</loc><lastmod>2013-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parameterized-picard-vessiot-extensions-and-atiyah-extensions-1110.3526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parameterized-picard-vessiot-extensions-and-atiyah-extensions-1110.3526"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-of-semigroup-algebras-1110.3653</loc><lastmod>2012-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-of-semigroup-algebras-1110.3653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-of-semigroup-algebras-1110.3653"/></url>
<url><loc>https://scifaro.com/en/abs/stably-reflexive-modules-and-a-lemma-of-knudsen-1110.3909</loc><lastmod>2013-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stably-reflexive-modules-and-a-lemma-of-knudsen-1110.3909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stably-reflexive-modules-and-a-lemma-of-knudsen-1110.3909"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-for-strongly-stable-ideals-1110.4080</loc><lastmod>2011-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-for-strongly-stable-ideals-1110.4080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-for-strongly-stable-ideals-1110.4080"/></url>
<url><loc>https://scifaro.com/en/abs/parallel-algorithms-for-normalization-1110.4299</loc><lastmod>2013-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parallel-algorithms-for-normalization-1110.4299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parallel-algorithms-for-normalization-1110.4299"/></url>
<url><loc>https://scifaro.com/en/abs/endomorphisms-preserving-coordinates-of-polynomial-algebras-1110.4317</loc><lastmod>2011-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/endomorphisms-preserving-coordinates-of-polynomial-algebras-1110.4317"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/endomorphisms-preserving-coordinates-of-polynomial-algebras-1110.4317"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-dimensions-of-syzygies-1110.4582</loc><lastmod>2011-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-dimensions-of-syzygies-1110.4582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-dimensions-of-syzygies-1110.4582"/></url>
<url><loc>https://scifaro.com/en/abs/a-dual-to-tight-closure-theory-1110.4647</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-dual-to-tight-closure-theory-1110.4647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-dual-to-tight-closure-theory-1110.4647"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-2-and-3-dimensional-rings-of-invariants-for-cyclic-groups-1110.5067</loc><lastmod>2012-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-2-and-3-dimensional-rings-of-invariants-for-cyclic-groups-1110.5067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-2-and-3-dimensional-rings-of-invariants-for-cyclic-groups-1110.5067"/></url>
<url><loc>https://scifaro.com/en/abs/descent-of-restricted-flat-mittag-leffler-modules-and-generalized-vector-bundles-1110.5364</loc><lastmod>2011-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/descent-of-restricted-flat-mittag-leffler-modules-and-generalized-vector-bundles-1110.5364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/descent-of-restricted-flat-mittag-leffler-modules-and-generalized-vector-bundles-1110.5364"/></url>
<url><loc>https://scifaro.com/en/abs/estimates-for-f-jumping-numbers-and-bounds-for-hartshorne-speiser-lyubeznik-numbers-1110.5687</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/estimates-for-f-jumping-numbers-and-bounds-for-hartshorne-speiser-lyubeznik-numbers-1110.5687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/estimates-for-f-jumping-numbers-and-bounds-for-hartshorne-speiser-lyubeznik-numbers-1110.5687"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-vertex-cover-algebras-1110.6007</loc><lastmod>2011-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-vertex-cover-algebras-1110.6007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-vertex-cover-algebras-1110.6007"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-joint-reductions-and-mixed-multiplicities-1110.6239</loc><lastmod>2012-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-joint-reductions-and-mixed-multiplicities-1110.6239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-joint-reductions-and-mixed-multiplicities-1110.6239"/></url>
<url><loc>https://scifaro.com/en/abs/generalizing-the-borel-property-1110.6373</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizing-the-borel-property-1110.6373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizing-the-borel-property-1110.6373"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-path-ideals-of-cycles-and-lines-1110.6653</loc><lastmod>2017-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-path-ideals-of-cycles-and-lines-1110.6653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-path-ideals-of-cycles-and-lines-1110.6653"/></url>
<url><loc>https://scifaro.com/en/abs/regular-sequences-of-power-sums-and-complete-symmetric-polynomials-1110.6813</loc><lastmod>2013-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-sequences-of-power-sums-and-complete-symmetric-polynomials-1110.6813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-sequences-of-power-sums-and-complete-symmetric-polynomials-1110.6813"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-and-sparse-determinantal-ideals-1111.0279</loc><lastmod>2012-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-and-sparse-determinantal-ideals-1111.0279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-and-sparse-determinantal-ideals-1111.0279"/></url>
<url><loc>https://scifaro.com/en/abs/the-possible-extremal-betti-numbers-of-a-homogeneous-ideal-1111.0442</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-possible-extremal-betti-numbers-of-a-homogeneous-ideal-1111.0442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-possible-extremal-betti-numbers-of-a-homogeneous-ideal-1111.0442"/></url>
<url><loc>https://scifaro.com/en/abs/when-the-associated-graded-ring-of-a-semigroup-ring-is-complete-intersection-1111.1294</loc><lastmod>2013-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-the-associated-graded-ring-of-a-semigroup-ring-is-complete-intersection-1111.1294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-the-associated-graded-ring-of-a-semigroup-ring-is-complete-intersection-1111.1294"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-of-some-semigroup-rings-1111.1433</loc><lastmod>2011-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-some-semigroup-rings-1111.1433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-some-semigroup-rings-1111.1433"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-stanley-conjecture-for-monomial-ideals-1111.1550</loc><lastmod>2011-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-stanley-conjecture-for-monomial-ideals-1111.1550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-stanley-conjecture-for-monomial-ideals-1111.1550"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-with-large-embedding-dimension-satisfy-wilf-s-conjecture-1111.1863</loc><lastmod>2012-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-with-large-embedding-dimension-satisfy-wilf-s-conjecture-1111.1863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-with-large-embedding-dimension-satisfy-wilf-s-conjecture-1111.1863"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-classification-of-ideals-of-local-rings-for-irreducible-curve-singularities-1111.2394</loc><lastmod>2011-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-classification-of-ideals-of-local-rings-for-irreducible-curve-singularities-1111.2394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-classification-of-ideals-of-local-rings-for-irreducible-curve-singularities-1111.2394"/></url>
<url><loc>https://scifaro.com/en/abs/a-witt-burnside-ring-attached-to-a-pro-dihedral-group-1111.2538</loc><lastmod>2012-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-witt-burnside-ring-attached-to-a-pro-dihedral-group-1111.2538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-witt-burnside-ring-attached-to-a-pro-dihedral-group-1111.2538"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-of-pairs-continuity-p-fractals-and-minimal-log-discrepancies-1111.2762</loc><lastmod>2013-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-of-pairs-continuity-p-fractals-and-minimal-log-discrepancies-1111.2762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-of-pairs-continuity-p-fractals-and-minimal-log-discrepancies-1111.2762"/></url>
<url><loc>https://scifaro.com/en/abs/the-radius-of-a-subcategory-of-modules-1111.2902</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-radius-of-a-subcategory-of-modules-1111.2902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-radius-of-a-subcategory-of-modules-1111.2902"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-of-parameter-ideals-1111.4186</loc><lastmod>2012-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-of-parameter-ideals-1111.4186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-of-parameter-ideals-1111.4186"/></url>
<url><loc>https://scifaro.com/en/abs/the-lefschetz-properties-of-monomial-complete-intersections-in-positive-characteristic-1111.4979</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lefschetz-properties-of-monomial-complete-intersections-in-positive-characteristic-1111.4979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lefschetz-properties-of-monomial-complete-intersections-in-positive-characteristic-1111.4979"/></url>
<url><loc>https://scifaro.com/en/abs/second-syzygies-of-monomial-submodules-from-walks-1111.6018</loc><lastmod>2012-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/second-syzygies-of-monomial-submodules-from-walks-1111.6018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/second-syzygies-of-monomial-submodules-from-walks-1111.6018"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-edge-ideals-1111.6157</loc><lastmod>2011-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-edge-ideals-1111.6157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-edge-ideals-1111.6157"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-polynomial-semirings-in-tropical-mathematics-1111.6253</loc><lastmod>2011-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-polynomial-semirings-in-tropical-mathematics-1111.6253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-polynomial-semirings-in-tropical-mathematics-1111.6253"/></url>
<url><loc>https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-eliahou-kervaire-type-resolution-and-discrete-morse-theory-1111.6258</loc><lastmod>2012-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-eliahou-kervaire-type-resolution-and-discrete-morse-theory-1111.6258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alternative-polarizations-of-borel-fixed-ideals-eliahou-kervaire-type-resolution-and-discrete-morse-theory-1111.6258"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-ideals-over-graphs-and-even-cycles-1111.6278</loc><lastmod>2015-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-ideals-over-graphs-and-even-cycles-1111.6278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-ideals-over-graphs-and-even-cycles-1111.6278"/></url>
<url><loc>https://scifaro.com/en/abs/galois-theory-of-artinian-simple-module-algebras-1111.6522</loc><lastmod>2011-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-theory-of-artinian-simple-module-algebras-1111.6522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-theory-of-artinian-simple-module-algebras-1111.6522"/></url>
<url><loc>https://scifaro.com/en/abs/a-unified-approach-to-formal-local-cohomology-and-local-tate-cohomology-1111.6786</loc><lastmod>2011-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-unified-approach-to-formal-local-cohomology-and-local-tate-cohomology-1111.6786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-unified-approach-to-formal-local-cohomology-and-local-tate-cohomology-1111.6786"/></url>
<url><loc>https://scifaro.com/en/abs/relations-between-the-minors-of-a-generic-matrix-1111.7263</loc><lastmod>2013-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relations-between-the-minors-of-a-generic-matrix-1111.7263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relations-between-the-minors-of-a-generic-matrix-1111.7263"/></url>
<url><loc>https://scifaro.com/en/abs/finitistic-extension-degree-1111.7281</loc><lastmod>2013-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitistic-extension-degree-1111.7281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitistic-extension-degree-1111.7281"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-s-conjecture-1112.0055</loc><lastmod>2011-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-s-conjecture-1112.0055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-s-conjecture-1112.0055"/></url>
<url><loc>https://scifaro.com/en/abs/a-polynomial-bound-on-the-regularity-of-an-ideal-in-terms-of-half-of-the-syzygies-1112.0058</loc><lastmod>2011-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-polynomial-bound-on-the-regularity-of-an-ideal-in-terms-of-half-of-the-syzygies-1112.0058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-polynomial-bound-on-the-regularity-of-an-ideal-in-terms-of-half-of-the-syzygies-1112.0058"/></url>
<url><loc>https://scifaro.com/en/abs/a-schreier-domain-type-condition-1112.0132</loc><lastmod>2011-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-schreier-domain-type-condition-1112.0132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-schreier-domain-type-condition-1112.0132"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisor-graphs-of-nilpotent-free-semigroups-1112.0185</loc><lastmod>2015-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisor-graphs-of-nilpotent-free-semigroups-1112.0185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisor-graphs-of-nilpotent-free-semigroups-1112.0185"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-elementary-abelian-p-groups-1112.0230</loc><lastmod>2012-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-elementary-abelian-p-groups-1112.0230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-elementary-abelian-p-groups-1112.0230"/></url>
<url><loc>https://scifaro.com/en/abs/seminormality-and-local-cohomology-of-toric-face-rings-1112.0375</loc><lastmod>2012-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/seminormality-and-local-cohomology-of-toric-face-rings-1112.0375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/seminormality-and-local-cohomology-of-toric-face-rings-1112.0375"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-pontryagin-hill-theorems-to-projective-modules-over-pr-ufer-domains-1112.0598</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-pontryagin-hill-theorems-to-projective-modules-over-pr-ufer-domains-1112.0598"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-pontryagin-hill-theorems-to-projective-modules-over-pr-ufer-domains-1112.0598"/></url>
<url><loc>https://scifaro.com/en/abs/on-completely-decomposable-and-separable-modules-over-pr-ufer-domains-1112.0599</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-completely-decomposable-and-separable-modules-over-pr-ufer-domains-1112.0599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-completely-decomposable-and-separable-modules-over-pr-ufer-domains-1112.0599"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-unions-of-ascending-chains-of-direct-sums-of-ideals-of-h-local-pr-u-fer-domains-1112.0600</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-unions-of-ascending-chains-of-direct-sums-of-ideals-of-h-local-pr-u-fer-domains-1112.0600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-unions-of-ascending-chains-of-direct-sums-of-ideals-of-h-local-pr-u-fer-domains-1112.0600"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-criteria-for-the-balanced-projectivity-of-modules-over-integral-domains-1112.0605</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-criteria-for-the-balanced-projectivity-of-modules-over-integral-domains-1112.0605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-criteria-for-the-balanced-projectivity-of-modules-over-integral-domains-1112.0605"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-direct-limit-of-increasing-sequences-of-completely-decomposable-modules-over-integral-domains-1112.0608</loc><lastmod>2011-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-direct-limit-of-increasing-sequences-of-completely-decomposable-modules-over-integral-domains-1112.0608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-direct-limit-of-increasing-sequences-of-completely-decomposable-modules-over-integral-domains-1112.0608"/></url>
<url><loc>https://scifaro.com/en/abs/a-schreier-domain-type-condition-ii-1112.1236</loc><lastmod>2011-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-schreier-domain-type-condition-ii-1112.1236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-schreier-domain-type-condition-ii-1112.1236"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-1112.1498</loc><lastmod>2011-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-1112.1498"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-1112.1498"/></url>
<url><loc>https://scifaro.com/en/abs/sequence-of-exact-zero-divisors-1112.2353</loc><lastmod>2012-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequence-of-exact-zero-divisors-1112.2353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequence-of-exact-zero-divisors-1112.2353"/></url>
<url><loc>https://scifaro.com/en/abs/f-purity-versus-log-canonicity-for-polynomials-1112.2423</loc><lastmod>2011-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-purity-versus-log-canonicity-for-polynomials-1112.2423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-purity-versus-log-canonicity-for-polynomials-1112.2423"/></url>
<url><loc>https://scifaro.com/en/abs/f-purity-of-hypersurfaces-1112.2424</loc><lastmod>2012-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-purity-of-hypersurfaces-1112.2424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-purity-of-hypersurfaces-1112.2424"/></url>
<url><loc>https://scifaro.com/en/abs/f-invariants-of-diagonal-hypersurfaces-1112.2425</loc><lastmod>2011-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-invariants-of-diagonal-hypersurfaces-1112.2425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-invariants-of-diagonal-hypersurfaces-1112.2425"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-thresholds-of-binomial-hypersurfaces-1112.2427</loc><lastmod>2011-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-thresholds-of-binomial-hypersurfaces-1112.2427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-thresholds-of-binomial-hypersurfaces-1112.2427"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-inessential-elements-of-a-perfect-height-2-ideal-1112.2875</loc><lastmod>2011-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-inessential-elements-of-a-perfect-height-2-ideal-1112.2875"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-inessential-elements-of-a-perfect-height-2-ideal-1112.2875"/></url>
<url><loc>https://scifaro.com/en/abs/the-fundamental-invariants-of-3-x-3-x-3-arrays-1112.2949</loc><lastmod>2015-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-fundamental-invariants-of-3-x-3-x-3-arrays-1112.2949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-fundamental-invariants-of-3-x-3-x-3-arrays-1112.2949"/></url>
<url><loc>https://scifaro.com/en/abs/duality-for-koszul-homology-over-gorenstein-rings-1112.3064</loc><lastmod>2011-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-for-koszul-homology-over-gorenstein-rings-1112.3064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-for-koszul-homology-over-gorenstein-rings-1112.3064"/></url>
<url><loc>https://scifaro.com/en/abs/the-waring-rank-of-the-sum-of-pairwise-coprime-monomials-1112.3474</loc><lastmod>2012-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-waring-rank-of-the-sum-of-pairwise-coprime-monomials-1112.3474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-waring-rank-of-the-sum-of-pairwise-coprime-monomials-1112.3474"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulayness-of-bigraded-modules-1112.3717</loc><lastmod>2015-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulayness-of-bigraded-modules-1112.3717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulayness-of-bigraded-modules-1112.3717"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-diagonal-2-minors-1112.3721</loc><lastmod>2012-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-diagonal-2-minors-1112.3721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-diagonal-2-minors-1112.3721"/></url>
<url><loc>https://scifaro.com/en/abs/computing-serre-s-intersection-multiplicities-1112.4417</loc><lastmod>2011-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-serre-s-intersection-multiplicities-1112.4417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-serre-s-intersection-multiplicities-1112.4417"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-differentials-of-forms-1112.4427</loc><lastmod>2016-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-differentials-of-forms-1112.4427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-differentials-of-forms-1112.4427"/></url>
<url><loc>https://scifaro.com/en/abs/the-stanley-conjecture-on-monomial-almost-complete-intersection-ideals-1112.4956</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stanley-conjecture-on-monomial-almost-complete-intersection-ideals-1112.4956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stanley-conjecture-on-monomial-almost-complete-intersection-ideals-1112.4956"/></url>
<url><loc>https://scifaro.com/en/abs/filter-regular-sequences-almost-complete-intersections-and-stanley-s-conjecture-1112.5159</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filter-regular-sequences-almost-complete-intersections-and-stanley-s-conjecture-1112.5159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filter-regular-sequences-almost-complete-intersections-and-stanley-s-conjecture-1112.5159"/></url>
<url><loc>https://scifaro.com/en/abs/an-alternative-method-for-primary-decomposition-of-zero-dimensional-ideals-over-finite-fields-1112.6057</loc><lastmod>2012-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-alternative-method-for-primary-decomposition-of-zero-dimensional-ideals-over-finite-fields-1112.6057"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-alternative-method-for-primary-decomposition-of-zero-dimensional-ideals-over-finite-fields-1112.6057"/></url>
<url><loc>https://scifaro.com/en/abs/tame-automorphisms-with-multidegrees-in-the-form-of-arithmetic-progressions-1112.6071</loc><lastmod>2011-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-automorphisms-with-multidegrees-in-the-form-of-arithmetic-progressions-1112.6071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-automorphisms-with-multidegrees-in-the-form-of-arithmetic-progressions-1112.6071"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-conjecture-and-auslander-reiten-duality-1112.6201</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-and-auslander-reiten-duality-1112.6201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-and-auslander-reiten-duality-1112.6201"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-aspects-of-representation-theory-for-dg-algebras-answering-a-question-of-vasconcelos-1201.0037</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-aspects-of-representation-theory-for-dg-algebras-answering-a-question-of-vasconcelos-1201.0037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-aspects-of-representation-theory-for-dg-algebras-answering-a-question-of-vasconcelos-1201.0037"/></url>
<url><loc>https://scifaro.com/en/abs/the-cones-of-hilbert-functions-of-squarefree-modules-1201.0896</loc><lastmod>2012-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cones-of-hilbert-functions-of-squarefree-modules-1201.0896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cones-of-hilbert-functions-of-squarefree-modules-1201.0896"/></url>
<url><loc>https://scifaro.com/en/abs/characteristic-polynomials-of-supertropical-matrices-1201.0966</loc><lastmod>2014-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characteristic-polynomials-of-supertropical-matrices-1201.0966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characteristic-polynomials-of-supertropical-matrices-1201.0966"/></url>
<url><loc>https://scifaro.com/en/abs/linearized-polynomial-maps-over-finite-fields-1201.1137</loc><lastmod>2012-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearized-polynomial-maps-over-finite-fields-1201.1137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearized-polynomial-maps-over-finite-fields-1201.1137"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-functor-and-injective-modules-1201.1263</loc><lastmod>2012-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-functor-and-injective-modules-1201.1263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-functor-and-injective-modules-1201.1263"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-of-hilbert-functions-in-the-non-standard-graded-case-1201.1555</loc><lastmod>2012-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-of-hilbert-functions-in-the-non-standard-graded-case-1201.1555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-of-hilbert-functions-in-the-non-standard-graded-case-1201.1555"/></url>
<url><loc>https://scifaro.com/en/abs/positive-margins-and-primary-decomposition-1201.2591</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/positive-margins-and-primary-decomposition-1201.2591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/positive-margins-and-primary-decomposition-1201.2591"/></url>
<url><loc>https://scifaro.com/en/abs/smarandache-idempotents-in-certain-types-of-groups-rings-1201.2609</loc><lastmod>2012-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/smarandache-idempotents-in-certain-types-of-groups-rings-1201.2609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/smarandache-idempotents-in-certain-types-of-groups-rings-1201.2609"/></url>
<url><loc>https://scifaro.com/en/abs/veronese-algebras-and-modules-of-rings-with-straightening-laws-1201.2851</loc><lastmod>2012-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/veronese-algebras-and-modules-of-rings-with-straightening-laws-1201.2851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/veronese-algebras-and-modules-of-rings-with-straightening-laws-1201.2851"/></url>
<url><loc>https://scifaro.com/en/abs/embedding-modules-of-finite-homological-dimension-1201.3037</loc><lastmod>2012-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embedding-modules-of-finite-homological-dimension-1201.3037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embedding-modules-of-finite-homological-dimension-1201.3037"/></url>
<url><loc>https://scifaro.com/en/abs/nak-for-ext-and-ascent-of-module-structures-1201.3039</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nak-for-ext-and-ascent-of-module-structures-1201.3039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nak-for-ext-and-ascent-of-module-structures-1201.3039"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-monomial-ideals-in-real-semigroup-rings-1201.3040</loc><lastmod>2012-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-monomial-ideals-in-real-semigroup-rings-1201.3040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-monomial-ideals-in-real-semigroup-rings-1201.3040"/></url>
<url><loc>https://scifaro.com/en/abs/local-homology-and-gorenstein-flat-modules-1201.3067</loc><lastmod>2012-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-homology-and-gorenstein-flat-modules-1201.3067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-homology-and-gorenstein-flat-modules-1201.3067"/></url>
<url><loc>https://scifaro.com/en/abs/ranks-of-indecomposable-modules-over-rings-of-infinite-cohen-macaulay-type-1201.3141</loc><lastmod>2012-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ranks-of-indecomposable-modules-over-rings-of-infinite-cohen-macaulay-type-1201.3141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ranks-of-indecomposable-modules-over-rings-of-infinite-cohen-macaulay-type-1201.3141"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-with-rigid-depth-1201.3325</loc><lastmod>2012-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-with-rigid-depth-1201.3325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-with-rigid-depth-1201.3325"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-certain-composita-of-fields-1201.4105</loc><lastmod>2012-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-certain-composita-of-fields-1201.4105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-certain-composita-of-fields-1201.4105"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-the-candidate-counter-example-in-the-cancellation-problem-for-affine-spaces-posed-by-arno-van-den-essen-1201.4198</loc><lastmod>2020-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-the-candidate-counter-example-in-the-cancellation-problem-for-affine-spaces-posed-by-arno-van-den-essen-1201.4198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-the-candidate-counter-example-in-the-cancellation-problem-for-affine-spaces-posed-by-arno-van-den-essen-1201.4198"/></url>
<url><loc>https://scifaro.com/en/abs/monomials-binomials-and-riemann-roch-1201.4357</loc><lastmod>2012-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomials-binomials-and-riemann-roch-1201.4357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomials-binomials-and-riemann-roch-1201.4357"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-hilbert-coefficients-1201.5575</loc><lastmod>2012-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-hilbert-coefficients-1201.5575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-hilbert-coefficients-1201.5575"/></url>
<url><loc>https://scifaro.com/en/abs/diagonal-f-thresholds-and-f-pure-thresholds-of-hibi-rings-1201.5691</loc><lastmod>2012-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diagonal-f-thresholds-and-f-pure-thresholds-of-hibi-rings-1201.5691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diagonal-f-thresholds-and-f-pure-thresholds-of-hibi-rings-1201.5691"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-of-symmetric-ideals-1201.5792</loc><lastmod>2013-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-of-symmetric-ideals-1201.5792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-of-symmetric-ideals-1201.5792"/></url>
<url><loc>https://scifaro.com/en/abs/relative-tor-functors-with-respect-to-a-semidualizing-module-1201.5869</loc><lastmod>2012-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-tor-functors-with-respect-to-a-semidualizing-module-1201.5869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-tor-functors-with-respect-to-a-semidualizing-module-1201.5869"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-variety-for-the-basic-representations-of-the-additive-group-1201.5933</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-variety-for-the-basic-representations-of-the-additive-group-1201.5933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-variety-for-the-basic-representations-of-the-additive-group-1201.5933"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-local-rings-whose-ideals-are-direct-sums-of-cyclic-modules-1201.6076</loc><lastmod>2013-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-local-rings-whose-ideals-are-direct-sums-of-cyclic-modules-1201.6076"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-local-rings-whose-ideals-are-direct-sums-of-cyclic-modules-1201.6076"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-new-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1201.6100</loc><lastmod>2012-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-new-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1201.6100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-new-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1201.6100"/></url>
<url><loc>https://scifaro.com/en/abs/improving-incremental-signature-based-groebner-basis-algorithms-1201.6472</loc><lastmod>2012-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/improving-incremental-signature-based-groebner-basis-algorithms-1201.6472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/improving-incremental-signature-based-groebner-basis-algorithms-1201.6472"/></url>
<url><loc>https://scifaro.com/en/abs/dual-spaces-and-bilinear-forms-in-supertropical-linear-algebra-1201.6481</loc><lastmod>2012-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-spaces-and-bilinear-forms-in-supertropical-linear-algebra-1201.6481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-spaces-and-bilinear-forms-in-supertropical-linear-algebra-1201.6481"/></url>
<url><loc>https://scifaro.com/en/abs/one-branch-curve-singularities-with-at-most-2-parameter-families-of-ideals-1201.6579</loc><lastmod>2015-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-branch-curve-singularities-with-at-most-2-parameter-families-of-ideals-1201.6579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-branch-curve-singularities-with-at-most-2-parameter-families-of-ideals-1201.6579"/></url>
<url><loc>https://scifaro.com/en/abs/balanced-vertex-decomposable-simplicial-complexes-and-their-h-vectors-1202.0044</loc><lastmod>2012-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/balanced-vertex-decomposable-simplicial-complexes-and-their-h-vectors-1202.0044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/balanced-vertex-decomposable-simplicial-complexes-and-their-h-vectors-1202.0044"/></url>
<url><loc>https://scifaro.com/en/abs/liftings-and-quasi-liftings-of-dg-modules-1202.0071</loc><lastmod>2012-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/liftings-and-quasi-liftings-of-dg-modules-1202.0071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/liftings-and-quasi-liftings-of-dg-modules-1202.0071"/></url>
<url><loc>https://scifaro.com/en/abs/affine-cartesian-codes-1202.0085</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-cartesian-codes-1202.0085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-cartesian-codes-1202.0085"/></url>
<url><loc>https://scifaro.com/en/abs/on-commutative-rings-whose-prime-ideals-are-direct-sums-of-cyclics-1202.0371</loc><lastmod>2012-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-commutative-rings-whose-prime-ideals-are-direct-sums-of-cyclics-1202.0371"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-commutative-rings-whose-prime-ideals-are-direct-sums-of-cyclics-1202.0371"/></url>
<url><loc>https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-i-1202.0377</loc><lastmod>2012-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-i-1202.0377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-i-1202.0377"/></url>
<url><loc>https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-ii-1202.0381</loc><lastmod>2012-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-ii-1202.0381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-satisfying-the-prime-radical-condition-and-a-sheaf-construction-for-modules-ii-1202.0381"/></url>
<url><loc>https://scifaro.com/en/abs/modules-whose-classical-prime-submodules-are-intersections-of-maximal-submodules-1202.0385</loc><lastmod>2012-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-whose-classical-prime-submodules-are-intersections-of-maximal-submodules-1202.0385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-whose-classical-prime-submodules-are-intersections-of-maximal-submodules-1202.0385"/></url>
<url><loc>https://scifaro.com/en/abs/quasidualizing-modules-1202.0745</loc><lastmod>2012-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasidualizing-modules-1202.0745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasidualizing-modules-1202.0745"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-resolutions-supported-by-simplicial-trees-1202.0750</loc><lastmod>2012-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-resolutions-supported-by-simplicial-trees-1202.0750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-resolutions-supported-by-simplicial-trees-1202.0750"/></url>
<url><loc>https://scifaro.com/en/abs/isomonodromic-differential-equations-and-differential-categories-1202.0927</loc><lastmod>2015-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomonodromic-differential-equations-and-differential-categories-1202.0927"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomonodromic-differential-equations-and-differential-categories-1202.0927"/></url>
<url><loc>https://scifaro.com/en/abs/the-limiting-polytope-of-the-generic-initial-system-of-a-complete-intersection-1202.1317</loc><lastmod>2012-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-limiting-polytope-of-the-generic-initial-system-of-a-complete-intersection-1202.1317"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-limiting-polytope-of-the-generic-initial-system-of-a-complete-intersection-1202.1317"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-category-of-projective-complexes-and-complexes-of-gorenstein-projective-modules-1202.1620</loc><lastmod>2012-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-category-of-projective-complexes-and-complexes-of-gorenstein-projective-modules-1202.1620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-category-of-projective-complexes-and-complexes-of-gorenstein-projective-modules-1202.1620"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-approach-to-hough-transforms-1202.1698</loc><lastmod>2012-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-approach-to-hough-transforms-1202.1698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-approach-to-hough-transforms-1202.1698"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-macaulification-1202.2275</loc><lastmod>2012-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-macaulification-1202.2275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-macaulification-1202.2275"/></url>
<url><loc>https://scifaro.com/en/abs/ultrafilter-and-constructible-topologies-on-spaces-of-valuation-domains-1202.2451</loc><lastmod>2012-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ultrafilter-and-constructible-topologies-on-spaces-of-valuation-domains-1202.2451"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ultrafilter-and-constructible-topologies-on-spaces-of-valuation-domains-1202.2451"/></url>
<url><loc>https://scifaro.com/en/abs/the-grade-conjecture-and-asymptotic-intersection-multiplicity-1202.3513</loc><lastmod>2013-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-grade-conjecture-and-asymptotic-intersection-multiplicity-1202.3513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-grade-conjecture-and-asymptotic-intersection-multiplicity-1202.3513"/></url>
<url><loc>https://scifaro.com/en/abs/the-termination-of-algorithms-for-computing-gr-o-bner-bases-1202.3524</loc><lastmod>2012-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-termination-of-algorithms-for-computing-gr-o-bner-bases-1202.3524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-termination-of-algorithms-for-computing-gr-o-bner-bases-1202.3524"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-rings-of-differentiable-type-and-finiteness-properties-of-local-cohomology-1202.3597</loc><lastmod>2012-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-rings-of-differentiable-type-and-finiteness-properties-of-local-cohomology-1202.3597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-rings-of-differentiable-type-and-finiteness-properties-of-local-cohomology-1202.3597"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-of-tropical-matrices-1202.3615</loc><lastmod>2014-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-tropical-matrices-1202.3615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-tropical-matrices-1202.3615"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-hilbert-functions-1202.4106</loc><lastmod>2012-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-hilbert-functions-1202.4106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-hilbert-functions-1202.4106"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-resolving-subcategories-and-grade-consistent-functions-1202.5605</loc><lastmod>2013-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-resolving-subcategories-and-grade-consistent-functions-1202.5605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-resolving-subcategories-and-grade-consistent-functions-1202.5605"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-tensor-products-of-k-algebras-1202.5615</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-tensor-products-of-k-algebras-1202.5615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-tensor-products-of-k-algebras-1202.5615"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-second-spectrum-of-a-module-ii-1202.5782</loc><lastmod>2012-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-second-spectrum-of-a-module-ii-1202.5782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-second-spectrum-of-a-module-ii-1202.5782"/></url>
<url><loc>https://scifaro.com/en/abs/compositions-and-collisions-at-degree-p-2-1202.5810</loc><lastmod>2013-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compositions-and-collisions-at-degree-p-2-1202.5810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compositions-and-collisions-at-degree-p-2-1202.5810"/></url>
<url><loc>https://scifaro.com/en/abs/the-poset-of-the-nilpotent-commutator-of-a-nilpotent-matrix-1202.6089</loc><lastmod>2015-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-poset-of-the-nilpotent-commutator-of-a-nilpotent-matrix-1202.6089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-poset-of-the-nilpotent-commutator-of-a-nilpotent-matrix-1202.6089"/></url>
<url><loc>https://scifaro.com/en/abs/effective-differential-l-uroth-s-theorem-1202.6344</loc><lastmod>2013-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-differential-l-uroth-s-theorem-1202.6344"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-differential-l-uroth-s-theorem-1202.6344"/></url>
<url><loc>https://scifaro.com/en/abs/atomic-effect-algebras-with-the-riesz-decomposition-property-1203.0111</loc><lastmod>2015-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atomic-effect-algebras-with-the-riesz-decomposition-property-1203.0111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atomic-effect-algebras-with-the-riesz-decomposition-property-1203.0111"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-2-minors-collection-of-cells-and-stack-polyominoes-1203.0407</loc><lastmod>2012-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-2-minors-collection-of-cells-and-stack-polyominoes-1203.0407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-2-minors-collection-of-cells-and-stack-polyominoes-1203.0407"/></url>
<url><loc>https://scifaro.com/en/abs/indispensable-hibi-relations-and-groebner-bases-1203.0438</loc><lastmod>2012-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indispensable-hibi-relations-and-groebner-bases-1203.0438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indispensable-hibi-relations-and-groebner-bases-1203.0438"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-method-for-constructing-small-bias-spaces-from-hermitian-codes-1203.0491</loc><lastmod>2012-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-method-for-constructing-small-bias-spaces-from-hermitian-codes-1203.0491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-method-for-constructing-small-bias-spaces-from-hermitian-codes-1203.0491"/></url>
<url><loc>https://scifaro.com/en/abs/tilting-cotilting-and-spectra-of-commutative-noetherian-rings-1203.0907</loc><lastmod>2014-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tilting-cotilting-and-spectra-of-commutative-noetherian-rings-1203.0907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tilting-cotilting-and-spectra-of-commutative-noetherian-rings-1203.0907"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-resolving-subcategories-over-a-cohen-macaulay-local-ring-1203.1294</loc><lastmod>2012-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-resolving-subcategories-over-a-cohen-macaulay-local-ring-1203.1294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-resolving-subcategories-over-a-cohen-macaulay-local-ring-1203.1294"/></url>
<url><loc>https://scifaro.com/en/abs/skolem-mahler-lech-type-theorems-and-picard-vessiot-theory-1203.1449</loc><lastmod>2012-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/skolem-mahler-lech-type-theorems-and-picard-vessiot-theory-1203.1449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/skolem-mahler-lech-type-theorems-and-picard-vessiot-theory-1203.1449"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-1203.1683</loc><lastmod>2012-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-1203.1683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-1203.1683"/></url>
<url><loc>https://scifaro.com/en/abs/on-open-embeddings-of-affine-spaces-in-affine-varieties-and-the-jacobian-conjecture-1203.1691</loc><lastmod>2026-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-open-embeddings-of-affine-spaces-in-affine-varieties-and-the-jacobian-conjecture-1203.1691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-open-embeddings-of-affine-spaces-in-affine-varieties-and-the-jacobian-conjecture-1203.1691"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-minors-and-linear-powers-1203.1776</loc><lastmod>2013-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-minors-and-linear-powers-1203.1776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-minors-and-linear-powers-1203.1776"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-bounds-for-koszul-cycles-1203.1783</loc><lastmod>2012-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-bounds-for-koszul-cycles-1203.1783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-bounds-for-koszul-cycles-1203.1783"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-property-of-projections-of-the-veronese-cubic-surface-1203.1949</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-property-of-projections-of-the-veronese-cubic-surface-1203.1949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-property-of-projections-of-the-veronese-cubic-surface-1203.1949"/></url>
<url><loc>https://scifaro.com/en/abs/the-dimension-of-a-subcategory-of-modules-1203.1955</loc><lastmod>2015-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dimension-of-a-subcategory-of-modules-1203.1955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dimension-of-a-subcategory-of-modules-1203.1955"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulaynees-for-symbolic-power-ideals-of-edge-ideals-1203.1967</loc><lastmod>2012-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulaynees-for-symbolic-power-ideals-of-edge-ideals-1203.1967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulaynees-for-symbolic-power-ideals-of-edge-ideals-1203.1967"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-second-powers-of-stanley-reisner-ideals-1203.1969</loc><lastmod>2012-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-second-powers-of-stanley-reisner-ideals-1203.1969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-second-powers-of-stanley-reisner-ideals-1203.1969"/></url>
<url><loc>https://scifaro.com/en/abs/periodic-occurance-of-complete-intersection-monomial-curves-1203.1991</loc><lastmod>2012-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/periodic-occurance-of-complete-intersection-monomial-curves-1203.1991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/periodic-occurance-of-complete-intersection-monomial-curves-1203.1991"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimum-distance-of-sets-of-points-and-the-minimum-socle-degree-1203.2040</loc><lastmod>2012-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimum-distance-of-sets-of-points-and-the-minimum-socle-degree-1203.2040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimum-distance-of-sets-of-points-and-the-minimum-socle-degree-1203.2040"/></url>
<url><loc>https://scifaro.com/en/abs/on-freeness-of-divisors-on-mathbb-p-2-1203.2046</loc><lastmod>2012-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-freeness-of-divisors-on-mathbb-p-2-1203.2046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-freeness-of-divisors-on-mathbb-p-2-1203.2046"/></url>
<url><loc>https://scifaro.com/en/abs/quillen-suslin-theory-for-a-structure-theorem-for-the-elementary-symplectic-group-1203.2104</loc><lastmod>2013-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quillen-suslin-theory-for-a-structure-theorem-for-the-elementary-symplectic-group-1203.2104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quillen-suslin-theory-for-a-structure-theorem-for-the-elementary-symplectic-group-1203.2104"/></url>
<url><loc>https://scifaro.com/en/abs/affine-convex-body-semigroups-1203.2129</loc><lastmod>2013-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-convex-body-semigroups-1203.2129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-convex-body-semigroups-1203.2129"/></url>
<url><loc>https://scifaro.com/en/abs/termination-of-original-f5-1203.2402</loc><lastmod>2012-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/termination-of-original-f5-1203.2402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/termination-of-original-f5-1203.2402"/></url>
<url><loc>https://scifaro.com/en/abs/compressible-modules-1203.2720</loc><lastmod>2012-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compressible-modules-1203.2720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compressible-modules-1203.2720"/></url>
<url><loc>https://scifaro.com/en/abs/the-binomial-edge-ideal-of-a-pair-of-graphs-1203.2775</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-binomial-edge-ideal-of-a-pair-of-graphs-1203.2775"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-binomial-edge-ideal-of-a-pair-of-graphs-1203.2775"/></url>
<url><loc>https://scifaro.com/en/abs/essentially-critically-compressible-modules-1203.3032</loc><lastmod>2012-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essentially-critically-compressible-modules-1203.3032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essentially-critically-compressible-modules-1203.3032"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-homology-of-codimension-3-gorenstein-ideals-1203.3168</loc><lastmod>2013-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-homology-of-codimension-3-gorenstein-ideals-1203.3168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-homology-of-codimension-3-gorenstein-ideals-1203.3168"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-of-minimal-depth-and-trivial-modifications-1203.3319</loc><lastmod>2012-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-of-minimal-depth-and-trivial-modifications-1203.3319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-of-minimal-depth-and-trivial-modifications-1203.3319"/></url>
<url><loc>https://scifaro.com/en/abs/f-finiteness-of-homomorphisms-and-its-descent-1203.3640</loc><lastmod>2012-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-finiteness-of-homomorphisms-and-its-descent-1203.3640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-finiteness-of-homomorphisms-and-its-descent-1203.3640"/></url>
<url><loc>https://scifaro.com/en/abs/bazzoni-glaz-conjecture-1203.4072</loc><lastmod>2014-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bazzoni-glaz-conjecture-1203.4072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bazzoni-glaz-conjecture-1203.4072"/></url>
<url><loc>https://scifaro.com/en/abs/affine-semigroups-having-a-unique-betti-element-1203.4138</loc><lastmod>2014-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-semigroups-having-a-unique-betti-element-1203.4138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-semigroups-having-a-unique-betti-element-1203.4138"/></url>
<url><loc>https://scifaro.com/en/abs/th-eor-eme-de-kaplansky-effectif-pour-des-valuations-de-rang-1-centr-ees-sur-des-anneaux-locaux-r-eguliers-et-complets-1203.4283</loc><lastmod>2014-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/th-eor-eme-de-kaplansky-effectif-pour-des-valuations-de-rang-1-centr-ees-sur-des-anneaux-locaux-r-eguliers-et-complets-1203.4283"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/th-eor-eme-de-kaplansky-effectif-pour-des-valuations-de-rang-1-centr-ees-sur-des-anneaux-locaux-r-eguliers-et-complets-1203.4283"/></url>
<url><loc>https://scifaro.com/en/abs/the-eventual-stability-of-depth-associated-primes-and-cohomology-of-a-graded-module-1203.4342</loc><lastmod>2012-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-eventual-stability-of-depth-associated-primes-and-cohomology-of-a-graded-module-1203.4342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-eventual-stability-of-depth-associated-primes-and-cohomology-of-a-graded-module-1203.4342"/></url>
<url><loc>https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-equimultiple-ideals-of-deviation-one-1203.4448</loc><lastmod>2012-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-equimultiple-ideals-of-deviation-one-1203.4448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-equimultiple-ideals-of-deviation-one-1203.4448"/></url>
<url><loc>https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-ideals-of-almost-linear-type-1203.4450</loc><lastmod>2012-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-ideals-of-almost-linear-type-1203.4450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-ideals-of-almost-linear-type-1203.4450"/></url>
<url><loc>https://scifaro.com/en/abs/the-exponential-logarithmic-equivalence-classes-of-surreal-numbers-1203.4538</loc><lastmod>2016-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-exponential-logarithmic-equivalence-classes-of-surreal-numbers-1203.4538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-exponential-logarithmic-equivalence-classes-of-surreal-numbers-1203.4538"/></url>
<url><loc>https://scifaro.com/en/abs/variation-of-hilbert-coefficients-1203.5578</loc><lastmod>2012-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/variation-of-hilbert-coefficients-1203.5578"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/variation-of-hilbert-coefficients-1203.5578"/></url>
<url><loc>https://scifaro.com/en/abs/an-analysis-of-inhomogeneous-signature-based-gr-obner-basis-computations-1203.6186</loc><lastmod>2013-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-analysis-of-inhomogeneous-signature-based-gr-obner-basis-computations-1203.6186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-analysis-of-inhomogeneous-signature-based-gr-obner-basis-computations-1203.6186"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-interpretations-of-some-boij-s-oderberg-decompositions-1203.6515</loc><lastmod>2012-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-interpretations-of-some-boij-s-oderberg-decompositions-1203.6515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-interpretations-of-some-boij-s-oderberg-decompositions-1203.6515"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-vanishing-of-certain-local-cohomology-modules-1203.6751</loc><lastmod>2012-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-vanishing-of-certain-local-cohomology-modules-1203.6751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-vanishing-of-certain-local-cohomology-modules-1203.6751"/></url>
<url><loc>https://scifaro.com/en/abs/the-join-meet-ideal-of-a-finite-lattice-1203.6794</loc><lastmod>2012-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-join-meet-ideal-of-a-finite-lattice-1203.6794"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-join-meet-ideal-of-a-finite-lattice-1203.6794"/></url>
<url><loc>https://scifaro.com/en/abs/reflexive-functors-of-modules-in-commutative-algebra-1203.6796</loc><lastmod>2013-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexive-functors-of-modules-in-commutative-algebra-1203.6796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexive-functors-of-modules-in-commutative-algebra-1203.6796"/></url>
<url><loc>https://scifaro.com/en/abs/multidegrees-of-tame-automorphisms-with-one-prime-number-1204.0930</loc><lastmod>2012-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multidegrees-of-tame-automorphisms-with-one-prime-number-1204.0930"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multidegrees-of-tame-automorphisms-with-one-prime-number-1204.0930"/></url>
<url><loc>https://scifaro.com/en/abs/a-commutative-algebraic-approach-to-the-fitting-problem-1204.1390</loc><lastmod>2012-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-commutative-algebraic-approach-to-the-fitting-problem-1204.1390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-commutative-algebraic-approach-to-the-fitting-problem-1204.1390"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-properties-of-local-cohomology-for-f-pure-local-rings-1204.1539</loc><lastmod>2013-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-properties-of-local-cohomology-for-f-pure-local-rings-1204.1539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-properties-of-local-cohomology-for-f-pure-local-rings-1204.1539"/></url>
<url><loc>https://scifaro.com/en/abs/shellable-and-cohen-macaulay-complete-t-partite-graphs-1204.2112</loc><lastmod>2012-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shellable-and-cohen-macaulay-complete-t-partite-graphs-1204.2112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shellable-and-cohen-macaulay-complete-t-partite-graphs-1204.2112"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-the-socle-of-frobenius-powers-1204.2338</loc><lastmod>2012-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-the-socle-of-frobenius-powers-1204.2338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-the-socle-of-frobenius-powers-1204.2338"/></url>
<url><loc>https://scifaro.com/en/abs/on-injective-and-gorenstein-injective-dimensions-of-local-cohomology-modules-1204.2394</loc><lastmod>2013-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-injective-and-gorenstein-injective-dimensions-of-local-cohomology-modules-1204.2394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-injective-and-gorenstein-injective-dimensions-of-local-cohomology-modules-1204.2394"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-criteria-of-freeness-and-gorensteinness-1204.2456</loc><lastmod>2012-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-criteria-of-freeness-and-gorensteinness-1204.2456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-criteria-of-freeness-and-gorensteinness-1204.2456"/></url>
<url><loc>https://scifaro.com/en/abs/a-proof-of-hilbert-s-nullstellensatz-based-on-groebner-bases-1204.3128</loc><lastmod>2012-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-proof-of-hilbert-s-nullstellensatz-based-on-groebner-bases-1204.3128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-proof-of-hilbert-s-nullstellensatz-based-on-groebner-bases-1204.3128"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-and-projective-dimensions-1204.3280</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-and-projective-dimensions-1204.3280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-and-projective-dimensions-1204.3280"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-growth-of-associated-primes-of-certain-graph-ideals-1204.3315</loc><lastmod>2012-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-growth-of-associated-primes-of-certain-graph-ideals-1204.3315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-growth-of-associated-primes-of-certain-graph-ideals-1204.3315"/></url>
<url><loc>https://scifaro.com/en/abs/solving-via-modular-methods-1204.3442</loc><lastmod>2013-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solving-via-modular-methods-1204.3442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solving-via-modular-methods-1204.3442"/></url>
<url><loc>https://scifaro.com/en/abs/matlis-duals-of-top-local-cohomology-modules-1204.3776</loc><lastmod>2012-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matlis-duals-of-top-local-cohomology-modules-1204.3776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matlis-duals-of-top-local-cohomology-modules-1204.3776"/></url>
<url><loc>https://scifaro.com/en/abs/a-counterpart-to-nagata-idealization-1204.3962</loc><lastmod>2012-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counterpart-to-nagata-idealization-1204.3962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counterpart-to-nagata-idealization-1204.3962"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-depth-formula-and-vanishing-of-cohomology-1204.4083</loc><lastmod>2012-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-depth-formula-and-vanishing-of-cohomology-1204.4083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-depth-formula-and-vanishing-of-cohomology-1204.4083"/></url>
<url><loc>https://scifaro.com/en/abs/d-modules-with-finite-support-are-semi-simple-1204.4168</loc><lastmod>2015-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-modules-with-finite-support-are-semi-simple-1204.4168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-modules-with-finite-support-are-semi-simple-1204.4168"/></url>
<url><loc>https://scifaro.com/en/abs/a-homological-dimension-related-to-ab-rings-1204.4513</loc><lastmod>2012-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-homological-dimension-related-to-ab-rings-1204.4513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-homological-dimension-related-to-ab-rings-1204.4513"/></url>
<url><loc>https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-rank-one-case-1204.4751</loc><lastmod>2016-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-rank-one-case-1204.4751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-rank-one-case-1204.4751"/></url>
<url><loc>https://scifaro.com/en/abs/pure-o-sequences-known-results-applications-and-open-problems-1204.5247</loc><lastmod>2013-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pure-o-sequences-known-results-applications-and-open-problems-1204.5247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pure-o-sequences-known-results-applications-and-open-problems-1204.5247"/></url>
<url><loc>https://scifaro.com/en/abs/toricness-of-binomial-edge-ideals-1204.5287</loc><lastmod>2012-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toricness-of-binomial-edge-ideals-1204.5287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toricness-of-binomial-edge-ideals-1204.5287"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-graphs-with-large-girth-1204.5561</loc><lastmod>2014-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-graphs-with-large-girth-1204.5561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-graphs-with-large-girth-1204.5561"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-arising-from-cyclic-polytopes-1204.5565</loc><lastmod>2012-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-arising-from-cyclic-polytopes-1204.5565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-arising-from-cyclic-polytopes-1204.5565"/></url>
<url><loc>https://scifaro.com/en/abs/splitting-cycles-in-graphs-1204.5932</loc><lastmod>2012-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splitting-cycles-in-graphs-1204.5932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splitting-cycles-in-graphs-1204.5932"/></url>
<url><loc>https://scifaro.com/en/abs/plane-automorphisms-given-by-polynomials-of-scattered-degrees-1204.5956</loc><lastmod>2012-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/plane-automorphisms-given-by-polynomials-of-scattered-degrees-1204.5956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/plane-automorphisms-given-by-polynomials-of-scattered-degrees-1204.5956"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-homology-of-fiber-cone-of-ideals-1204.6593</loc><lastmod>2012-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-homology-of-fiber-cone-of-ideals-1204.6593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-homology-of-fiber-cone-of-ideals-1204.6593"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-chern-number-of-i-admissible-filtrations-of-ideals-1205.0390</loc><lastmod>2012-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-chern-number-of-i-admissible-filtrations-of-ideals-1205.0390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-chern-number-of-i-admissible-filtrations-of-ideals-1205.0390"/></url>
<url><loc>https://scifaro.com/en/abs/categorified-duality-in-boij-s-oderberg-theory-and-invariants-of-free-complexes-1205.0449</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/categorified-duality-in-boij-s-oderberg-theory-and-invariants-of-free-complexes-1205.0449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/categorified-duality-in-boij-s-oderberg-theory-and-invariants-of-free-complexes-1205.0449"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-the-koszul-complex-of-a-system-of-polynomial-equations-1205.0472</loc><lastmod>2012-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-the-koszul-complex-of-a-system-of-polynomial-equations-1205.0472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-the-koszul-complex-of-a-system-of-polynomial-equations-1205.0472"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-cohen-macaulay-binomial-edge-ideals-1205.0475</loc><lastmod>2012-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-cohen-macaulay-binomial-edge-ideals-1205.0475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-cohen-macaulay-binomial-edge-ideals-1205.0475"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-mixed-product-ideals-1205.0478</loc><lastmod>2012-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-mixed-product-ideals-1205.0478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-mixed-product-ideals-1205.0478"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-complexes-of-embedded-systems-of-polynomials-and-duality-1205.0621</loc><lastmod>2012-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-complexes-of-embedded-systems-of-polynomials-and-duality-1205.0621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-complexes-of-embedded-systems-of-polynomials-and-duality-1205.0621"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-in-binomial-and-lattice-ideals-1205.0772</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-in-binomial-and-lattice-ideals-1205.0772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-in-binomial-and-lattice-ideals-1205.0772"/></url>
<url><loc>https://scifaro.com/en/abs/implicitization-of-de-jonqui-eres-parametrizations-1205.1083</loc><lastmod>2012-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/implicitization-of-de-jonqui-eres-parametrizations-1205.1083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/implicitization-of-de-jonqui-eres-parametrizations-1205.1083"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-whose-depth-function-has-any-given-number-of-strict-local-maxima-1205.1348</loc><lastmod>2015-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-whose-depth-function-has-any-given-number-of-strict-local-maxima-1205.1348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-whose-depth-function-has-any-given-number-of-strict-local-maxima-1205.1348"/></url>
<url><loc>https://scifaro.com/en/abs/an-intrinsic-characterization-of-picard-vessiot-extensions-1205.1726</loc><lastmod>2012-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-intrinsic-characterization-of-picard-vessiot-extensions-1205.1726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-intrinsic-characterization-of-picard-vessiot-extensions-1205.1726"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-factorizations-weak-functoriality-and-applications-1205.2119</loc><lastmod>2013-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-factorizations-weak-functoriality-and-applications-1205.2119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-factorizations-weak-functoriality-and-applications-1205.2119"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-in-higher-codimension-1205.2552</loc><lastmod>2012-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-in-higher-codimension-1205.2552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-in-higher-codimension-1205.2552"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-genesis-of-a-determinantal-identity-1205.2804</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-genesis-of-a-determinantal-identity-1205.2804"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-genesis-of-a-determinantal-identity-1205.2804"/></url>
<url><loc>https://scifaro.com/en/abs/envelopes-and-weakly-radicals-of-submodules-1205.2983</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/envelopes-and-weakly-radicals-of-submodules-1205.2983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/envelopes-and-weakly-radicals-of-submodules-1205.2983"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-critical-ideals-of-graphs-1205.3105</loc><lastmod>2014-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-critical-ideals-of-graphs-1205.3105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-critical-ideals-of-graphs-1205.3105"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-square-free-monomial-ideals-1205.3127</loc><lastmod>2013-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-square-free-monomial-ideals-1205.3127"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-square-free-monomial-ideals-1205.3127"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-gorenstein-property-of-the-fiber-cone-to-filtrations-1205.3148</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gorenstein-property-of-the-fiber-cone-to-filtrations-1205.3148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gorenstein-property-of-the-fiber-cone-to-filtrations-1205.3148"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-fiber-cone-for-good-filtrations-1205.3152</loc><lastmod>2012-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-fiber-cone-for-good-filtrations-1205.3152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-fiber-cone-for-good-filtrations-1205.3152"/></url>
<url><loc>https://scifaro.com/en/abs/normal-hilbert-polynomials-a-survey-1205.3342</loc><lastmod>2012-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-hilbert-polynomials-a-survey-1205.3342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-hilbert-polynomials-a-survey-1205.3342"/></url>
<url><loc>https://scifaro.com/en/abs/expansions-of-monomial-ideals-and-multigraded-modules-1205.3599</loc><lastmod>2012-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/expansions-of-monomial-ideals-and-multigraded-modules-1205.3599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/expansions-of-monomial-ideals-and-multigraded-modules-1205.3599"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-of-weighted-graphs-1205.3678</loc><lastmod>2013-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-of-weighted-graphs-1205.3678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-of-weighted-graphs-1205.3678"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-apery-sets-of-monomial-curves-1205.4118</loc><lastmod>2012-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-apery-sets-of-monomial-curves-1205.4118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-apery-sets-of-monomial-curves-1205.4118"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-resolutions-and-grothendieck-groups-1205.4486</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-resolutions-and-grothendieck-groups-1205.4486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-resolutions-and-grothendieck-groups-1205.4486"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-function-of-one-dimensional-local-complete-intersections-1205.5357</loc><lastmod>2012-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-one-dimensional-local-complete-intersections-1205.5357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-one-dimensional-local-complete-intersections-1205.5357"/></url>
<url><loc>https://scifaro.com/en/abs/valuations-centered-at-a-two-dimensional-regular-local-ring-infima-and-topologies-1205.5625</loc><lastmod>2012-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuations-centered-at-a-two-dimensional-regular-local-ring-infima-and-topologies-1205.5625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuations-centered-at-a-two-dimensional-regular-local-ring-infima-and-topologies-1205.5625"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-modules-and-gorenstein-injectivity-with-respect-to-a-semidualizing-module-1205.5985</loc><lastmod>2013-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-modules-and-gorenstein-injectivity-with-respect-to-a-semidualizing-module-1205.5985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-modules-and-gorenstein-injectivity-with-respect-to-a-semidualizing-module-1205.5985"/></url>
<url><loc>https://scifaro.com/en/abs/simple-signature-based-groebner-basis-algorithm-1205.6050</loc><lastmod>2012-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-signature-based-groebner-basis-algorithm-1205.6050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-signature-based-groebner-basis-algorithm-1205.6050"/></url>
<url><loc>https://scifaro.com/en/abs/negativity-of-the-chern-number-of-parameter-ideals-1205.6770</loc><lastmod>2012-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/negativity-of-the-chern-number-of-parameter-ideals-1205.6770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/negativity-of-the-chern-number-of-parameter-ideals-1205.6770"/></url>
<url><loc>https://scifaro.com/en/abs/corregindium-krull-dimension-overrings-and-semistar-operations-of-an-integral-domain-1205.6893</loc><lastmod>2012-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/corregindium-krull-dimension-overrings-and-semistar-operations-of-an-integral-domain-1205.6893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/corregindium-krull-dimension-overrings-and-semistar-operations-of-an-integral-domain-1205.6893"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-the-integral-closure-of-monomial-ideals-1205.6971</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-the-integral-closure-of-monomial-ideals-1205.6971"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-the-integral-closure-of-monomial-ideals-1205.6971"/></url>
<url><loc>https://scifaro.com/en/abs/large-self-injective-rings-and-the-generating-hypothesis-1206.0137</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/large-self-injective-rings-and-the-generating-hypothesis-1206.0137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/large-self-injective-rings-and-the-generating-hypothesis-1206.0137"/></url>
<url><loc>https://scifaro.com/en/abs/thoughts-on-eggert-s-conjecture-1206.0326</loc><lastmod>2015-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/thoughts-on-eggert-s-conjecture-1206.0326"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/thoughts-on-eggert-s-conjecture-1206.0326"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-functions-of-2-x-2-determinantal-rings-1206.1015</loc><lastmod>2012-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-2-x-2-determinantal-rings-1206.1015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-2-x-2-determinantal-rings-1206.1015"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-of-monomial-algebras-applications-and-algorithms-1206.1735</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-of-monomial-algebras-applications-and-algorithms-1206.1735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-of-monomial-algebras-applications-and-algorithms-1206.1735"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-degree-of-a-lattice-ideal-of-dimension-one-1206.1892</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-degree-of-a-lattice-ideal-of-dimension-one-1206.1892"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-degree-of-a-lattice-ideal-of-dimension-one-1206.1892"/></url>
<url><loc>https://scifaro.com/en/abs/toric-algebra-of-hypergraphs-1206.1904</loc><lastmod>2013-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-algebra-of-hypergraphs-1206.1904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-algebra-of-hypergraphs-1206.1904"/></url>
<url><loc>https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-1206.2233</loc><lastmod>2015-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-1206.2233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-1206.2233"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-degree-bound-for-toric-ideals-of-hypergraphs-1206.2512</loc><lastmod>2012-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-degree-bound-for-toric-ideals-of-hypergraphs-1206.2512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-degree-bound-for-toric-ideals-of-hypergraphs-1206.2512"/></url>
<url><loc>https://scifaro.com/en/abs/duality-for-bounded-derived-categories-of-complete-intersections-1206.2724</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-for-bounded-derived-categories-of-complete-intersections-1206.2724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-for-bounded-derived-categories-of-complete-intersections-1206.2724"/></url>
<url><loc>https://scifaro.com/en/abs/a-few-remarks-on-the-generalized-vanishing-conjecture-1206.2836</loc><lastmod>2013-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-few-remarks-on-the-generalized-vanishing-conjecture-1206.2836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-few-remarks-on-the-generalized-vanishing-conjecture-1206.2836"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-localizations-and-polymatroidal-ideals-1206.3069</loc><lastmod>2012-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-localizations-and-polymatroidal-ideals-1206.3069"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-localizations-and-polymatroidal-ideals-1206.3069"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-and-modules-1206.3197</loc><lastmod>2013-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-and-modules-1206.3197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-and-modules-1206.3197"/></url>
<url><loc>https://scifaro.com/en/abs/the-constructible-topology-on-spaces-of-valuation-domains-1206.3521</loc><lastmod>2012-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-constructible-topology-on-spaces-of-valuation-domains-1206.3521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-constructible-topology-on-spaces-of-valuation-domains-1206.3521"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-p-bases-of-rings-of-constants-1206.3546</loc><lastmod>2013-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-p-bases-of-rings-of-constants-1206.3546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-p-bases-of-rings-of-constants-1206.3546"/></url>
<url><loc>https://scifaro.com/en/abs/the-divisor-class-groups-and-the-graded-canonical-modules-of-multi-section-rings-1206.3712</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-divisor-class-groups-and-the-graded-canonical-modules-of-multi-section-rings-1206.3712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-divisor-class-groups-and-the-graded-canonical-modules-of-multi-section-rings-1206.3712"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-of-depth-of-monomial-ideals-1206.3977</loc><lastmod>2012-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-of-depth-of-monomial-ideals-1206.3977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-of-depth-of-monomial-ideals-1206.3977"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-associated-to-graded-families-of-ideals-1206.4077</loc><lastmod>2013-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-associated-to-graded-families-of-ideals-1206.4077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-associated-to-graded-families-of-ideals-1206.4077"/></url>
<url><loc>https://scifaro.com/en/abs/relating-f-signature-and-f-splitting-ratio-of-pairs-using-left-derivatives-1206.4293</loc><lastmod>2012-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relating-f-signature-and-f-splitting-ratio-of-pairs-using-left-derivatives-1206.4293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relating-f-signature-and-f-splitting-ratio-of-pairs-using-left-derivatives-1206.4293"/></url>
<url><loc>https://scifaro.com/en/abs/uber-die-assoziierten-primideale-der-vervollst-andigung-1206.4523</loc><lastmod>2012-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-die-assoziierten-primideale-der-vervollst-andigung-1206.4523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-die-assoziierten-primideale-der-vervollst-andigung-1206.4523"/></url>
<url><loc>https://scifaro.com/en/abs/leinartas-s-partial-fraction-decomposition-1206.4740</loc><lastmod>2012-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/leinartas-s-partial-fraction-decomposition-1206.4740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/leinartas-s-partial-fraction-decomposition-1206.4740"/></url>
<url><loc>https://scifaro.com/en/abs/the-generic-initial-ideals-of-powers-of-a-2-complete-intersection-1206.5750</loc><lastmod>2012-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-generic-initial-ideals-of-powers-of-a-2-complete-intersection-1206.5750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-generic-initial-ideals-of-powers-of-a-2-complete-intersection-1206.5750"/></url>
<url><loc>https://scifaro.com/en/abs/minkowski-s-inequality-and-sums-of-squares-1206.5783</loc><lastmod>2014-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minkowski-s-inequality-and-sums-of-squares-1206.5783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minkowski-s-inequality-and-sums-of-squares-1206.5783"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-and-sequentially-cohen-macaulay-modules-1206.5879</loc><lastmod>2012-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-and-sequentially-cohen-macaulay-modules-1206.5879"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-and-sequentially-cohen-macaulay-modules-1206.5879"/></url>
<url><loc>https://scifaro.com/en/abs/the-commutator-algebra-of-a-nilpotent-matrix-and-an-application-to-the-theory-of-commutative-artinian-algebras-1206.6574</loc><lastmod>2012-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-commutator-algebra-of-a-nilpotent-matrix-and-an-application-to-the-theory-of-commutative-artinian-algebras-1206.6574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-commutator-algebra-of-a-nilpotent-matrix-and-an-application-to-the-theory-of-commutative-artinian-algebras-1206.6574"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-m-full-ideals-and-componentwise-linear-ideals-1206.6579</loc><lastmod>2012-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-m-full-ideals-and-componentwise-linear-ideals-1206.6579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-m-full-ideals-and-componentwise-linear-ideals-1206.6579"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-minimal-graded-free-resolution-of-powers-of-lexsegment-ideals-1206.6731</loc><lastmod>2012-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-minimal-graded-free-resolution-of-powers-of-lexsegment-ideals-1206.6731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-minimal-graded-free-resolution-of-powers-of-lexsegment-ideals-1206.6731"/></url>
<url><loc>https://scifaro.com/en/abs/representing-the-gcd-as-linear-combination-in-non-pid-rings-1206.7005</loc><lastmod>2012-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/representing-the-gcd-as-linear-combination-in-non-pid-rings-1206.7005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/representing-the-gcd-as-linear-combination-in-non-pid-rings-1206.7005"/></url>
<url><loc>https://scifaro.com/en/abs/the-primary-components-of-positive-critical-binomial-ideals-1206.7094</loc><lastmod>2012-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-primary-components-of-positive-critical-binomial-ideals-1206.7094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-primary-components-of-positive-critical-binomial-ideals-1206.7094"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-variety-of-linear-recurrences-and-numerical-semigroups-1207.0111</loc><lastmod>2013-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-variety-of-linear-recurrences-and-numerical-semigroups-1207.0111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-variety-of-linear-recurrences-and-numerical-semigroups-1207.0111"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-degenerate-tori-over-finite-fields-1207.0244</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-degenerate-tori-over-finite-fields-1207.0244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-degenerate-tori-over-finite-fields-1207.0244"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-functors-with-monomial-support-1207.0610</loc><lastmod>2014-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-functors-with-monomial-support-1207.0610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-functors-with-monomial-support-1207.0610"/></url>
<url><loc>https://scifaro.com/en/abs/completion-by-derived-double-centralizer-1207.0612</loc><lastmod>2013-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completion-by-derived-double-centralizer-1207.0612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completion-by-derived-double-centralizer-1207.0612"/></url>
<url><loc>https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-1207.0630</loc><lastmod>2016-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-1207.0630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gpgcd-an-iterative-method-for-calculating-approximate-gcd-of-univariate-polynomials-1207.0630"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cofiniteness-of-generalized-local-cohomology-modules-1207.0703</loc><lastmod>2015-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cofiniteness-of-generalized-local-cohomology-modules-1207.0703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cofiniteness-of-generalized-local-cohomology-modules-1207.0703"/></url>
<url><loc>https://scifaro.com/en/abs/divisors-of-a-module-and-blow-up-1207.1060</loc><lastmod>2012-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisors-of-a-module-and-blow-up-1207.1060"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisors-of-a-module-and-blow-up-1207.1060"/></url>
<url><loc>https://scifaro.com/en/abs/filter-regular-sequences-and-generalized-local-cohomology-modules-1207.1296</loc><lastmod>2012-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filter-regular-sequences-and-generalized-local-cohomology-modules-1207.1296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filter-regular-sequences-and-generalized-local-cohomology-modules-1207.1296"/></url>
<url><loc>https://scifaro.com/en/abs/the-use-of-bad-primes-in-rational-reconstruction-1207.1651</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-use-of-bad-primes-in-rational-reconstruction-1207.1651"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-use-of-bad-primes-in-rational-reconstruction-1207.1651"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-3-linear-resolutions-1207.1789</loc><lastmod>2015-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-3-linear-resolutions-1207.1789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-3-linear-resolutions-1207.1789"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-free-resolution-of-ideals-which-are-minimal-to-d-linearity-1207.1790</loc><lastmod>2016-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-free-resolution-of-ideals-which-are-minimal-to-d-linearity-1207.1790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-free-resolution-of-ideals-which-are-minimal-to-d-linearity-1207.1790"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-modules-of-polynomial-or-power-series-rings-over-rings-of-small-dimension-1207.1896</loc><lastmod>2013-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-modules-of-polynomial-or-power-series-rings-over-rings-of-small-dimension-1207.1896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-modules-of-polynomial-or-power-series-rings-over-rings-of-small-dimension-1207.1896"/></url>
<url><loc>https://scifaro.com/en/abs/triplets-of-pure-free-squarefree-complexes-1207.2071</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/triplets-of-pure-free-squarefree-complexes-1207.2071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/triplets-of-pure-free-squarefree-complexes-1207.2071"/></url>
<url><loc>https://scifaro.com/en/abs/chain-polytopes-and-algebras-with-straightening-laws-1207.2538</loc><lastmod>2012-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chain-polytopes-and-algebras-with-straightening-laws-1207.2538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chain-polytopes-and-algebras-with-straightening-laws-1207.2538"/></url>
<url><loc>https://scifaro.com/en/abs/coarsening-of-graded-local-cohomology-1207.2547</loc><lastmod>2014-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coarsening-of-graded-local-cohomology-1207.2547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coarsening-of-graded-local-cohomology-1207.2547"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-of-some-results-for-mixed-multiplicities-1207.2850</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-of-some-results-for-mixed-multiplicities-1207.2850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-of-some-results-for-mixed-multiplicities-1207.2850"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ascending-chain-condition-for-mixed-difference-ideals-1207.4721</loc><lastmod>2013-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ascending-chain-condition-for-mixed-difference-ideals-1207.4721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ascending-chain-condition-for-mixed-difference-ideals-1207.4721"/></url>
<url><loc>https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-1207.4757</loc><lastmod>2012-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-1207.4757"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-1207.4757"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-non-existence-of-small-cohen-macaulay-algebras-1207.5413</loc><lastmod>2012-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-non-existence-of-small-cohen-macaulay-algebras-1207.5413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-non-existence-of-small-cohen-macaulay-algebras-1207.5413"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-3-in-edge-ideals-associated-to-bipartite-graphs-1207.5553</loc><lastmod>2012-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-3-in-edge-ideals-associated-to-bipartite-graphs-1207.5553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-3-in-edge-ideals-associated-to-bipartite-graphs-1207.5553"/></url>
<url><loc>https://scifaro.com/en/abs/three-flavors-of-extremal-betti-tables-1207.5707</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-flavors-of-extremal-betti-tables-1207.5707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-flavors-of-extremal-betti-tables-1207.5707"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-invariants-in-half-factorial-affine-semigroups-1207.5838</loc><lastmod>2013-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-invariants-in-half-factorial-affine-semigroups-1207.5838"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-invariants-in-half-factorial-affine-semigroups-1207.5838"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-homogeneous-divisors-1207.5862</loc><lastmod>2012-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-homogeneous-divisors-1207.5862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-homogeneous-divisors-1207.5862"/></url>
<url><loc>https://scifaro.com/en/abs/modules-that-detect-finite-homological-dimensions-1207.5869</loc><lastmod>2015-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-that-detect-finite-homological-dimensions-1207.5869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-that-detect-finite-homological-dimensions-1207.5869"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-category-of-profinite-spaces-as-a-reflective-subcategory-1207.5963</loc><lastmod>2012-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-category-of-profinite-spaces-as-a-reflective-subcategory-1207.5963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-category-of-profinite-spaces-as-a-reflective-subcategory-1207.5963"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-edge-ideal-of-a-graph-1207.6249</loc><lastmod>2015-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-edge-ideal-of-a-graph-1207.6249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-edge-ideal-of-a-graph-1207.6249"/></url>
<url><loc>https://scifaro.com/en/abs/analytic-isomorphisms-of-compressed-local-algebras-1207.6919</loc><lastmod>2012-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analytic-isomorphisms-of-compressed-local-algebras-1207.6919"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analytic-isomorphisms-of-compressed-local-algebras-1207.6919"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-multiplicity-and-mixed-multiplicity-formulas-forum-math-26-2014-413-442-1208.0233</loc><lastmod>2014-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-multiplicity-and-mixed-multiplicity-formulas-forum-math-26-2014-413-442-1208.0233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-multiplicity-and-mixed-multiplicity-formulas-forum-math-26-2014-413-442-1208.0233"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-formulas-transmuting-mixed-multiplicities-1208.0234</loc><lastmod>2012-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-formulas-transmuting-mixed-multiplicities-1208.0234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-formulas-transmuting-mixed-multiplicities-1208.0234"/></url>
<url><loc>https://scifaro.com/en/abs/a-counter-example-to-the-cancellation-problem-for-the-affine-space-a-3-in-characteristic-p-1208.0483</loc><lastmod>2013-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counter-example-to-the-cancellation-problem-for-the-affine-space-a-3-in-characteristic-p-1208.0483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counter-example-to-the-cancellation-problem-for-the-affine-space-a-3-in-characteristic-p-1208.0483"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-euclidean-order-types-1208.0977</loc><lastmod>2012-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-euclidean-order-types-1208.0977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-euclidean-order-types-1208.0977"/></url>
<url><loc>https://scifaro.com/en/abs/split-embedding-problems-over-the-open-arithmetic-disc-1208.1044</loc><lastmod>2012-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/split-embedding-problems-over-the-open-arithmetic-disc-1208.1044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/split-embedding-problems-over-the-open-arithmetic-disc-1208.1044"/></url>
<url><loc>https://scifaro.com/en/abs/computing-constraint-sets-for-differential-fields-1208.1152</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-constraint-sets-for-differential-fields-1208.1152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-constraint-sets-for-differential-fields-1208.1152"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hermitian-curve-its-intersections-with-some-conics-and-their-applications-to-affine-variety-codes-and-hermitian-codes-1208.1627</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hermitian-curve-its-intersections-with-some-conics-and-their-applications-to-affine-variety-codes-and-hermitian-codes-1208.1627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hermitian-curve-its-intersections-with-some-conics-and-their-applications-to-affine-variety-codes-and-hermitian-codes-1208.1627"/></url>
<url><loc>https://scifaro.com/en/abs/a-simplified-version-of-the-axis-of-evil-theorem-for-distinct-points-1208.1695</loc><lastmod>2012-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-simplified-version-of-the-axis-of-evil-theorem-for-distinct-points-1208.1695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-simplified-version-of-the-axis-of-evil-theorem-for-distinct-points-1208.1695"/></url>
<url><loc>https://scifaro.com/en/abs/lexsegment-ideals-of-hilbert-depth-1-1208.1822</loc><lastmod>2012-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lexsegment-ideals-of-hilbert-depth-1-1208.1822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lexsegment-ideals-of-hilbert-depth-1-1208.1822"/></url>
<url><loc>https://scifaro.com/en/abs/on-an-endomorphism-ring-of-local-cohomology-1208.2098</loc><lastmod>2012-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-an-endomorphism-ring-of-local-cohomology-1208.2098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-an-endomorphism-ring-of-local-cohomology-1208.2098"/></url>
<url><loc>https://scifaro.com/en/abs/the-lex-plus-power-inequality-for-local-cohomology-modules-1208.2187</loc><lastmod>2013-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lex-plus-power-inequality-for-local-cohomology-modules-1208.2187"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lex-plus-power-inequality-for-local-cohomology-modules-1208.2187"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-one-parameter-family-of-second-order-linear-differential-equations-1208.2226</loc><lastmod>2012-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-one-parameter-family-of-second-order-linear-differential-equations-1208.2226"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-one-parameter-family-of-second-order-linear-differential-equations-1208.2226"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-bounds-for-binomial-edge-ideals-1208.2415</loc><lastmod>2012-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-bounds-for-binomial-edge-ideals-1208.2415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-bounds-for-binomial-edge-ideals-1208.2415"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-rees-algebras-1208.2466</loc><lastmod>2012-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-rees-algebras-1208.2466"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-rees-algebras-1208.2466"/></url>
<url><loc>https://scifaro.com/en/abs/generic-formal-fibers-and-analytically-ramified-stable-rings-1208.2913</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-formal-fibers-and-analytically-ramified-stable-rings-1208.2913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-formal-fibers-and-analytically-ramified-stable-rings-1208.2913"/></url>
<url><loc>https://scifaro.com/en/abs/prime-splittings-of-determinantal-ideals-1208.2930</loc><lastmod>2019-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-splittings-of-determinantal-ideals-1208.2930"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-splittings-of-determinantal-ideals-1208.2930"/></url>
<url><loc>https://scifaro.com/en/abs/the-maximal-denumerant-of-a-numerical-semigroup-1208.3167</loc><lastmod>2014-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-maximal-denumerant-of-a-numerical-semigroup-1208.3167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-maximal-denumerant-of-a-numerical-semigroup-1208.3167"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-level-algebras-of-low-socle-degree-1208.3506</loc><lastmod>2012-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-level-algebras-of-low-socle-degree-1208.3506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-level-algebras-of-low-socle-degree-1208.3506"/></url>
<url><loc>https://scifaro.com/en/abs/cohomologically-cofinite-complexes-1208.4064</loc><lastmod>2013-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomologically-cofinite-complexes-1208.4064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomologically-cofinite-complexes-1208.4064"/></url>
<url><loc>https://scifaro.com/en/abs/the-derived-category-analogue-of-the-hartshorne-lichtenbaum-vanishing-theorem-1208.4447</loc><lastmod>2012-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-derived-category-analogue-of-the-hartshorne-lichtenbaum-vanishing-theorem-1208.4447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-derived-category-analogue-of-the-hartshorne-lichtenbaum-vanishing-theorem-1208.4447"/></url>
<url><loc>https://scifaro.com/en/abs/bass-numbers-over-local-rings-via-stable-cohomology-1208.4458</loc><lastmod>2012-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-numbers-over-local-rings-via-stable-cohomology-1208.4458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-numbers-over-local-rings-via-stable-cohomology-1208.4458"/></url>
<url><loc>https://scifaro.com/en/abs/persistence-and-stability-properties-of-powers-of-ideals-1208.4684</loc><lastmod>2012-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/persistence-and-stability-properties-of-powers-of-ideals-1208.4684"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/persistence-and-stability-properties-of-powers-of-ideals-1208.4684"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-constancy-regions-for-mixed-test-ideals-1208.5158</loc><lastmod>2012-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-constancy-regions-for-mixed-test-ideals-1208.5158"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-constancy-regions-for-mixed-test-ideals-1208.5158"/></url>
<url><loc>https://scifaro.com/en/abs/fat-lines-in-p-3-powers-versus-symbolic-powers-1208.5221</loc><lastmod>2012-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fat-lines-in-p-3-powers-versus-symbolic-powers-1208.5221"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fat-lines-in-p-3-powers-versus-symbolic-powers-1208.5221"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-lyubeznik-numbers-1208.5500</loc><lastmod>2012-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-lyubeznik-numbers-1208.5500"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-lyubeznik-numbers-1208.5500"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-in-mixed-characteristic-1208.5525</loc><lastmod>2012-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-in-mixed-characteristic-1208.5525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-in-mixed-characteristic-1208.5525"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-artinian-and-mini-max-modules-ii-1208.5534</loc><lastmod>2012-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-artinian-and-mini-max-modules-ii-1208.5534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-artinian-and-mini-max-modules-ii-1208.5534"/></url>
<url><loc>https://scifaro.com/en/abs/the-index-of-a-numerical-semigroup-ring-1208.5625</loc><lastmod>2013-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-index-of-a-numerical-semigroup-ring-1208.5625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-index-of-a-numerical-semigroup-ring-1208.5625"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-content-of-polynomials-over-semirings-and-its-applications-1208.5637</loc><lastmod>2016-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-content-of-polynomials-over-semirings-and-its-applications-1208.5637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-content-of-polynomials-over-semirings-and-its-applications-1208.5637"/></url>
<url><loc>https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-over-local-rings-of-higher-dimension-1208.5730</loc><lastmod>2017-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-over-local-rings-of-higher-dimension-1208.5730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/brauer-thrall-for-totally-reflexive-modules-over-local-rings-of-higher-dimension-1208.5730"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-local-cohomology-modules-deffined-by-a-pair-of-ideals-and-serre-subcategories-1208.5934</loc><lastmod>2016-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-local-cohomology-modules-deffined-by-a-pair-of-ideals-and-serre-subcategories-1208.5934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-local-cohomology-modules-deffined-by-a-pair-of-ideals-and-serre-subcategories-1208.5934"/></url>
<url><loc>https://scifaro.com/en/abs/new-constructions-of-cremona-maps-1208.6032</loc><lastmod>2012-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-constructions-of-cremona-maps-1208.6032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-constructions-of-cremona-maps-1208.6032"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-s-theta-pairing-and-numerical-equivalence-1208.6083</loc><lastmod>2012-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-s-theta-pairing-and-numerical-equivalence-1208.6083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-s-theta-pairing-and-numerical-equivalence-1208.6083"/></url>
<url><loc>https://scifaro.com/en/abs/graphical-models-in-macaulay2-1208.6550</loc><lastmod>2013-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graphical-models-in-macaulay2-1208.6550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graphical-models-in-macaulay2-1208.6550"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-compute-the-multigraded-hilbert-depth-of-a-module-1209.0084</loc><lastmod>2013-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-compute-the-multigraded-hilbert-depth-of-a-module-1209.0084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-compute-the-multigraded-hilbert-depth-of-a-module-1209.0084"/></url>
<url><loc>https://scifaro.com/en/abs/j-sally-s-question-and-a-conjecture-of-y-shimoda-1209.0672</loc><lastmod>2015-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/j-sally-s-question-and-a-conjecture-of-y-shimoda-1209.0672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/j-sally-s-question-and-a-conjecture-of-y-shimoda-1209.0672"/></url>
<url><loc>https://scifaro.com/en/abs/polygons-in-quadratically-closed-rings-and-properties-of-n-adically-closed-rings-1209.2220</loc><lastmod>2013-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polygons-in-quadratically-closed-rings-and-properties-of-n-adically-closed-rings-1209.2220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polygons-in-quadratically-closed-rings-and-properties-of-n-adically-closed-rings-1209.2220"/></url>
<url><loc>https://scifaro.com/en/abs/reducing-the-size-and-number-of-linear-programs-in-a-dynamic-gr-obner-basis-algorithm-1209.2379</loc><lastmod>2014-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducing-the-size-and-number-of-linear-programs-in-a-dynamic-gr-obner-basis-algorithm-1209.2379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducing-the-size-and-number-of-linear-programs-in-a-dynamic-gr-obner-basis-algorithm-1209.2379"/></url>
<url><loc>https://scifaro.com/en/abs/the-golod-property-for-products-and-high-symbolic-powers-of-monomial-ideals-1209.2577</loc><lastmod>2012-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-golod-property-for-products-and-high-symbolic-powers-of-monomial-ideals-1209.2577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-golod-property-for-products-and-high-symbolic-powers-of-monomial-ideals-1209.2577"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-perfect-ideals-of-codimension-2-and-birational-maps-1209.2899</loc><lastmod>2013-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-perfect-ideals-of-codimension-2-and-birational-maps-1209.2899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-perfect-ideals-of-codimension-2-and-birational-maps-1209.2899"/></url>
<url><loc>https://scifaro.com/en/abs/one-dimensional-bad-noetherian-domains-1209.2991</loc><lastmod>2012-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-dimensional-bad-noetherian-domains-1209.2991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-dimensional-bad-noetherian-domains-1209.2991"/></url>
<url><loc>https://scifaro.com/en/abs/partial-coloring-vertex-decomposability-and-sequentially-cohen-macaulay-simplicial-complexes-1209.3008</loc><lastmod>2019-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partial-coloring-vertex-decomposability-and-sequentially-cohen-macaulay-simplicial-complexes-1209.3008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partial-coloring-vertex-decomposability-and-sequentially-cohen-macaulay-simplicial-complexes-1209.3008"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-local-homology-modules-1209.3417</loc><lastmod>2012-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-local-homology-modules-1209.3417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-local-homology-modules-1209.3417"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-associated-graded-module-in-dimension-one-1209.3469</loc><lastmod>2014-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-associated-graded-module-in-dimension-one-1209.3469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-associated-graded-module-in-dimension-one-1209.3469"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-of-ideals-1209.4070</loc><lastmod>2012-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-of-ideals-1209.4070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-of-ideals-1209.4070"/></url>
<url><loc>https://scifaro.com/en/abs/a-refinement-of-izumi-s-theorem-1209.4104</loc><lastmod>2012-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-refinement-of-izumi-s-theorem-1209.4104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-refinement-of-izumi-s-theorem-1209.4104"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-valuations-extending-a-valuation-1209.4172</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-valuations-extending-a-valuation-1209.4172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-valuations-extending-a-valuation-1209.4172"/></url>
<url><loc>https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-examples-1209.4256</loc><lastmod>2012-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-examples-1209.4256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-examples-1209.4256"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-closed-graphs-and-f-purity-of-binomial-edge-ideals-1209.4300</loc><lastmod>2017-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-closed-graphs-and-f-purity-of-binomial-edge-ideals-1209.4300"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-closed-graphs-and-f-purity-of-binomial-edge-ideals-1209.4300"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-series-fields-and-exponential-logarithmic-series-fields-with-derivations-1209.4559</loc><lastmod>2018-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-series-fields-and-exponential-logarithmic-series-fields-with-derivations-1209.4559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-series-fields-and-exponential-logarithmic-series-fields-with-derivations-1209.4559"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-deviation-1209.4972</loc><lastmod>2012-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-deviation-1209.4972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-deviation-1209.4972"/></url>
<url><loc>https://scifaro.com/en/abs/some-homological-criteria-for-regular-complete-intersection-and-gorenstein-rings-1209.5051</loc><lastmod>2013-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-homological-criteria-for-regular-complete-intersection-and-gorenstein-rings-1209.5051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-homological-criteria-for-regular-complete-intersection-and-gorenstein-rings-1209.5051"/></url>
<url><loc>https://scifaro.com/en/abs/on-tensor-products-of-complete-intersections-1209.5053</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tensor-products-of-complete-intersections-1209.5053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tensor-products-of-complete-intersections-1209.5053"/></url>
<url><loc>https://scifaro.com/en/abs/a-descent-theorem-for-formal-smoothness-1209.5055</loc><lastmod>2019-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-descent-theorem-for-formal-smoothness-1209.5055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-descent-theorem-for-formal-smoothness-1209.5055"/></url>
<url><loc>https://scifaro.com/en/abs/chorded-complexes-and-a-necessary-condition-for-a-monomial-ideal-to-have-a-linear-resolution-1209.5089</loc><lastmod>2013-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chorded-complexes-and-a-necessary-condition-for-a-monomial-ideal-to-have-a-linear-resolution-1209.5089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chorded-complexes-and-a-necessary-condition-for-a-monomial-ideal-to-have-a-linear-resolution-1209.5089"/></url>
<url><loc>https://scifaro.com/en/abs/introduction-to-twisted-commutative-algebras-1209.5122</loc><lastmod>2012-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/introduction-to-twisted-commutative-algebras-1209.5122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/introduction-to-twisted-commutative-algebras-1209.5122"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-monomial-ideals-with-constant-depth-function-1209.5890</loc><lastmod>2012-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-with-constant-depth-function-1209.5890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-with-constant-depth-function-1209.5890"/></url>
<url><loc>https://scifaro.com/en/abs/non-normal-affine-monoids-1209.6258</loc><lastmod>2015-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-normal-affine-monoids-1209.6258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-normal-affine-monoids-1209.6258"/></url>
<url><loc>https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-gauss-s-lemma-1209.6307</loc><lastmod>2012-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-gauss-s-lemma-1209.6307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-gauss-s-lemma-1209.6307"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-cut-ideals-of-trees-1209.6372</loc><lastmod>2013-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-cut-ideals-of-trees-1209.6372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-cut-ideals-of-trees-1209.6372"/></url>
<url><loc>https://scifaro.com/en/abs/building-modules-from-the-singular-locus-1210.0055</loc><lastmod>2014-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/building-modules-from-the-singular-locus-1210.0055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/building-modules-from-the-singular-locus-1210.0055"/></url>
<url><loc>https://scifaro.com/en/abs/reduction-numbers-and-balanced-ideals-1210.0067</loc><lastmod>2012-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduction-numbers-and-balanced-ideals-1210.0067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduction-numbers-and-balanced-ideals-1210.0067"/></url>
<url><loc>https://scifaro.com/en/abs/derived-categories-of-absolutely-flat-rings-1210.0399</loc><lastmod>2012-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-categories-of-absolutely-flat-rings-1210.0399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-categories-of-absolutely-flat-rings-1210.0399"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-from-an-order-theoretic-view-1-2-1210.1284</loc><lastmod>2012-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-from-an-order-theoretic-view-1-2-1210.1284"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-from-an-order-theoretic-view-1-2-1210.1284"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-r-partite-graphs-with-minimal-clique-cover-1210.1336</loc><lastmod>2012-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-r-partite-graphs-with-minimal-clique-cover-1210.1336"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-r-partite-graphs-with-minimal-clique-cover-1210.1336"/></url>
<url><loc>https://scifaro.com/en/abs/the-asymptotic-behaviour-of-symbolic-generic-initial-systems-of-points-in-general-position-1210.1622</loc><lastmod>2012-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-asymptotic-behaviour-of-symbolic-generic-initial-systems-of-points-in-general-position-1210.1622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-asymptotic-behaviour-of-symbolic-generic-initial-systems-of-points-in-general-position-1210.1622"/></url>
<url><loc>https://scifaro.com/en/abs/localization-of-rota-baxter-algebras-1210.1799</loc><lastmod>2014-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localization-of-rota-baxter-algebras-1210.1799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localization-of-rota-baxter-algebras-1210.1799"/></url>
<url><loc>https://scifaro.com/en/abs/graphs-and-complete-intersection-toric-ideals-1210.1950</loc><lastmod>2015-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graphs-and-complete-intersection-toric-ideals-1210.1950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graphs-and-complete-intersection-toric-ideals-1210.1950"/></url>
<url><loc>https://scifaro.com/en/abs/reconstruction-from-koszul-homology-and-applications-to-module-and-derived-categories-1210.1982</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reconstruction-from-koszul-homology-and-applications-to-module-and-derived-categories-1210.1982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reconstruction-from-koszul-homology-and-applications-to-module-and-derived-categories-1210.1982"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-radical-of-multigraded-modules-1210.2026</loc><lastmod>2012-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-radical-of-multigraded-modules-1210.2026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-radical-of-multigraded-modules-1210.2026"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-quotient-of-monomial-complete-intersection-ideals-1210.2214</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-quotient-of-monomial-complete-intersection-ideals-1210.2214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-quotient-of-monomial-complete-intersection-ideals-1210.2214"/></url>
<url><loc>https://scifaro.com/en/abs/contracting-endomorphisms-and-dualizing-complexes-1210.2700</loc><lastmod>2012-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-dualizing-complexes-1210.2700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/contracting-endomorphisms-and-dualizing-complexes-1210.2700"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-local-cohomology-of-flat-extensions-with-regular-fibers-and-sigma-finite-d-modules-1210.3107</loc><lastmod>2012-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-local-cohomology-of-flat-extensions-with-regular-fibers-and-sigma-finite-d-modules-1210.3107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-local-cohomology-of-flat-extensions-with-regular-fibers-and-sigma-finite-d-modules-1210.3107"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-and-their-circuits-1210.3204</loc><lastmod>2014-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-and-their-circuits-1210.3204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-and-their-circuits-1210.3204"/></url>
<url><loc>https://scifaro.com/en/abs/deformation-of-f-injectivity-and-local-cohomology-1210.3589</loc><lastmod>2013-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformation-of-f-injectivity-and-local-cohomology-1210.3589"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformation-of-f-injectivity-and-local-cohomology-1210.3589"/></url>
<url><loc>https://scifaro.com/en/abs/semi-addivitity-and-acyclicity-1210.3855</loc><lastmod>2012-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-addivitity-and-acyclicity-1210.3855"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-addivitity-and-acyclicity-1210.3855"/></url>
<url><loc>https://scifaro.com/en/abs/algebraization-of-a-cartier-divisor-1210.4176</loc><lastmod>2012-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraization-of-a-cartier-divisor-1210.4176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraization-of-a-cartier-divisor-1210.4176"/></url>
<url><loc>https://scifaro.com/en/abs/s-hankel-hypermatrices-and-2-x-2-determinantal-ideals-1210.4230</loc><lastmod>2016-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-hankel-hypermatrices-and-2-x-2-determinantal-ideals-1210.4230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-hankel-hypermatrices-and-2-x-2-determinantal-ideals-1210.4230"/></url>
<url><loc>https://scifaro.com/en/abs/a-computational-approach-to-the-discriminant-of-homogeneous-polynomials-1210.4697</loc><lastmod>2012-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-computational-approach-to-the-discriminant-of-homogeneous-polynomials-1210.4697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-computational-approach-to-the-discriminant-of-homogeneous-polynomials-1210.4697"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-and-tensor-product-of-modules-1210.4767</loc><lastmod>2016-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-and-tensor-product-of-modules-1210.4767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-and-tensor-product-of-modules-1210.4767"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-jeffrey-kirwan-residue-using-gr-obner-basis-1210.5155</loc><lastmod>2019-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-jeffrey-kirwan-residue-using-gr-obner-basis-1210.5155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-jeffrey-kirwan-residue-using-gr-obner-basis-1210.5155"/></url>
<url><loc>https://scifaro.com/en/abs/coarsenings-injectives-and-hom-functors-1210.5325</loc><lastmod>2013-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coarsenings-injectives-and-hom-functors-1210.5325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coarsenings-injectives-and-hom-functors-1210.5325"/></url>
<url><loc>https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-and-betti-numbers-1210.5562</loc><lastmod>2014-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-and-betti-numbers-1210.5562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poset-embeddings-of-hilbert-functions-and-betti-numbers-1210.5562"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-cohomology-over-complete-intersection-rings-1210.5882</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-cohomology-over-complete-intersection-rings-1210.5882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-cohomology-over-complete-intersection-rings-1210.5882"/></url>
<url><loc>https://scifaro.com/en/abs/a-non-commutative-f5-algorithm-with-an-application-to-the-computation-of-loewy-layers-1210.6614</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-non-commutative-f5-algorithm-with-an-application-to-the-computation-of-loewy-layers-1210.6614"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-non-commutative-f5-algorithm-with-an-application-to-the-computation-of-loewy-layers-1210.6614"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-regularity-of-local-cohomology-of-bigraded-modules-1210.6616</loc><lastmod>2012-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-local-cohomology-of-bigraded-modules-1210.6616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-local-cohomology-of-bigraded-modules-1210.6616"/></url>
<url><loc>https://scifaro.com/en/abs/the-f-pure-threshold-of-a-determinantal-ideal-1210.6729</loc><lastmod>2013-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f-pure-threshold-of-a-determinantal-ideal-1210.6729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f-pure-threshold-of-a-determinantal-ideal-1210.6729"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimension-for-differential-graded-algebras-1210.7270</loc><lastmod>2013-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimension-for-differential-graded-algebras-1210.7270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimension-for-differential-graded-algebras-1210.7270"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-the-g-parking-function-ideal-and-the-toppling-ideal-1210.7569</loc><lastmod>2012-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-the-g-parking-function-ideal-and-the-toppling-ideal-1210.7569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-the-g-parking-function-ideal-and-the-toppling-ideal-1210.7569"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-binomial-edge-ideals-1210.7960</loc><lastmod>2014-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-1210.7960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-1210.7960"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-and-gracefulness-of-some-planar-graphs-1210.8198</loc><lastmod>2024-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-and-gracefulness-of-some-planar-graphs-1210.8198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-and-gracefulness-of-some-planar-graphs-1210.8198"/></url>
<url><loc>https://scifaro.com/en/abs/the-asymptotics-of-symbolic-generic-initial-systems-of-six-points-in-p2-1210.8203</loc><lastmod>2013-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-asymptotics-of-symbolic-generic-initial-systems-of-six-points-in-p2-1210.8203"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-asymptotics-of-symbolic-generic-initial-systems-of-six-points-in-p2-1210.8203"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-circulant-graphs-1210.8351</loc><lastmod>2012-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-circulant-graphs-1210.8351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-circulant-graphs-1210.8351"/></url>
<url><loc>https://scifaro.com/en/abs/the-category-of-f-modules-has-finite-global-dimension-1210.8387</loc><lastmod>2013-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-category-of-f-modules-has-finite-global-dimension-1210.8387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-category-of-f-modules-has-finite-global-dimension-1210.8387"/></url>
<url><loc>https://scifaro.com/en/abs/a-sufficient-condition-for-f-purity-1210.8391</loc><lastmod>2013-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sufficient-condition-for-f-purity-1210.8391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sufficient-condition-for-f-purity-1210.8391"/></url>
<url><loc>https://scifaro.com/en/abs/eulerian-graded-d-modules-1210.8402</loc><lastmod>2016-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eulerian-graded-d-modules-1210.8402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eulerian-graded-d-modules-1210.8402"/></url>
<url><loc>https://scifaro.com/en/abs/on-test-modules-for-flat-dimension-1211.0734</loc><lastmod>2012-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-test-modules-for-flat-dimension-1211.0734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-test-modules-for-flat-dimension-1211.0734"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-transform-of-an-acyclic-complex-of-length-3-1211.0738</loc><lastmod>2012-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-transform-of-an-acyclic-complex-of-length-3-1211.0738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-transform-of-an-acyclic-complex-of-length-3-1211.0738"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-some-square-free-monomial-ideals-1211.0842</loc><lastmod>2012-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-some-square-free-monomial-ideals-1211.0842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-some-square-free-monomial-ideals-1211.0842"/></url>
<url><loc>https://scifaro.com/en/abs/the-euler-poincare-characteristic-and-mixed-multiplicities-1211.1238</loc><lastmod>2015-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-euler-poincare-characteristic-and-mixed-multiplicities-1211.1238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-euler-poincare-characteristic-and-mixed-multiplicities-1211.1238"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-multiplicity-of-gorenstein-algebras-1211.1316</loc><lastmod>2012-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-multiplicity-of-gorenstein-algebras-1211.1316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-multiplicity-of-gorenstein-algebras-1211.1316"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-and-stability-of-certain-sets-of-associated-primes-ideals-of-local-cohomology-modules-1211.1477</loc><lastmod>2012-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-and-stability-of-certain-sets-of-associated-primes-ideals-of-local-cohomology-modules-1211.1477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-and-stability-of-certain-sets-of-associated-primes-ideals-of-local-cohomology-modules-1211.1477"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-and-singularities-of-tensor-product-surfaces-of-bidegree-2-1-1211.1648</loc><lastmod>2014-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-and-singularities-of-tensor-product-surfaces-of-bidegree-2-1-1211.1648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-and-singularities-of-tensor-product-surfaces-of-bidegree-2-1-1211.1648"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-top-degree-of-coinvariants-1211.1876</loc><lastmod>2015-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-top-degree-of-coinvariants-1211.1876"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-top-degree-of-coinvariants-1211.1876"/></url>
<url><loc>https://scifaro.com/en/abs/la-conjecture-de-casas-alvero-pour-les-degr-es-5p-e-1211.2059</loc><lastmod>2012-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/la-conjecture-de-casas-alvero-pour-les-degr-es-5p-e-1211.2059"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/la-conjecture-de-casas-alvero-pour-les-degr-es-5p-e-1211.2059"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-connectedness-of-the-spectrum-of-forcing-algebras-1211.2625</loc><lastmod>2012-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-connectedness-of-the-spectrum-of-forcing-algebras-1211.2625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-connectedness-of-the-spectrum-of-forcing-algebras-1211.2625"/></url>
<url><loc>https://scifaro.com/en/abs/on-sums-of-homogeneous-locally-nilpotent-derivations-1211.2752</loc><lastmod>2012-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-sums-of-homogeneous-locally-nilpotent-derivations-1211.2752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-sums-of-homogeneous-locally-nilpotent-derivations-1211.2752"/></url>
<url><loc>https://scifaro.com/en/abs/a-fast-flatness-testing-algorithm-in-characteristic-zero-1211.2834</loc><lastmod>2017-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-fast-flatness-testing-algorithm-in-characteristic-zero-1211.2834"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-fast-flatness-testing-algorithm-in-characteristic-zero-1211.2834"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-and-tensor-products-over-domains-and-specializations-to-semigroup-rings-1211.2896</loc><lastmod>2012-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-and-tensor-products-over-domains-and-specializations-to-semigroup-rings-1211.2896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-and-tensor-products-over-domains-and-specializations-to-semigroup-rings-1211.2896"/></url>
<url><loc>https://scifaro.com/en/abs/brauer-thrall-theory-for-maximal-cohen-macaulay-modules-1211.3172</loc><lastmod>2012-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/brauer-thrall-theory-for-maximal-cohen-macaulay-modules-1211.3172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/brauer-thrall-theory-for-maximal-cohen-macaulay-modules-1211.3172"/></url>
<url><loc>https://scifaro.com/en/abs/a-linear-formula-for-the-generalized-multiplicity-sequence-1211.3192</loc><lastmod>2012-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-linear-formula-for-the-generalized-multiplicity-sequence-1211.3192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-linear-formula-for-the-generalized-multiplicity-sequence-1211.3192"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-invariants-of-weyl-groups-for-kac-moody-groups-1211.3197</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-invariants-of-weyl-groups-for-kac-moody-groups-1211.3197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-invariants-of-weyl-groups-for-kac-moody-groups-1211.3197"/></url>
<url><loc>https://scifaro.com/en/abs/boolean-ideals-and-their-varieties-1211.3398</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boolean-ideals-and-their-varieties-1211.3398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boolean-ideals-and-their-varieties-1211.3398"/></url>
<url><loc>https://scifaro.com/en/abs/k-groups-for-rings-of-finite-cohen-macaulay-type-1211.3445</loc><lastmod>2013-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-groups-for-rings-of-finite-cohen-macaulay-type-1211.3445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-groups-for-rings-of-finite-cohen-macaulay-type-1211.3445"/></url>
<url><loc>https://scifaro.com/en/abs/a-remark-on-a-conjecture-of-derksen-1211.3483</loc><lastmod>2012-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-remark-on-a-conjecture-of-derksen-1211.3483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-remark-on-a-conjecture-of-derksen-1211.3483"/></url>
<url><loc>https://scifaro.com/en/abs/the-numerical-duplication-of-a-numerical-semigroup-1211.3693</loc><lastmod>2012-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-numerical-duplication-of-a-numerical-semigroup-1211.3693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-numerical-duplication-of-a-numerical-semigroup-1211.3693"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-spanned-by-maximal-cohen-macaulay-modules-and-an-application-1211.4016</loc><lastmod>2015-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-spanned-by-maximal-cohen-macaulay-modules-and-an-application-1211.4016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-spanned-by-maximal-cohen-macaulay-modules-and-an-application-1211.4016"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-cofiniteness-and-artinianness-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1211.4204</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-cofiniteness-and-artinianness-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1211.4204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-cofiniteness-and-artinianness-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1211.4204"/></url>
<url><loc>https://scifaro.com/en/abs/hypergraphs-and-the-regularity-of-square-free-monomial-ideals-1211.4301</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hypergraphs-and-the-regularity-of-square-free-monomial-ideals-1211.4301"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hypergraphs-and-the-regularity-of-square-free-monomial-ideals-1211.4301"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-algebras-and-regularity-1211.4324</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-algebras-and-regularity-1211.4324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-algebras-and-regularity-1211.4324"/></url>
<url><loc>https://scifaro.com/en/abs/new-free-divisors-from-old-1211.4327</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-free-divisors-from-old-1211.4327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-free-divisors-from-old-1211.4327"/></url>
<url><loc>https://scifaro.com/en/abs/huneke-wiegand-conjecture-for-complete-intersection-numerical-semigroup-rings-1211.4554</loc><lastmod>2012-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/huneke-wiegand-conjecture-for-complete-intersection-numerical-semigroup-rings-1211.4554"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/huneke-wiegand-conjecture-for-complete-intersection-numerical-semigroup-rings-1211.4554"/></url>
<url><loc>https://scifaro.com/en/abs/modular-decomposition-of-the-orlik-terao-algebra-of-a-hyperplane-arrangement-1211.4562</loc><lastmod>2014-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-decomposition-of-the-orlik-terao-algebra-of-a-hyperplane-arrangement-1211.4562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-decomposition-of-the-orlik-terao-algebra-of-a-hyperplane-arrangement-1211.4562"/></url>
<url><loc>https://scifaro.com/en/abs/depths-and-cohen-macaulay-properties-of-path-ideals-1211.4647</loc><lastmod>2012-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depths-and-cohen-macaulay-properties-of-path-ideals-1211.4647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depths-and-cohen-macaulay-properties-of-path-ideals-1211.4647"/></url>
<url><loc>https://scifaro.com/en/abs/on-free-resolutions-of-some-semigroup-rings-1211.4747</loc><lastmod>2013-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-free-resolutions-of-some-semigroup-rings-1211.4747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-free-resolutions-of-some-semigroup-rings-1211.4747"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-local-cohomology-and-duality-1211.4956</loc><lastmod>2012-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-local-cohomology-and-duality-1211.4956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-local-cohomology-and-duality-1211.4956"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-certain-modules-of-finite-gorenstein-homological-dimensions-1211.5268</loc><lastmod>2012-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-certain-modules-of-finite-gorenstein-homological-dimensions-1211.5268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-certain-modules-of-finite-gorenstein-homological-dimensions-1211.5268"/></url>
<url><loc>https://scifaro.com/en/abs/broken-circuit-complexes-and-hyperplane-arrangements-1211.5318</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/broken-circuit-complexes-and-hyperplane-arrangements-1211.5318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/broken-circuit-complexes-and-hyperplane-arrangements-1211.5318"/></url>
<url><loc>https://scifaro.com/en/abs/the-rm-n-2-p-property-of-binomial-extensions-of-simplicial-complexes-1211.5364</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rm-n-2-p-property-of-binomial-extensions-of-simplicial-complexes-1211.5364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rm-n-2-p-property-of-binomial-extensions-of-simplicial-complexes-1211.5364"/></url>
<url><loc>https://scifaro.com/en/abs/sums-of-toric-ideals-1211.5386</loc><lastmod>2012-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sums-of-toric-ideals-1211.5386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sums-of-toric-ideals-1211.5386"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-weakly-laskerian-local-cohomology-modules-1211.5748</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-weakly-laskerian-local-cohomology-modules-1211.5748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-weakly-laskerian-local-cohomology-modules-1211.5748"/></url>
<url><loc>https://scifaro.com/en/abs/on-set-theoretically-and-cohomologically-complete-intersection-ideals-1211.5942</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-set-theoretically-and-cohomologically-complete-intersection-ideals-1211.5942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-set-theoretically-and-cohomologically-complete-intersection-ideals-1211.5942"/></url>
<url><loc>https://scifaro.com/en/abs/integrally-closed-rings-in-birational-extensions-of-two-dimensional-regular-local-rings-1211.6054</loc><lastmod>2017-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrally-closed-rings-in-birational-extensions-of-two-dimensional-regular-local-rings-1211.6054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrally-closed-rings-in-birational-extensions-of-two-dimensional-regular-local-rings-1211.6054"/></url>
<url><loc>https://scifaro.com/en/abs/finding-inverse-systems-from-coordinates-1211.6355</loc><lastmod>2013-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finding-inverse-systems-from-coordinates-1211.6355"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finding-inverse-systems-from-coordinates-1211.6355"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-of-modules-over-compressed-gorenstein-local-rings-1211.6514</loc><lastmod>2014-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-of-modules-over-compressed-gorenstein-local-rings-1211.6514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-of-modules-over-compressed-gorenstein-local-rings-1211.6514"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-and-geometric-aspects-of-bipartite-planar-graphs-1211.6555</loc><lastmod>2024-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-and-geometric-aspects-of-bipartite-planar-graphs-1211.6555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-and-geometric-aspects-of-bipartite-planar-graphs-1211.6555"/></url>
<url><loc>https://scifaro.com/en/abs/subresultants-sylvester-sums-and-the-rational-interpolation-problem-1211.6895</loc><lastmod>2014-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subresultants-sylvester-sums-and-the-rational-interpolation-problem-1211.6895"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subresultants-sylvester-sums-and-the-rational-interpolation-problem-1211.6895"/></url>
<url><loc>https://scifaro.com/en/abs/on-modular-invariants-of-a-vector-and-a-covector-1211.7131</loc><lastmod>2020-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modular-invariants-of-a-vector-and-a-covector-1211.7131"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modular-invariants-of-a-vector-and-a-covector-1211.7131"/></url>
<url><loc>https://scifaro.com/en/abs/macaulay-like-marked-bases-1211.7264</loc><lastmod>2017-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/macaulay-like-marked-bases-1211.7264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/macaulay-like-marked-bases-1211.7264"/></url>
<url><loc>https://scifaro.com/en/abs/on-polynomials-with-given-hilbert-function-and-applications-1211.7306</loc><lastmod>2018-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-polynomials-with-given-hilbert-function-and-applications-1211.7306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-polynomials-with-given-hilbert-function-and-applications-1211.7306"/></url>
<url><loc>https://scifaro.com/en/abs/reflexivity-and-connectedness-1212.0131</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexivity-and-connectedness-1212.0131"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexivity-and-connectedness-1212.0131"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-the-abhyankar-moh-suzuki-theorem-1212.0163</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-abhyankar-moh-suzuki-theorem-1212.0163"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-abhyankar-moh-suzuki-theorem-1212.0163"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-some-top-local-cohomology-modules-1212.0245</loc><lastmod>2018-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-some-top-local-cohomology-modules-1212.0245"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-some-top-local-cohomology-modules-1212.0245"/></url>
<url><loc>https://scifaro.com/en/abs/eventually-linear-partially-complete-resolutions-over-a-local-ring-with-m-4-0-1212.0282</loc><lastmod>2012-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eventually-linear-partially-complete-resolutions-over-a-local-ring-with-m-4-0-1212.0282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eventually-linear-partially-complete-resolutions-over-a-local-ring-with-m-4-0-1212.0282"/></url>
<url><loc>https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-matrices-1212.0515</loc><lastmod>2013-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-matrices-1212.0515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-matrices-1212.0515"/></url>
<url><loc>https://scifaro.com/en/abs/a-gorenstein-numerical-semi-group-ring-having-a-transcendental-series-of-betti-numbers-1212.0720</loc><lastmod>2018-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gorenstein-numerical-semi-group-ring-having-a-transcendental-series-of-betti-numbers-1212.0720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gorenstein-numerical-semi-group-ring-having-a-transcendental-series-of-betti-numbers-1212.0720"/></url>
<url><loc>https://scifaro.com/en/abs/dualizing-complexes-and-homomorphisms-vanishing-in-koszul-homology-1212.1020</loc><lastmod>2012-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualizing-complexes-and-homomorphisms-vanishing-in-koszul-homology-1212.1020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualizing-complexes-and-homomorphisms-vanishing-in-koszul-homology-1212.1020"/></url>
<url><loc>https://scifaro.com/en/abs/the-j-multiplicity-of-monomial-ideals-1212.1419</loc><lastmod>2020-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-j-multiplicity-of-monomial-ideals-1212.1419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-j-multiplicity-of-monomial-ideals-1212.1419"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-resolutions-of-powers-of-monomial-ideals-1212.2146</loc><lastmod>2013-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-of-powers-of-monomial-ideals-1212.2146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-of-powers-of-monomial-ideals-1212.2146"/></url>
<url><loc>https://scifaro.com/en/abs/binary-modules-and-their-endomorphisms-1212.2171</loc><lastmod>2012-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binary-modules-and-their-endomorphisms-1212.2171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binary-modules-and-their-endomorphisms-1212.2171"/></url>
<url><loc>https://scifaro.com/en/abs/betti-tables-of-p-borel-fixed-ideals-1212.2201</loc><lastmod>2013-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-tables-of-p-borel-fixed-ideals-1212.2201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-tables-of-p-borel-fixed-ideals-1212.2201"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-eisenbud-green-harris-conjecture-1212.2653</loc><lastmod>2012-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-eisenbud-green-harris-conjecture-1212.2653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-eisenbud-green-harris-conjecture-1212.2653"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-theory-1212.2912</loc><lastmod>2012-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-theory-1212.2912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-theory-1212.2912"/></url>
<url><loc>https://scifaro.com/en/abs/h-vectors-of-matroid-complexes-1212.3226</loc><lastmod>2012-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/h-vectors-of-matroid-complexes-1212.3226"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/h-vectors-of-matroid-complexes-1212.3226"/></url>
<url><loc>https://scifaro.com/en/abs/what-is-special-about-the-divisors-of-12-1212.3347</loc><lastmod>2012-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/what-is-special-about-the-divisors-of-12-1212.3347"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/what-is-special-about-the-divisors-of-12-1212.3347"/></url>
<url><loc>https://scifaro.com/en/abs/generic-and-special-constructions-of-pure-o-sequences-1212.3426</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-and-special-constructions-of-pure-o-sequences-1212.3426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-and-special-constructions-of-pure-o-sequences-1212.3426"/></url>
<url><loc>https://scifaro.com/en/abs/zipping-tate-resolutions-and-exterior-coalgebras-1212.3675</loc><lastmod>2015-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zipping-tate-resolutions-and-exterior-coalgebras-1212.3675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zipping-tate-resolutions-and-exterior-coalgebras-1212.3675"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-by-kalai-1212.3726</loc><lastmod>2012-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-by-kalai-1212.3726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-by-kalai-1212.3726"/></url>
<url><loc>https://scifaro.com/en/abs/powers-are-golod-1212.4120</loc><lastmod>2012-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-are-golod-1212.4120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-are-golod-1212.4120"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-betti-numbers-of-successive-stellar-subdivisions-of-a-simplex-1212.4358</loc><lastmod>2016-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-betti-numbers-of-successive-stellar-subdivisions-of-a-simplex-1212.4358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-betti-numbers-of-successive-stellar-subdivisions-of-a-simplex-1212.4358"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-polynomial-mappings-between-commutative-groups-1212.5522</loc><lastmod>2021-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-polynomial-mappings-between-commutative-groups-1212.5522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-polynomial-mappings-between-commutative-groups-1212.5522"/></url>
<url><loc>https://scifaro.com/en/abs/integrating-hasse-schmidt-derivations-1212.5788</loc><lastmod>2019-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrating-hasse-schmidt-derivations-1212.5788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrating-hasse-schmidt-derivations-1212.5788"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-ag-codes-as-evaluation-codes-1212.5802</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-ag-codes-as-evaluation-codes-1212.5802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-ag-codes-as-evaluation-codes-1212.5802"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-toric-ideals-of-oriented-graphs-and-chorded-theta-subgraphs-1212.6429</loc><lastmod>2013-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-toric-ideals-of-oriented-graphs-and-chorded-theta-subgraphs-1212.6429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-toric-ideals-of-oriented-graphs-and-chorded-theta-subgraphs-1212.6429"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-rigidity-and-triangulability-of-a-derivation-1212.6501</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-rigidity-and-triangulability-of-a-derivation-1212.6501"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-rigidity-and-triangulability-of-a-derivation-1212.6501"/></url>
<url><loc>https://scifaro.com/en/abs/ordinary-and-symbolic-powers-are-golod-1212.6579</loc><lastmod>2013-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinary-and-symbolic-powers-are-golod-1212.6579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinary-and-symbolic-powers-are-golod-1212.6579"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-of-projective-modules-over-non-noetherian-rings-1212.6860</loc><lastmod>2013-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-of-projective-modules-over-non-noetherian-rings-1212.6860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-of-projective-modules-over-non-noetherian-rings-1212.6860"/></url>
<url><loc>https://scifaro.com/en/abs/unipotent-differential-algebraic-groups-as-parameterized-differential-galois-groups-1301.0092</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unipotent-differential-algebraic-groups-as-parameterized-differential-galois-groups-1301.0092"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unipotent-differential-algebraic-groups-as-parameterized-differential-galois-groups-1301.0092"/></url>
<url><loc>https://scifaro.com/en/abs/on-approximately-cohen-macaulay-binomial-edge-ideal-1301.0784</loc><lastmod>2013-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-approximately-cohen-macaulay-binomial-edge-ideal-1301.0784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-approximately-cohen-macaulay-binomial-edge-ideal-1301.0784"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-the-binomial-edge-ideal-of-complete-bipartite-graph-1301.0789</loc><lastmod>2013-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-the-binomial-edge-ideal-of-complete-bipartite-graph-1301.0789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-the-binomial-edge-ideal-of-complete-bipartite-graph-1301.0789"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-the-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1301.1015</loc><lastmod>2014-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-the-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1301.1015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-the-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1301.1015"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-standard-bases-1301.1154</loc><lastmod>2013-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-standard-bases-1301.1154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-standard-bases-1301.1154"/></url>
<url><loc>https://scifaro.com/en/abs/injective-modules-over-some-rings-of-differential-operators-1301.1176</loc><lastmod>2013-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/injective-modules-over-some-rings-of-differential-operators-1301.1176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/injective-modules-over-some-rings-of-differential-operators-1301.1176"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-artinian-modules-compatible-with-a-frobenius-map-1301.1468</loc><lastmod>2013-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-artinian-modules-compatible-with-a-frobenius-map-1301.1468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-artinian-modules-compatible-with-a-frobenius-map-1301.1468"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-which-are-generically-complete-intersections-1301.1602</loc><lastmod>2016-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-which-are-generically-complete-intersections-1301.1602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-which-are-generically-complete-intersections-1301.1602"/></url>
<url><loc>https://scifaro.com/en/abs/dual-f-signature-1301.2381</loc><lastmod>2013-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-f-signature-1301.2381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-f-signature-1301.2381"/></url>
<url><loc>https://scifaro.com/en/abs/bornes-effectives-des-fonctions-d-approximation-des-solutions-formelles-d-equations-binomiales-1301.2418</loc><lastmod>2013-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bornes-effectives-des-fonctions-d-approximation-des-solutions-formelles-d-equations-binomiales-1301.2418"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bornes-effectives-des-fonctions-d-approximation-des-solutions-formelles-d-equations-binomiales-1301.2418"/></url>
<url><loc>https://scifaro.com/en/abs/lojasiewicz-inequality-over-the-ring-of-power-series-in-two-variables-1301.2419</loc><lastmod>2013-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lojasiewicz-inequality-over-the-ring-of-power-series-in-two-variables-1301.2419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lojasiewicz-inequality-over-the-ring-of-power-series-in-two-variables-1301.2419"/></url>
<url><loc>https://scifaro.com/en/abs/the-telescope-conjecture-for-semihereditary-commutative-rings-1301.2553</loc><lastmod>2013-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-telescope-conjecture-for-semihereditary-commutative-rings-1301.2553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-telescope-conjecture-for-semihereditary-commutative-rings-1301.2553"/></url>
<url><loc>https://scifaro.com/en/abs/some-examples-of-two-dimensional-regular-rings-1301.2615</loc><lastmod>2014-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-examples-of-two-dimensional-regular-rings-1301.2615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-examples-of-two-dimensional-regular-rings-1301.2615"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-the-projective-dimension-of-a-square-free-monomial-ideal-via-domination-in-clutters-1301.2665</loc><lastmod>2013-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-the-projective-dimension-of-a-square-free-monomial-ideal-via-domination-in-clutters-1301.2665"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-the-projective-dimension-of-a-square-free-monomial-ideal-via-domination-in-clutters-1301.2665"/></url>
<url><loc>https://scifaro.com/en/abs/coherence-in-amalgamated-algebra-along-an-ideal-1301.2716</loc><lastmod>2013-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coherence-in-amalgamated-algebra-along-an-ideal-1301.2716"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coherence-in-amalgamated-algebra-along-an-ideal-1301.2716"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-the-intersection-of-two-finitely-generated-subalgebras-of-a-polynomial-ring-also-finitely-generated-1301.2730</loc><lastmod>2017-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-the-intersection-of-two-finitely-generated-subalgebras-of-a-polynomial-ring-also-finitely-generated-1301.2730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-the-intersection-of-two-finitely-generated-subalgebras-of-a-polynomial-ring-also-finitely-generated-1301.2730"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-determine-the-sign-of-a-valuation-on-c-x-y-1301.3172</loc><lastmod>2013-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-determine-the-sign-of-a-valuation-on-c-x-y-1301.3172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-determine-the-sign-of-a-valuation-on-c-x-y-1301.3172"/></url>
<url><loc>https://scifaro.com/en/abs/divisors-class-groups-of-singular-surfaces-1301.3222</loc><lastmod>2013-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisors-class-groups-of-singular-surfaces-1301.3222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisors-class-groups-of-singular-surfaces-1301.3222"/></url>
<url><loc>https://scifaro.com/en/abs/non-simplicial-decompositions-of-betti-diagrams-of-complete-intersections-1301.3441</loc><lastmod>2017-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-simplicial-decompositions-of-betti-diagrams-of-complete-intersections-1301.3441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-simplicial-decompositions-of-betti-diagrams-of-complete-intersections-1301.3441"/></url>
<url><loc>https://scifaro.com/en/abs/super-stretched-and-graded-countable-cohen-macaulay-type-1301.3593</loc><lastmod>2013-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/super-stretched-and-graded-countable-cohen-macaulay-type-1301.3593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/super-stretched-and-graded-countable-cohen-macaulay-type-1301.3593"/></url>
<url><loc>https://scifaro.com/en/abs/algebra-retracts-and-stanley-reisner-rings-1301.3967</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebra-retracts-and-stanley-reisner-rings-1301.3967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebra-retracts-and-stanley-reisner-rings-1301.3967"/></url>
<url><loc>https://scifaro.com/en/abs/a-resultant-for-hensel-s-lemma-1301.4073</loc><lastmod>2014-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-resultant-for-hensel-s-lemma-1301.4073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-resultant-for-hensel-s-lemma-1301.4073"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-class-g-c-and-c-projective-modules-modulo-exact-zero-divisors-1301.4078</loc><lastmod>2014-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-class-g-c-and-c-projective-modules-modulo-exact-zero-divisors-1301.4078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-class-g-c-and-c-projective-modules-modulo-exact-zero-divisors-1301.4078"/></url>
<url><loc>https://scifaro.com/en/abs/multiple-structures-with-arbitrarily-large-projective-dimension-on-linear-subspaces-1301.4147</loc><lastmod>2013-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiple-structures-with-arbitrarily-large-projective-dimension-on-linear-subspaces-1301.4147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiple-structures-with-arbitrarily-large-projective-dimension-on-linear-subspaces-1301.4147"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-algebraic-properties-of-certain-lattice-ideals-1301.4249</loc><lastmod>2015-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-algebraic-properties-of-certain-lattice-ideals-1301.4249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-algebraic-properties-of-certain-lattice-ideals-1301.4249"/></url>
<url><loc>https://scifaro.com/en/abs/on-irreducibility-of-certain-schur-polynomials-over-fields-of-finite-characteristic-1301.4279</loc><lastmod>2016-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-irreducibility-of-certain-schur-polynomials-over-fields-of-finite-characteristic-1301.4279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-irreducibility-of-certain-schur-polynomials-over-fields-of-finite-characteristic-1301.4279"/></url>
<url><loc>https://scifaro.com/en/abs/dualizing-complexes-of-seminormal-affine-semigroup-rings-and-toric-face-rings-1301.4903</loc><lastmod>2014-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualizing-complexes-of-seminormal-affine-semigroup-rings-and-toric-face-rings-1301.4903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualizing-complexes-of-seminormal-affine-semigroup-rings-and-toric-face-rings-1301.4903"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-cover-ideals-and-the-persistence-property-1301.5020</loc><lastmod>2013-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-cover-ideals-and-the-persistence-property-1301.5020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-cover-ideals-and-the-persistence-property-1301.5020"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-some-special-monomial-ideals-1301.5171</loc><lastmod>2013-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-some-special-monomial-ideals-1301.5171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-some-special-monomial-ideals-1301.5171"/></url>
<url><loc>https://scifaro.com/en/abs/two-questions-on-polynomial-decomposition-1301.5211</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-questions-on-polynomial-decomposition-1301.5211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-questions-on-polynomial-decomposition-1301.5211"/></url>
<url><loc>https://scifaro.com/en/abs/ding-projective-dimension-of-complexes-1301.5247</loc><lastmod>2013-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ding-projective-dimension-of-complexes-1301.5247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ding-projective-dimension-of-complexes-1301.5247"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-functions-over-rings-regular-in-codimension-one-1301.5278</loc><lastmod>2013-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-functions-over-rings-regular-in-codimension-one-1301.5278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-functions-over-rings-regular-in-codimension-one-1301.5278"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-precovers-covers-and-envelopes-1301.5694</loc><lastmod>2013-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-precovers-covers-and-envelopes-1301.5694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-precovers-covers-and-envelopes-1301.5694"/></url>
<url><loc>https://scifaro.com/en/abs/the-qth-power-algorithm-in-characteristic-0-1301.6104</loc><lastmod>2013-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-qth-power-algorithm-in-characteristic-0-1301.6104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-qth-power-algorithm-in-characteristic-0-1301.6104"/></url>
<url><loc>https://scifaro.com/en/abs/constants-of-cyclotomic-derivations-1301.6251</loc><lastmod>2013-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constants-of-cyclotomic-derivations-1301.6251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constants-of-cyclotomic-derivations-1301.6251"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-a-rational-plane-parameterization-with-mu-2-1301.6286</loc><lastmod>2013-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-a-rational-plane-parameterization-with-mu-2-1301.6286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-generators-of-the-defining-ideal-of-the-rees-algebra-associated-to-a-rational-plane-parameterization-with-mu-2-1301.6286"/></url>
<url><loc>https://scifaro.com/en/abs/ordinal-length-and-the-canonical-topology-1301.6457</loc><lastmod>2013-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinal-length-and-the-canonical-topology-1301.6457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinal-length-and-the-canonical-topology-1301.6457"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-sequentially-cohen-macaulay-bigraded-modules-1301.6846</loc><lastmod>2015-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-sequentially-cohen-macaulay-bigraded-modules-1301.6846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-sequentially-cohen-macaulay-bigraded-modules-1301.6846"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-finite-modules-and-asymptotic-prime-divisors-1301.6886</loc><lastmod>2013-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-finite-modules-and-asymptotic-prime-divisors-1301.6886"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-finite-modules-and-asymptotic-prime-divisors-1301.6886"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-with-respect-to-a-multiplicatively-closed-subset-of-an-f-pure-local-ring-1301.6890</loc><lastmod>2013-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-with-respect-to-a-multiplicatively-closed-subset-of-an-f-pure-local-ring-1301.6890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-with-respect-to-a-multiplicatively-closed-subset-of-an-f-pure-local-ring-1301.6890"/></url>
<url><loc>https://scifaro.com/en/abs/action-of-special-linear-groups-to-the-tensor-of-indeterminates-classical-invariants-of-binary-forms-and-hyperdeterminant-1301.6979</loc><lastmod>2013-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/action-of-special-linear-groups-to-the-tensor-of-indeterminates-classical-invariants-of-binary-forms-and-hyperdeterminant-1301.6979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/action-of-special-linear-groups-to-the-tensor-of-indeterminates-classical-invariants-of-binary-forms-and-hyperdeterminant-1301.6979"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-of-betti-tables-over-a-rational-normal-curve-1301.7005</loc><lastmod>2015-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-of-betti-tables-over-a-rational-normal-curve-1301.7005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-of-betti-tables-over-a-rational-normal-curve-1301.7005"/></url>
<url><loc>https://scifaro.com/en/abs/the-bi-graded-structure-of-symmetric-algebras-with-applications-to-rees-rings-1301.7106</loc><lastmod>2016-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-bi-graded-structure-of-symmetric-algebras-with-applications-to-rees-rings-1301.7106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-bi-graded-structure-of-symmetric-algebras-with-applications-to-rees-rings-1301.7106"/></url>
<url><loc>https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-squarefree-principal-borel-ideal-1301.7152</loc><lastmod>2013-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-squarefree-principal-borel-ideal-1301.7152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stable-set-of-associated-prime-ideals-of-a-squarefree-principal-borel-ideal-1301.7152"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-lefschetz-property-in-codimension-two-1301.7614</loc><lastmod>2013-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-in-codimension-two-1301.7614"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-in-codimension-two-1301.7614"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-free-commutative-integro-differential-algebras-by-the-method-of-gr-o-bner-shirshov-bases-1302.0041</loc><lastmod>2014-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-free-commutative-integro-differential-algebras-by-the-method-of-gr-o-bner-shirshov-bases-1302.0041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-free-commutative-integro-differential-algebras-by-the-method-of-gr-o-bner-shirshov-bases-1302.0041"/></url>
<url><loc>https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-1302.0116</loc><lastmod>2013-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-1302.0116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-1302.0116"/></url>
<url><loc>https://scifaro.com/en/abs/many-toric-ideals-generated-by-quadratic-binomials-possess-no-quadratic-gr-obner-bases-1302.0207</loc><lastmod>2014-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/many-toric-ideals-generated-by-quadratic-binomials-possess-no-quadratic-gr-obner-bases-1302.0207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/many-toric-ideals-generated-by-quadratic-binomials-possess-no-quadratic-gr-obner-bases-1302.0207"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-intersection-algebra-of-principal-ideals-1302.0312</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-intersection-algebra-of-principal-ideals-1302.0312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-intersection-algebra-of-principal-ideals-1302.0312"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-bipartite-graphs-1302.0368</loc><lastmod>2013-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-bipartite-graphs-1302.0368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-bipartite-graphs-1302.0368"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-for-arbitrary-linear-actions-of-the-additive-group-1302.0639</loc><lastmod>2013-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-for-arbitrary-linear-actions-of-the-additive-group-1302.0639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-for-arbitrary-linear-actions-of-the-additive-group-1302.0639"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-ideals-over-complete-multipartite-graphs-1302.0734</loc><lastmod>2013-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-ideals-over-complete-multipartite-graphs-1302.0734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-ideals-over-complete-multipartite-graphs-1302.0734"/></url>
<url><loc>https://scifaro.com/en/abs/the-unicity-of-real-picard-vessiot-fields-1302.1012</loc><lastmod>2013-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-unicity-of-real-picard-vessiot-fields-1302.1012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-unicity-of-real-picard-vessiot-fields-1302.1012"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-upper-semi-continuity-of-hsl-numbers-1302.1124</loc><lastmod>2016-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-upper-semi-continuity-of-hsl-numbers-1302.1124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-upper-semi-continuity-of-hsl-numbers-1302.1124"/></url>
<url><loc>https://scifaro.com/en/abs/on-top-local-cohomology-modules-matlis-duality-and-tensor-products-1302.1274</loc><lastmod>2018-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-top-local-cohomology-modules-matlis-duality-and-tensor-products-1302.1274"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-top-local-cohomology-modules-matlis-duality-and-tensor-products-1302.1274"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-intersection-of-annihilator-of-the-valabrega-valla-module-1302.1307</loc><lastmod>2013-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-intersection-of-annihilator-of-the-valabrega-valla-module-1302.1307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-intersection-of-annihilator-of-the-valabrega-valla-module-1302.1307"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-products-of-valued-fields-1302.1381</loc><lastmod>2015-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-products-of-valued-fields-1302.1381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-products-of-valued-fields-1302.1381"/></url>
<url><loc>https://scifaro.com/en/abs/addendum-to-uniqueness-of-certain-polynomials-constant-on-a-line-1302.1441</loc><lastmod>2013-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/addendum-to-uniqueness-of-certain-polynomials-constant-on-a-line-1302.1441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/addendum-to-uniqueness-of-certain-polynomials-constant-on-a-line-1302.1441"/></url>
<url><loc>https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-and-new-invariants-of-difference-differential-field-extensions-1302.1505</loc><lastmod>2013-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-and-new-invariants-of-difference-differential-field-extensions-1302.1505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multivariate-difference-differential-dimension-polynomials-and-new-invariants-of-difference-differential-field-extensions-1302.1505"/></url>
<url><loc>https://scifaro.com/en/abs/degenerations-of-graded-cohen-macaulay-modules-1302.1643</loc><lastmod>2013-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degenerations-of-graded-cohen-macaulay-modules-1302.1643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degenerations-of-graded-cohen-macaulay-modules-1302.1643"/></url>
<url><loc>https://scifaro.com/en/abs/graded-integral-closures-1302.1659</loc><lastmod>2014-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-integral-closures-1302.1659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-integral-closures-1302.1659"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-in-tensor-products-and-tensor-powers-of-modules-1302.1852</loc><lastmod>2014-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-in-tensor-products-and-tensor-powers-of-modules-1302.1852"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-in-tensor-products-and-tensor-powers-of-modules-1302.1852"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-tor-and-why-we-care-about-it-1302.2170</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-tor-and-why-we-care-about-it-1302.2170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-tor-and-why-we-care-about-it-1302.2170"/></url>
<url><loc>https://scifaro.com/en/abs/the-existence-of-relative-pure-injective-envelopes-1302.2230</loc><lastmod>2013-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-existence-of-relative-pure-injective-envelopes-1302.2230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-existence-of-relative-pure-injective-envelopes-1302.2230"/></url>
<url><loc>https://scifaro.com/en/abs/convex-bodies-and-multiplicities-of-ideals-1302.2676</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/convex-bodies-and-multiplicities-of-ideals-1302.2676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/convex-bodies-and-multiplicities-of-ideals-1302.2676"/></url>
<url><loc>https://scifaro.com/en/abs/local-and-global-tameness-in-krull-monoids-1302.3078</loc><lastmod>2013-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-and-global-tameness-in-krull-monoids-1302.3078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-and-global-tameness-in-krull-monoids-1302.3078"/></url>
<url><loc>https://scifaro.com/en/abs/f-jumping-and-f-jacobian-ideals-for-hypersurfaces-1302.3327</loc><lastmod>2013-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-jumping-and-f-jacobian-ideals-for-hypersurfaces-1302.3327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-jumping-and-f-jacobian-ideals-for-hypersurfaces-1302.3327"/></url>
<url><loc>https://scifaro.com/en/abs/ascent-properties-for-derived-functors-1302.4151</loc><lastmod>2013-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-properties-for-derived-functors-1302.4151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-properties-for-derived-functors-1302.4151"/></url>
<url><loc>https://scifaro.com/en/abs/universal-groebner-bases-for-maximal-minors-1302.4461</loc><lastmod>2013-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universal-groebner-bases-for-maximal-minors-1302.4461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universal-groebner-bases-for-maximal-minors-1302.4461"/></url>
<url><loc>https://scifaro.com/en/abs/the-betti-numbers-of-stanley-reisner-ideals-of-simplicial-trees-1302.4635</loc><lastmod>2013-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-betti-numbers-of-stanley-reisner-ideals-of-simplicial-trees-1302.4635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-betti-numbers-of-stanley-reisner-ideals-of-simplicial-trees-1302.4635"/></url>
<url><loc>https://scifaro.com/en/abs/a-homological-approach-to-factorization-1302.4759</loc><lastmod>2016-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-homological-approach-to-factorization-1302.4759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-homological-approach-to-factorization-1302.4759"/></url>
<url><loc>https://scifaro.com/en/abs/elasticity-in-polynomial-type-extensions-1302.4766</loc><lastmod>2013-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elasticity-in-polynomial-type-extensions-1302.4766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elasticity-in-polynomial-type-extensions-1302.4766"/></url>
<url><loc>https://scifaro.com/en/abs/on-codimension-one-mathbb-a-1-fibration-with-retraction-1302.5223</loc><lastmod>2013-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-codimension-one-mathbb-a-1-fibration-with-retraction-1302.5223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-codimension-one-mathbb-a-1-fibration-with-retraction-1302.5223"/></url>
<url><loc>https://scifaro.com/en/abs/polyhedral-structures-on-tropical-varieties-1302.5372</loc><lastmod>2013-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polyhedral-structures-on-tropical-varieties-1302.5372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polyhedral-structures-on-tropical-varieties-1302.5372"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1302.5742</loc><lastmod>2014-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1302.5742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1302.5742"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-the-conductor-1302.5752</loc><lastmod>2013-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-the-conductor-1302.5752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-the-conductor-1302.5752"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-and-squarefree-monomial-ideals-1302.5837</loc><lastmod>2013-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-and-squarefree-monomial-ideals-1302.5837"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-and-squarefree-monomial-ideals-1302.5837"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-non-affine-normal-semigroups-1302.5919</loc><lastmod>2013-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-non-affine-normal-semigroups-1302.5919"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-non-affine-normal-semigroups-1302.5919"/></url>
<url><loc>https://scifaro.com/en/abs/on-vertex-decomposable-simplicial-complexes-and-their-alexander-duals-1302.5947</loc><lastmod>2016-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-vertex-decomposable-simplicial-complexes-and-their-alexander-duals-1302.5947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-vertex-decomposable-simplicial-complexes-and-their-alexander-duals-1302.5947"/></url>
<url><loc>https://scifaro.com/en/abs/module-border-bases-1302.6383</loc><lastmod>2013-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/module-border-bases-1302.6383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/module-border-bases-1302.6383"/></url>
<url><loc>https://scifaro.com/en/abs/on-flat-and-gorenstein-flat-dimensions-of-local-cohomology-modules-1302.6395</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-flat-and-gorenstein-flat-dimensions-of-local-cohomology-modules-1302.6395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-flat-and-gorenstein-flat-dimensions-of-local-cohomology-modules-1302.6395"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-in-kernels-of-induced-maps-on-divisor-class-groups-1302.6552</loc><lastmod>2013-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-in-kernels-of-induced-maps-on-divisor-class-groups-1302.6552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-in-kernels-of-induced-maps-on-divisor-class-groups-1302.6552"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-in-simplicial-toric-varieties-1302.6706</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-in-simplicial-toric-varieties-1302.6706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-in-simplicial-toric-varieties-1302.6706"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-characterizations-of-the-cohen-macaulayness-of-the-second-power-of-edge-ideals-1302.7076</loc><lastmod>2013-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-characterizations-of-the-cohen-macaulayness-of-the-second-power-of-edge-ideals-1302.7076"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-characterizations-of-the-cohen-macaulayness-of-the-second-power-of-edge-ideals-1302.7076"/></url>
<url><loc>https://scifaro.com/en/abs/difference-galois-theory-of-linear-differential-equations-1302.7198</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-galois-theory-of-linear-differential-equations-1302.7198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-galois-theory-of-linear-differential-equations-1302.7198"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-koszul-algebra-for-trivariate-monomial-ideals-1303.0083</loc><lastmod>2013-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-koszul-algebra-for-trivariate-monomial-ideals-1303.0083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-koszul-algebra-for-trivariate-monomial-ideals-1303.0083"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-over-fields-with-valuations-1303.0729</loc><lastmod>2017-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-over-fields-with-valuations-1303.0729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-over-fields-with-valuations-1303.0729"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-minimal-free-resolutions-of-trivariate-generic-monomial-ideals-1303.0735</loc><lastmod>2013-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-minimal-free-resolutions-of-trivariate-generic-monomial-ideals-1303.0735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-minimal-free-resolutions-of-trivariate-generic-monomial-ideals-1303.0735"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-perodicity-of-the-first-betti-number-of-the-semigroup-rings-under-translations-1303.1116</loc><lastmod>2013-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-perodicity-of-the-first-betti-number-of-the-semigroup-rings-under-translations-1303.1116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-perodicity-of-the-first-betti-number-of-the-semigroup-rings-under-translations-1303.1116"/></url>
<url><loc>https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-symmetric-matrices-1303.1860</loc><lastmod>2021-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-symmetric-matrices-1303.1860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/apolarity-for-determinants-and-permanents-of-generic-symmetric-matrices-1303.1860"/></url>
<url><loc>https://scifaro.com/en/abs/about-the-algebraic-closure-of-the-field-of-power-series-in-several-variables-in-characteristic-zero-1303.1921</loc><lastmod>2017-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-the-algebraic-closure-of-the-field-of-power-series-in-several-variables-in-characteristic-zero-1303.1921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-the-algebraic-closure-of-the-field-of-power-series-in-several-variables-in-characteristic-zero-1303.1921"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relative-cohen-macaulay-modules-1303.2208</loc><lastmod>2014-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relative-cohen-macaulay-modules-1303.2208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relative-cohen-macaulay-modules-1303.2208"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-generating-sets-of-lattice-ideals-1303.2303</loc><lastmod>2017-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-generating-sets-of-lattice-ideals-1303.2303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-generating-sets-of-lattice-ideals-1303.2303"/></url>
<url><loc>https://scifaro.com/en/abs/periodic-modules-over-gorenstein-local-rings-1303.2937</loc><lastmod>2013-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/periodic-modules-over-gorenstein-local-rings-1303.2937"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/periodic-modules-over-gorenstein-local-rings-1303.2937"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-the-number-of-generic-initial-ideals-1303.3461</loc><lastmod>2013-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-the-number-of-generic-initial-ideals-1303.3461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-the-number-of-generic-initial-ideals-1303.3461"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-kara-s-type-theorems-for-the-multidegrees-of-polynomial-automorphisms-1303.3703</loc><lastmod>2013-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-kara-s-type-theorems-for-the-multidegrees-of-polynomial-automorphisms-1303.3703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-kara-s-type-theorems-for-the-multidegrees-of-polynomial-automorphisms-1303.3703"/></url>
<url><loc>https://scifaro.com/en/abs/on-monomial-curves-obtained-by-gluing-1303.3789</loc><lastmod>2013-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monomial-curves-obtained-by-gluing-1303.3789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monomial-curves-obtained-by-gluing-1303.3789"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimension-and-monomial-orders-1303.3937</loc><lastmod>2013-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimension-and-monomial-orders-1303.3937"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimension-and-monomial-orders-1303.3937"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-classes-of-path-ideals-1303.4234</loc><lastmod>2013-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-classes-of-path-ideals-1303.4234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-classes-of-path-ideals-1303.4234"/></url>
<url><loc>https://scifaro.com/en/abs/using-edge-induced-and-vertex-induced-subhypergraph-polynomials-1303.4520</loc><lastmod>2013-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/using-edge-induced-and-vertex-induced-subhypergraph-polynomials-1303.4520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/using-edge-induced-and-vertex-induced-subhypergraph-polynomials-1303.4520"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-linearity-defect-of-the-residue-field-1303.4680</loc><lastmod>2013-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-linearity-defect-of-the-residue-field-1303.4680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-linearity-defect-of-the-residue-field-1303.4680"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-over-homomorphisms-and-a-frobenius-characterization-of-koszul-algebras-1303.5160</loc><lastmod>2015-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-over-homomorphisms-and-a-frobenius-characterization-of-koszul-algebras-1303.5160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-over-homomorphisms-and-a-frobenius-characterization-of-koszul-algebras-1303.5160"/></url>
<url><loc>https://scifaro.com/en/abs/zero-generic-initial-ideals-1303.5373</loc><lastmod>2014-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-generic-initial-ideals-1303.5373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-generic-initial-ideals-1303.5373"/></url>
<url><loc>https://scifaro.com/en/abs/degree-and-algebraic-properties-of-lattice-and-matrix-ideals-1303.5382</loc><lastmod>2014-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-and-algebraic-properties-of-lattice-and-matrix-ideals-1303.5382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-and-algebraic-properties-of-lattice-and-matrix-ideals-1303.5382"/></url>
<url><loc>https://scifaro.com/en/abs/n-6-property-for-third-veronese-embeddings-1303.5532</loc><lastmod>2013-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-6-property-for-third-veronese-embeddings-1303.5532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-6-property-for-third-veronese-embeddings-1303.5532"/></url>
<url><loc>https://scifaro.com/en/abs/the-many-polarizations-of-powers-of-maximal-ideals-1303.5780</loc><lastmod>2013-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-many-polarizations-of-powers-of-maximal-ideals-1303.5780"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-many-polarizations-of-powers-of-maximal-ideals-1303.5780"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-functions-of-general-intersections-of-ideals-1303.6030</loc><lastmod>2013-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-functions-of-general-intersections-of-ideals-1303.6030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-functions-of-general-intersections-of-ideals-1303.6030"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-subadditivity-problem-for-maximal-shifts-in-free-resolutions-1303.6214</loc><lastmod>2013-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-subadditivity-problem-for-maximal-shifts-in-free-resolutions-1303.6214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-subadditivity-problem-for-maximal-shifts-in-free-resolutions-1303.6214"/></url>
<url><loc>https://scifaro.com/en/abs/deformations-of-polarizations-of-powers-of-the-maximal-ideal-1303.6470</loc><lastmod>2013-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-polarizations-of-powers-of-the-maximal-ideal-1303.6470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-polarizations-of-powers-of-the-maximal-ideal-1303.6470"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-squarefree-monomial-ideals-and-combinatorics-1303.6642</loc><lastmod>2013-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-squarefree-monomial-ideals-and-combinatorics-1303.6642"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-squarefree-monomial-ideals-and-combinatorics-1303.6642"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-ideals-generated-by-pfaffians-1303.6874</loc><lastmod>2013-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-ideals-generated-by-pfaffians-1303.6874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-ideals-generated-by-pfaffians-1303.6874"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-of-generalized-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1303.7293</loc><lastmod>2013-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-of-generalized-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1303.7293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-of-generalized-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1303.7293"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-ideal-transforms-1303.7298</loc><lastmod>2013-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-ideal-transforms-1303.7298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-ideal-transforms-1303.7298"/></url>
<url><loc>https://scifaro.com/en/abs/strong-krull-primes-and-flat-modules-1303.7458</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-krull-primes-and-flat-modules-1303.7458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-krull-primes-and-flat-modules-1303.7458"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-residual-intersections-1304.0044</loc><lastmod>2015-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-residual-intersections-1304.0044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-residual-intersections-1304.0044"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-graph-of-divisibility-of-an-integral-domain-1304.0063</loc><lastmod>2019-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-graph-of-divisibility-of-an-integral-domain-1304.0063"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-graph-of-divisibility-of-an-integral-domain-1304.0063"/></url>
<url><loc>https://scifaro.com/en/abs/the-algebra-and-model-theory-of-tame-valued-fields-1304.0194</loc><lastmod>2014-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-algebra-and-model-theory-of-tame-valued-fields-1304.0194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-algebra-and-model-theory-of-tame-valued-fields-1304.0194"/></url>
<url><loc>https://scifaro.com/en/abs/a-common-generalization-of-metric-ultrametric-and-topological-fixed-point-theorems-alternative-version-1304.0196</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-common-generalization-of-metric-ultrametric-and-topological-fixed-point-theorems-alternative-version-1304.0196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-common-generalization-of-metric-ultrametric-and-topological-fixed-point-theorems-alternative-version-1304.0196"/></url>
<url><loc>https://scifaro.com/en/abs/defects-of-algebraic-function-fields-completion-defects-and-defect-quotients-1304.0198</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/defects-of-algebraic-function-fields-completion-defects-and-defect-quotients-1304.0198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/defects-of-algebraic-function-fields-completion-defects-and-defect-quotients-1304.0198"/></url>
<url><loc>https://scifaro.com/en/abs/the-relative-approximation-degree-in-valued-function-fields-1304.0200</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-relative-approximation-degree-in-valued-function-fields-1304.0200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-relative-approximation-degree-in-valued-function-fields-1304.0200"/></url>
<url><loc>https://scifaro.com/en/abs/embedding-theorems-for-spaces-of-r-places-of-rational-function-fields-and-their-products-1304.0201</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embedding-theorems-for-spaces-of-r-places-of-rational-function-fields-and-their-products-1304.0201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embedding-theorems-for-spaces-of-r-places-of-rational-function-fields-and-their-products-1304.0201"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-defining-gorenstein-artin-algebras-with-hilbert-function-1-n-1-1-n-1-choose-2-n-1-choose-2-1-n-1-1-1304.0305</loc><lastmod>2013-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-defining-gorenstein-artin-algebras-with-hilbert-function-1-n-1-1-n-1-choose-2-n-1-choose-2-1-n-1-1-1304.0305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-defining-gorenstein-artin-algebras-with-hilbert-function-1-n-1-1-n-1-choose-2-n-1-choose-2-1-n-1-1-1304.0305"/></url>
<url><loc>https://scifaro.com/en/abs/initial-forms-of-stable-invariants-for-additive-group-actions-1304.0313</loc><lastmod>2013-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initial-forms-of-stable-invariants-for-additive-group-actions-1304.0313"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initial-forms-of-stable-invariants-for-additive-group-actions-1304.0313"/></url>
<url><loc>https://scifaro.com/en/abs/exact-pairs-of-homogeneous-zero-divisors-1304.0411</loc><lastmod>2013-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/exact-pairs-of-homogeneous-zero-divisors-1304.0411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/exact-pairs-of-homogeneous-zero-divisors-1304.0411"/></url>
<url><loc>https://scifaro.com/en/abs/robust-toric-ideals-1304.0603</loc><lastmod>2013-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/robust-toric-ideals-1304.0603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/robust-toric-ideals-1304.0603"/></url>
<url><loc>https://scifaro.com/en/abs/the-projective-dimension-of-codimension-two-algebra-presented-by-quadrics-1304.0745</loc><lastmod>2013-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-projective-dimension-of-codimension-two-algebra-presented-by-quadrics-1304.0745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-projective-dimension-of-codimension-two-algebra-presented-by-quadrics-1304.0745"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-independence-of-elements-in-immediate-extensions-of-valued-fields-1304.1381</loc><lastmod>2013-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-independence-of-elements-in-immediate-extensions-of-valued-fields-1304.1381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-independence-of-elements-in-immediate-extensions-of-valued-fields-1304.1381"/></url>
<url><loc>https://scifaro.com/en/abs/periodicity-of-betti-numbers-of-monomial-curves-1304.1659</loc><lastmod>2013-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/periodicity-of-betti-numbers-of-monomial-curves-1304.1659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/periodicity-of-betti-numbers-of-monomial-curves-1304.1659"/></url>
<url><loc>https://scifaro.com/en/abs/inclics-galaxies-star-configurations-and-waldschmidt-constants-1304.2217</loc><lastmod>2013-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inclics-galaxies-star-configurations-and-waldschmidt-constants-1304.2217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inclics-galaxies-star-configurations-and-waldschmidt-constants-1304.2217"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-and-koszulness-of-modules-over-local-rings-1304.2515</loc><lastmod>2013-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-and-koszulness-of-modules-over-local-rings-1304.2515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-and-koszulness-of-modules-over-local-rings-1304.2515"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-cohomological-dimension-1304.2517</loc><lastmod>2013-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-cohomological-dimension-1304.2517"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-cohomological-dimension-1304.2517"/></url>
<url><loc>https://scifaro.com/en/abs/sigma-galois-theory-of-linear-difference-equations-1304.2649</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sigma-galois-theory-of-linear-difference-equations-1304.2649"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sigma-galois-theory-of-linear-difference-equations-1304.2649"/></url>
<url><loc>https://scifaro.com/en/abs/subgroups-which-admit-extensions-of-homomorphisms-1304.3373</loc><lastmod>2013-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subgroups-which-admit-extensions-of-homomorphisms-1304.3373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subgroups-which-admit-extensions-of-homomorphisms-1304.3373"/></url>
<url><loc>https://scifaro.com/en/abs/on-cw-complexes-supporting-eliahou-kervaire-type-resolutions-of-borel-fixed-ideals-1304.3906</loc><lastmod>2013-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cw-complexes-supporting-eliahou-kervaire-type-resolutions-of-borel-fixed-ideals-1304.3906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cw-complexes-supporting-eliahou-kervaire-type-resolutions-of-borel-fixed-ideals-1304.3906"/></url>
<url><loc>https://scifaro.com/en/abs/markov-bases-and-generalized-lawrence-liftings-1304.4257</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/markov-bases-and-generalized-lawrence-liftings-1304.4257"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/markov-bases-and-generalized-lawrence-liftings-1304.4257"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-complete-intersection-numerical-semigroups-1304.4290</loc><lastmod>2014-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-complete-intersection-numerical-semigroups-1304.4290"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-complete-intersection-numerical-semigroups-1304.4290"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-modules-of-a-smooth-z-algebra-have-finitely-many-associated-primes-1304.4692</loc><lastmod>2015-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-modules-of-a-smooth-z-algebra-have-finitely-many-associated-primes-1304.4692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-modules-of-a-smooth-z-algebra-have-finitely-many-associated-primes-1304.4692"/></url>
<url><loc>https://scifaro.com/en/abs/computing-families-of-cohen-macaulay-and-gorenstein-rings-1304.5089</loc><lastmod>2013-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-families-of-cohen-macaulay-and-gorenstein-rings-1304.5089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-families-of-cohen-macaulay-and-gorenstein-rings-1304.5089"/></url>
<url><loc>https://scifaro.com/en/abs/sur-le-produit-tensoriel-d-alg-ebres-1304.5395</loc><lastmod>2013-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sur-le-produit-tensoriel-d-alg-ebres-1304.5395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sur-le-produit-tensoriel-d-alg-ebres-1304.5395"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-equality-of-ordinary-and-symbolic-powers-of-ideals-1304.5833</loc><lastmod>2013-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equality-of-ordinary-and-symbolic-powers-of-ideals-1304.5833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equality-of-ordinary-and-symbolic-powers-of-ideals-1304.5833"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-frobenius-operators-1304.6147</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-frobenius-operators-1304.6147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-frobenius-operators-1304.6147"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-problem-list-1304.6552</loc><lastmod>2013-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-problem-list-1304.6552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-problem-list-1304.6552"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-binomial-arithmetical-rank-of-lattice-ideals-1304.6607</loc><lastmod>2013-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-binomial-arithmetical-rank-of-lattice-ideals-1304.6607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-binomial-arithmetical-rank-of-lattice-ideals-1304.6607"/></url>
<url><loc>https://scifaro.com/en/abs/dynamic-newton-puiseux-theorem-1304.6770</loc><lastmod>2013-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dynamic-newton-puiseux-theorem-1304.6770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dynamic-newton-puiseux-theorem-1304.6770"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-first-hilbert-coefficients-of-mathfrak-m-primary-ideals-1304.6793</loc><lastmod>2013-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-first-hilbert-coefficients-of-mathfrak-m-primary-ideals-1304.6793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-first-hilbert-coefficients-of-mathfrak-m-primary-ideals-1304.6793"/></url>
<url><loc>https://scifaro.com/en/abs/a-space-efficient-flexible-pivot-selection-approach-to-evaluate-determinant-and-inverse-of-a-matrix-1304.6893</loc><lastmod>2013-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-space-efficient-flexible-pivot-selection-approach-to-evaluate-determinant-and-inverse-of-a-matrix-1304.6893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-space-efficient-flexible-pivot-selection-approach-to-evaluate-determinant-and-inverse-of-a-matrix-1304.6893"/></url>
<url><loc>https://scifaro.com/en/abs/state-bck-algebras-and-state-morphism-bck-algebras-1304.6963</loc><lastmod>2013-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/state-bck-algebras-and-state-morphism-bck-algebras-1304.6963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/state-bck-algebras-and-state-morphism-bck-algebras-1304.6963"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-superstandard-tableaux-1304.7039</loc><lastmod>2013-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-superstandard-tableaux-1304.7039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-superstandard-tableaux-1304.7039"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-multigraded-hilbert-depth-of-a-module-1304.7215</loc><lastmod>2014-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-multigraded-hilbert-depth-of-a-module-1304.7215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-multigraded-hilbert-depth-of-a-module-1304.7215"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-hilbert-kunz-functions-of-2-x-2-determinantal-rings-1304.7274</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-hilbert-kunz-functions-of-2-x-2-determinantal-rings-1304.7274"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-hilbert-kunz-functions-of-2-x-2-determinantal-rings-1304.7274"/></url>
<url><loc>https://scifaro.com/en/abs/more-properties-of-almost-cohen-macaulay-rings-1304.7332</loc><lastmod>2015-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/more-properties-of-almost-cohen-macaulay-rings-1304.7332"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/more-properties-of-almost-cohen-macaulay-rings-1304.7332"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-of-the-ideal-of-polynomials-whose-fixed-divisor-is-divisible-by-a-prime-power-1304.7450</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-of-the-ideal-of-polynomials-whose-fixed-divisor-is-divisible-by-a-prime-power-1304.7450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-of-the-ideal-of-polynomials-whose-fixed-divisor-is-divisible-by-a-prime-power-1304.7450"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-of-integer-valued-polynomials-with-square-free-denominator-1304.7526</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-integer-valued-polynomials-with-square-free-denominator-1304.7526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-integer-valued-polynomials-with-square-free-denominator-1304.7526"/></url>
<url><loc>https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-almost-linear-point-configurations-in-p2-1304.7541</loc><lastmod>2013-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-almost-linear-point-configurations-in-p2-1304.7541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-almost-linear-point-configurations-in-p2-1304.7541"/></url>
<url><loc>https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-points-on-an-irreducible-conic-1304.7542</loc><lastmod>2013-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-points-on-an-irreducible-conic-1304.7542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symbolic-generic-initial-system-of-points-on-an-irreducible-conic-1304.7542"/></url>
<url><loc>https://scifaro.com/en/abs/noetherian-quotients-of-the-algebra-of-partial-difference-polynomials-and-grobner-bases-of-symmetric-ideals-1304.7967</loc><lastmod>2014-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherian-quotients-of-the-algebra-of-partial-difference-polynomials-and-grobner-bases-of-symmetric-ideals-1304.7967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherian-quotients-of-the-algebra-of-partial-difference-polynomials-and-grobner-bases-of-symmetric-ideals-1304.7967"/></url>
<url><loc>https://scifaro.com/en/abs/semistar-operations-and-standard-closure-operations-1304.8067</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semistar-operations-and-standard-closure-operations-1304.8067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semistar-operations-and-standard-closure-operations-1304.8067"/></url>
<url><loc>https://scifaro.com/en/abs/weighted-multidegrees-of-polynomial-automorphisms-over-a-domain-1305.0093</loc><lastmod>2013-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weighted-multidegrees-of-polynomial-automorphisms-over-a-domain-1305.0093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weighted-multidegrees-of-polynomial-automorphisms-over-a-domain-1305.0093"/></url>
<url><loc>https://scifaro.com/en/abs/regular-sequences-and-zd-modules-1305.0164</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-sequences-and-zd-modules-1305.0164"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-sequences-and-zd-modules-1305.0164"/></url>
<url><loc>https://scifaro.com/en/abs/regular-sequences-and-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1305.0429</loc><lastmod>2013-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-sequences-and-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1305.0429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-sequences-and-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1305.0429"/></url>
<url><loc>https://scifaro.com/en/abs/difference-integrability-conditions-for-parameterized-linear-difference-and-differential-equations-1305.0452</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-integrability-conditions-for-parameterized-linear-difference-and-differential-equations-1305.0452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-integrability-conditions-for-parameterized-linear-difference-and-differential-equations-1305.0452"/></url>
<url><loc>https://scifaro.com/en/abs/hyperplane-sections-groebner-bases-and-hough-transforms-1305.0478</loc><lastmod>2014-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hyperplane-sections-groebner-bases-and-hough-transforms-1305.0478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hyperplane-sections-groebner-bases-and-hough-transforms-1305.0478"/></url>
<url><loc>https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-1305.0840</loc><lastmod>2013-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-1305.0840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-1305.0840"/></url>
<url><loc>https://scifaro.com/en/abs/addendum-to-frobenius-and-cartier-algebras-of-stanley-reisner-rings-j-algebra-358-2012-162-177-1305.0931</loc><lastmod>2013-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/addendum-to-frobenius-and-cartier-algebras-of-stanley-reisner-rings-j-algebra-358-2012-162-177-1305.0931"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/addendum-to-frobenius-and-cartier-algebras-of-stanley-reisner-rings-j-algebra-358-2012-162-177-1305.0931"/></url>
<url><loc>https://scifaro.com/en/abs/the-k-th-derivatives-of-the-immanant-and-the-chi-symmetric-power-of-an-operator-1305.1143</loc><lastmod>2013-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-k-th-derivatives-of-the-immanant-and-the-chi-symmetric-power-of-an-operator-1305.1143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-k-th-derivatives-of-the-immanant-and-the-chi-symmetric-power-of-an-operator-1305.1143"/></url>
<url><loc>https://scifaro.com/en/abs/prime-submodules-and-a-sheaf-on-the-prime-spectra-of-modules-1305.1556</loc><lastmod>2013-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-submodules-and-a-sheaf-on-the-prime-spectra-of-modules-1305.1556"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-submodules-and-a-sheaf-on-the-prime-spectra-of-modules-1305.1556"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-resolution-of-path-ideals-of-cycles-1305.1651</loc><lastmod>2013-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-resolution-of-path-ideals-of-cycles-1305.1651"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-resolution-of-path-ideals-of-cycles-1305.1651"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-consequence-of-the-order-ideal-conjecture-1305.1709</loc><lastmod>2013-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-consequence-of-the-order-ideal-conjecture-1305.1709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-consequence-of-the-order-ideal-conjecture-1305.1709"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-and-sub-maximal-pfaffians-1305.1719</loc><lastmod>2015-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-and-sub-maximal-pfaffians-1305.1719"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-maximal-minors-and-sub-maximal-pfaffians-1305.1719"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-hilbert-kunz-function-and-multiplicity-1305.1833</loc><lastmod>2019-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-hilbert-kunz-function-and-multiplicity-1305.1833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-hilbert-kunz-function-and-multiplicity-1305.1833"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-homology-of-regular-quotients-1305.2216</loc><lastmod>2013-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-homology-of-regular-quotients-1305.2216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-homology-of-regular-quotients-1305.2216"/></url>
<url><loc>https://scifaro.com/en/abs/block-diagonal-reduction-of-matrices-over-commutative-rings-i-decomposition-of-modules-vs-decomposition-of-their-support-1305.2256</loc><lastmod>2026-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/block-diagonal-reduction-of-matrices-over-commutative-rings-i-decomposition-of-modules-vs-decomposition-of-their-support-1305.2256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/block-diagonal-reduction-of-matrices-over-commutative-rings-i-decomposition-of-modules-vs-decomposition-of-their-support-1305.2256"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-of-graded-modules-over-k-x-y-1305.2338</loc><lastmod>2013-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-of-graded-modules-over-k-x-y-1305.2338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-of-graded-modules-over-k-x-y-1305.2338"/></url>
<url><loc>https://scifaro.com/en/abs/on-ideals-with-the-rees-property-1305.2551</loc><lastmod>2013-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ideals-with-the-rees-property-1305.2551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ideals-with-the-rees-property-1305.2551"/></url>
<url><loc>https://scifaro.com/en/abs/yoga-of-commutators-in-roy-s-elementary-orthogonal-group-1305.2826</loc><lastmod>2017-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/yoga-of-commutators-in-roy-s-elementary-orthogonal-group-1305.2826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/yoga-of-commutators-in-roy-s-elementary-orthogonal-group-1305.2826"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-unit-group-of-a-commutative-group-ring-1305.3179</loc><lastmod>2013-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-unit-group-of-a-commutative-group-ring-1305.3179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-unit-group-of-a-commutative-group-ring-1305.3179"/></url>
<url><loc>https://scifaro.com/en/abs/on-tense-mv-algebras-1305.3406</loc><lastmod>2013-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tense-mv-algebras-1305.3406"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tense-mv-algebras-1305.3406"/></url>
<url><loc>https://scifaro.com/en/abs/w-stability-and-clifford-w-regularity-of-polynomial-rings-1305.3824</loc><lastmod>2013-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/w-stability-and-clifford-w-regularity-of-polynomial-rings-1305.3824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/w-stability-and-clifford-w-regularity-of-polynomial-rings-1305.3824"/></url>
<url><loc>https://scifaro.com/en/abs/locally-principal-ideals-and-finite-character-1305.3829</loc><lastmod>2013-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-principal-ideals-and-finite-character-1305.3829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-principal-ideals-and-finite-character-1305.3829"/></url>
<url><loc>https://scifaro.com/en/abs/huneke-wiegand-conjecture-and-change-of-rings-1305.4238</loc><lastmod>2013-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/huneke-wiegand-conjecture-and-change-of-rings-1305.4238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/huneke-wiegand-conjecture-and-change-of-rings-1305.4238"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-structure-for-the-herzog-takayama-resolution-1305.4302</loc><lastmod>2014-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-structure-for-the-herzog-takayama-resolution-1305.4302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-structure-for-the-herzog-takayama-resolution-1305.4302"/></url>
<url><loc>https://scifaro.com/en/abs/monomials-as-sum-of-k-th-powers-of-forms-1305.4553</loc><lastmod>2019-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomials-as-sum-of-k-th-powers-of-forms-1305.4553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomials-as-sum-of-k-th-powers-of-forms-1305.4553"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimension-of-monomial-ideals-in-polynomial-rings-with-real-exponents-1305.5460</loc><lastmod>2013-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimension-of-monomial-ideals-in-polynomial-rings-with-real-exponents-1305.5460"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimension-of-monomial-ideals-in-polynomial-rings-with-real-exponents-1305.5460"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-annihilators-and-macaulayfication-1305.5609</loc><lastmod>2013-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-annihilators-and-macaulayfication-1305.5609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-annihilators-and-macaulayfication-1305.5609"/></url>
<url><loc>https://scifaro.com/en/abs/codismantlability-and-projective-dimension-of-the-stanley-reisner-ring-of-special-hypergraphs-1305.5954</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/codismantlability-and-projective-dimension-of-the-stanley-reisner-ring-of-special-hypergraphs-1305.5954"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/codismantlability-and-projective-dimension-of-the-stanley-reisner-ring-of-special-hypergraphs-1305.5954"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-projective-dimension-of-edge-ideal-of-c-5-free-vertex-decomposable-graphs-1305.6122</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-projective-dimension-of-edge-ideal-of-c-5-free-vertex-decomposable-graphs-1305.6122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-projective-dimension-of-edge-ideal-of-c-5-free-vertex-decomposable-graphs-1305.6122"/></url>
<url><loc>https://scifaro.com/en/abs/the-m-principal-graph-of-a-commutative-ring-1305.6192</loc><lastmod>2013-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-m-principal-graph-of-a-commutative-ring-1305.6192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-m-principal-graph-of-a-commutative-ring-1305.6192"/></url>
<url><loc>https://scifaro.com/en/abs/the-m-regular-graph-of-a-commutative-ring-1305.6199</loc><lastmod>2013-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-m-regular-graph-of-a-commutative-ring-1305.6199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-m-regular-graph-of-a-commutative-ring-1305.6199"/></url>
<url><loc>https://scifaro.com/en/abs/the-intersection-graph-of-ideals-of-mathbb-z-n-is-weakly-perfect-1305.6287</loc><lastmod>2013-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-intersection-graph-of-ideals-of-mathbb-z-n-is-weakly-perfect-1305.6287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-intersection-graph-of-ideals-of-mathbb-z-n-is-weakly-perfect-1305.6287"/></url>
<url><loc>https://scifaro.com/en/abs/effective-differential-nullstellensatz-for-ordinary-dae-systems-with-constant-coefficients-1305.6298</loc><lastmod>2014-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-differential-nullstellensatz-for-ordinary-dae-systems-with-constant-coefficients-1305.6298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-differential-nullstellensatz-for-ordinary-dae-systems-with-constant-coefficients-1305.6298"/></url>
<url><loc>https://scifaro.com/en/abs/towers-of-complements-to-valuation-rings-and-truncation-closed-embeddings-of-valued-fields-1305.6304</loc><lastmod>2013-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towers-of-complements-to-valuation-rings-and-truncation-closed-embeddings-of-valued-fields-1305.6304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towers-of-complements-to-valuation-rings-and-truncation-closed-embeddings-of-valued-fields-1305.6304"/></url>
<url><loc>https://scifaro.com/en/abs/what-makes-a-multi-complex-exact-1305.6794</loc><lastmod>2014-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/what-makes-a-multi-complex-exact-1305.6794"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/what-makes-a-multi-complex-exact-1305.6794"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-for-the-waring-rank-of-a-form-1305.6957</loc><lastmod>2013-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-for-the-waring-rank-of-a-form-1305.6957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-for-the-waring-rank-of-a-form-1305.6957"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1305.7004</loc><lastmod>2013-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1305.7004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1305.7004"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-irreducible-free-divisors-in-p-2-1305.7464</loc><lastmod>2014-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-irreducible-free-divisors-in-p-2-1305.7464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-irreducible-free-divisors-in-p-2-1305.7464"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-and-symbolic-powers-of-monomial-ideals-1306.0542</loc><lastmod>2013-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-and-symbolic-powers-of-monomial-ideals-1306.0542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-and-symbolic-powers-of-monomial-ideals-1306.0542"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-cluster-algebras-of-rank-2-1306.0753</loc><lastmod>2015-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-cluster-algebras-of-rank-2-1306.0753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-cluster-algebras-of-rank-2-1306.0753"/></url>
<url><loc>https://scifaro.com/en/abs/noetherianity-for-infinite-dimensional-toric-varieties-1306.0828</loc><lastmod>2015-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherianity-for-infinite-dimensional-toric-varieties-1306.0828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherianity-for-infinite-dimensional-toric-varieties-1306.0828"/></url>
<url><loc>https://scifaro.com/en/abs/prescribed-subintegral-extensions-of-local-noetherian-domains-1306.0870</loc><lastmod>2013-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prescribed-subintegral-extensions-of-local-noetherian-domains-1306.0870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prescribed-subintegral-extensions-of-local-noetherian-domains-1306.0870"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-symmetric-and-rees-algebras-of-certain-determinantal-ideals-1306.0993</loc><lastmod>2013-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-symmetric-and-rees-algebras-of-certain-determinantal-ideals-1306.0993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-symmetric-and-rees-algebras-of-certain-determinantal-ideals-1306.0993"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-k-theory-of-feedback-actions-on-linear-systems-1306.1021</loc><lastmod>2013-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-k-theory-of-feedback-actions-on-linear-systems-1306.1021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-k-theory-of-feedback-actions-on-linear-systems-1306.1021"/></url>
<url><loc>https://scifaro.com/en/abs/strata-of-vector-spaces-of-forms-in-k-x-y-and-of-rational-curves-in-p-k-1306.1282</loc><lastmod>2015-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strata-of-vector-spaces-of-forms-in-k-x-y-and-of-rational-curves-in-p-k-1306.1282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strata-of-vector-spaces-of-forms-in-k-x-y-and-of-rational-curves-in-p-k-1306.1282"/></url>
<url><loc>https://scifaro.com/en/abs/non-vanishing-of-betti-numbers-of-edge-ideals-and-complete-bipartite-subgraphs-1306.1333</loc><lastmod>2014-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-vanishing-of-betti-numbers-of-edge-ideals-and-complete-bipartite-subgraphs-1306.1333"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-vanishing-of-betti-numbers-of-edge-ideals-and-complete-bipartite-subgraphs-1306.1333"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-gorenstein-algebras-with-linear-resolutions-1306.2523</loc><lastmod>2013-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-with-linear-resolutions-1306.2523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-with-linear-resolutions-1306.2523"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-for-complete-intersections-and-minimal-free-resolutions-1306.2615</loc><lastmod>2015-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-for-complete-intersections-and-minimal-free-resolutions-1306.2615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-for-complete-intersections-and-minimal-free-resolutions-1306.2615"/></url>
<url><loc>https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-modules-with-respect-a-pair-of-ideals-1306.2779</loc><lastmod>2013-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-modules-with-respect-a-pair-of-ideals-1306.2779"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-modules-with-respect-a-pair-of-ideals-1306.2779"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-a-monomial-ideal-to-have-a-linear-resolution-in-characteristic-2-1306.2857</loc><lastmod>2013-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-a-monomial-ideal-to-have-a-linear-resolution-in-characteristic-2-1306.2857"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-a-monomial-ideal-to-have-a-linear-resolution-in-characteristic-2-1306.2857"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-gorenstein-injective-dimension-1306.3049</loc><lastmod>2013-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-gorenstein-injective-dimension-1306.3049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-gorenstein-injective-dimension-1306.3049"/></url>
<url><loc>https://scifaro.com/en/abs/graver-degrees-are-not-polynomially-bounded-by-true-circuit-degrees-1306.3305</loc><lastmod>2018-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graver-degrees-are-not-polynomially-bounded-by-true-circuit-degrees-1306.3305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graver-degrees-are-not-polynomially-bounded-by-true-circuit-degrees-1306.3305"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-matlis-dual-of-a-certain-injective-hull-1306.3311</loc><lastmod>2013-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-matlis-dual-of-a-certain-injective-hull-1306.3311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-matlis-dual-of-a-certain-injective-hull-1306.3311"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-extensions-of-semistar-operations-1306.3650</loc><lastmod>2013-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-extensions-of-semistar-operations-1306.3650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-extensions-of-semistar-operations-1306.3650"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-characterization-of-rings-of-continuous-p-adic-valued-functions-1306.3788</loc><lastmod>2014-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-characterization-of-rings-of-continuous-p-adic-valued-functions-1306.3788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-characterization-of-rings-of-continuous-p-adic-valued-functions-1306.3788"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-envelopes-of-artinian-modules-1306.4452</loc><lastmod>2013-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-envelopes-of-artinian-modules-1306.4452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-envelopes-of-artinian-modules-1306.4452"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-jacobian-derivations-in-positive-characteristic-1306.4791</loc><lastmod>2013-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-jacobian-derivations-in-positive-characteristic-1306.4791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-jacobian-derivations-in-positive-characteristic-1306.4791"/></url>
<url><loc>https://scifaro.com/en/abs/on-pseudo-invereses-of-matrices-and-their-characteristic-polynomials-in-supertropical-algebra-1306.5861</loc><lastmod>2014-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pseudo-invereses-of-matrices-and-their-characteristic-polynomials-in-supertropical-algebra-1306.5861"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pseudo-invereses-of-matrices-and-their-characteristic-polynomials-in-supertropical-algebra-1306.5861"/></url>
<url><loc>https://scifaro.com/en/abs/colocalization-and-cotilting-for-commutative-noetherian-rings-1306.6234</loc><lastmod>2019-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colocalization-and-cotilting-for-commutative-noetherian-rings-1306.6234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colocalization-and-cotilting-for-commutative-noetherian-rings-1306.6234"/></url>
<url><loc>https://scifaro.com/en/abs/cotilting-modules-over-commutative-noetherian-rings-1306.6788</loc><lastmod>2014-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cotilting-modules-over-commutative-noetherian-rings-1306.6788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cotilting-modules-over-commutative-noetherian-rings-1306.6788"/></url>
<url><loc>https://scifaro.com/en/abs/involutive-bases-algorithm-incorporating-f5-criterion-1306.6811</loc><lastmod>2013-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/involutive-bases-algorithm-incorporating-f5-criterion-1306.6811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/involutive-bases-algorithm-incorporating-f5-criterion-1306.6811"/></url>
<url><loc>https://scifaro.com/en/abs/eine-charakterisierung-der-matlis-reflexiven-moduln-1306.6820</loc><lastmod>2013-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eine-charakterisierung-der-matlis-reflexiven-moduln-1306.6820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eine-charakterisierung-der-matlis-reflexiven-moduln-1306.6820"/></url>
<url><loc>https://scifaro.com/en/abs/segre-embeddings-hilbert-series-and-newcomb-s-problem-1306.6910</loc><lastmod>2014-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/segre-embeddings-hilbert-series-and-newcomb-s-problem-1306.6910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/segre-embeddings-hilbert-series-and-newcomb-s-problem-1306.6910"/></url>
<url><loc>https://scifaro.com/en/abs/a-somewhat-gentle-introduction-to-differential-graded-commutative-algebra-1307.0369</loc><lastmod>2013-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-somewhat-gentle-introduction-to-differential-graded-commutative-algebra-1307.0369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-somewhat-gentle-introduction-to-differential-graded-commutative-algebra-1307.0369"/></url>
<url><loc>https://scifaro.com/en/abs/computing-upper-cluster-algebras-1307.0579</loc><lastmod>2021-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-upper-cluster-algebras-1307.0579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-upper-cluster-algebras-1307.0579"/></url>
<url><loc>https://scifaro.com/en/abs/saturations-of-powers-of-certain-determinantal-ideals-1307.0593</loc><lastmod>2013-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/saturations-of-powers-of-certain-determinantal-ideals-1307.0593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/saturations-of-powers-of-certain-determinantal-ideals-1307.0593"/></url>
<url><loc>https://scifaro.com/en/abs/andr-e-quillen-homology-and-complete-intersection-flat-dimension-1307.0860</loc><lastmod>2018-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/andr-e-quillen-homology-and-complete-intersection-flat-dimension-1307.0860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/andr-e-quillen-homology-and-complete-intersection-flat-dimension-1307.0860"/></url>
<url><loc>https://scifaro.com/en/abs/the-f-pure-threshold-of-a-calabi-yau-hypersurface-1307.1171</loc><lastmod>2015-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f-pure-threshold-of-a-calabi-yau-hypersurface-1307.1171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f-pure-threshold-of-a-calabi-yau-hypersurface-1307.1171"/></url>
<url><loc>https://scifaro.com/en/abs/transforms-of-acyclic-complexes-1307.1500</loc><lastmod>2013-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transforms-of-acyclic-complexes-1307.1500"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transforms-of-acyclic-complexes-1307.1500"/></url>
<url><loc>https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-whiskers-1307.1652</loc><lastmod>2013-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-whiskers-1307.1652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-whiskers-1307.1652"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rationality-of-poincar-e-series-of-gorenstein-algebras-via-macaulay-s-correspondence-1307.1676</loc><lastmod>2014-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rationality-of-poincar-e-series-of-gorenstein-algebras-via-macaulay-s-correspondence-1307.1676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rationality-of-poincar-e-series-of-gorenstein-algebras-via-macaulay-s-correspondence-1307.1676"/></url>
<url><loc>https://scifaro.com/en/abs/existential-0-definability-of-henselian-valuation-rings-1307.1956</loc><lastmod>2013-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existential-0-definability-of-henselian-valuation-rings-1307.1956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existential-0-definability-of-henselian-valuation-rings-1307.1956"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-and-modules-over-two-dimensional-rational-singularities-1307.2093</loc><lastmod>2013-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-and-modules-over-two-dimensional-rational-singularities-1307.2093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-and-modules-over-two-dimensional-rational-singularities-1307.2093"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-binomial-edge-ideals-1307.2141</loc><lastmod>2013-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-binomial-edge-ideals-1307.2141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-binomial-edge-ideals-1307.2141"/></url>
<url><loc>https://scifaro.com/en/abs/a-good-leaf-order-on-simplicial-trees-1307.2190</loc><lastmod>2013-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-good-leaf-order-on-simplicial-trees-1307.2190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-good-leaf-order-on-simplicial-trees-1307.2190"/></url>
<url><loc>https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-the-graded-case-1307.2396</loc><lastmod>2013-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-the-graded-case-1307.2396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-the-graded-case-1307.2396"/></url>
<url><loc>https://scifaro.com/en/abs/a-function-on-the-the-set-of-isomorphism-classes-in-the-stable-category-of-maximal-cohen-macaulay-modules-over-a-gorenstein-ring-with-applications-to-liason-theory-1307.2728</loc><lastmod>2013-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-function-on-the-the-set-of-isomorphism-classes-in-the-stable-category-of-maximal-cohen-macaulay-modules-over-a-gorenstein-ring-with-applications-to-liason-theory-1307.2728"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-function-on-the-the-set-of-isomorphism-classes-in-the-stable-category-of-maximal-cohen-macaulay-modules-over-a-gorenstein-ring-with-applications-to-liason-theory-1307.2728"/></url>
<url><loc>https://scifaro.com/en/abs/the-monomial-ideal-of-independent-sets-associated-to-a-graph-1307.3050</loc><lastmod>2013-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-monomial-ideal-of-independent-sets-associated-to-a-graph-1307.3050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-monomial-ideal-of-independent-sets-associated-to-a-graph-1307.3050"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-bigraded-rees-algebras-and-normal-hilbert-coefficients-1307.3431</loc><lastmod>2013-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-bigraded-rees-algebras-and-normal-hilbert-coefficients-1307.3431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-bigraded-rees-algebras-and-normal-hilbert-coefficients-1307.3431"/></url>
<url><loc>https://scifaro.com/en/abs/additive-splittings-of-homogeneous-polynomials-1307.3532</loc><lastmod>2013-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/additive-splittings-of-homogeneous-polynomials-1307.3532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/additive-splittings-of-homogeneous-polynomials-1307.3532"/></url>
<url><loc>https://scifaro.com/en/abs/relative-homology-and-gorenstein-flat-dimension-1307.3657</loc><lastmod>2013-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-homology-and-gorenstein-flat-dimension-1307.3657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-homology-and-gorenstein-flat-dimension-1307.3657"/></url>
<url><loc>https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-1307.3861</loc><lastmod>2014-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-1307.3861"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-1307.3861"/></url>
<url><loc>https://scifaro.com/en/abs/toric-fiber-products-versus-segre-products-1307.4029</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-fiber-products-versus-segre-products-1307.4029"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-fiber-products-versus-segre-products-1307.4029"/></url>
<url><loc>https://scifaro.com/en/abs/strong-global-dimension-of-commutative-rings-and-schemes-1307.4288</loc><lastmod>2013-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-global-dimension-of-commutative-rings-and-schemes-1307.4288"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-global-dimension-of-commutative-rings-and-schemes-1307.4288"/></url>
<url><loc>https://scifaro.com/en/abs/autour-de-la-d-ecomposition-de-dunford-r-eelle-ou-complexe-th-eorie-spectrale-et-m-ethodes-effectives-1307.4410</loc><lastmod>2013-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/autour-de-la-d-ecomposition-de-dunford-r-eelle-ou-complexe-th-eorie-spectrale-et-m-ethodes-effectives-1307.4410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/autour-de-la-d-ecomposition-de-dunford-r-eelle-ou-complexe-th-eorie-spectrale-et-m-ethodes-effectives-1307.4410"/></url>
<url><loc>https://scifaro.com/en/abs/evolution-algebra-of-a-chicken-population-1307.4916</loc><lastmod>2013-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/evolution-algebra-of-a-chicken-population-1307.4916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/evolution-algebra-of-a-chicken-population-1307.4916"/></url>
<url><loc>https://scifaro.com/en/abs/on-computing-the-elimination-ideal-using-resultants-with-applications-to-gr-obner-bases-1307.5330</loc><lastmod>2015-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-computing-the-elimination-ideal-using-resultants-with-applications-to-gr-obner-bases-1307.5330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-computing-the-elimination-ideal-using-resultants-with-applications-to-gr-obner-bases-1307.5330"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-co-maximal-ideal-graph-of-commutative-rings-1307.5401</loc><lastmod>2015-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-co-maximal-ideal-graph-of-commutative-rings-1307.5401"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-co-maximal-ideal-graph-of-commutative-rings-1307.5401"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohomological-dimension-and-depth-under-linkage-1307.5513</loc><lastmod>2013-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohomological-dimension-and-depth-under-linkage-1307.5513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohomological-dimension-and-depth-under-linkage-1307.5513"/></url>
<url><loc>https://scifaro.com/en/abs/derived-hochschild-functors-over-commutative-adic-algebras-1307.5658</loc><lastmod>2013-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-hochschild-functors-over-commutative-adic-algebras-1307.5658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-hochschild-functors-over-commutative-adic-algebras-1307.5658"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-the-w-primality-and-asymptotic-w-primality-with-applications-to-numerical-semigroups-1307.5807</loc><lastmod>2014-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-the-w-primality-and-asymptotic-w-primality-with-applications-to-numerical-semigroups-1307.5807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-the-w-primality-and-asymptotic-w-primality-with-applications-to-numerical-semigroups-1307.5807"/></url>
<url><loc>https://scifaro.com/en/abs/a-special-case-of-postnikov-shapiro-conjecture-1307.5895</loc><lastmod>2014-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-special-case-of-postnikov-shapiro-conjecture-1307.5895"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-special-case-of-postnikov-shapiro-conjecture-1307.5895"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-to-compute-the-hilbert-depth-1307.6084</loc><lastmod>2014-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-to-compute-the-hilbert-depth-1307.6084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-to-compute-the-hilbert-depth-1307.6084"/></url>
<url><loc>https://scifaro.com/en/abs/non-gorenstein-isolated-singularities-of-graded-countable-cohen-macaulay-type-1307.6206</loc><lastmod>2013-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-gorenstein-isolated-singularities-of-graded-countable-cohen-macaulay-type-1307.6206"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-gorenstein-isolated-singularities-of-graded-countable-cohen-macaulay-type-1307.6206"/></url>
<url><loc>https://scifaro.com/en/abs/codes-over-a-weighted-torus-1307.6380</loc><lastmod>2013-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/codes-over-a-weighted-torus-1307.6380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/codes-over-a-weighted-torus-1307.6380"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-producing-f-pure-ideals-1307.6717</loc><lastmod>2018-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-producing-f-pure-ideals-1307.6717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-producing-f-pure-ideals-1307.6717"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-universal-gr-obner-basis-of-graph-ideals-1307.7224</loc><lastmod>2019-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-universal-gr-obner-basis-of-graph-ideals-1307.7224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-universal-gr-obner-basis-of-graph-ideals-1307.7224"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-property-of-diagonal-subalgebras-1307.7381</loc><lastmod>2013-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-property-of-diagonal-subalgebras-1307.7381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-property-of-diagonal-subalgebras-1307.7381"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-separating-algebras-and-reflection-groups-1307.7522</loc><lastmod>2013-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-separating-algebras-and-reflection-groups-1307.7522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-separating-algebras-and-reflection-groups-1307.7522"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-joint-meet-ideals-of-distributive-lattices-1307.7557</loc><lastmod>2013-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-joint-meet-ideals-of-distributive-lattices-1307.7557"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-joint-meet-ideals-of-distributive-lattices-1307.7557"/></url>
<url><loc>https://scifaro.com/en/abs/deformations-of-zero-dimensional-schemes-and-applications-1307.8108</loc><lastmod>2014-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-zero-dimensional-schemes-and-applications-1307.8108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-zero-dimensional-schemes-and-applications-1307.8108"/></url>
<url><loc>https://scifaro.com/en/abs/stillman-s-question-for-exterior-algebras-and-herzog-s-conjecture-on-betti-numbers-of-syzygy-modules-1307.8162</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stillman-s-question-for-exterior-algebras-and-herzog-s-conjecture-on-betti-numbers-of-syzygy-modules-1307.8162"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stillman-s-question-for-exterior-algebras-and-herzog-s-conjecture-on-betti-numbers-of-syzygy-modules-1307.8162"/></url>
<url><loc>https://scifaro.com/en/abs/three-generated-squarefree-monomial-ideals-1307.8292</loc><lastmod>2014-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-generated-squarefree-monomial-ideals-1307.8292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-generated-squarefree-monomial-ideals-1307.8292"/></url>
<url><loc>https://scifaro.com/en/abs/f-injectivity-and-buchsbaum-singularities-1308.0149</loc><lastmod>2015-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-injectivity-and-buchsbaum-singularities-1308.0149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-injectivity-and-buchsbaum-singularities-1308.0149"/></url>
<url><loc>https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-ii-1308.0165</loc><lastmod>2013-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-ii-1308.0165"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-rahm-cohomology-of-local-cohomology-modules-ii-1308.0165"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-free-resolutions-over-monomial-rings-in-two-variables-1308.0179</loc><lastmod>2013-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-free-resolutions-over-monomial-rings-in-two-variables-1308.0179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-free-resolutions-over-monomial-rings-in-two-variables-1308.0179"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-of-classical-varieties-1308.0582</loc><lastmod>2015-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-of-classical-varieties-1308.0582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-of-classical-varieties-1308.0582"/></url>
<url><loc>https://scifaro.com/en/abs/lattice-of-ideals-of-the-polynomial-ring-over-a-commutative-chain-ring-1308.0727</loc><lastmod>2013-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lattice-of-ideals-of-the-polynomial-ring-over-a-commutative-chain-ring-1308.0727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lattice-of-ideals-of-the-polynomial-ring-over-a-commutative-chain-ring-1308.0727"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-ideals-1308.0943</loc><lastmod>2020-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-ideals-1308.0943"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-ideals-1308.0943"/></url>
<url><loc>https://scifaro.com/en/abs/zero-separating-invariants-for-finite-groups-1308.0991</loc><lastmod>2014-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-separating-invariants-for-finite-groups-1308.0991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-separating-invariants-for-finite-groups-1308.0991"/></url>
<url><loc>https://scifaro.com/en/abs/normal-form-for-ritt-s-second-theorem-1308.1135</loc><lastmod>2014-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-form-for-ritt-s-second-theorem-1308.1135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-form-for-ritt-s-second-theorem-1308.1135"/></url>
<url><loc>https://scifaro.com/en/abs/modules-over-categories-and-betti-posets-of-monomial-ideals-1308.1434</loc><lastmod>2015-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-over-categories-and-betti-posets-of-monomial-ideals-1308.1434"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-over-categories-and-betti-posets-of-monomial-ideals-1308.1434"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-regularity-i-1308.2034</loc><lastmod>2013-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-regularity-i-1308.2034"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-regularity-i-1308.2034"/></url>
<url><loc>https://scifaro.com/en/abs/on-endomorphism-rings-of-local-cohomology-modules-1308.2584</loc><lastmod>2013-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-endomorphism-rings-of-local-cohomology-modules-1308.2584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-endomorphism-rings-of-local-cohomology-modules-1308.2584"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-1308.2805</loc><lastmod>2013-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-1308.2805"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-1308.2805"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-regularity-of-zz-graded-modules-over-polynomial-rings-1308.2917</loc><lastmod>2013-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-regularity-of-zz-graded-modules-over-polynomial-rings-1308.2917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-regularity-of-zz-graded-modules-over-polynomial-rings-1308.2917"/></url>
<url><loc>https://scifaro.com/en/abs/some-duality-and-equivalence-results-1308.3071</loc><lastmod>2015-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-duality-and-equivalence-results-1308.3071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-duality-and-equivalence-results-1308.3071"/></url>
<url><loc>https://scifaro.com/en/abs/on-real-chains-of-evolution-algebras-1308.3093</loc><lastmod>2013-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-real-chains-of-evolution-algebras-1308.3093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-real-chains-of-evolution-algebras-1308.3093"/></url>
<url><loc>https://scifaro.com/en/abs/on-lattices-over-valuation-rings-of-arbitrary-rank-1308.3108</loc><lastmod>2020-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lattices-over-valuation-rings-of-arbitrary-rank-1308.3108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lattices-over-valuation-rings-of-arbitrary-rank-1308.3108"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-compute-the-hilbert-depth-of-a-graded-ideal-1308.3205</loc><lastmod>2014-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-compute-the-hilbert-depth-of-a-graded-ideal-1308.3205"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-compute-the-hilbert-depth-of-a-graded-ideal-1308.3205"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-modules-supported-at-determinantal-ideals-1308.4182</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-modules-supported-at-determinantal-ideals-1308.4182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-modules-supported-at-determinantal-ideals-1308.4182"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-and-diagonal-2-minors-1308.4308</loc><lastmod>2016-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-and-diagonal-2-minors-1308.4308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-and-diagonal-2-minors-1308.4308"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-defining-equations-of-the-tangent-cone-of-a-numerical-semigroup-ring-1308.4644</loc><lastmod>2016-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-defining-equations-of-the-tangent-cone-of-a-numerical-semigroup-ring-1308.4644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-defining-equations-of-the-tangent-cone-of-a-numerical-semigroup-ring-1308.4644"/></url>
<url><loc>https://scifaro.com/en/abs/distractions-of-shakin-rings-1308.4659</loc><lastmod>2013-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distractions-of-shakin-rings-1308.4659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distractions-of-shakin-rings-1308.4659"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-study-on-cameron-walker-graphs-1308.4765</loc><lastmod>2014-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-study-on-cameron-walker-graphs-1308.4765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-study-on-cameron-walker-graphs-1308.4765"/></url>
<url><loc>https://scifaro.com/en/abs/the-hilbert-kunz-functions-of-two-dimensional-rings-of-type-ade-1308.5085</loc><lastmod>2013-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hilbert-kunz-functions-of-two-dimensional-rings-of-type-ade-1308.5085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hilbert-kunz-functions-of-two-dimensional-rings-of-type-ade-1308.5085"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-truncations-of-complete-intersections-1308.5285</loc><lastmod>2013-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-truncations-of-complete-intersections-1308.5285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-truncations-of-complete-intersections-1308.5285"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-the-socles-of-powers-of-squarefree-monomial-ideals-1308.5400</loc><lastmod>2013-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-the-socles-of-powers-of-squarefree-monomial-ideals-1308.5400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-the-socles-of-powers-of-squarefree-monomial-ideals-1308.5400"/></url>
<url><loc>https://scifaro.com/en/abs/strong-koszulness-of-toric-rings-associated-with-stable-set-polytopes-of-trivially-perfect-graphs-1308.5461</loc><lastmod>2013-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-koszulness-of-toric-rings-associated-with-stable-set-polytopes-of-trivially-perfect-graphs-1308.5461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-koszulness-of-toric-rings-associated-with-stable-set-polytopes-of-trivially-perfect-graphs-1308.5461"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-local-global-principle-for-the-minimaxness-of-local-cohomology-modules-1308.5540</loc><lastmod>2013-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-minimaxness-of-local-cohomology-modules-1308.5540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-minimaxness-of-local-cohomology-modules-1308.5540"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalization-of-faltings-annihilator-theorem-1308.5945</loc><lastmod>2013-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalization-of-faltings-annihilator-theorem-1308.5945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalization-of-faltings-annihilator-theorem-1308.5945"/></url>
<url><loc>https://scifaro.com/en/abs/ratliff-rush-closures-and-linear-growth-of-primary-decompositions-of-ideals-1308.5948</loc><lastmod>2016-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-closures-and-linear-growth-of-primary-decompositions-of-ideals-1308.5948"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-closures-and-linear-growth-of-primary-decompositions-of-ideals-1308.5948"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-for-ideals-of-dimension-one-1308.6040</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-for-ideals-of-dimension-one-1308.6040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-for-ideals-of-dimension-one-1308.6040"/></url>
<url><loc>https://scifaro.com/en/abs/socle-finiteness-of-local-cohomology-modules-and-gorenstein-ideals-1308.6043</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/socle-finiteness-of-local-cohomology-modules-and-gorenstein-ideals-1308.6043"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/socle-finiteness-of-local-cohomology-modules-and-gorenstein-ideals-1308.6043"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-characterization-of-cohen-macaulay-rings-1308.6044</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-characterization-of-cohen-macaulay-rings-1308.6044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-characterization-of-cohen-macaulay-rings-1308.6044"/></url>
<url><loc>https://scifaro.com/en/abs/quintasymptotic-sequences-over-an-ideal-and-quintasymptotic-cograde-1308.6048</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quintasymptotic-sequences-over-an-ideal-and-quintasymptotic-cograde-1308.6048"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quintasymptotic-sequences-over-an-ideal-and-quintasymptotic-cograde-1308.6048"/></url>
<url><loc>https://scifaro.com/en/abs/an-intriguing-ring-structure-on-the-set-of-d-forms-1308.6237</loc><lastmod>2013-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-intriguing-ring-structure-on-the-set-of-d-forms-1308.6237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-intriguing-ring-structure-on-the-set-of-d-forms-1308.6237"/></url>
<url><loc>https://scifaro.com/en/abs/bockstein-cohomology-of-associated-graded-rings-1308.6428</loc><lastmod>2013-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bockstein-cohomology-of-associated-graded-rings-1308.6428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bockstein-cohomology-of-associated-graded-rings-1308.6428"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-quintasymptotic-prime-ideals-1308.6449</loc><lastmod>2013-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-quintasymptotic-prime-ideals-1308.6449"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-quintasymptotic-prime-ideals-1308.6449"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-supported-simple-complete-ideals-in-a-regular-local-ring-1308.6613</loc><lastmod>2014-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-supported-simple-complete-ideals-in-a-regular-local-ring-1308.6613"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-supported-simple-complete-ideals-in-a-regular-local-ring-1308.6613"/></url>
<url><loc>https://scifaro.com/en/abs/moving-curve-ideals-of-rational-plane-parametrizations-1308.6790</loc><lastmod>2014-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/moving-curve-ideals-of-rational-plane-parametrizations-1308.6790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/moving-curve-ideals-of-rational-plane-parametrizations-1308.6790"/></url>
<url><loc>https://scifaro.com/en/abs/subadditivity-of-syzygies-of-koszul-algebras-1308.6811</loc><lastmod>2013-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subadditivity-of-syzygies-of-koszul-algebras-1308.6811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subadditivity-of-syzygies-of-koszul-algebras-1308.6811"/></url>
<url><loc>https://scifaro.com/en/abs/commuting-matrices-and-modules-over-artinian-local-rings-1309.0053</loc><lastmod>2013-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commuting-matrices-and-modules-over-artinian-local-rings-1309.0053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commuting-matrices-and-modules-over-artinian-local-rings-1309.0053"/></url>
<url><loc>https://scifaro.com/en/abs/ramification-of-local-rings-along-valuations-1309.0135</loc><lastmod>2013-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ramification-of-local-rings-along-valuations-1309.0135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ramification-of-local-rings-along-valuations-1309.0135"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-of-bass-numbers-of-local-cohomology-modules-and-cominimaxness-1309.0431</loc><lastmod>2013-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-of-bass-numbers-of-local-cohomology-modules-and-cominimaxness-1309.0431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-of-bass-numbers-of-local-cohomology-modules-and-cominimaxness-1309.0431"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-class-of-squarefree-monomial-ideals-of-linear-type-1309.1072</loc><lastmod>2013-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-class-of-squarefree-monomial-ideals-of-linear-type-1309.1072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-class-of-squarefree-monomial-ideals-of-linear-type-1309.1072"/></url>
<url><loc>https://scifaro.com/en/abs/prime-ideals-and-regular-sequences-of-symmetric-polynomials-1309.1098</loc><lastmod>2013-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-ideals-and-regular-sequences-of-symmetric-polynomials-1309.1098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-ideals-and-regular-sequences-of-symmetric-polynomials-1309.1098"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-quasi-complete-intersection-ideals-1309.1186</loc><lastmod>2015-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-quasi-complete-intersection-ideals-1309.1186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-quasi-complete-intersection-ideals-1309.1186"/></url>
<url><loc>https://scifaro.com/en/abs/on-zariski-s-cancellation-problem-in-positive-characteristic-1309.1368</loc><lastmod>2013-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-zariski-s-cancellation-problem-in-positive-characteristic-1309.1368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-zariski-s-cancellation-problem-in-positive-characteristic-1309.1368"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-squarefree-monomial-ideal-of-linear-type-1309.1771</loc><lastmod>2014-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-squarefree-monomial-ideal-of-linear-type-1309.1771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-squarefree-monomial-ideal-of-linear-type-1309.1771"/></url>
<url><loc>https://scifaro.com/en/abs/splitting-tower-and-degree-of-tt-rings-1309.1802</loc><lastmod>2024-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splitting-tower-and-degree-of-tt-rings-1309.1802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splitting-tower-and-degree-of-tt-rings-1309.1802"/></url>
<url><loc>https://scifaro.com/en/abs/duality-and-socle-generators-for-residual-intersections-1309.2050</loc><lastmod>2018-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-and-socle-generators-for-residual-intersections-1309.2050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-and-socle-generators-for-residual-intersections-1309.2050"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-class-group-i-finite-generation-of-the-picard-and-the-class-groups-of-an-invariant-subring-1309.2367</loc><lastmod>2013-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-class-group-i-finite-generation-of-the-picard-and-the-class-groups-of-an-invariant-subring-1309.2367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-class-group-i-finite-generation-of-the-picard-and-the-class-groups-of-an-invariant-subring-1309.2367"/></url>
<url><loc>https://scifaro.com/en/abs/generalisations-of-the-tame-automorphisms-over-a-domain-of-positive-characteristic-1309.2377</loc><lastmod>2013-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalisations-of-the-tame-automorphisms-over-a-domain-of-positive-characteristic-1309.2377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalisations-of-the-tame-automorphisms-over-a-domain-of-positive-characteristic-1309.2377"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-monomial-ideals-containing-a-regular-sequence-1309.2776</loc><lastmod>2015-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-monomial-ideals-containing-a-regular-sequence-1309.2776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-monomial-ideals-containing-a-regular-sequence-1309.2776"/></url>
<url><loc>https://scifaro.com/en/abs/the-koszul-property-of-pinched-veronese-varieties-1309.3033</loc><lastmod>2013-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-koszul-property-of-pinched-veronese-varieties-1309.3033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-koszul-property-of-pinched-veronese-varieties-1309.3033"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-characterization-of-f-ideals-1309.3765</loc><lastmod>2019-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-characterization-of-f-ideals-1309.3765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-characterization-of-f-ideals-1309.3765"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-gorensteinness-of-extended-rees-algebras-1309.4019</loc><lastmod>2017-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-gorensteinness-of-extended-rees-algebras-1309.4019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-gorensteinness-of-extended-rees-algebras-1309.4019"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-linearity-defect-of-modules-over-local-rings-1309.4538</loc><lastmod>2013-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-linearity-defect-of-modules-over-local-rings-1309.4538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-linearity-defect-of-modules-over-local-rings-1309.4538"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-determinantal-rings-and-2-times-e-matrices-of-linear-forms-1309.4698</loc><lastmod>2014-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-determinantal-rings-and-2-times-e-matrices-of-linear-forms-1309.4698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-determinantal-rings-and-2-times-e-matrices-of-linear-forms-1309.4698"/></url>
<url><loc>https://scifaro.com/en/abs/laurent-cancellation-for-rings-of-transcendence-degree-one-1309.4737</loc><lastmod>2013-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/laurent-cancellation-for-rings-of-transcendence-degree-one-1309.4737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/laurent-cancellation-for-rings-of-transcendence-degree-one-1309.4737"/></url>
<url><loc>https://scifaro.com/en/abs/normal-0-1-polytopes-1309.4807</loc><lastmod>2014-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-0-1-polytopes-1309.4807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-0-1-polytopes-1309.4807"/></url>
<url><loc>https://scifaro.com/en/abs/four-generated-squarefree-monomial-ideals-1309.4986</loc><lastmod>2014-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/four-generated-squarefree-monomial-ideals-1309.4986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/four-generated-squarefree-monomial-ideals-1309.4986"/></url>
<url><loc>https://scifaro.com/en/abs/some-closure-operations-in-zariski-riemann-spaces-of-valuation-domains-a-survey-1309.5045</loc><lastmod>2013-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-closure-operations-in-zariski-riemann-spaces-of-valuation-domains-a-survey-1309.5045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-closure-operations-in-zariski-riemann-spaces-of-valuation-domains-a-survey-1309.5045"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1309.5082</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1309.5082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1309.5082"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-like-conditions-on-an-amalgamated-algebra-along-an-ideal-1309.5187</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-on-an-amalgamated-algebra-along-an-ideal-1309.5187"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-like-conditions-on-an-amalgamated-algebra-along-an-ideal-1309.5187"/></url>
<url><loc>https://scifaro.com/en/abs/spectral-spaces-and-ultrafilters-1309.5190</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spectral-spaces-and-ultrafilters-1309.5190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spectral-spaces-and-ultrafilters-1309.5190"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-canonical-ideals-of-one-dimensional-cohen-macaulay-local-rings-1309.5193</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-canonical-ideals-of-one-dimensional-cohen-macaulay-local-rings-1309.5193"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-canonical-ideals-of-one-dimensional-cohen-macaulay-local-rings-1309.5193"/></url>
<url><loc>https://scifaro.com/en/abs/on-solutions-for-derivations-of-a-noetherian-k-algebra-and-local-simplicity-1309.5282</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-solutions-for-derivations-of-a-noetherian-k-algebra-and-local-simplicity-1309.5282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-solutions-for-derivations-of-a-noetherian-k-algebra-and-local-simplicity-1309.5282"/></url>
<url><loc>https://scifaro.com/en/abs/generic-circuits-sets-and-general-initial-ideals-with-respect-to-weights-1309.5348</loc><lastmod>2013-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-circuits-sets-and-general-initial-ideals-with-respect-to-weights-1309.5348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-circuits-sets-and-general-initial-ideals-with-respect-to-weights-1309.5348"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-and-local-cohomology-1309.6012</loc><lastmod>2014-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-and-local-cohomology-1309.6012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-and-local-cohomology-1309.6012"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolution-of-powers-of-monomial-ideals-and-golod-rings-1309.6351</loc><lastmod>2013-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolution-of-powers-of-monomial-ideals-and-golod-rings-1309.6351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolution-of-powers-of-monomial-ideals-and-golod-rings-1309.6351"/></url>
<url><loc>https://scifaro.com/en/abs/the-theory-of-ordinal-length-1309.6694</loc><lastmod>2013-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-theory-of-ordinal-length-1309.6694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-theory-of-ordinal-length-1309.6694"/></url>
<url><loc>https://scifaro.com/en/abs/liftable-integral-closure-1309.6966</loc><lastmod>2014-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/liftable-integral-closure-1309.6966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/liftable-integral-closure-1309.6966"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-depth-of-tensor-products-of-modules-1309.7104</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-depth-of-tensor-products-of-modules-1309.7104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-depth-of-tensor-products-of-modules-1309.7104"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-for-critical-dimension-groups-and-permutation-hermite-equivalence-1309.7417</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-for-critical-dimension-groups-and-permutation-hermite-equivalence-1309.7417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-for-critical-dimension-groups-and-permutation-hermite-equivalence-1309.7417"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-linearity-of-omega-primality-in-numerical-monoids-1309.7476</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-linearity-of-omega-primality-in-numerical-monoids-1309.7476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-linearity-of-omega-primality-in-numerical-monoids-1309.7476"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-properties-of-leamer-monoids-1309.7477</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-properties-of-leamer-monoids-1309.7477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-properties-of-leamer-monoids-1309.7477"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-the-klein-four-group-1309.7812</loc><lastmod>2016-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-the-klein-four-group-1309.7812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-invariants-for-modular-representations-of-the-klein-four-group-1309.7812"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-of-string-and-cycle-hypergraphs-1309.7948</loc><lastmod>2014-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-of-string-and-cycle-hypergraphs-1309.7948"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-of-string-and-cycle-hypergraphs-1309.7948"/></url>
<url><loc>https://scifaro.com/en/abs/an-application-of-the-almost-purity-theorem-to-the-homological-conjectures-1310.0389</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-application-of-the-almost-purity-theorem-to-the-homological-conjectures-1310.0389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-application-of-the-almost-purity-theorem-to-the-homological-conjectures-1310.0389"/></url>
<url><loc>https://scifaro.com/en/abs/nil-clean-matrix-rings-1310.0416</loc><lastmod>2013-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nil-clean-matrix-rings-1310.0416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nil-clean-matrix-rings-1310.0416"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-systems-of-basic-invariants-for-unitary-reflection-groups-1310.0570</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-systems-of-basic-invariants-for-unitary-reflection-groups-1310.0570"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-systems-of-basic-invariants-for-unitary-reflection-groups-1310.0570"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bound-of-multiplicity-of-f-rational-rings-and-f-pure-rings-1310.0584</loc><lastmod>2013-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bound-of-multiplicity-of-f-rational-rings-and-f-pure-rings-1310.0584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bound-of-multiplicity-of-f-rational-rings-and-f-pure-rings-1310.0584"/></url>
<url><loc>https://scifaro.com/en/abs/term-ordering-free-involutive-bases-1310.0916</loc><lastmod>2013-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/term-ordering-free-involutive-bases-1310.0916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/term-ordering-free-involutive-bases-1310.0916"/></url>
<url><loc>https://scifaro.com/en/abs/on-invariants-and-endomorphism-rings-of-local-cohomology-modules-1310.0920</loc><lastmod>2013-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-invariants-and-endomorphism-rings-of-local-cohomology-modules-1310.0920"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-invariants-and-endomorphism-rings-of-local-cohomology-modules-1310.0920"/></url>
<url><loc>https://scifaro.com/en/abs/difference-algebraic-relations-among-solutions-of-linear-differential-equations-1310.1289</loc><lastmod>2015-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-algebraic-relations-among-solutions-of-linear-differential-equations-1310.1289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-algebraic-relations-among-solutions-of-linear-differential-equations-1310.1289"/></url>
<url><loc>https://scifaro.com/en/abs/desingularization-of-regular-algebras-1310.1862</loc><lastmod>2017-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/desingularization-of-regular-algebras-1310.1862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/desingularization-of-regular-algebras-1310.1862"/></url>
<url><loc>https://scifaro.com/en/abs/regular-cw-complexes-and-poset-resolutions-of-monomial-ideals-1310.2315</loc><lastmod>2013-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-cw-complexes-and-poset-resolutions-of-monomial-ideals-1310.2315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-cw-complexes-and-poset-resolutions-of-monomial-ideals-1310.2315"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-algebras-and-their-syzygies-1310.2496</loc><lastmod>2013-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-algebras-and-their-syzygies-1310.2496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-algebras-and-their-syzygies-1310.2496"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-construction-for-cohen-macaulay-graphs-1310.2872</loc><lastmod>2013-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-construction-for-cohen-macaulay-graphs-1310.2872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-construction-for-cohen-macaulay-graphs-1310.2872"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.2903</loc><lastmod>2013-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.2903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.2903"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-primary-components-given-by-powers-of-monomial-prime-ideals-1310.3409</loc><lastmod>2013-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-primary-components-given-by-powers-of-monomial-prime-ideals-1310.3409"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-primary-components-given-by-powers-of-monomial-prime-ideals-1310.3409"/></url>
<url><loc>https://scifaro.com/en/abs/flat-local-morphisms-of-rings-with-prescribed-depth-and-dimension-1310.3478</loc><lastmod>2016-12-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-local-morphisms-of-rings-with-prescribed-depth-and-dimension-1310.3478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-local-morphisms-of-rings-with-prescribed-depth-and-dimension-1310.3478"/></url>
<url><loc>https://scifaro.com/en/abs/the-filtration-induced-by-a-locally-nilpotent-derivation-1310.3784</loc><lastmod>2013-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-filtration-induced-by-a-locally-nilpotent-derivation-1310.3784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-filtration-induced-by-a-locally-nilpotent-derivation-1310.3784"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.3981</loc><lastmod>2013-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.3981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-some-classes-of-binomial-edge-ideals-1310.3981"/></url>
<url><loc>https://scifaro.com/en/abs/initial-ideals-of-borel-type-1310.3982</loc><lastmod>2013-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initial-ideals-of-borel-type-1310.3982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initial-ideals-of-borel-type-1310.3982"/></url>
<url><loc>https://scifaro.com/en/abs/beck-s-conjecture-for-multiplicative-lattices-1310.4594</loc><lastmod>2013-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/beck-s-conjecture-for-multiplicative-lattices-1310.4594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/beck-s-conjecture-for-multiplicative-lattices-1310.4594"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-modules-of-invariant-rings-1310.4626</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-modules-of-invariant-rings-1310.4626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-modules-of-invariant-rings-1310.4626"/></url>
<url><loc>https://scifaro.com/en/abs/diameter-and-girth-of-zero-divisor-graph-of-multiplicative-lattices-1310.4653</loc><lastmod>2013-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diameter-and-girth-of-zero-divisor-graph-of-multiplicative-lattices-1310.4653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diameter-and-girth-of-zero-divisor-graph-of-multiplicative-lattices-1310.4653"/></url>
<url><loc>https://scifaro.com/en/abs/de-rham-cohomology-of-h-1-f-r-where-v-f-is-a-smooth-hypersurface-in-mathbb-p-n-1310.4654</loc><lastmod>2013-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-rham-cohomology-of-h-1-f-r-where-v-f-is-a-smooth-hypersurface-in-mathbb-p-n-1310.4654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-rham-cohomology-of-h-1-f-r-where-v-f-is-a-smooth-hypersurface-in-mathbb-p-n-1310.4654"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-stabilization-for-the-powers-of-graded-m-primary-ideals-1310.4727</loc><lastmod>2013-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-stabilization-for-the-powers-of-graded-m-primary-ideals-1310.4727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-stabilization-for-the-powers-of-graded-m-primary-ideals-1310.4727"/></url>
<url><loc>https://scifaro.com/en/abs/fitting-ideals-and-multiple-points-of-surface-parameterizations-1310.4915</loc><lastmod>2013-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fitting-ideals-and-multiple-points-of-surface-parameterizations-1310.4915"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fitting-ideals-and-multiple-points-of-surface-parameterizations-1310.4915"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-primes-and-the-depth-of-the-second-power-of-squarefree-monomial-ideals-1310.5303</loc><lastmod>2013-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-primes-and-the-depth-of-the-second-power-of-squarefree-monomial-ideals-1310.5303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-primes-and-the-depth-of-the-second-power-of-squarefree-monomial-ideals-1310.5303"/></url>
<url><loc>https://scifaro.com/en/abs/the-projective-dimension-of-sequentially-cohen-macaulay-monomial-ideals-1310.5598</loc><lastmod>2013-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-projective-dimension-of-sequentially-cohen-macaulay-monomial-ideals-1310.5598"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-projective-dimension-of-sequentially-cohen-macaulay-monomial-ideals-1310.5598"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-binomial-edge-ideals-of-graphs-1310.6126</loc><lastmod>2013-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-binomial-edge-ideals-of-graphs-1310.6126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-binomial-edge-ideals-of-graphs-1310.6126"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-binomial-edge-ideals-1310.6426</loc><lastmod>2013-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-binomial-edge-ideals-1310.6426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-binomial-edge-ideals-1310.6426"/></url>
<url><loc>https://scifaro.com/en/abs/using-extended-derksen-ideals-in-computational-invariant-theory-1310.6851</loc><lastmod>2014-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/using-extended-derksen-ideals-in-computational-invariant-theory-1310.6851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/using-extended-derksen-ideals-in-computational-invariant-theory-1310.6851"/></url>
<url><loc>https://scifaro.com/en/abs/non-complete-intersection-prime-ideals-in-dimension-3-1310.7364</loc><lastmod>2015-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-complete-intersection-prime-ideals-in-dimension-3-1310.7364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-complete-intersection-prime-ideals-in-dimension-3-1310.7364"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-koszul-edge-rings-1310.7476</loc><lastmod>2016-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-koszul-edge-rings-1310.7476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-koszul-edge-rings-1310.7476"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-betti-numbers-of-simplicial-forests-1310.7484</loc><lastmod>2015-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-betti-numbers-of-simplicial-forests-1310.7484"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-betti-numbers-of-simplicial-forests-1310.7484"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-gorenstein-monomial-curves-1310.7779</loc><lastmod>2016-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-gorenstein-monomial-curves-1310.7779"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-gorenstein-monomial-curves-1310.7779"/></url>
<url><loc>https://scifaro.com/en/abs/on-complete-monomial-ideals-1310.7793</loc><lastmod>2016-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-complete-monomial-ideals-1310.7793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-complete-monomial-ideals-1310.7793"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-squarefree-monomial-ideals-1310.7912</loc><lastmod>2013-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-squarefree-monomial-ideals-1310.7912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-squarefree-monomial-ideals-1310.7912"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-of-koszul-cycles-with-applications-to-powers-of-edge-ideals-of-whisker-graphs-1310.7984</loc><lastmod>2013-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-of-koszul-cycles-with-applications-to-powers-of-edge-ideals-of-whisker-graphs-1310.7984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-of-koszul-cycles-with-applications-to-powers-of-edge-ideals-of-whisker-graphs-1310.7984"/></url>
<url><loc>https://scifaro.com/en/abs/parameterized-differential-equations-over-k-t-x-1310.8141</loc><lastmod>2015-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parameterized-differential-equations-over-k-t-x-1310.8141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parameterized-differential-equations-over-k-t-x-1310.8141"/></url>
<url><loc>https://scifaro.com/en/abs/a-strong-version-of-implicit-function-theorem-1311.0088</loc><lastmod>2016-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-strong-version-of-implicit-function-theorem-1311.0088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-strong-version-of-implicit-function-theorem-1311.0088"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-homogeneous-gorenstein-ideals-1311.0327</loc><lastmod>2014-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-homogeneous-gorenstein-ideals-1311.0327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-homogeneous-gorenstein-ideals-1311.0327"/></url>
<url><loc>https://scifaro.com/en/abs/an-application-of-liaison-theory-to-the-eisenbud-green-harris-conjecture-1311.0939</loc><lastmod>2013-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-application-of-liaison-theory-to-the-eisenbud-green-harris-conjecture-1311.0939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-application-of-liaison-theory-to-the-eisenbud-green-harris-conjecture-1311.0939"/></url>
<url><loc>https://scifaro.com/en/abs/spanning-simplicial-ccomplexes-of-uni-cyclic-graphs-1311.0981</loc><lastmod>2020-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spanning-simplicial-ccomplexes-of-uni-cyclic-graphs-1311.0981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spanning-simplicial-ccomplexes-of-uni-cyclic-graphs-1311.0981"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-uniform-bound-of-the-index-of-reducibility-of-parameter-ideals-of-a-module-whose-polynomial-type-is-at-most-one-1311.0987</loc><lastmod>2013-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-uniform-bound-of-the-index-of-reducibility-of-parameter-ideals-of-a-module-whose-polynomial-type-is-at-most-one-1311.0987"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-uniform-bound-of-the-index-of-reducibility-of-parameter-ideals-of-a-module-whose-polynomial-type-is-at-most-one-1311.0987"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-multiplicities-1311.1432</loc><lastmod>2013-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-multiplicities-1311.1432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-multiplicities-1311.1432"/></url>
<url><loc>https://scifaro.com/en/abs/dual-graphs-and-generating-sequences-of-non-divisorial-valuations-on-two-dimensional-function-fields-1311.1542</loc><lastmod>2026-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-graphs-and-generating-sequences-of-non-divisorial-valuations-on-two-dimensional-function-fields-1311.1542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-graphs-and-generating-sequences-of-non-divisorial-valuations-on-two-dimensional-function-fields-1311.1542"/></url>
<url><loc>https://scifaro.com/en/abs/a-few-comments-on-matlis-duality-1311.1573</loc><lastmod>2013-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-few-comments-on-matlis-duality-1311.1573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-few-comments-on-matlis-duality-1311.1573"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-vectors-hilbert-series-and-gluings-1311.1988</loc><lastmod>2013-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-vectors-hilbert-series-and-gluings-1311.1988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-vectors-hilbert-series-and-gluings-1311.1988"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-bounds-for-complexes-and-their-homology-1311.2572</loc><lastmod>2015-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-bounds-for-complexes-and-their-homology-1311.2572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-bounds-for-complexes-and-their-homology-1311.2572"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-time-solvable-csp-problems-via-algebraic-models-and-pfaffian-circuits-1311.4066</loc><lastmod>2013-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-time-solvable-csp-problems-via-algebraic-models-and-pfaffian-circuits-1311.4066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-time-solvable-csp-problems-via-algebraic-models-and-pfaffian-circuits-1311.4066"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-resolutions-from-mapping-cones-1311.4599</loc><lastmod>2015-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-from-mapping-cones-1311.4599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-from-mapping-cones-1311.4599"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-ii-1311.4620</loc><lastmod>2013-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-ii-1311.4620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-type-of-frobenius-complexes-ii-1311.4620"/></url>
<url><loc>https://scifaro.com/en/abs/markov-complexity-of-monomial-curves-1311.4707</loc><lastmod>2013-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/markov-complexity-of-monomial-curves-1311.4707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/markov-complexity-of-monomial-curves-1311.4707"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-in-the-self-idealization-of-a-pid-1311.5107</loc><lastmod>2013-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-in-the-self-idealization-of-a-pid-1311.5107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-in-the-self-idealization-of-a-pid-1311.5107"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-of-a-monomial-plane-parametrization-1311.5488</loc><lastmod>2014-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-of-a-monomial-plane-parametrization-1311.5488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-of-a-monomial-plane-parametrization-1311.5488"/></url>
<url><loc>https://scifaro.com/en/abs/a-duality-theorem-for-syzygies-of-veronese-ideals-1311.5653</loc><lastmod>2014-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-duality-theorem-for-syzygies-of-veronese-ideals-1311.5653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-duality-theorem-for-syzygies-of-veronese-ideals-1311.5653"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-f-signature-of-invariant-subrings-1311.5963</loc><lastmod>2015-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-f-signature-of-invariant-subrings-1311.5963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-f-signature-of-invariant-subrings-1311.5963"/></url>
<url><loc>https://scifaro.com/en/abs/dual-f-signature-of-special-cohen-macaulay-modules-over-cyclic-quotient-surface-singularities-1311.5967</loc><lastmod>2015-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-f-signature-of-special-cohen-macaulay-modules-over-cyclic-quotient-surface-singularities-1311.5967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-f-signature-of-special-cohen-macaulay-modules-over-cyclic-quotient-surface-singularities-1311.5967"/></url>
<url><loc>https://scifaro.com/en/abs/irrational-behavior-of-algebraic-discrete-valuations-1311.6047</loc><lastmod>2014-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irrational-behavior-of-algebraic-discrete-valuations-1311.6047"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irrational-behavior-of-algebraic-discrete-valuations-1311.6047"/></url>
<url><loc>https://scifaro.com/en/abs/henselian-elements-1311.6155</loc><lastmod>2013-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/henselian-elements-1311.6155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/henselian-elements-1311.6155"/></url>
<url><loc>https://scifaro.com/en/abs/on-reduced-zero-divisor-graphs-of-posets-1311.6560</loc><lastmod>2013-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-reduced-zero-divisor-graphs-of-posets-1311.6560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-reduced-zero-divisor-graphs-of-posets-1311.6560"/></url>
<url><loc>https://scifaro.com/en/abs/computing-2-dimensional-algebras-crossed-modules-and-cat1-algebras-1311.6692</loc><lastmod>2015-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-2-dimensional-algebras-crossed-modules-and-cat1-algebras-1311.6692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-2-dimensional-algebras-crossed-modules-and-cat1-algebras-1311.6692"/></url>
<url><loc>https://scifaro.com/en/abs/almost-complete-intersections-and-stanley-s-conjecture-1311.7303</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-complete-intersections-and-stanley-s-conjecture-1311.7303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-complete-intersections-and-stanley-s-conjecture-1311.7303"/></url>
<url><loc>https://scifaro.com/en/abs/differential-operators-on-modular-extensions-1312.0240</loc><lastmod>2013-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-operators-on-modular-extensions-1312.0240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-operators-on-modular-extensions-1312.0240"/></url>
<url><loc>https://scifaro.com/en/abs/on-monomial-ideals-whose-lyubeznik-resolution-is-minimal-1312.0321</loc><lastmod>2013-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monomial-ideals-whose-lyubeznik-resolution-is-minimal-1312.0321"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monomial-ideals-whose-lyubeznik-resolution-is-minimal-1312.0321"/></url>
<url><loc>https://scifaro.com/en/abs/perfect-sets-and-f-ideals-1312.0324</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfect-sets-and-f-ideals-1312.0324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfect-sets-and-f-ideals-1312.0324"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-n-d-th-f-ideals-1312.0325</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-n-d-th-f-ideals-1312.0325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-n-d-th-f-ideals-1312.0325"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-under-ideal-operations-1312.0327</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-under-ideal-operations-1312.0327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-under-ideal-operations-1312.0327"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-hilbert-coefficients-and-northcott-s-inequality-1312.0651</loc><lastmod>2013-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-hilbert-coefficients-and-northcott-s-inequality-1312.0651"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-hilbert-coefficients-and-northcott-s-inequality-1312.0651"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-minimal-resolution-for-certain-monomial-curves-1312.0789</loc><lastmod>2013-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-minimal-resolution-for-certain-monomial-curves-1312.0789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-minimal-resolution-for-certain-monomial-curves-1312.0789"/></url>
<url><loc>https://scifaro.com/en/abs/pretty-cleanness-and-filter-regular-sequences-1312.0858</loc><lastmod>2013-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pretty-cleanness-and-filter-regular-sequences-1312.0858"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pretty-cleanness-and-filter-regular-sequences-1312.0858"/></url>
<url><loc>https://scifaro.com/en/abs/the-intermediate-value-theorem-over-a-non-archimedean-field-via-hensel-s-lemma-1312.0877</loc><lastmod>2013-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-intermediate-value-theorem-over-a-non-archimedean-field-via-hensel-s-lemma-1312.0877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-intermediate-value-theorem-over-a-non-archimedean-field-via-hensel-s-lemma-1312.0877"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-on-five-generated-squarefree-monomial-ideals-1312.0923</loc><lastmod>2015-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-on-five-generated-squarefree-monomial-ideals-1312.0923"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-on-five-generated-squarefree-monomial-ideals-1312.0923"/></url>
<url><loc>https://scifaro.com/en/abs/fip-and-fcp-products-of-ring-morphisms-1312.1250</loc><lastmod>2013-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fip-and-fcp-products-of-ring-morphisms-1312.1250"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fip-and-fcp-products-of-ring-morphisms-1312.1250"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-annihilators-and-attached-primes-of-top-local-cohomology-modules-1312.1253</loc><lastmod>2014-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-annihilators-and-attached-primes-of-top-local-cohomology-modules-1312.1253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-annihilators-and-attached-primes-of-top-local-cohomology-modules-1312.1253"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-filtration-and-annihilators-of-top-local-cohomology-modules-1312.1330</loc><lastmod>2013-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-filtration-and-annihilators-of-top-local-cohomology-modules-1312.1330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-filtration-and-annihilators-of-top-local-cohomology-modules-1312.1330"/></url>
<url><loc>https://scifaro.com/en/abs/linear-flags-and-koszul-filtrations-1312.2190</loc><lastmod>2015-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-flags-and-koszul-filtrations-1312.2190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-flags-and-koszul-filtrations-1312.2190"/></url>
<url><loc>https://scifaro.com/en/abs/a-structure-theorem-for-2-stretched-gorenstein-algebras-1312.2191</loc><lastmod>2014-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-structure-theorem-for-2-stretched-gorenstein-algebras-1312.2191"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-structure-theorem-for-2-stretched-gorenstein-algebras-1312.2191"/></url>
<url><loc>https://scifaro.com/en/abs/orthosymplectic-lie-superalgebras-koszul-duality-and-a-complete-intersection-analogue-of-the-eagon-northcott-complex-1312.2255</loc><lastmod>2016-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/orthosymplectic-lie-superalgebras-koszul-duality-and-a-complete-intersection-analogue-of-the-eagon-northcott-complex-1312.2255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/orthosymplectic-lie-superalgebras-koszul-duality-and-a-complete-intersection-analogue-of-the-eagon-northcott-complex-1312.2255"/></url>
<url><loc>https://scifaro.com/en/abs/a-separated-cohomologically-complete-module-is-complete-1312.2714</loc><lastmod>2014-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-separated-cohomologically-complete-module-is-complete-1312.2714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-separated-cohomologically-complete-module-is-complete-1312.2714"/></url>
<url><loc>https://scifaro.com/en/abs/a-koszul-filtration-for-the-second-squarefree-veronese-subring-1312.3076</loc><lastmod>2013-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-koszul-filtration-for-the-second-squarefree-veronese-subring-1312.3076"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-koszul-filtration-for-the-second-squarefree-veronese-subring-1312.3076"/></url>
<url><loc>https://scifaro.com/en/abs/lattice-supported-splines-on-polytopal-complexes-1312.3294</loc><lastmod>2014-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lattice-supported-splines-on-polytopal-complexes-1312.3294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lattice-supported-splines-on-polytopal-complexes-1312.3294"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-and-topological-properties-of-an-amalgamated-algebra-along-an-ideal-1312.3804</loc><lastmod>2016-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-and-topological-properties-of-an-amalgamated-algebra-along-an-ideal-1312.3804"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-and-topological-properties-of-an-amalgamated-algebra-along-an-ideal-1312.3804"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-i-adic-completeness-1312.3908</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-i-adic-completeness-1312.3908"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-i-adic-completeness-1312.3908"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-the-algebras-mathbb-o-p-q-1312.3935</loc><lastmod>2013-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-the-algebras-mathbb-o-p-q-1312.3935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-the-algebras-mathbb-o-p-q-1312.3935"/></url>
<url><loc>https://scifaro.com/en/abs/separated-presentations-of-modules-over-pullback-rings-1312.4109</loc><lastmod>2013-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separated-presentations-of-modules-over-pullback-rings-1312.4109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separated-presentations-of-modules-over-pullback-rings-1312.4109"/></url>
<url><loc>https://scifaro.com/en/abs/the-alpha-problem-line-count-configurations-1312.4147</loc><lastmod>2014-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-alpha-problem-line-count-configurations-1312.4147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-alpha-problem-line-count-configurations-1312.4147"/></url>
<url><loc>https://scifaro.com/en/abs/positive-integer-powers-of-symmetric-0-1-heptadiagonal-matrix-1312.5238</loc><lastmod>2014-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/positive-integer-powers-of-symmetric-0-1-heptadiagonal-matrix-1312.5238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/positive-integer-powers-of-symmetric-0-1-heptadiagonal-matrix-1312.5238"/></url>
<url><loc>https://scifaro.com/en/abs/completeness-of-the-ring-of-polynomials-1312.5509</loc><lastmod>2013-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completeness-of-the-ring-of-polynomials-1312.5509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completeness-of-the-ring-of-polynomials-1312.5509"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-1312.5832</loc><lastmod>2013-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-1312.5832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-1312.5832"/></url>
<url><loc>https://scifaro.com/en/abs/on-injective-resolutions-of-local-cohomology-modules-1312.5852</loc><lastmod>2013-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-injective-resolutions-of-local-cohomology-modules-1312.5852"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-injective-resolutions-of-local-cohomology-modules-1312.5852"/></url>
<url><loc>https://scifaro.com/en/abs/on-modular-computation-of-groebner-bases-with-integer-coefficients-1312.6331</loc><lastmod>2024-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modular-computation-of-groebner-bases-with-integer-coefficients-1312.6331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modular-computation-of-groebner-bases-with-integer-coefficients-1312.6331"/></url>
<url><loc>https://scifaro.com/en/abs/direct-limits-of-cohen-macaulay-rings-1312.6799</loc><lastmod>2013-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/direct-limits-of-cohen-macaulay-rings-1312.6799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/direct-limits-of-cohen-macaulay-rings-1312.6799"/></url>
<url><loc>https://scifaro.com/en/abs/the-closure-of-a-linear-space-in-a-product-of-lines-1312.6874</loc><lastmod>2014-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-closure-of-a-linear-space-in-a-product-of-lines-1312.6874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-closure-of-a-linear-space-in-a-product-of-lines-1312.6874"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohomologically-complete-intersections-in-cohen-macaulay-rings-1312.6961</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohomologically-complete-intersections-in-cohen-macaulay-rings-1312.6961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohomologically-complete-intersections-in-cohen-macaulay-rings-1312.6961"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-betti-diagrams-of-powers-of-monomial-ideals-a-stability-conjecture-1312.6981</loc><lastmod>2013-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-betti-diagrams-of-powers-of-monomial-ideals-a-stability-conjecture-1312.6981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-betti-diagrams-of-powers-of-monomial-ideals-a-stability-conjecture-1312.6981"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-factorization-in-commutative-rings-with-zero-divisors-1312.7400</loc><lastmod>2013-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-factorization-in-commutative-rings-with-zero-divisors-1312.7400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-factorization-in-commutative-rings-with-zero-divisors-1312.7400"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-u-factorization-in-commutative-rings-with-zero-divisors-1312.7403</loc><lastmod>2013-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-u-factorization-in-commutative-rings-with-zero-divisors-1312.7403"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-u-factorization-in-commutative-rings-with-zero-divisors-1312.7403"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-irreducible-divisor-graphs-1312.7406</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-irreducible-divisor-graphs-1312.7406"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-irreducible-divisor-graphs-1312.7406"/></url>
<url><loc>https://scifaro.com/en/abs/a-result-on-macaulay-s-curve-1312.7661</loc><lastmod>2014-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-result-on-macaulay-s-curve-1312.7661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-result-on-macaulay-s-curve-1312.7661"/></url>
<url><loc>https://scifaro.com/en/abs/tau-complete-factorization-in-commutative-rings-with-zero-divisors-1401.0088</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tau-complete-factorization-in-commutative-rings-with-zero-divisors-1401.0088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tau-complete-factorization-in-commutative-rings-with-zero-divisors-1401.0088"/></url>
<url><loc>https://scifaro.com/en/abs/tau-regular-factorization-in-commutative-rings-with-zero-divisors-1401.0091</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tau-regular-factorization-in-commutative-rings-with-zero-divisors-1401.0091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tau-regular-factorization-in-commutative-rings-with-zero-divisors-1401.0091"/></url>
<url><loc>https://scifaro.com/en/abs/on-irreducible-divisor-graphs-in-commutative-rings-with-zero-divisors-1401.0095</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-irreducible-divisor-graphs-in-commutative-rings-with-zero-divisors-1401.0095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-irreducible-divisor-graphs-in-commutative-rings-with-zero-divisors-1401.0095"/></url>
<url><loc>https://scifaro.com/en/abs/local-rings-of-embedding-codepth-at-most-3-have-only-trivial-semidualizing-complexes-1401.0210</loc><lastmod>2014-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-at-most-3-have-only-trivial-semidualizing-complexes-1401.0210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-at-most-3-have-only-trivial-semidualizing-complexes-1401.0210"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-complexity-of-a-local-ring-of-prime-characteristic-1401.0234</loc><lastmod>2015-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-complexity-of-a-local-ring-of-prime-characteristic-1401.0234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-complexity-of-a-local-ring-of-prime-characteristic-1401.0234"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-lattice-generators-and-markov-bases-1401.0397</loc><lastmod>2015-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-lattice-generators-and-markov-bases-1401.0397"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-lattice-generators-and-markov-bases-1401.0397"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-anderson-badawi-omega-r-x-i-x-omega-r-i-conjecture-1401.0459</loc><lastmod>2016-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-anderson-badawi-omega-r-x-i-x-omega-r-i-conjecture-1401.0459"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-anderson-badawi-omega-r-x-i-x-omega-r-i-conjecture-1401.0459"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-2-dimensional-graded-normal-hypersurfaces-with-a-r-le-6-1401.0789</loc><lastmod>2014-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-2-dimensional-graded-normal-hypersurfaces-with-a-r-le-6-1401.0789"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-2-dimensional-graded-normal-hypersurfaces-with-a-r-le-6-1401.0789"/></url>
<url><loc>https://scifaro.com/en/abs/extendability-of-quadratic-modules-over-a-polynomial-extension-of-an-equicharacteristic-regular-local-ring-1401.0809</loc><lastmod>2017-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extendability-of-quadratic-modules-over-a-polynomial-extension-of-an-equicharacteristic-regular-local-ring-1401.0809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extendability-of-quadratic-modules-over-a-polynomial-extension-of-an-equicharacteristic-regular-local-ring-1401.0809"/></url>
<url><loc>https://scifaro.com/en/abs/normality-and-k-1-stability-of-roy-s-elementary-orthogonal-group-1401.0822</loc><lastmod>2017-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-and-k-1-stability-of-roy-s-elementary-orthogonal-group-1401.0822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-and-k-1-stability-of-roy-s-elementary-orthogonal-group-1401.0822"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-stanley-depth-and-stanley-regularity-of-edge-ideals-of-clutters-1401.1057</loc><lastmod>2014-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-stanley-depth-and-stanley-regularity-of-edge-ideals-of-clutters-1401.1057"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-stanley-depth-and-stanley-regularity-of-edge-ideals-of-clutters-1401.1057"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-conjecture-1401.1571</loc><lastmod>2014-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-conjecture-1401.1571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-stretched-ideals-and-sally-conjecture-1401.1571"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-shape-of-possible-counterexamples-to-the-jacobian-conjecture-1401.1784</loc><lastmod>2016-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-shape-of-possible-counterexamples-to-the-jacobian-conjecture-1401.1784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-shape-of-possible-counterexamples-to-the-jacobian-conjecture-1401.1784"/></url>
<url><loc>https://scifaro.com/en/abs/the-multiplicative-structure-on-hochschild-cohomology-of-a-complete-intersection-1401.2170</loc><lastmod>2014-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-multiplicative-structure-on-hochschild-cohomology-of-a-complete-intersection-1401.2170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-multiplicative-structure-on-hochschild-cohomology-of-a-complete-intersection-1401.2170"/></url>
<url><loc>https://scifaro.com/en/abs/decomposing-modular-tensor-products-and-periodicity-of-jordan-partitions-1401.2748</loc><lastmod>2016-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposing-modular-tensor-products-and-periodicity-of-jordan-partitions-1401.2748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposing-modular-tensor-products-and-periodicity-of-jordan-partitions-1401.2748"/></url>
<url><loc>https://scifaro.com/en/abs/on-v-marot-mori-rings-and-c-rings-1401.2761</loc><lastmod>2014-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-v-marot-mori-rings-and-c-rings-1401.2761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-v-marot-mori-rings-and-c-rings-1401.2761"/></url>
<url><loc>https://scifaro.com/en/abs/on-binomial-ideals-associated-to-linear-codes-1401.2794</loc><lastmod>2014-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-binomial-ideals-associated-to-linear-codes-1401.2794"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-binomial-ideals-associated-to-linear-codes-1401.2794"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-additively-divisible-commutative-semirings-1401.2836</loc><lastmod>2014-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-additively-divisible-commutative-semirings-1401.2836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-additively-divisible-commutative-semirings-1401.2836"/></url>
<url><loc>https://scifaro.com/en/abs/noncommutative-crepant-desingularizations-and-the-global-spectrum-of-commutative-rings-1401.3000</loc><lastmod>2014-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noncommutative-crepant-desingularizations-and-the-global-spectrum-of-commutative-rings-1401.3000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noncommutative-crepant-desingularizations-and-the-global-spectrum-of-commutative-rings-1401.3000"/></url>
<url><loc>https://scifaro.com/en/abs/tower-sets-and-other-configurations-with-the-cohen-macaulay-property-1401.3535</loc><lastmod>2014-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tower-sets-and-other-configurations-with-the-cohen-macaulay-property-1401.3535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tower-sets-and-other-configurations-with-the-cohen-macaulay-property-1401.3535"/></url>
<url><loc>https://scifaro.com/en/abs/the-behavior-of-stanley-depth-under-polarization-1401.4309</loc><lastmod>2014-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-behavior-of-stanley-depth-under-polarization-1401.4309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-behavior-of-stanley-depth-under-polarization-1401.4309"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-of-rings-of-integer-valued-polynomials-on-algebras-1401.4438</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-of-rings-of-integer-valued-polynomials-on-algebras-1401.4438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-of-rings-of-integer-valued-polynomials-on-algebras-1401.4438"/></url>
<url><loc>https://scifaro.com/en/abs/complexes-of-c-projective-modules-1401.4700</loc><lastmod>2015-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexes-of-c-projective-modules-1401.4700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexes-of-c-projective-modules-1401.4700"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-quadrics-1401.4710</loc><lastmod>2014-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-quadrics-1401.4710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-quadrics-1401.4710"/></url>
<url><loc>https://scifaro.com/en/abs/definable-henselian-valuation-rings-1401.4813</loc><lastmod>2014-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/definable-henselian-valuation-rings-1401.4813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/definable-henselian-valuation-rings-1401.4813"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-parameterized-second-order-linear-differential-equation-1401.5127</loc><lastmod>2014-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-parameterized-second-order-linear-differential-equation-1401.5127"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-differential-galois-group-of-a-parameterized-second-order-linear-differential-equation-1401.5127"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-new-intersection-theorem-for-totally-reflexive-modules-1401.5716</loc><lastmod>2019-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-new-intersection-theorem-for-totally-reflexive-modules-1401.5716"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-new-intersection-theorem-for-totally-reflexive-modules-1401.5716"/></url>
<url><loc>https://scifaro.com/en/abs/the-differential-dimension-polynomial-for-characterizable-differential-ideals-1401.5959</loc><lastmod>2014-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-differential-dimension-polynomial-for-characterizable-differential-ideals-1401.5959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-differential-dimension-polynomial-for-characterizable-differential-ideals-1401.5959"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-the-unipotent-radical-of-the-differential-galois-group-for-a-parameterized-second-order-linear-differential-equation-1401.6144</loc><lastmod>2014-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-the-unipotent-radical-of-the-differential-galois-group-for-a-parameterized-second-order-linear-differential-equation-1401.6144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-the-unipotent-radical-of-the-differential-galois-group-for-a-parameterized-second-order-linear-differential-equation-1401.6144"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-s-2-ifications-of-complete-local-rings-1401.6146</loc><lastmod>2014-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-s-2-ifications-of-complete-local-rings-1401.6146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-s-2-ifications-of-complete-local-rings-1401.6146"/></url>
<url><loc>https://scifaro.com/en/abs/a-multiplicity-bound-for-graded-rings-and-a-criterion-for-the-cohen-macaulay-property-1401.6216</loc><lastmod>2014-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-multiplicity-bound-for-graded-rings-and-a-criterion-for-the-cohen-macaulay-property-1401.6216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-multiplicity-bound-for-graded-rings-and-a-criterion-for-the-cohen-macaulay-property-1401.6216"/></url>
<url><loc>https://scifaro.com/en/abs/graver-bases-and-universal-gr-obner-bases-for-linear-codes-1401.6304</loc><lastmod>2014-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graver-bases-and-universal-gr-obner-bases-for-linear-codes-1401.6304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graver-bases-and-universal-gr-obner-bases-for-linear-codes-1401.6304"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-segre-veronese-transform-1401.6367</loc><lastmod>2015-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-segre-veronese-transform-1401.6367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-segre-veronese-transform-1401.6367"/></url>
<url><loc>https://scifaro.com/en/abs/monoids-of-modules-and-arithmetic-of-direct-sum-decompositions-1401.6553</loc><lastmod>2014-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monoids-of-modules-and-arithmetic-of-direct-sum-decompositions-1401.6553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monoids-of-modules-and-arithmetic-of-direct-sum-decompositions-1401.6553"/></url>
<url><loc>https://scifaro.com/en/abs/isomorphisms-between-jacobson-graphs-1401.6579</loc><lastmod>2014-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphisms-between-jacobson-graphs-1401.6579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphisms-between-jacobson-graphs-1401.6579"/></url>
<url><loc>https://scifaro.com/en/abs/cycles-and-paths-in-jacobson-graphs-1401.6618</loc><lastmod>2014-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cycles-and-paths-in-jacobson-graphs-1401.6618"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cycles-and-paths-in-jacobson-graphs-1401.6618"/></url>
<url><loc>https://scifaro.com/en/abs/on-cycles-in-intersection-graph-of-rings-1401.6619</loc><lastmod>2014-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cycles-in-intersection-graph-of-rings-1401.6619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cycles-in-intersection-graph-of-rings-1401.6619"/></url>
<url><loc>https://scifaro.com/en/abs/support-and-adic-finiteness-for-complexes-1401.6925</loc><lastmod>2015-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-and-adic-finiteness-for-complexes-1401.6925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-and-adic-finiteness-for-complexes-1401.6925"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-hochster-s-theta-invariant-1402.0805</loc><lastmod>2017-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-hochster-s-theta-invariant-1402.0805"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-hochster-s-theta-invariant-1402.0805"/></url>
<url><loc>https://scifaro.com/en/abs/a-dedekind-mertens-theorem-for-power-series-rings-1402.1100</loc><lastmod>2014-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-dedekind-mertens-theorem-for-power-series-rings-1402.1100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-dedekind-mertens-theorem-for-power-series-rings-1402.1100"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-polynomials-and-test-modules-in-positive-characteristic-1402.1333</loc><lastmod>2015-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-polynomials-and-test-modules-in-positive-characteristic-1402.1333"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-polynomials-and-test-modules-in-positive-characteristic-1402.1333"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-degrees-of-algebraic-structures-1402.1906</loc><lastmod>2014-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-degrees-of-algebraic-structures-1402.1906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-degrees-of-algebraic-structures-1402.1906"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-block-graphs-1402.2041</loc><lastmod>2014-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-block-graphs-1402.2041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-block-graphs-1402.2041"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-modules-over-positively-graded-polynomials-rings-1402.2588</loc><lastmod>2016-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-modules-over-positively-graded-polynomials-rings-1402.2588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-modules-over-positively-graded-polynomials-rings-1402.2588"/></url>
<url><loc>https://scifaro.com/en/abs/affine-convex-body-semigroups-and-buchsbaum-rings-1402.2597</loc><lastmod>2014-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-convex-body-semigroups-and-buchsbaum-rings-1402.2597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-convex-body-semigroups-and-buchsbaum-rings-1402.2597"/></url>
<url><loc>https://scifaro.com/en/abs/the-tangent-cone-of-a-local-ring-of-codimension-2-1402.2756</loc><lastmod>2014-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-tangent-cone-of-a-local-ring-of-codimension-2-1402.2756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-tangent-cone-of-a-local-ring-of-codimension-2-1402.2756"/></url>
<url><loc>https://scifaro.com/en/abs/the-number-of-matrices-over-mathbb-f-q-with-irreducible-characteristic-polynomial-1402.2794</loc><lastmod>2014-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-number-of-matrices-over-mathbb-f-q-with-irreducible-characteristic-polynomial-1402.2794"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-number-of-matrices-over-mathbb-f-q-with-irreducible-characteristic-polynomial-1402.2794"/></url>
<url><loc>https://scifaro.com/en/abs/an-intrinsic-definition-of-the-rees-algebra-of-a-module-1402.3219</loc><lastmod>2014-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-intrinsic-definition-of-the-rees-algebra-of-a-module-1402.3219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-intrinsic-definition-of-the-rees-algebra-of-a-module-1402.3219"/></url>
<url><loc>https://scifaro.com/en/abs/on-presimplifiable-group-rings-1402.3326</loc><lastmod>2020-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-presimplifiable-group-rings-1402.3326"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-presimplifiable-group-rings-1402.3326"/></url>
<url><loc>https://scifaro.com/en/abs/reverse-lexicographic-gr-obner-bases-and-strongly-koszul-toric-rings-1402.3532</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reverse-lexicographic-gr-obner-bases-and-strongly-koszul-toric-rings-1402.3532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reverse-lexicographic-gr-obner-bases-and-strongly-koszul-toric-rings-1402.3532"/></url>
<url><loc>https://scifaro.com/en/abs/bouquets-vertex-covers-and-edge-ideals-1402.3638</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bouquets-vertex-covers-and-edge-ideals-1402.3638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bouquets-vertex-covers-and-edge-ideals-1402.3638"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hermitian-curve-and-its-intersections-with-some-conics-1402.3829</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hermitian-curve-and-its-intersections-with-some-conics-1402.3829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hermitian-curve-and-its-intersections-with-some-conics-1402.3829"/></url>
<url><loc>https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-a-classification-algorithm-1402.4052</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-a-classification-algorithm-1402.4052"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-rings-of-embedding-codepth-3-a-classification-algorithm-1402.4052"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-and-separating-morphisms-for-algebraic-group-actions-1402.4299</loc><lastmod>2016-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-and-separating-morphisms-for-algebraic-group-actions-1402.4299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-and-separating-morphisms-for-algebraic-group-actions-1402.4299"/></url>
<url><loc>https://scifaro.com/en/abs/the-cut-operation-on-matrix-factorisations-1402.4541</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cut-operation-on-matrix-factorisations-1402.4541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cut-operation-on-matrix-factorisations-1402.4541"/></url>
<url><loc>https://scifaro.com/en/abs/generators-of-a-fraction-of-a-numerical-semigroup-1402.4905</loc><lastmod>2015-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-of-a-fraction-of-a-numerical-semigroup-1402.4905"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-of-a-fraction-of-a-numerical-semigroup-1402.4905"/></url>
<url><loc>https://scifaro.com/en/abs/a-combinatorial-description-of-finite-o-sequences-and-acm-genera-1402.5361</loc><lastmod>2015-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-combinatorial-description-of-finite-o-sequences-and-acm-genera-1402.5361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-combinatorial-description-of-finite-o-sequences-and-acm-genera-1402.5361"/></url>
<url><loc>https://scifaro.com/en/abs/absolutely-superficial-sequences-1402.5577</loc><lastmod>2014-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absolutely-superficial-sequences-1402.5577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absolutely-superficial-sequences-1402.5577"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-canonical-form-of-a-factor-of-monomial-ideals-1402.5826</loc><lastmod>2014-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-canonical-form-of-a-factor-of-monomial-ideals-1402.5826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-canonical-form-of-a-factor-of-monomial-ideals-1402.5826"/></url>
<url><loc>https://scifaro.com/en/abs/tame-decompositions-and-collisions-1402.5945</loc><lastmod>2014-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-decompositions-and-collisions-1402.5945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-decompositions-and-collisions-1402.5945"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-artinian-gorenstein-algebras-and-isolated-hypersurface-singularities-1402.6049</loc><lastmod>2014-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-artinian-gorenstein-algebras-and-isolated-hypersurface-singularities-1402.6049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-artinian-gorenstein-algebras-and-isolated-hypersurface-singularities-1402.6049"/></url>
<url><loc>https://scifaro.com/en/abs/zero-separating-invariants-for-linear-algebraic-groups-1402.6608</loc><lastmod>2014-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-separating-invariants-for-linear-algebraic-groups-1402.6608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-separating-invariants-for-linear-algebraic-groups-1402.6608"/></url>
<url><loc>https://scifaro.com/en/abs/smashing-localizations-of-rings-of-weak-global-dimension-at-most-one-1402.7294</loc><lastmod>2017-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/smashing-localizations-of-rings-of-weak-global-dimension-at-most-one-1402.7294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/smashing-localizations-of-rings-of-weak-global-dimension-at-most-one-1402.7294"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-finite-length-modules-and-random-curves-1403.0581</loc><lastmod>2014-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-finite-length-modules-and-random-curves-1403.0581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-finite-length-modules-and-random-curves-1403.0581"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-homology-relative-pure-homology-and-virtually-gorenstein-rings-1403.1155</loc><lastmod>2014-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-homology-relative-pure-homology-and-virtually-gorenstein-rings-1403.1155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-homology-relative-pure-homology-and-virtually-gorenstein-rings-1403.1155"/></url>
<url><loc>https://scifaro.com/en/abs/determinantal-schemes-and-pure-o-sequences-1403.1172</loc><lastmod>2014-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determinantal-schemes-and-pure-o-sequences-1403.1172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determinantal-schemes-and-pure-o-sequences-1403.1172"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-the-linearly-reductive-finite-subgroup-schemes-of-sl-2-1403.1324</loc><lastmod>2014-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-the-linearly-reductive-finite-subgroup-schemes-of-sl-2-1403.1324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-the-linearly-reductive-finite-subgroup-schemes-of-sl-2-1403.1324"/></url>
<url><loc>https://scifaro.com/en/abs/on-finitely-stable-domains-1403.1394</loc><lastmod>2020-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-finitely-stable-domains-1403.1394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-finitely-stable-domains-1403.1394"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-new-construction-of-pseudo-bl-algebras-1403.1545</loc><lastmod>2014-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-new-construction-of-pseudo-bl-algebras-1403.1545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-new-construction-of-pseudo-bl-algebras-1403.1545"/></url>
<url><loc>https://scifaro.com/en/abs/the-bhattacharya-function-of-complete-monomial-ideals-in-two-variables-1403.1681</loc><lastmod>2014-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-bhattacharya-function-of-complete-monomial-ideals-in-two-variables-1403.1681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-bhattacharya-function-of-complete-monomial-ideals-in-two-variables-1403.1681"/></url>
<url><loc>https://scifaro.com/en/abs/witt-kernels-of-quadratic-forms-for-multiquadratic-extensions-in-characteristic-2-1403.1802</loc><lastmod>2014-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/witt-kernels-of-quadratic-forms-for-multiquadratic-extensions-in-characteristic-2-1403.1802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/witt-kernels-of-quadratic-forms-for-multiquadratic-extensions-in-characteristic-2-1403.1802"/></url>
<url><loc>https://scifaro.com/en/abs/witt-kernels-and-brauer-kernels-for-quartic-extensions-in-characteristic-two-1403.3064</loc><lastmod>2014-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/witt-kernels-and-brauer-kernels-for-quartic-extensions-in-characteristic-two-1403.3064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/witt-kernels-and-brauer-kernels-for-quartic-extensions-in-characteristic-two-1403.3064"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-colored-quotient-rings-and-a-generalization-of-the-clements-lindstr-om-theorem-1403.3158</loc><lastmod>2014-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-colored-quotient-rings-and-a-generalization-of-the-clements-lindstr-om-theorem-1403.3158"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-colored-quotient-rings-and-a-generalization-of-the-clements-lindstr-om-theorem-1403.3158"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dual-graph-of-cohen-macaulay-algebras-1403.3241</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dual-graph-of-cohen-macaulay-algebras-1403.3241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dual-graph-of-cohen-macaulay-algebras-1403.3241"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-mixed-product-ideals-1403.3513</loc><lastmod>2014-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-mixed-product-ideals-1403.3513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-mixed-product-ideals-1403.3513"/></url>
<url><loc>https://scifaro.com/en/abs/additive-solvability-and-linear-independence-of-the-solutions-of-a-system-of-functional-equations-1403.3525</loc><lastmod>2014-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/additive-solvability-and-linear-independence-of-the-solutions-of-a-system-of-functional-equations-1403.3525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/additive-solvability-and-linear-independence-of-the-solutions-of-a-system-of-functional-equations-1403.3525"/></url>
<url><loc>https://scifaro.com/en/abs/computing-spectral-elimination-ideals-1403.3557</loc><lastmod>2014-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-spectral-elimination-ideals-1403.3557"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-spectral-elimination-ideals-1403.3557"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-rings-towards-a-theory-of-higher-dimension-1403.3599</loc><lastmod>2014-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-rings-towards-a-theory-of-higher-dimension-1403.3599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-rings-towards-a-theory-of-higher-dimension-1403.3599"/></url>
<url><loc>https://scifaro.com/en/abs/tannakian-categories-with-semigroup-actions-1403.3850</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tannakian-categories-with-semigroup-actions-1403.3850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tannakian-categories-with-semigroup-actions-1403.3850"/></url>
<url><loc>https://scifaro.com/en/abs/encoding-algebraic-power-series-1403.4104</loc><lastmod>2014-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/encoding-algebraic-power-series-1403.4104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/encoding-algebraic-power-series-1403.4104"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-quotients-of-the-rees-algebra-1403.4200</loc><lastmod>2014-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-quotients-of-the-rees-algebra-1403.4200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-quotients-of-the-rees-algebra-1403.4200"/></url>
<url><loc>https://scifaro.com/en/abs/linearly-related-polyominoes-1403.4349</loc><lastmod>2014-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearly-related-polyominoes-1403.4349"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearly-related-polyominoes-1403.4349"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-class-group-ii-enriched-descent-theorem-1403.4724</loc><lastmod>2014-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-class-group-ii-enriched-descent-theorem-1403.4724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-class-group-ii-enriched-descent-theorem-1403.4724"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-class-of-power-ideals-1403.4793</loc><lastmod>2018-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-class-of-power-ideals-1403.4793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-class-of-power-ideals-1403.4793"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-the-veronese-modules-1403.4796</loc><lastmod>2014-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-the-veronese-modules-1403.4796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-the-veronese-modules-1403.4796"/></url>
<url><loc>https://scifaro.com/en/abs/green-s-hyperplane-restriction-theorem-an-extension-to-modules-1403.4862</loc><lastmod>2014-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/green-s-hyperplane-restriction-theorem-an-extension-to-modules-1403.4862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/green-s-hyperplane-restriction-theorem-an-extension-to-modules-1403.4862"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-segre-transform-and-castelnuovo-mumford-regularity-1403.5692</loc><lastmod>2014-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-segre-transform-and-castelnuovo-mumford-regularity-1403.5692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-segre-transform-and-castelnuovo-mumford-regularity-1403.5692"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-for-nonsingular-projective-varieties-1403.5776</loc><lastmod>2014-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-for-nonsingular-projective-varieties-1403.5776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-for-nonsingular-projective-varieties-1403.5776"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-biequidimensionality-of-topological-spaces-and-noetherian-schemes-1403.5814</loc><lastmod>2014-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-biequidimensionality-of-topological-spaces-and-noetherian-schemes-1403.5814"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-biequidimensionality-of-topological-spaces-and-noetherian-schemes-1403.5814"/></url>
<url><loc>https://scifaro.com/en/abs/uber-rein-wesentliche-erweiterungen-1403.5957</loc><lastmod>2014-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-rein-wesentliche-erweiterungen-1403.5957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-rein-wesentliche-erweiterungen-1403.5957"/></url>
<url><loc>https://scifaro.com/en/abs/free-group-actions-on-varieties-and-the-category-of-modular-galois-extensions-for-finite-p-groups-1403.6037</loc><lastmod>2014-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-group-actions-on-varieties-and-the-category-of-modular-galois-extensions-for-finite-p-groups-1403.6037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-group-actions-on-varieties-and-the-category-of-modular-galois-extensions-for-finite-p-groups-1403.6037"/></url>
<url><loc>https://scifaro.com/en/abs/a-tight-bound-on-the-projective-dimension-of-four-quadrics-1403.6334</loc><lastmod>2017-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-tight-bound-on-the-projective-dimension-of-four-quadrics-1403.6334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-tight-bound-on-the-projective-dimension-of-four-quadrics-1403.6334"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-polynomials-of-j-transforms-1403.6549</loc><lastmod>2014-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-polynomials-of-j-transforms-1403.6549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-polynomials-of-j-transforms-1403.6549"/></url>
<url><loc>https://scifaro.com/en/abs/ring-extensions-invariant-under-group-action-1403.6733</loc><lastmod>2014-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-extensions-invariant-under-group-action-1403.6733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-extensions-invariant-under-group-action-1403.6733"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-balanced-polyominoes-1403.6920</loc><lastmod>2014-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-balanced-polyominoes-1403.6920"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-balanced-polyominoes-1403.6920"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-prime-divisors-over-complete-intersection-rings-1403.6972</loc><lastmod>2016-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-prime-divisors-over-complete-intersection-rings-1403.6972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-prime-divisors-over-complete-intersection-rings-1403.6972"/></url>
<url><loc>https://scifaro.com/en/abs/conditions-for-the-yoneda-algebra-of-a-local-ring-to-be-generated-in-low-degrees-1403.7240</loc><lastmod>2016-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditions-for-the-yoneda-algebra-of-a-local-ring-to-be-generated-in-low-degrees-1403.7240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditions-for-the-yoneda-algebra-of-a-local-ring-to-be-generated-in-low-degrees-1403.7240"/></url>
<url><loc>https://scifaro.com/en/abs/attached-primes-of-local-cohomology-modules-under-localization-and-completion-1404.0111</loc><lastmod>2014-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/attached-primes-of-local-cohomology-modules-under-localization-and-completion-1404.0111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/attached-primes-of-local-cohomology-modules-under-localization-and-completion-1404.0111"/></url>
<url><loc>https://scifaro.com/en/abs/boij-s-o-derberg-decompositions-of-lex-segment-ideals-1404.0118</loc><lastmod>2015-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boij-s-o-derberg-decompositions-of-lex-segment-ideals-1404.0118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boij-s-o-derberg-decompositions-of-lex-segment-ideals-1404.0118"/></url>
<url><loc>https://scifaro.com/en/abs/predicting-zero-reductions-in-gr-obner-basis-computations-1404.0161</loc><lastmod>2014-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/predicting-zero-reductions-in-gr-obner-basis-computations-1404.0161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/predicting-zero-reductions-in-gr-obner-basis-computations-1404.0161"/></url>
<url><loc>https://scifaro.com/en/abs/annihilation-of-cohomology-and-strong-generation-of-module-categories-1404.1476</loc><lastmod>2015-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilation-of-cohomology-and-strong-generation-of-module-categories-1404.1476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilation-of-cohomology-and-strong-generation-of-module-categories-1404.1476"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-valuations-of-complete-ideals-in-a-regular-local-ring-1404.1524</loc><lastmod>2014-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-valuations-of-complete-ideals-in-a-regular-local-ring-1404.1524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-valuations-of-complete-ideals-in-a-regular-local-ring-1404.1524"/></url>
<url><loc>https://scifaro.com/en/abs/on-additivity-of-local-entropy-under-flat-extensions-1404.1541</loc><lastmod>2014-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-additivity-of-local-entropy-under-flat-extensions-1404.1541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-additivity-of-local-entropy-under-flat-extensions-1404.1541"/></url>
<url><loc>https://scifaro.com/en/abs/deterministically-computing-reduction-numbers-of-polynomial-ideals-1404.1721</loc><lastmod>2014-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deterministically-computing-reduction-numbers-of-polynomial-ideals-1404.1721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deterministically-computing-reduction-numbers-of-polynomial-ideals-1404.1721"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-on-signature-based-gr-obner-basis-computations-1404.1774</loc><lastmod>2014-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-on-signature-based-gr-obner-basis-computations-1404.1774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-on-signature-based-gr-obner-basis-computations-1404.1774"/></url>
<url><loc>https://scifaro.com/en/abs/invertible-ideals-and-gaussian-semirings-1404.1901</loc><lastmod>2017-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invertible-ideals-and-gaussian-semirings-1404.1901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invertible-ideals-and-gaussian-semirings-1404.1901"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-linear-quotients-and-componentwise-support-linearity-1404.2165</loc><lastmod>2014-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-linear-quotients-and-componentwise-support-linearity-1404.2165"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-linear-quotients-and-componentwise-support-linearity-1404.2165"/></url>
<url><loc>https://scifaro.com/en/abs/excellent-normal-local-domains-and-extensions-of-krull-domains-1404.2307</loc><lastmod>2014-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/excellent-normal-local-domains-and-extensions-of-krull-domains-1404.2307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/excellent-normal-local-domains-and-extensions-of-krull-domains-1404.2307"/></url>
<url><loc>https://scifaro.com/en/abs/the-first-euler-characteristics-versus-the-homological-degrees-1404.2455</loc><lastmod>2014-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-first-euler-characteristics-versus-the-homological-degrees-1404.2455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-first-euler-characteristics-versus-the-homological-degrees-1404.2455"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-regularity-of-hibi-rings-1404.2554</loc><lastmod>2014-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-regularity-of-hibi-rings-1404.2554"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-regularity-of-hibi-rings-1404.2554"/></url>
<url><loc>https://scifaro.com/en/abs/position-vectors-of-numerical-semigroups-1404.2629</loc><lastmod>2014-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/position-vectors-of-numerical-semigroups-1404.2629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/position-vectors-of-numerical-semigroups-1404.2629"/></url>
<url><loc>https://scifaro.com/en/abs/formal-fibers-of-prime-ideals-in-polynomial-rings-1404.2641</loc><lastmod>2014-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formal-fibers-of-prime-ideals-in-polynomial-rings-1404.2641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formal-fibers-of-prime-ideals-in-polynomial-rings-1404.2641"/></url>
<url><loc>https://scifaro.com/en/abs/the-relation-type-of-affine-algebras-and-algebraic-varieties-1404.2755</loc><lastmod>2014-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-relation-type-of-affine-algebras-and-algebraic-varieties-1404.2755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-relation-type-of-affine-algebras-and-algebraic-varieties-1404.2755"/></url>
<url><loc>https://scifaro.com/en/abs/the-set-of-minimal-distances-in-krull-monoids-1404.2873</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-set-of-minimal-distances-in-krull-monoids-1404.2873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-set-of-minimal-distances-in-krull-monoids-1404.2873"/></url>
<url><loc>https://scifaro.com/en/abs/examples-of-non-noetherian-domains-inside-power-series-rings-1404.3319</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/examples-of-non-noetherian-domains-inside-power-series-rings-1404.3319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/examples-of-non-noetherian-domains-inside-power-series-rings-1404.3319"/></url>
<url><loc>https://scifaro.com/en/abs/fields-with-almost-small-absolute-galois-group-1404.3343</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fields-with-almost-small-absolute-galois-group-1404.3343"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fields-with-almost-small-absolute-galois-group-1404.3343"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-equidimensional-polymatroidal-ideals-1404.3483</loc><lastmod>2015-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-equidimensional-polymatroidal-ideals-1404.3483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-equidimensional-polymatroidal-ideals-1404.3483"/></url>
<url><loc>https://scifaro.com/en/abs/some-topological-considerations-on-semistar-operations-1404.3570</loc><lastmod>2014-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-topological-considerations-on-semistar-operations-1404.3570"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-topological-considerations-on-semistar-operations-1404.3570"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-thresholds-of-homogeneous-polynomials-1404.3772</loc><lastmod>2014-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-thresholds-of-homogeneous-polynomials-1404.3772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-thresholds-of-homogeneous-polynomials-1404.3772"/></url>
<url><loc>https://scifaro.com/en/abs/n-coherence-and-n-d-properties-in-amalgamated-algebra-1404.3790</loc><lastmod>2014-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-coherence-and-n-d-properties-in-amalgamated-algebra-1404.3790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-coherence-and-n-d-properties-in-amalgamated-algebra-1404.3790"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-property-in-amalgamated-algebras-along-an-ideal-1404.3793</loc><lastmod>2014-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-property-in-amalgamated-algebras-along-an-ideal-1404.3793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-property-in-amalgamated-algebras-along-an-ideal-1404.3793"/></url>
<url><loc>https://scifaro.com/en/abs/self-injective-property-in-amalgamated-algebra-along-an-ideal-1404.3796</loc><lastmod>2014-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/self-injective-property-in-amalgamated-algebra-along-an-ideal-1404.3796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/self-injective-property-in-amalgamated-algebra-along-an-ideal-1404.3796"/></url>
<url><loc>https://scifaro.com/en/abs/the-algebraic-theory-of-valued-fields-1404.3916</loc><lastmod>2014-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-algebraic-theory-of-valued-fields-1404.3916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-algebraic-theory-of-valued-fields-1404.3916"/></url>
<url><loc>https://scifaro.com/en/abs/interplay-between-homological-dimensions-of-a-complex-and-its-right-derived-section-1404.3982</loc><lastmod>2016-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/interplay-between-homological-dimensions-of-a-complex-and-its-right-derived-section-1404.3982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/interplay-between-homological-dimensions-of-a-complex-and-its-right-derived-section-1404.3982"/></url>
<url><loc>https://scifaro.com/en/abs/gaussian-property-in-amalgamated-algebras-along-an-ideal-1404.4045</loc><lastmod>2014-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gaussian-property-in-amalgamated-algebras-along-an-ideal-1404.4045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gaussian-property-in-amalgamated-algebras-along-an-ideal-1404.4045"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-and-generalized-test-ideals-of-determinantal-ideals-of-maximal-minors-1404.4216</loc><lastmod>2014-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-and-generalized-test-ideals-of-determinantal-ideals-of-maximal-minors-1404.4216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-and-generalized-test-ideals-of-determinantal-ideals-of-maximal-minors-1404.4216"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-graded-rings-and-modules-1404.4279</loc><lastmod>2017-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-graded-rings-and-modules-1404.4279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-graded-rings-and-modules-1404.4279"/></url>
<url><loc>https://scifaro.com/en/abs/singularities-of-locally-acyclic-cluster-algebras-1404.4399</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singularities-of-locally-acyclic-cluster-algebras-1404.4399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singularities-of-locally-acyclic-cluster-algebras-1404.4399"/></url>
<url><loc>https://scifaro.com/en/abs/sectional-genera-of-parameter-ideals-1404.4680</loc><lastmod>2014-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sectional-genera-of-parameter-ideals-1404.4680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sectional-genera-of-parameter-ideals-1404.4680"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-star-configuration-in-mathbb-p-n-1404.4724</loc><lastmod>2014-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-star-configuration-in-mathbb-p-n-1404.4724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-star-configuration-in-mathbb-p-n-1404.4724"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-descent-algebra-of-weyl-groups-of-type-an-1404.4750</loc><lastmod>2014-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-descent-algebra-of-weyl-groups-of-type-an-1404.4750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-descent-algebra-of-weyl-groups-of-type-an-1404.4750"/></url>
<url><loc>https://scifaro.com/en/abs/the-analogue-of-izumi-s-theorem-for-abhyankar-valuations-1404.4885</loc><lastmod>2014-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-analogue-of-izumi-s-theorem-for-abhyankar-valuations-1404.4885"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-analogue-of-izumi-s-theorem-for-abhyankar-valuations-1404.4885"/></url>
<url><loc>https://scifaro.com/en/abs/one-half-of-almost-symmetric-numerical-semigroups-1404.4959</loc><lastmod>2014-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-half-of-almost-symmetric-numerical-semigroups-1404.4959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-half-of-almost-symmetric-numerical-semigroups-1404.4959"/></url>
<url><loc>https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-sectional-genera-of-ideals-1404.5026</loc><lastmod>2014-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-sectional-genera-of-ideals-1404.5026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-sectional-genera-of-ideals-1404.5026"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-witt-vectors-of-perfect-rings-in-positive-characteristic-1404.5147</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-witt-vectors-of-perfect-rings-in-positive-characteristic-1404.5147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-witt-vectors-of-perfect-rings-in-positive-characteristic-1404.5147"/></url>
<url><loc>https://scifaro.com/en/abs/the-degrees-of-a-system-of-parameters-of-the-ring-of-invariants-of-a-binary-form-1404.5722</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-degrees-of-a-system-of-parameters-of-the-ring-of-invariants-of-a-binary-form-1404.5722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-degrees-of-a-system-of-parameters-of-the-ring-of-invariants-of-a-binary-form-1404.5722"/></url>
<url><loc>https://scifaro.com/en/abs/f-threshold-functions-syzygy-gap-fractals-and-the-two-variable-homogeneous-case-1404.5871</loc><lastmod>2016-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-threshold-functions-syzygy-gap-fractals-and-the-two-variable-homogeneous-case-1404.5871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-threshold-functions-syzygy-gap-fractals-and-the-two-variable-homogeneous-case-1404.5871"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-1404.6010</loc><lastmod>2014-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-1404.6010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-monomial-ideals-1404.6010"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-and-divisibility-1404.6215</loc><lastmod>2020-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-and-divisibility-1404.6215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-and-divisibility-1404.6215"/></url>
<url><loc>https://scifaro.com/en/abs/lifting-markov-bases-and-higher-codimension-toric-fiber-products-1404.6392</loc><lastmod>2015-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lifting-markov-bases-and-higher-codimension-toric-fiber-products-1404.6392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lifting-markov-bases-and-higher-codimension-toric-fiber-products-1404.6392"/></url>
<url><loc>https://scifaro.com/en/abs/subintegrality-invertible-modules-and-laurent-polynomial-extensions-1404.6498</loc><lastmod>2014-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subintegrality-invertible-modules-and-laurent-polynomial-extensions-1404.6498"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subintegrality-invertible-modules-and-laurent-polynomial-extensions-1404.6498"/></url>
<url><loc>https://scifaro.com/en/abs/melkersson-condition-on-serre-subcategories-1404.6711</loc><lastmod>2014-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/melkersson-condition-on-serre-subcategories-1404.6711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/melkersson-condition-on-serre-subcategories-1404.6711"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-dimensional-mixed-characteristic-rings-of-finite-cohen-macaulay-type-1404.6939</loc><lastmod>2014-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-dimensional-mixed-characteristic-rings-of-finite-cohen-macaulay-type-1404.6939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-dimensional-mixed-characteristic-rings-of-finite-cohen-macaulay-type-1404.6939"/></url>
<url><loc>https://scifaro.com/en/abs/a-semigroup-theoretical-view-of-direct-sum-decompositions-and-associated-combinatorial-problems-1404.7264</loc><lastmod>2015-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-semigroup-theoretical-view-of-direct-sum-decompositions-and-associated-combinatorial-problems-1404.7264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-semigroup-theoretical-view-of-direct-sum-decompositions-and-associated-combinatorial-problems-1404.7264"/></url>
<url><loc>https://scifaro.com/en/abs/cones-of-hilbert-functions-1404.7341</loc><lastmod>2016-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cones-of-hilbert-functions-1404.7341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cones-of-hilbert-functions-1404.7341"/></url>
<url><loc>https://scifaro.com/en/abs/gr-o-bner-basis-theory-for-modules-over-polynomial-rings-over-fields-with-valuation-1404.7379</loc><lastmod>2014-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-o-bner-basis-theory-for-modules-over-polynomial-rings-over-fields-with-valuation-1404.7379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-o-bner-basis-theory-for-modules-over-polynomial-rings-over-fields-with-valuation-1404.7379"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-and-rational-normal-scrolls-1404.7602</loc><lastmod>2014-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-and-rational-normal-scrolls-1404.7602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-and-rational-normal-scrolls-1404.7602"/></url>
<url><loc>https://scifaro.com/en/abs/the-ubiquity-of-sylvester-forms-in-almost-complete-intersections-1405.0531</loc><lastmod>2014-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ubiquity-of-sylvester-forms-in-almost-complete-intersections-1405.0531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ubiquity-of-sylvester-forms-in-almost-complete-intersections-1405.0531"/></url>
<url><loc>https://scifaro.com/en/abs/friezes-of-type-d-1405.0548</loc><lastmod>2014-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/friezes-of-type-d-1405.0548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/friezes-of-type-d-1405.0548"/></url>
<url><loc>https://scifaro.com/en/abs/a-root-parametrized-differential-equation-for-the-special-linear-group-1405.0925</loc><lastmod>2016-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-root-parametrized-differential-equation-for-the-special-linear-group-1405.0925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-root-parametrized-differential-equation-for-the-special-linear-group-1405.0925"/></url>
<url><loc>https://scifaro.com/en/abs/the-vandermonde-determinant-identity-in-higher-dimension-1405.0993</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-vandermonde-determinant-identity-in-higher-dimension-1405.0993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-vandermonde-determinant-identity-in-higher-dimension-1405.0993"/></url>
<url><loc>https://scifaro.com/en/abs/friezes-of-type-d-tilde-1405.1023</loc><lastmod>2014-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/friezes-of-type-d-tilde-1405.1023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/friezes-of-type-d-tilde-1405.1023"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-of-reducibility-in-noetherian-modules-1405.1136</loc><lastmod>2015-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-in-noetherian-modules-1405.1136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-in-noetherian-modules-1405.1136"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-endomorphisms-of-local-cohomology-modules-1405.1249</loc><lastmod>2014-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-endomorphisms-of-local-cohomology-modules-1405.1249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-endomorphisms-of-local-cohomology-modules-1405.1249"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-rees-theorem-and-two-interpretations-of-a-vector-in-the-joint-reduction-lattice-1405.1550</loc><lastmod>2022-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-rees-theorem-and-two-interpretations-of-a-vector-in-the-joint-reduction-lattice-1405.1550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-rees-theorem-and-two-interpretations-of-a-vector-in-the-joint-reduction-lattice-1405.1550"/></url>
<url><loc>https://scifaro.com/en/abs/how-do-you-measure-primality-1405.1714</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-do-you-measure-primality-1405.1714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-do-you-measure-primality-1405.1714"/></url>
<url><loc>https://scifaro.com/en/abs/the-ohm-rush-content-function-1405.3000</loc><lastmod>2015-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ohm-rush-content-function-1405.3000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ohm-rush-content-function-1405.3000"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-and-the-lcm-lattice-1405.3602</loc><lastmod>2017-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-and-the-lcm-lattice-1405.3602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-and-the-lcm-lattice-1405.3602"/></url>
<url><loc>https://scifaro.com/en/abs/crit-ere-d-existence-d-idempotent-bas-e-sur-les-alg-ebres-de-r-etrocroisement-1405.4236</loc><lastmod>2014-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/crit-ere-d-existence-d-idempotent-bas-e-sur-les-alg-ebres-de-r-etrocroisement-1405.4236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/crit-ere-d-existence-d-idempotent-bas-e-sur-les-alg-ebres-de-r-etrocroisement-1405.4236"/></url>
<url><loc>https://scifaro.com/en/abs/on-catalecticant-perfect-ideals-of-codimension-2-1405.4317</loc><lastmod>2014-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-catalecticant-perfect-ideals-of-codimension-2-1405.4317"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-catalecticant-perfect-ideals-of-codimension-2-1405.4317"/></url>
<url><loc>https://scifaro.com/en/abs/endofunctors-of-singularity-categories-characterizing-gorenstein-rings-1405.4453</loc><lastmod>2014-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/endofunctors-of-singularity-categories-characterizing-gorenstein-rings-1405.4453"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/endofunctors-of-singularity-categories-characterizing-gorenstein-rings-1405.4453"/></url>
<url><loc>https://scifaro.com/en/abs/residual-intersections-and-the-annihilator-of-koszul-homologies-1405.4586</loc><lastmod>2016-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-intersections-and-the-annihilator-of-koszul-homologies-1405.4586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-intersections-and-the-annihilator-of-koszul-homologies-1405.4586"/></url>
<url><loc>https://scifaro.com/en/abs/fibers-of-flat-morphisms-and-weierstrass-preparation-theorem-1405.4627</loc><lastmod>2016-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fibers-of-flat-morphisms-and-weierstrass-preparation-theorem-1405.4627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fibers-of-flat-morphisms-and-weierstrass-preparation-theorem-1405.4627"/></url>
<url><loc>https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-homological-torsions-of-parameters-1405.4798</loc><lastmod>2014-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-homological-torsions-of-parameters-1405.4798"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-second-hilbert-coefficients-and-the-homological-torsions-of-parameters-1405.4798"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-in-sl-n-r-with-elementary-matrices-when-r-is-the-disk-algebra-and-the-wiener-algebra-1405.5006</loc><lastmod>2014-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-in-sl-n-r-with-elementary-matrices-when-r-is-the-disk-algebra-and-the-wiener-algebra-1405.5006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-in-sl-n-r-with-elementary-matrices-when-r-is-the-disk-algebra-and-the-wiener-algebra-1405.5006"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-of-rigid-modules-1405.5188</loc><lastmod>2019-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-of-rigid-modules-1405.5188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-of-rigid-modules-1405.5188"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-hilbert-functions-for-macaulay2-1405.5293</loc><lastmod>2014-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-hilbert-functions-for-macaulay2-1405.5293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-hilbert-functions-for-macaulay2-1405.5293"/></url>
<url><loc>https://scifaro.com/en/abs/two-lower-bounds-for-the-stanley-depth-of-monomial-ideals-1405.5450</loc><lastmod>2014-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-lower-bounds-for-the-stanley-depth-of-monomial-ideals-1405.5450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-lower-bounds-for-the-stanley-depth-of-monomial-ideals-1405.5450"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-1405.5452</loc><lastmod>2014-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-1405.5452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-weakly-polymatroidal-ideals-1405.5452"/></url>
<url><loc>https://scifaro.com/en/abs/pseudo-equality-algebras-revision-1405.5807</loc><lastmod>2014-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pseudo-equality-algebras-revision-1405.5807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pseudo-equality-algebras-revision-1405.5807"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-linear-bounds-of-castelnuovo-mumford-regularity-in-multigraded-modules-1405.5970</loc><lastmod>2015-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-linear-bounds-of-castelnuovo-mumford-regularity-in-multigraded-modules-1405.5970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-linear-bounds-of-castelnuovo-mumford-regularity-in-multigraded-modules-1405.5970"/></url>
<url><loc>https://scifaro.com/en/abs/an-affine-version-of-a-theorem-of-nagata-1405.6105</loc><lastmod>2015-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-affine-version-of-a-theorem-of-nagata-1405.6105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-affine-version-of-a-theorem-of-nagata-1405.6105"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-quiver-determinantal-varieties-1405.6468</loc><lastmod>2015-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-quiver-determinantal-varieties-1405.6468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-quiver-determinantal-varieties-1405.6468"/></url>
<url><loc>https://scifaro.com/en/abs/bott-type-periodicity-for-the-higher-octonions-1405.6521</loc><lastmod>2014-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bott-type-periodicity-for-the-higher-octonions-1405.6521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bott-type-periodicity-for-the-higher-octonions-1405.6521"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-monomial-ideals-that-fail-the-persistence-property-and-non-increasing-depth-1405.6809</loc><lastmod>2014-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-that-fail-the-persistence-property-and-non-increasing-depth-1405.6809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-that-fail-the-persistence-property-and-non-increasing-depth-1405.6809"/></url>
<url><loc>https://scifaro.com/en/abs/pseudo-gorenstein-and-level-hibi-rings-1405.6963</loc><lastmod>2014-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pseudo-gorenstein-and-level-hibi-rings-1405.6963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pseudo-gorenstein-and-level-hibi-rings-1405.6963"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-the-length-function-of-generalized-fractions-of-modules-1405.7240</loc><lastmod>2014-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-the-length-function-of-generalized-fractions-of-modules-1405.7240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-the-length-function-of-generalized-fractions-of-modules-1405.7240"/></url>
<url><loc>https://scifaro.com/en/abs/uniformly-cohen-macaulay-simplicial-complexes-and-almost-gorenstein-simplicial-complexes-1405.7438</loc><lastmod>2016-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniformly-cohen-macaulay-simplicial-complexes-and-almost-gorenstein-simplicial-complexes-1405.7438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniformly-cohen-macaulay-simplicial-complexes-and-almost-gorenstein-simplicial-complexes-1405.7438"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-delta-sets-of-numerical-monoids-1406.0280</loc><lastmod>2014-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-delta-sets-of-numerical-monoids-1406.0280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-delta-sets-of-numerical-monoids-1406.0280"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-powers-of-edge-ideals-1406.0456</loc><lastmod>2014-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-powers-of-edge-ideals-1406.0456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-powers-of-edge-ideals-1406.0456"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-hypersurfaces-over-the-exterior-algebras-1406.0489</loc><lastmod>2014-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-hypersurfaces-over-the-exterior-algebras-1406.0489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-hypersurfaces-over-the-exterior-algebras-1406.0489"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-properties-of-patial-sums-1406.1168</loc><lastmod>2014-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-properties-of-patial-sums-1406.1168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-properties-of-patial-sums-1406.1168"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1406.1323</loc><lastmod>2014-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1406.1323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-1406.1323"/></url>
<url><loc>https://scifaro.com/en/abs/depth-in-a-pathological-case-1406.1398</loc><lastmod>2015-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-in-a-pathological-case-1406.1398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-in-a-pathological-case-1406.1398"/></url>
<url><loc>https://scifaro.com/en/abs/propagating-weights-of-tori-along-free-resolutions-1406.1900</loc><lastmod>2017-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/propagating-weights-of-tori-along-free-resolutions-1406.1900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/propagating-weights-of-tori-along-free-resolutions-1406.1900"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-and-gorenstein-properties-under-the-amalgamated-construction-1406.2145</loc><lastmod>2014-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-and-gorenstein-properties-under-the-amalgamated-construction-1406.2145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-and-gorenstein-properties-under-the-amalgamated-construction-1406.2145"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-koszulness-of-multi-rees-algebras-of-certain-strongly-stable-ideals-1406.2188</loc><lastmod>2014-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-koszulness-of-multi-rees-algebras-of-certain-strongly-stable-ideals-1406.2188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-koszulness-of-multi-rees-algebras-of-certain-strongly-stable-ideals-1406.2188"/></url>
<url><loc>https://scifaro.com/en/abs/examples-of-non-commutative-crepant-resolutions-of-cohen-macaulay-normal-domains-1406.2540</loc><lastmod>2014-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/examples-of-non-commutative-crepant-resolutions-of-cohen-macaulay-normal-domains-1406.2540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/examples-of-non-commutative-crepant-resolutions-of-cohen-macaulay-normal-domains-1406.2540"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-samuel-multiplicity-of-a-bipartite-graph-1406.2603</loc><lastmod>2014-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-samuel-multiplicity-of-a-bipartite-graph-1406.2603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-samuel-multiplicity-of-a-bipartite-graph-1406.2603"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-artin-rees-bounds-for-syzygies-1406.2866</loc><lastmod>2014-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-artin-rees-bounds-for-syzygies-1406.2866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-artin-rees-bounds-for-syzygies-1406.2866"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-rees-algebras-1406.3423</loc><lastmod>2015-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-rees-algebras-1406.3423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-rees-algebras-1406.3423"/></url>
<url><loc>https://scifaro.com/en/abs/a-counterexample-to-weitzenb-ock-s-theorem-in-characteristic-p-1406.4113</loc><lastmod>2020-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counterexample-to-weitzenb-ock-s-theorem-in-characteristic-p-1406.4113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counterexample-to-weitzenb-ock-s-theorem-in-characteristic-p-1406.4113"/></url>
<url><loc>https://scifaro.com/en/abs/local-zero-estimates-and-effective-division-in-rings-of-algebraic-power-series-1406.4634</loc><lastmod>2015-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-zero-estimates-and-effective-division-in-rings-of-algebraic-power-series-1406.4634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-zero-estimates-and-effective-division-in-rings-of-algebraic-power-series-1406.4634"/></url>
<url><loc>https://scifaro.com/en/abs/the-markov-basis-of-k-3-n-1406.5936</loc><lastmod>2014-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-markov-basis-of-k-3-n-1406.5936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-markov-basis-of-k-3-n-1406.5936"/></url>
<url><loc>https://scifaro.com/en/abs/degree-of-reductivity-of-a-modular-representation-1406.6299</loc><lastmod>2017-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-of-reductivity-of-a-modular-representation-1406.6299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-of-reductivity-of-a-modular-representation-1406.6299"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-ideals-of-minors-meeting-a-submatrix-1406.6426</loc><lastmod>2015-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-ideals-of-minors-meeting-a-submatrix-1406.6426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-ideals-of-minors-meeting-a-submatrix-1406.6426"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-associated-with-gap-free-graphs-1406.6634</loc><lastmod>2020-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-associated-with-gap-free-graphs-1406.6634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-associated-with-gap-free-graphs-1406.6634"/></url>
<url><loc>https://scifaro.com/en/abs/consimilarity-of-split-quaternion-matrices-and-a-solution-of-the-split-quaternion-matrix-equation-x-ax-b-c-1406.7241</loc><lastmod>2019-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/consimilarity-of-split-quaternion-matrices-and-a-solution-of-the-split-quaternion-matrix-equation-x-ax-b-c-1406.7241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/consimilarity-of-split-quaternion-matrices-and-a-solution-of-the-split-quaternion-matrix-equation-x-ax-b-c-1406.7241"/></url>
<url><loc>https://scifaro.com/en/abs/on-natural-homomorphisms-of-local-cohomology-modules-1406.7461</loc><lastmod>2014-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-natural-homomorphisms-of-local-cohomology-modules-1406.7461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-natural-homomorphisms-of-local-cohomology-modules-1406.7461"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-on-the-lyubeznik-numbers-1406.7590</loc><lastmod>2014-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-on-the-lyubeznik-numbers-1406.7590"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-on-the-lyubeznik-numbers-1406.7590"/></url>
<url><loc>https://scifaro.com/en/abs/decomposing-gorenstein-rings-as-connected-sums-1406.7600</loc><lastmod>2017-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposing-gorenstein-rings-as-connected-sums-1406.7600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposing-gorenstein-rings-as-connected-sums-1406.7600"/></url>
<url><loc>https://scifaro.com/en/abs/injective-modules-under-faithfully-flat-ring-extensions-1406.7791</loc><lastmod>2015-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/injective-modules-under-faithfully-flat-ring-extensions-1406.7791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/injective-modules-under-faithfully-flat-ring-extensions-1406.7791"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-of-finite-projective-dimension-1407.0096</loc><lastmod>2014-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-of-finite-projective-dimension-1407.0096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-of-finite-projective-dimension-1407.0096"/></url>
<url><loc>https://scifaro.com/en/abs/cohomologically-complete-intersections-with-vanishing-of-betti-numbers-1407.0472</loc><lastmod>2014-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomologically-complete-intersections-with-vanishing-of-betti-numbers-1407.0472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomologically-complete-intersections-with-vanishing-of-betti-numbers-1407.0472"/></url>
<url><loc>https://scifaro.com/en/abs/the-catenary-degree-of-krull-monoids-ii-1407.0548</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-catenary-degree-of-krull-monoids-ii-1407.0548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-catenary-degree-of-krull-monoids-ii-1407.0548"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-over-noetherian-rings-1407.0559</loc><lastmod>2014-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-over-noetherian-rings-1407.0559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-finiteness-of-local-cohomology-modules-over-noetherian-rings-1407.0559"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-functions-of-sets-of-points-in-p-1-x-p-1-x-p-1-1407.0650</loc><lastmod>2015-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-functions-of-sets-of-points-in-p-1-x-p-1-x-p-1-1407.0650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-functions-of-sets-of-points-in-p-1-x-p-1-x-p-1-1407.0650"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-with-applications-to-joint-reductions-and-complete-ideals-1407.1493</loc><lastmod>2014-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-with-applications-to-joint-reductions-and-complete-ideals-1407.1493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-with-applications-to-joint-reductions-and-complete-ideals-1407.1493"/></url>
<url><loc>https://scifaro.com/en/abs/good-ideals-and-p-g-ideals-in-two-dimensional-normal-singularities-1407.1590</loc><lastmod>2025-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/good-ideals-and-p-g-ideals-in-two-dimensional-normal-singularities-1407.1590"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/good-ideals-and-p-g-ideals-in-two-dimensional-normal-singularities-1407.1590"/></url>
<url><loc>https://scifaro.com/en/abs/two-sided-ideals-in-the-ring-of-differential-operators-on-a-stanley-reisner-ring-1407.1643</loc><lastmod>2014-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-sided-ideals-in-the-ring-of-differential-operators-on-a-stanley-reisner-ring-1407.1643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-sided-ideals-in-the-ring-of-differential-operators-on-a-stanley-reisner-ring-1407.1643"/></url>
<url><loc>https://scifaro.com/en/abs/the-system-of-sets-of-lengths-in-krull-monoids-under-set-addition-1407.1967</loc><lastmod>2015-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-system-of-sets-of-lengths-in-krull-monoids-under-set-addition-1407.1967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-system-of-sets-of-lengths-in-krull-monoids-under-set-addition-1407.1967"/></url>
<url><loc>https://scifaro.com/en/abs/coefficients-for-higher-order-hochschild-cohomology-1407.2476</loc><lastmod>2015-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coefficients-for-higher-order-hochschild-cohomology-1407.2476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coefficients-for-higher-order-hochschild-cohomology-1407.2476"/></url>
<url><loc>https://scifaro.com/en/abs/toward-an-efficient-algorithm-for-deciding-the-vanishing-of-local-cohomology-modules-in-prime-characteristic-1407.2583</loc><lastmod>2014-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toward-an-efficient-algorithm-for-deciding-the-vanishing-of-local-cohomology-modules-in-prime-characteristic-1407.2583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toward-an-efficient-algorithm-for-deciding-the-vanishing-of-local-cohomology-modules-in-prime-characteristic-1407.2583"/></url>
<url><loc>https://scifaro.com/en/abs/resultant-of-an-equivariant-polynomial-system-with-respect-to-the-symmetric-group-1407.2799</loc><lastmod>2014-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resultant-of-an-equivariant-polynomial-system-with-respect-to-the-symmetric-group-1407.2799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resultant-of-an-equivariant-polynomial-system-with-respect-to-the-symmetric-group-1407.2799"/></url>
<url><loc>https://scifaro.com/en/abs/survey-on-counting-special-types-of-polynomials-1407.2970</loc><lastmod>2014-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/survey-on-counting-special-types-of-polynomials-1407.2970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/survey-on-counting-special-types-of-polynomials-1407.2970"/></url>
<url><loc>https://scifaro.com/en/abs/prime-filtrations-of-the-powers-of-an-ideal-1407.3320</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-filtrations-of-the-powers-of-an-ideal-1407.3320"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-filtrations-of-the-powers-of-an-ideal-1407.3320"/></url>
<url><loc>https://scifaro.com/en/abs/localization-at-countably-infinitely-many-prime-ideals-and-applications-1407.3472</loc><lastmod>2015-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localization-at-countably-infinitely-many-prime-ideals-and-applications-1407.3472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localization-at-countably-infinitely-many-prime-ideals-and-applications-1407.3472"/></url>
<url><loc>https://scifaro.com/en/abs/corrections-and-notes-for-the-paper-value-groups-residue-fields-and-bad-places-of-rational-function-field-arxiv-1003-5685-1407.3760</loc><lastmod>2014-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/corrections-and-notes-for-the-paper-value-groups-residue-fields-and-bad-places-of-rational-function-field-arxiv-1003-5685-1407.3760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/corrections-and-notes-for-the-paper-value-groups-residue-fields-and-bad-places-of-rational-function-field-arxiv-1003-5685-1407.3760"/></url>
<url><loc>https://scifaro.com/en/abs/when-does-depth-stabilize-early-on-1407.3967</loc><lastmod>2015-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-does-depth-stabilize-early-on-1407.3967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-does-depth-stabilize-early-on-1407.3967"/></url>
<url><loc>https://scifaro.com/en/abs/on-decomposing-betti-tables-and-o-sequences-1407.4085</loc><lastmod>2014-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-decomposing-betti-tables-and-o-sequences-1407.4085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-decomposing-betti-tables-and-o-sequences-1407.4085"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-limit-of-frobenius-in-the-grothendieck-group-1407.4159</loc><lastmod>2014-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-limit-of-frobenius-in-the-grothendieck-group-1407.4159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-limit-of-frobenius-in-the-grothendieck-group-1407.4159"/></url>
<url><loc>https://scifaro.com/en/abs/test-multiplier-and-invariant-ideals-1407.4324</loc><lastmod>2014-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-multiplier-and-invariant-ideals-1407.4324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-multiplier-and-invariant-ideals-1407.4324"/></url>
<url><loc>https://scifaro.com/en/abs/dual-f-signature-of-cohen-macaulay-modules-over-rational-double-points-1407.5230</loc><lastmod>2015-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-f-signature-of-cohen-macaulay-modules-over-rational-double-points-1407.5230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-f-signature-of-cohen-macaulay-modules-over-rational-double-points-1407.5230"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-eisenbud-mazur-conjecture-1407.5316</loc><lastmod>2014-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-eisenbud-mazur-conjecture-1407.5316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-eisenbud-mazur-conjecture-1407.5316"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-strings-and-cycles-1407.5571</loc><lastmod>2014-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-strings-and-cycles-1407.5571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-strings-and-cycles-1407.5571"/></url>
<url><loc>https://scifaro.com/en/abs/the-betti-poset-in-monomial-resolutions-1407.5702</loc><lastmod>2014-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-betti-poset-in-monomial-resolutions-1407.5702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-betti-poset-in-monomial-resolutions-1407.5702"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-functions-of-a-hirzebruch-surface-1407.6120</loc><lastmod>2015-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-a-hirzebruch-surface-1407.6120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-a-hirzebruch-surface-1407.6120"/></url>
<url><loc>https://scifaro.com/en/abs/a-theorem-about-cremona-maps-and-symbolic-rees-algebras-1407.6443</loc><lastmod>2014-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-theorem-about-cremona-maps-and-symbolic-rees-algebras-1407.6443"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-theorem-about-cremona-maps-and-symbolic-rees-algebras-1407.6443"/></url>
<url><loc>https://scifaro.com/en/abs/upper-semi-continuity-of-the-hilbert-kunz-multiplicity-1407.6476</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-semi-continuity-of-the-hilbert-kunz-multiplicity-1407.6476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-semi-continuity-of-the-hilbert-kunz-multiplicity-1407.6476"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-modules-and-the-serre-conditions-1407.6544</loc><lastmod>2015-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-modules-and-the-serre-conditions-1407.6544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-modules-and-the-serre-conditions-1407.6544"/></url>
<url><loc>https://scifaro.com/en/abs/noncoherent-initial-ideals-in-exterior-algebras-1407.6676</loc><lastmod>2014-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noncoherent-initial-ideals-in-exterior-algebras-1407.6676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noncoherent-initial-ideals-in-exterior-algebras-1407.6676"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-in-certain-affine-and-projective-monomial-curves-1407.7007</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-in-certain-affine-and-projective-monomial-curves-1407.7007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-in-certain-affine-and-projective-monomial-curves-1407.7007"/></url>
<url><loc>https://scifaro.com/en/abs/bi-amalgamated-algebras-along-ideals-1407.7074</loc><lastmod>2014-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-amalgamated-algebras-along-ideals-1407.7074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-amalgamated-algebras-along-ideals-1407.7074"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-mathfrak-s-n-stable-artinian-gorenstein-algebras-1407.7228</loc><lastmod>2016-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-mathfrak-s-n-stable-artinian-gorenstein-algebras-1407.7228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-mathfrak-s-n-stable-artinian-gorenstein-algebras-1407.7228"/></url>
<url><loc>https://scifaro.com/en/abs/homaloidal-determinants-1407.8089</loc><lastmod>2014-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homaloidal-determinants-1407.8089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homaloidal-determinants-1407.8089"/></url>
<url><loc>https://scifaro.com/en/abs/matroid-toric-ideals-complete-intersection-minors-and-minimal-systems-of-generators-1408.0419</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matroid-toric-ideals-complete-intersection-minors-and-minimal-systems-of-generators-1408.0419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matroid-toric-ideals-complete-intersection-minors-and-minimal-systems-of-generators-1408.0419"/></url>
<url><loc>https://scifaro.com/en/abs/on-functors-that-detect-s-n-1408.0667</loc><lastmod>2014-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-functors-that-detect-s-n-1408.0667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-functors-that-detect-s-n-1408.0667"/></url>
<url><loc>https://scifaro.com/en/abs/the-category-of-maximal-cohen-macaulay-modules-as-a-ring-with-several-objects-1408.0691</loc><lastmod>2014-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-category-of-maximal-cohen-macaulay-modules-as-a-ring-with-several-objects-1408.0691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-category-of-maximal-cohen-macaulay-modules-as-a-ring-with-several-objects-1408.0691"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-a-theorem-of-hartshorne-1408.0858</loc><lastmod>2014-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-a-theorem-of-hartshorne-1408.0858"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-a-theorem-of-hartshorne-1408.0858"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-dimensions-over-some-rings-of-the-form-r-oplus-c-1408.1123</loc><lastmod>2019-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-dimensions-over-some-rings-of-the-form-r-oplus-c-1408.1123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-dimensions-over-some-rings-of-the-form-r-oplus-c-1408.1123"/></url>
<url><loc>https://scifaro.com/en/abs/path-ideals-of-weighted-graphs-1408.1674</loc><lastmod>2014-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/path-ideals-of-weighted-graphs-1408.1674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/path-ideals-of-weighted-graphs-1408.1674"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-perfect-fields-1408.2410</loc><lastmod>2014-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-perfect-fields-1408.2410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-perfect-fields-1408.2410"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-edge-ideals-of-regularity-three-bipartite-graphs-1408.2557</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-edge-ideals-of-regularity-three-bipartite-graphs-1408.2557"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-edge-ideals-of-regularity-three-bipartite-graphs-1408.2557"/></url>
<url><loc>https://scifaro.com/en/abs/serre-dimension-and-euler-class-group-of-overrings-of-polynomial-rings-1408.2618</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/serre-dimension-and-euler-class-group-of-overrings-of-polynomial-rings-1408.2618"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/serre-dimension-and-euler-class-group-of-overrings-of-polynomial-rings-1408.2618"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-and-a-question-of-quillen-1408.2619</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-and-a-question-of-quillen-1408.2619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-overrings-of-polynomial-rings-and-a-question-of-quillen-1408.2619"/></url>
<url><loc>https://scifaro.com/en/abs/a-question-of-nori-segre-classes-of-ideals-and-other-applications-1408.2635</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-question-of-nori-segre-classes-of-ideals-and-other-applications-1408.2635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-question-of-nori-segre-classes-of-ideals-and-other-applications-1408.2635"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-ideals-and-a-question-of-nori-1408.2643</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-ideals-and-a-question-of-nori-1408.2643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-ideals-and-a-question-of-nori-1408.2643"/></url>
<url><loc>https://scifaro.com/en/abs/euler-class-group-of-a-noetherian-ring-1408.2645</loc><lastmod>2014-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/euler-class-group-of-a-noetherian-ring-1408.2645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/euler-class-group-of-a-noetherian-ring-1408.2645"/></url>
<url><loc>https://scifaro.com/en/abs/lexicographic-effect-algebras-1408.3718</loc><lastmod>2014-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lexicographic-effect-algebras-1408.3718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lexicographic-effect-algebras-1408.3718"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-torsionfreeness-and-its-applications-1408.3796</loc><lastmod>2016-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-torsionfreeness-and-its-applications-1408.3796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-torsionfreeness-and-its-applications-1408.3796"/></url>
<url><loc>https://scifaro.com/en/abs/prime-congruences-of-idempotent-semirings-and-a-nullstellensatz-for-tropical-polynomials-1408.3817</loc><lastmod>2017-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-congruences-of-idempotent-semirings-and-a-nullstellensatz-for-tropical-polynomials-1408.3817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-congruences-of-idempotent-semirings-and-a-nullstellensatz-for-tropical-polynomials-1408.3817"/></url>
<url><loc>https://scifaro.com/en/abs/lcm-lattices-and-stanley-depth-a-first-computational-approach-1408.4255</loc><lastmod>2016-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lcm-lattices-and-stanley-depth-a-first-computational-approach-1408.4255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lcm-lattices-and-stanley-depth-a-first-computational-approach-1408.4255"/></url>
<url><loc>https://scifaro.com/en/abs/the-coordinate-ring-of-a-simple-polyomino-1408.4275</loc><lastmod>2014-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-coordinate-ring-of-a-simple-polyomino-1408.4275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-coordinate-ring-of-a-simple-polyomino-1408.4275"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-to-compute-a-primary-decomposition-of-modules-in-polynomial-rings-over-the-integers-1408.4343</loc><lastmod>2014-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-to-compute-a-primary-decomposition-of-modules-in-polynomial-rings-over-the-integers-1408.4343"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-to-compute-a-primary-decomposition-of-modules-in-polynomial-rings-over-the-integers-1408.4343"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-definability-of-henselian-valuation-rings-in-the-macintyre-language-1408.4816</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-definability-of-henselian-valuation-rings-in-the-macintyre-language-1408.4816"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-definability-of-henselian-valuation-rings-in-the-macintyre-language-1408.4816"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-balanced-big-cohen-macaulay-modules-over-cohen-macaulay-rings-1408.5152</loc><lastmod>2014-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-balanced-big-cohen-macaulay-modules-over-cohen-macaulay-rings-1408.5152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-balanced-big-cohen-macaulay-modules-over-cohen-macaulay-rings-1408.5152"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-l-complete-lattices-1408.5222</loc><lastmod>2014-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-l-complete-lattices-1408.5222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-l-complete-lattices-1408.5222"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-geometry-of-pr-ufer-intersections-of-valuation-rings-1408.5361</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-geometry-of-pr-ufer-intersections-of-valuation-rings-1408.5361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-geometry-of-pr-ufer-intersections-of-valuation-rings-1408.5361"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-of-powers-of-edge-ideals-1408.5475</loc><lastmod>2021-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-of-powers-of-edge-ideals-1408.5475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-of-powers-of-edge-ideals-1408.5475"/></url>
<url><loc>https://scifaro.com/en/abs/semidualizing-modules-and-rings-of-invariants-1408.5508</loc><lastmod>2014-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semidualizing-modules-and-rings-of-invariants-1408.5508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semidualizing-modules-and-rings-of-invariants-1408.5508"/></url>
<url><loc>https://scifaro.com/en/abs/on-primary-decomposition-of-modules-1408.5515</loc><lastmod>2014-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-primary-decomposition-of-modules-1408.5515"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-primary-decomposition-of-modules-1408.5515"/></url>
<url><loc>https://scifaro.com/en/abs/artin-nagata-properties-minimal-multiplicities-and-depth-of-fiber-cones-1408.5541</loc><lastmod>2014-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artin-nagata-properties-minimal-multiplicities-and-depth-of-fiber-cones-1408.5541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artin-nagata-properties-minimal-multiplicities-and-depth-of-fiber-cones-1408.5541"/></url>
<url><loc>https://scifaro.com/en/abs/g-gorenstein-complexes-1408.6026</loc><lastmod>2014-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-gorenstein-complexes-1408.6026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-gorenstein-complexes-1408.6026"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-s-small-mcm-conjecture-for-three-dimensional-weakly-f-split-rings-1408.6212</loc><lastmod>2014-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-s-small-mcm-conjecture-for-three-dimensional-weakly-f-split-rings-1408.6212"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-s-small-mcm-conjecture-for-three-dimensional-weakly-f-split-rings-1408.6212"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-local-toric-rings-1408.6220</loc><lastmod>2014-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-local-toric-rings-1408.6220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-local-toric-rings-1408.6220"/></url>
<url><loc>https://scifaro.com/en/abs/the-explicit-minimal-resolution-constructed-from-a-macaulay-inverse-system-1408.6717</loc><lastmod>2014-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-explicit-minimal-resolution-constructed-from-a-macaulay-inverse-system-1408.6717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-explicit-minimal-resolution-constructed-from-a-macaulay-inverse-system-1408.6717"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-gorenstein-linear-resolutions-of-artinian-algebras-1408.6733</loc><lastmod>2014-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-gorenstein-linear-resolutions-of-artinian-algebras-1408.6733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-gorenstein-linear-resolutions-of-artinian-algebras-1408.6733"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-defining-gorenstein-rings-are-almost-never-products-1408.7095</loc><lastmod>2014-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-defining-gorenstein-rings-are-almost-never-products-1408.7095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-defining-gorenstein-rings-are-almost-never-products-1408.7095"/></url>
<url><loc>https://scifaro.com/en/abs/introduction-to-uniformity-in-commutative-algebra-1408.7098</loc><lastmod>2014-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/introduction-to-uniformity-in-commutative-algebra-1408.7098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/introduction-to-uniformity-in-commutative-algebra-1408.7098"/></url>
<url><loc>https://scifaro.com/en/abs/the-saturation-of-frobenius-powers-of-ideals-1408.7100</loc><lastmod>2014-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-saturation-of-frobenius-powers-of-ideals-1408.7100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-saturation-of-frobenius-powers-of-ideals-1408.7100"/></url>
<url><loc>https://scifaro.com/en/abs/decompositions-of-cellular-binomial-ideals-1409.0179</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decompositions-of-cellular-binomial-ideals-1409.0179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decompositions-of-cellular-binomial-ideals-1409.0179"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-forests-and-cycles-1409.0277</loc><lastmod>2022-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-forests-and-cycles-1409.0277"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-forests-and-cycles-1409.0277"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-class-groups-of-monoid-algebras-1409.0299</loc><lastmod>2015-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-class-groups-of-monoid-algebras-1409.0299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-class-groups-of-monoid-algebras-1409.0299"/></url>
<url><loc>https://scifaro.com/en/abs/absolute-integral-closure-1409.0441</loc><lastmod>2014-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absolute-integral-closure-1409.0441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absolute-integral-closure-1409.0441"/></url>
<url><loc>https://scifaro.com/en/abs/special-tight-closure-1409.0442</loc><lastmod>2014-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/special-tight-closure-1409.0442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/special-tight-closure-1409.0442"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicative-invariants-of-root-lattices-1409.0453</loc><lastmod>2014-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicative-invariants-of-root-lattices-1409.0453"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicative-invariants-of-root-lattices-1409.0453"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicities-and-the-f-signature-1409.0467</loc><lastmod>2014-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicities-and-the-f-signature-1409.0467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicities-and-the-f-signature-1409.0467"/></url>
<url><loc>https://scifaro.com/en/abs/completely-m-full-ideals-and-componentwise-linear-ideals-1409.0595</loc><lastmod>2015-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completely-m-full-ideals-and-componentwise-linear-ideals-1409.0595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completely-m-full-ideals-and-componentwise-linear-ideals-1409.0595"/></url>
<url><loc>https://scifaro.com/en/abs/growth-of-multiplicities-of-graded-families-of-ideals-1409.0816</loc><lastmod>2014-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/growth-of-multiplicities-of-graded-families-of-ideals-1409.0816"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/growth-of-multiplicities-of-graded-families-of-ideals-1409.0816"/></url>
<url><loc>https://scifaro.com/en/abs/symmetry-in-the-vanishing-of-ext-over-gorenstein-rings-1409.1119</loc><lastmod>2014-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetry-in-the-vanishing-of-ext-over-gorenstein-rings-1409.1119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetry-in-the-vanishing-of-ext-over-gorenstein-rings-1409.1119"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-cohen-macaulay-local-rings-1409.1141</loc><lastmod>2014-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-cohen-macaulay-local-rings-1409.1141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-cohen-macaulay-local-rings-1409.1141"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-splitting-in-commutative-algebra-1409.1169</loc><lastmod>2014-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-splitting-in-commutative-algebra-1409.1169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-splitting-in-commutative-algebra-1409.1169"/></url>
<url><loc>https://scifaro.com/en/abs/intersection-algebras-for-principal-monomial-ideals-in-polynomial-rings-1409.1319</loc><lastmod>2014-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intersection-algebras-for-principal-monomial-ideals-in-polynomial-rings-1409.1319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intersection-algebras-for-principal-monomial-ideals-in-polynomial-rings-1409.1319"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-resolving-subcategories-1409.1469</loc><lastmod>2017-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-resolving-subcategories-1409.1469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-resolving-subcategories-1409.1469"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-methods-for-representations-of-combinatorial-categories-1409.1670</loc><lastmod>2016-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-methods-for-representations-of-combinatorial-categories-1409.1670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-methods-for-representations-of-combinatorial-categories-1409.1670"/></url>
<url><loc>https://scifaro.com/en/abs/on-associated-graded-modules-having-a-pure-resolution-1409.1762</loc><lastmod>2014-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-associated-graded-modules-having-a-pure-resolution-1409.1762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-associated-graded-modules-having-a-pure-resolution-1409.1762"/></url>
<url><loc>https://scifaro.com/en/abs/the-buchberger-resolution-1409.2041</loc><lastmod>2014-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-buchberger-resolution-1409.2041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-buchberger-resolution-1409.2041"/></url>
<url><loc>https://scifaro.com/en/abs/a-gorenstein-simplicial-complex-for-symmetric-minors-1409.2135</loc><lastmod>2014-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gorenstein-simplicial-complex-for-symmetric-minors-1409.2135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gorenstein-simplicial-complex-for-symmetric-minors-1409.2135"/></url>
<url><loc>https://scifaro.com/en/abs/graded-annihilators-and-uniformly-f-compatible-ideals-1409.2319</loc><lastmod>2014-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-annihilators-and-uniformly-f-compatible-ideals-1409.2319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-annihilators-and-uniformly-f-compatible-ideals-1409.2319"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-hibi-rings-1409.2445</loc><lastmod>2014-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-hibi-rings-1409.2445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-hibi-rings-1409.2445"/></url>
<url><loc>https://scifaro.com/en/abs/simultaneous-similarity-classes-of-commuting-matrices-over-a-finite-field-1409.2698</loc><lastmod>2021-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simultaneous-similarity-classes-of-commuting-matrices-over-a-finite-field-1409.2698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simultaneous-similarity-classes-of-commuting-matrices-over-a-finite-field-1409.2698"/></url>
<url><loc>https://scifaro.com/en/abs/direct-summands-of-infinite-dimensional-polynomial-rings-1409.2721</loc><lastmod>2016-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/direct-summands-of-infinite-dimensional-polynomial-rings-1409.2721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/direct-summands-of-infinite-dimensional-polynomial-rings-1409.2721"/></url>
<url><loc>https://scifaro.com/en/abs/f-singularities-applications-of-characteristic-p-methods-to-singularity-theory-1409.3473</loc><lastmod>2015-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-singularities-applications-of-characteristic-p-methods-to-singularity-theory-1409.3473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-singularities-applications-of-characteristic-p-methods-to-singularity-theory-1409.3473"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-path-ideals-of-gap-free-graphs-1409.3583</loc><lastmod>2014-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-path-ideals-of-gap-free-graphs-1409.3583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-path-ideals-of-gap-free-graphs-1409.3583"/></url>
<url><loc>https://scifaro.com/en/abs/intersection-multiplicity-of-serre-in-the-unramified-case-1409.3616</loc><lastmod>2014-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intersection-multiplicity-of-serre-in-the-unramified-case-1409.3616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intersection-multiplicity-of-serre-in-the-unramified-case-1409.3616"/></url>
<url><loc>https://scifaro.com/en/abs/the-norm-map-of-witt-vectors-1409.4154</loc><lastmod>2014-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-norm-map-of-witt-vectors-1409.4154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-norm-map-of-witt-vectors-1409.4154"/></url>
<url><loc>https://scifaro.com/en/abs/witt-vectors-and-truncation-posets-1409.4156</loc><lastmod>2017-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/witt-vectors-and-truncation-posets-1409.4156"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/witt-vectors-and-truncation-posets-1409.4156"/></url>
<url><loc>https://scifaro.com/en/abs/centrally-symmetric-configurations-of-order-polytopes-1409.4386</loc><lastmod>2016-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/centrally-symmetric-configurations-of-order-polytopes-1409.4386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/centrally-symmetric-configurations-of-order-polytopes-1409.4386"/></url>
<url><loc>https://scifaro.com/en/abs/affine-schemes-and-topological-closures-in-the-zariski-riemann-space-of-valuation-rings-1409.5113</loc><lastmod>2014-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-schemes-and-topological-closures-in-the-zariski-riemann-space-of-valuation-rings-1409.5113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-schemes-and-topological-closures-in-the-zariski-riemann-space-of-valuation-rings-1409.5113"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-monomial-ideals-1409.5270</loc><lastmod>2014-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-monomial-ideals-1409.5270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-squarefree-monomial-ideals-1409.5270"/></url>
<url><loc>https://scifaro.com/en/abs/iterated-socles-and-integral-dependence-in-regular-rings-1409.5481</loc><lastmod>2014-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterated-socles-and-integral-dependence-in-regular-rings-1409.5481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterated-socles-and-integral-dependence-in-regular-rings-1409.5481"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-special-primary-decompositions-in-multigraded-modules-1409.5518</loc><lastmod>2014-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-special-primary-decompositions-in-multigraded-modules-1409.5518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-special-primary-decompositions-in-multigraded-modules-1409.5518"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-stable-ideals-and-borel-fixed-ideals-with-a-given-hilbert-polynomial-1409.5569</loc><lastmod>2015-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-stable-ideals-and-borel-fixed-ideals-with-a-given-hilbert-polynomial-1409.5569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-stable-ideals-and-borel-fixed-ideals-with-a-given-hilbert-polynomial-1409.5569"/></url>
<url><loc>https://scifaro.com/en/abs/the-invariant-fields-of-the-sylow-groups-of-classical-groups-in-the-natural-characteristic-1409.5660</loc><lastmod>2014-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-invariant-fields-of-the-sylow-groups-of-classical-groups-in-the-natural-characteristic-1409.5660"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-invariant-fields-of-the-sylow-groups-of-classical-groups-in-the-natural-characteristic-1409.5660"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-powers-of-the-path-ideal-1409.6072</loc><lastmod>2014-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-powers-of-the-path-ideal-1409.6072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-powers-of-the-path-ideal-1409.6072"/></url>
<url><loc>https://scifaro.com/en/abs/the-groebner-basis-of-a-polynomial-system-1409.6390</loc><lastmod>2015-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-groebner-basis-of-a-polynomial-system-1409.6390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-groebner-basis-of-a-polynomial-system-1409.6390"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-modules-and-coherent-functors-1409.6464</loc><lastmod>2016-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-modules-and-coherent-functors-1409.6464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-modules-and-coherent-functors-1409.6464"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-of-local-rings-and-linear-strands-of-graded-ideals-1409.6486</loc><lastmod>2016-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-local-rings-and-linear-strands-of-graded-ideals-1409.6486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-of-local-rings-and-linear-strands-of-graded-ideals-1409.6486"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-resolutions-of-dominant-and-semidominant-ideals-1409.6687</loc><lastmod>2014-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-resolutions-of-dominant-and-semidominant-ideals-1409.6687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-resolutions-of-dominant-and-semidominant-ideals-1409.6687"/></url>
<url><loc>https://scifaro.com/en/abs/distinct-monomial-orders-with-same-induced-orderings-1409.7004</loc><lastmod>2014-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distinct-monomial-orders-with-same-induced-orderings-1409.7004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distinct-monomial-orders-with-same-induced-orderings-1409.7004"/></url>
<url><loc>https://scifaro.com/en/abs/a-lower-bound-for-depths-of-powers-of-edge-ideals-1409.7020</loc><lastmod>2015-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-lower-bound-for-depths-of-powers-of-edge-ideals-1409.7020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-lower-bound-for-depths-of-powers-of-edge-ideals-1409.7020"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-lyubeznik-numbers-under-localization-and-polarization-1409.7144</loc><lastmod>2014-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-lyubeznik-numbers-under-localization-and-polarization-1409.7144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-lyubeznik-numbers-under-localization-and-polarization-1409.7144"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-witt-vector-frobenius-1409.7530</loc><lastmod>2015-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-witt-vector-frobenius-1409.7530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-witt-vector-frobenius-1409.7530"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-table-of-sequentially-cohen-macaulay-rings-1409.7531</loc><lastmod>2014-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-table-of-sequentially-cohen-macaulay-rings-1409.7531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-table-of-sequentially-cohen-macaulay-rings-1409.7531"/></url>
<url><loc>https://scifaro.com/en/abs/the-zero-short-covering-problem-for-finite-rings-1409.8011</loc><lastmod>2015-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zero-short-covering-problem-for-finite-rings-1409.8011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zero-short-covering-problem-for-finite-rings-1409.8011"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-universal-squarefree-lexsegment-ideals-1409.8026</loc><lastmod>2014-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-universal-squarefree-lexsegment-ideals-1409.8026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-universal-squarefree-lexsegment-ideals-1409.8026"/></url>
<url><loc>https://scifaro.com/en/abs/error-correction-of-linear-codes-via-colon-ideals-1409.8387</loc><lastmod>2015-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/error-correction-of-linear-codes-via-colon-ideals-1409.8387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/error-correction-of-linear-codes-via-colon-ideals-1409.8387"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-on-homology-and-a-conjecture-of-derksen-1410.0150</loc><lastmod>2014-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-on-homology-and-a-conjecture-of-derksen-1410.0150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-on-homology-and-a-conjecture-of-derksen-1410.0150"/></url>
<url><loc>https://scifaro.com/en/abs/a-special-chain-theorem-for-the-embedding-dimension-1410.0185</loc><lastmod>2017-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-special-chain-theorem-for-the-embedding-dimension-1410.0185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-special-chain-theorem-for-the-embedding-dimension-1410.0185"/></url>
<url><loc>https://scifaro.com/en/abs/a-homological-criterion-for-the-containment-between-symbolic-and-ordinary-powers-for-some-ideals-of-points-in-mathbb-p-2-1410.0312</loc><lastmod>2015-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-homological-criterion-for-the-containment-between-symbolic-and-ordinary-powers-for-some-ideals-of-points-in-mathbb-p-2-1410.0312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-homological-criterion-for-the-containment-between-symbolic-and-ordinary-powers-for-some-ideals-of-points-in-mathbb-p-2-1410.0312"/></url>
<url><loc>https://scifaro.com/en/abs/elementary-equivariant-modules-1410.0427</loc><lastmod>2014-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-equivariant-modules-1410.0427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-equivariant-modules-1410.0427"/></url>
<url><loc>https://scifaro.com/en/abs/strong-koszulness-of-the-toric-ring-associated-to-a-cut-ideal-1410.0455</loc><lastmod>2019-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-koszulness-of-the-toric-ring-associated-to-a-cut-ideal-1410.0455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-koszulness-of-the-toric-ring-associated-to-a-cut-ideal-1410.0455"/></url>
<url><loc>https://scifaro.com/en/abs/a-combinatorial-algorithm-to-find-the-minimal-free-resolution-of-an-ideal-with-binomial-and-monomial-generators-1410.0713</loc><lastmod>2014-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-combinatorial-algorithm-to-find-the-minimal-free-resolution-of-an-ideal-with-binomial-and-monomial-generators-1410.0713"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-combinatorial-algorithm-to-find-the-minimal-free-resolution-of-an-ideal-with-binomial-and-monomial-generators-1410.0713"/></url>
<url><loc>https://scifaro.com/en/abs/filtrations-of-totally-reflexive-modules-1410.0732</loc><lastmod>2014-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filtrations-of-totally-reflexive-modules-1410.0732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filtrations-of-totally-reflexive-modules-1410.0732"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-monomial-modules-and-extremal-betti-numbers-1410.0795</loc><lastmod>2014-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-monomial-modules-and-extremal-betti-numbers-1410.0795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-monomial-modules-and-extremal-betti-numbers-1410.0795"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-of-vasconcelos-1410.1210</loc><lastmod>2015-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-of-vasconcelos-1410.1210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-of-vasconcelos-1410.1210"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-principal-minors-1410.1910</loc><lastmod>2015-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-principal-minors-1410.1910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-principal-minors-1410.1910"/></url>
<url><loc>https://scifaro.com/en/abs/a-baer-kaplansky-theorem-for-modules-over-principal-ideal-domains-1410.2667</loc><lastmod>2014-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-baer-kaplansky-theorem-for-modules-over-principal-ideal-domains-1410.2667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-baer-kaplansky-theorem-for-modules-over-principal-ideal-domains-1410.2667"/></url>
<url><loc>https://scifaro.com/en/abs/scattered-sets-and-roots-of-unity-in-mathbb-z-p-mathbb-z-1410.2913</loc><lastmod>2015-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/scattered-sets-and-roots-of-unity-in-mathbb-z-p-mathbb-z-1410.2913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/scattered-sets-and-roots-of-unity-in-mathbb-z-p-mathbb-z-1410.2913"/></url>
<url><loc>https://scifaro.com/en/abs/blowups-and-fibers-of-morphisms-1410.3172</loc><lastmod>2015-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowups-and-fibers-of-morphisms-1410.3172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowups-and-fibers-of-morphisms-1410.3172"/></url>
<url><loc>https://scifaro.com/en/abs/subgroups-of-polynomial-automorphisms-with-diagonalizable-fibers-1410.3181</loc><lastmod>2014-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subgroups-of-polynomial-automorphisms-with-diagonalizable-fibers-1410.3181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subgroups-of-polynomial-automorphisms-with-diagonalizable-fibers-1410.3181"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-and-simplicial-spanning-trees-1410.3666</loc><lastmod>2015-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-and-simplicial-spanning-trees-1410.3666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-and-simplicial-spanning-trees-1410.3666"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-topological-characterization-of-pr-ufer-v-multiplication-domains-among-essential-domains-1410.4037</loc><lastmod>2014-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-topological-characterization-of-pr-ufer-v-multiplication-domains-among-essential-domains-1410.4037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-topological-characterization-of-pr-ufer-v-multiplication-domains-among-essential-domains-1410.4037"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-normal-hilbert-coefficients-1410.4233</loc><lastmod>2014-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-normal-hilbert-coefficients-1410.4233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-normal-hilbert-coefficients-1410.4233"/></url>
<url><loc>https://scifaro.com/en/abs/linear-syzygies-flag-complexes-and-regularity-1410.4582</loc><lastmod>2015-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-syzygies-flag-complexes-and-regularity-1410.4582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-syzygies-flag-complexes-and-regularity-1410.4582"/></url>
<url><loc>https://scifaro.com/en/abs/reverse-lexicographic-squarefree-initial-ideals-and-gorenstein-fano-polytopes-1410.4786</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reverse-lexicographic-squarefree-initial-ideals-and-gorenstein-fano-polytopes-1410.4786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reverse-lexicographic-squarefree-initial-ideals-and-gorenstein-fano-polytopes-1410.4786"/></url>
<url><loc>https://scifaro.com/en/abs/proceedings-of-the-4th-annual-underrepresented-students-in-topology-and-algebra-research-symposium-ustars-2014-1410.4869</loc><lastmod>2014-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proceedings-of-the-4th-annual-underrepresented-students-in-topology-and-algebra-research-symposium-ustars-2014-1410.4869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proceedings-of-the-4th-annual-underrepresented-students-in-topology-and-algebra-research-symposium-ustars-2014-1410.4869"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohen-macaulayness-of-s-n-invariant-subspace-arrangements-1410.5096</loc><lastmod>2016-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohen-macaulayness-of-s-n-invariant-subspace-arrangements-1410.5096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohen-macaulayness-of-s-n-invariant-subspace-arrangements-1410.5096"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-invariants-for-the-three-dimensional-modular-representations-of-elementary-abelian-p-groups-of-rank-four-1410.5227</loc><lastmod>2016-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-invariants-for-the-three-dimensional-modular-representations-of-elementary-abelian-p-groups-of-rank-four-1410.5227"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-invariants-for-the-three-dimensional-modular-representations-of-elementary-abelian-p-groups-of-rank-four-1410.5227"/></url>
<url><loc>https://scifaro.com/en/abs/approximations-by-maximal-cohen-macaulay-modules-1410.5611</loc><lastmod>2014-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/approximations-by-maximal-cohen-macaulay-modules-1410.5611"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/approximations-by-maximal-cohen-macaulay-modules-1410.5611"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-samuel-sequences-of-homogeneous-finite-type-1410.5654</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-samuel-sequences-of-homogeneous-finite-type-1410.5654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-samuel-sequences-of-homogeneous-finite-type-1410.5654"/></url>
<url><loc>https://scifaro.com/en/abs/the-converse-of-a-theorem-by-bayer-and-stillman-1410.5969</loc><lastmod>2014-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-converse-of-a-theorem-by-bayer-and-stillman-1410.5969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-converse-of-a-theorem-by-bayer-and-stillman-1410.5969"/></url>
<url><loc>https://scifaro.com/en/abs/duality-of-discrete-topological-vector-spaces-1410.6324</loc><lastmod>2014-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-of-discrete-topological-vector-spaces-1410.6324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-of-discrete-topological-vector-spaces-1410.6324"/></url>
<url><loc>https://scifaro.com/en/abs/betti-splitting-via-componentwise-linear-ideals-1410.6511</loc><lastmod>2015-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-splitting-via-componentwise-linear-ideals-1410.6511"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-splitting-via-componentwise-linear-ideals-1410.6511"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-spline-complexes-1410.6894</loc><lastmod>2014-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-spline-complexes-1410.6894"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-spline-complexes-1410.6894"/></url>
<url><loc>https://scifaro.com/en/abs/more-results-on-the-number-of-zeros-of-multiplicity-at-least-r-1410.7084</loc><lastmod>2015-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/more-results-on-the-number-of-zeros-of-multiplicity-at-least-r-1410.7084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/more-results-on-the-number-of-zeros-of-multiplicity-at-least-r-1410.7084"/></url>
<url><loc>https://scifaro.com/en/abs/rate-and-syzigies-of-modules-over-veronese-subrings-1410.7965</loc><lastmod>2014-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rate-and-syzigies-of-modules-over-veronese-subrings-1410.7965"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rate-and-syzigies-of-modules-over-veronese-subrings-1410.7965"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-betti-numbers-of-some-path-ideals-1410.8242</loc><lastmod>2014-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-betti-numbers-of-some-path-ideals-1410.8242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-betti-numbers-of-some-path-ideals-1410.8242"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rate-of-graded-modules-1410.8325</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rate-of-graded-modules-1410.8325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rate-of-graded-modules-1410.8325"/></url>
<url><loc>https://scifaro.com/en/abs/the-syzygies-of-some-thickenings-of-determinantal-varieties-1411.0151</loc><lastmod>2016-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-syzygies-of-some-thickenings-of-determinantal-varieties-1411.0151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-syzygies-of-some-thickenings-of-determinantal-varieties-1411.0151"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-the-linearity-defect-and-applications-1411.0261</loc><lastmod>2016-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-the-linearity-defect-and-applications-1411.0261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-the-linearity-defect-and-applications-1411.0261"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-line-and-cyclic-graphs-1411.0624</loc><lastmod>2016-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-line-and-cyclic-graphs-1411.0624"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-line-and-cyclic-graphs-1411.0624"/></url>
<url><loc>https://scifaro.com/en/abs/new-effective-differential-nullstellensatz-1411.1000</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-effective-differential-nullstellensatz-1411.1000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-effective-differential-nullstellensatz-1411.1000"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-mixed-spline-spaces-1411.2176</loc><lastmod>2014-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-mixed-spline-spaces-1411.2176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-mixed-spline-spaces-1411.2176"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-local-cohomology-modules-over-regular-rings-1411.2734</loc><lastmod>2016-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-local-cohomology-modules-over-regular-rings-1411.2734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-local-cohomology-modules-over-regular-rings-1411.2734"/></url>
<url><loc>https://scifaro.com/en/abs/ubiquity-of-complete-intersection-liaison-classes-1411.3393</loc><lastmod>2014-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ubiquity-of-complete-intersection-liaison-classes-1411.3393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ubiquity-of-complete-intersection-liaison-classes-1411.3393"/></url>
<url><loc>https://scifaro.com/en/abs/the-face-ideal-of-a-simplicial-complex-1411.3567</loc><lastmod>2014-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-face-ideal-of-a-simplicial-complex-1411.3567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-face-ideal-of-a-simplicial-complex-1411.3567"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ideal-of-orthogonal-representations-of-a-graph-in-mathbb-r-2-1411.3674</loc><lastmod>2014-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ideal-of-orthogonal-representations-of-a-graph-in-mathbb-r-2-1411.3674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ideal-of-orthogonal-representations-of-a-graph-in-mathbb-r-2-1411.3674"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-syzygies-of-stanley-reisner-rings-of-iterated-subdivisions-1411.3695</loc><lastmod>2014-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-syzygies-of-stanley-reisner-rings-of-iterated-subdivisions-1411.3695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-syzygies-of-stanley-reisner-rings-of-iterated-subdivisions-1411.3695"/></url>
<url><loc>https://scifaro.com/en/abs/constructive-description-of-monogenic-functions-in-a-finite-dimensional-commutative-associative-algebra-1411.4643</loc><lastmod>2014-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructive-description-of-monogenic-functions-in-a-finite-dimensional-commutative-associative-algebra-1411.4643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructive-description-of-monogenic-functions-in-a-finite-dimensional-commutative-associative-algebra-1411.4643"/></url>
<url><loc>https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-i-triple-flags-1411.4693</loc><lastmod>2021-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-i-triple-flags-1411.4693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-i-triple-flags-1411.4693"/></url>
<url><loc>https://scifaro.com/en/abs/recursive-betti-numbers-for-cohen-macaulay-d-partite-clutters-arising-from-posets-1411.5629</loc><lastmod>2015-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recursive-betti-numbers-for-cohen-macaulay-d-partite-clutters-arising-from-posets-1411.5629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recursive-betti-numbers-for-cohen-macaulay-d-partite-clutters-arising-from-posets-1411.5629"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-with-respect-to-a-semidualizing-complex-1411.6563</loc><lastmod>2014-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-with-respect-to-a-semidualizing-complex-1411.6563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-with-respect-to-a-semidualizing-complex-1411.6563"/></url>
<url><loc>https://scifaro.com/en/abs/the-aluffi-algebra-of-the-jacobian-of-points-in-projective-space-torsion-freeness-1411.6983</loc><lastmod>2014-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-aluffi-algebra-of-the-jacobian-of-points-in-projective-space-torsion-freeness-1411.6983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-aluffi-algebra-of-the-jacobian-of-points-in-projective-space-torsion-freeness-1411.6983"/></url>
<url><loc>https://scifaro.com/en/abs/semidualizing-dg-modules-over-tensor-products-1411.6985</loc><lastmod>2014-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semidualizing-dg-modules-over-tensor-products-1411.6985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semidualizing-dg-modules-over-tensor-products-1411.6985"/></url>
<url><loc>https://scifaro.com/en/abs/a-sufficient-condition-for-strong-f-regularity-1411.7078</loc><lastmod>2014-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sufficient-condition-for-strong-f-regularity-1411.7078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sufficient-condition-for-strong-f-regularity-1411.7078"/></url>
<url><loc>https://scifaro.com/en/abs/the-number-of-generators-of-the-first-koszul-homology-of-an-artinian-ring-1411.7096</loc><lastmod>2014-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-number-of-generators-of-the-first-koszul-homology-of-an-artinian-ring-1411.7096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-number-of-generators-of-the-first-koszul-homology-of-an-artinian-ring-1411.7096"/></url>
<url><loc>https://scifaro.com/en/abs/saturation-and-associated-primes-of-powers-of-edge-ideals-1411.7740</loc><lastmod>2014-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/saturation-and-associated-primes-of-powers-of-edge-ideals-1411.7740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/saturation-and-associated-primes-of-powers-of-edge-ideals-1411.7740"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-of-whisker-type-1411.7890</loc><lastmod>2014-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-of-whisker-type-1411.7890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-of-whisker-type-1411.7890"/></url>
<url><loc>https://scifaro.com/en/abs/absolutely-koszul-algebras-and-the-backelin-roos-property-1411.7938</loc><lastmod>2014-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absolutely-koszul-algebras-and-the-backelin-roos-property-1411.7938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absolutely-koszul-algebras-and-the-backelin-roos-property-1411.7938"/></url>
<url><loc>https://scifaro.com/en/abs/gotzmann-s-persistence-theorem-for-finite-modules-1411.7940</loc><lastmod>2017-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gotzmann-s-persistence-theorem-for-finite-modules-1411.7940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gotzmann-s-persistence-theorem-for-finite-modules-1411.7940"/></url>
<url><loc>https://scifaro.com/en/abs/lengths-and-multiplicities-of-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1412.1404</loc><lastmod>2014-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lengths-and-multiplicities-of-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1412.1404"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lengths-and-multiplicities-of-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1412.1404"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-nakai-s-theorem-on-locally-finite-iterative-higher-derivations-1412.1598</loc><lastmod>2014-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-nakai-s-theorem-on-locally-finite-iterative-higher-derivations-1412.1598"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-nakai-s-theorem-on-locally-finite-iterative-higher-derivations-1412.1598"/></url>
<url><loc>https://scifaro.com/en/abs/boundary-and-shape-of-cohen-macaulay-cone-1412.2182</loc><lastmod>2014-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boundary-and-shape-of-cohen-macaulay-cone-1412.2182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boundary-and-shape-of-cohen-macaulay-cone-1412.2182"/></url>
<url><loc>https://scifaro.com/en/abs/on-existence-of-canonical-g-bases-1412.2224</loc><lastmod>2019-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-existence-of-canonical-g-bases-1412.2224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-existence-of-canonical-g-bases-1412.2224"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-cohen-macaulay-rings-with-dualizing-modules-1412.2654</loc><lastmod>2015-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-cohen-macaulay-rings-with-dualizing-modules-1412.2654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-cohen-macaulay-rings-with-dualizing-modules-1412.2654"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-tensors-rank-and-strassen-s-conjecture-1412.2975</loc><lastmod>2015-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-tensors-rank-and-strassen-s-conjecture-1412.2975"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-tensors-rank-and-strassen-s-conjecture-1412.2975"/></url>
<url><loc>https://scifaro.com/en/abs/some-computations-for-binomial-edge-ideals-and-koszul-duality-1412.3542</loc><lastmod>2014-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-computations-for-binomial-edge-ideals-and-koszul-duality-1412.3542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-computations-for-binomial-edge-ideals-and-koszul-duality-1412.3542"/></url>
<url><loc>https://scifaro.com/en/abs/equivalent-condition-for-approximately-cohen-macaulay-complexes-1412.3735</loc><lastmod>2021-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivalent-condition-for-approximately-cohen-macaulay-complexes-1412.3735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivalent-condition-for-approximately-cohen-macaulay-complexes-1412.3735"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relation-between-betti-numbers-of-an-arf-semigroup-and-its-blowup-1412.3748</loc><lastmod>2014-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relation-between-betti-numbers-of-an-arf-semigroup-and-its-blowup-1412.3748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relation-between-betti-numbers-of-an-arf-semigroup-and-its-blowup-1412.3748"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-product-of-dualizing-complexes-over-a-field-1412.3759</loc><lastmod>2018-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-product-of-dualizing-complexes-over-a-field-1412.3759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-product-of-dualizing-complexes-over-a-field-1412.3759"/></url>
<url><loc>https://scifaro.com/en/abs/partial-regularities-and-a-invariants-of-borel-type-ideals-1412.3962</loc><lastmod>2014-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partial-regularities-and-a-invariants-of-borel-type-ideals-1412.3962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partial-regularities-and-a-invariants-of-borel-type-ideals-1412.3962"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-betti-numbers-and-modules-of-finite-projective-dimension-1412.4266</loc><lastmod>2015-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-betti-numbers-and-modules-of-finite-projective-dimension-1412.4266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-betti-numbers-and-modules-of-finite-projective-dimension-1412.4266"/></url>
<url><loc>https://scifaro.com/en/abs/discrete-polymatroids-satisfying-a-stronger-symmetric-exchange-property-1412.4496</loc><lastmod>2017-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/discrete-polymatroids-satisfying-a-stronger-symmetric-exchange-property-1412.4496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/discrete-polymatroids-satisfying-a-stronger-symmetric-exchange-property-1412.4496"/></url>
<url><loc>https://scifaro.com/en/abs/on-fields-with-only-finitely-many-maximal-subrings-1412.4983</loc><lastmod>2014-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-fields-with-only-finitely-many-maximal-subrings-1412.4983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-fields-with-only-finitely-many-maximal-subrings-1412.4983"/></url>
<url><loc>https://scifaro.com/en/abs/systems-of-parameters-and-the-cohen-macaulay-property-1412.5912</loc><lastmod>2014-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/systems-of-parameters-and-the-cohen-macaulay-property-1412.5912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/systems-of-parameters-and-the-cohen-macaulay-property-1412.5912"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohomology-of-complexes-associated-with-a-generic-matrix-1412.5961</loc><lastmod>2014-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohomology-of-complexes-associated-with-a-generic-matrix-1412.5961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohomology-of-complexes-associated-with-a-generic-matrix-1412.5961"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-in-tensor-powers-of-modules-1412.6454</loc><lastmod>2014-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-in-tensor-powers-of-modules-1412.6454"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-in-tensor-powers-of-modules-1412.6454"/></url>
<url><loc>https://scifaro.com/en/abs/criteria-for-vanishing-of-tor-over-complete-intersections-1412.6456</loc><lastmod>2014-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/criteria-for-vanishing-of-tor-over-complete-intersections-1412.6456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/criteria-for-vanishing-of-tor-over-complete-intersections-1412.6456"/></url>
<url><loc>https://scifaro.com/en/abs/using-semidualizing-complexes-to-detect-gorenstein-rings-1412.7125</loc><lastmod>2015-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/using-semidualizing-complexes-to-detect-gorenstein-rings-1412.7125"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/using-semidualizing-complexes-to-detect-gorenstein-rings-1412.7125"/></url>
<url><loc>https://scifaro.com/en/abs/presentations-of-rings-with-a-chain-of-semidualizing-modules-1412.7465</loc><lastmod>2016-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/presentations-of-rings-with-a-chain-of-semidualizing-modules-1412.7465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/presentations-of-rings-with-a-chain-of-semidualizing-modules-1412.7465"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-semi-regular-sequences-1412.7865</loc><lastmod>2014-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-semi-regular-sequences-1412.7865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-semi-regular-sequences-1412.7865"/></url>
<url><loc>https://scifaro.com/en/abs/perfect-linkage-of-cohen-macaulay-modules-over-cohen-macaulay-rings-1412.8027</loc><lastmod>2016-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfect-linkage-of-cohen-macaulay-modules-over-cohen-macaulay-rings-1412.8027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfect-linkage-of-cohen-macaulay-modules-over-cohen-macaulay-rings-1412.8027"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-approximations-and-serre-s-condition-1412.8046</loc><lastmod>2014-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-approximations-and-serre-s-condition-1412.8046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-approximations-and-serre-s-condition-1412.8046"/></url>
<url><loc>https://scifaro.com/en/abs/prethick-subcateogries-of-modules-and-characterizations-of-local-rings-1412.8047</loc><lastmod>2015-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prethick-subcateogries-of-modules-and-characterizations-of-local-rings-1412.8047"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prethick-subcateogries-of-modules-and-characterizations-of-local-rings-1412.8047"/></url>
<url><loc>https://scifaro.com/en/abs/singularity-categories-and-singular-equivalences-for-resolving-subcategories-1412.8061</loc><lastmod>2016-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singularity-categories-and-singular-equivalences-for-resolving-subcategories-1412.8061"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singularity-categories-and-singular-equivalences-for-resolving-subcategories-1412.8061"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-fkg-inequality-for-compositions-1412.8200</loc><lastmod>2017-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-fkg-inequality-for-compositions-1412.8200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-fkg-inequality-for-compositions-1412.8200"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-classes-of-regular-sequences-1412.8265</loc><lastmod>2015-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-classes-of-regular-sequences-1412.8265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-classes-of-regular-sequences-1412.8265"/></url>
<url><loc>https://scifaro.com/en/abs/on-simple-shamsuddin-derivations-in-two-variables-1412.8373</loc><lastmod>2014-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-simple-shamsuddin-derivations-in-two-variables-1412.8373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-simple-shamsuddin-derivations-in-two-variables-1412.8373"/></url>
<url><loc>https://scifaro.com/en/abs/determining-cyclicity-of-finite-modules-1501.00183</loc><lastmod>2015-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determining-cyclicity-of-finite-modules-1501.00183"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determining-cyclicity-of-finite-modules-1501.00183"/></url>
<url><loc>https://scifaro.com/en/abs/the-cone-of-betti-tables-over-three-non-collinear-points-in-the-plane-1501.00207</loc><lastmod>2016-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cone-of-betti-tables-over-three-non-collinear-points-in-the-plane-1501.00207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cone-of-betti-tables-over-three-non-collinear-points-in-the-plane-1501.00207"/></url>
<url><loc>https://scifaro.com/en/abs/the-acyclicity-of-the-frobenius-functor-for-modules-of-finite-flat-dimension-1501.00336</loc><lastmod>2015-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-acyclicity-of-the-frobenius-functor-for-modules-of-finite-flat-dimension-1501.00336"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-acyclicity-of-the-frobenius-functor-for-modules-of-finite-flat-dimension-1501.00336"/></url>
<url><loc>https://scifaro.com/en/abs/some-notes-on-the-k-normal-elements-and-k-normal-polynomials-over-finite-fields-1501.00397</loc><lastmod>2015-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-notes-on-the-k-normal-elements-and-k-normal-polynomials-over-finite-fields-1501.00397"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-notes-on-the-k-normal-elements-and-k-normal-polynomials-over-finite-fields-1501.00397"/></url>
<url><loc>https://scifaro.com/en/abs/lnd-filtrations-and-semi-rigid-domains-1501.00445</loc><lastmod>2015-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lnd-filtrations-and-semi-rigid-domains-1501.00445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lnd-filtrations-and-semi-rigid-domains-1501.00445"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-annihilator-of-local-cohomology-modules-in-characteristic-zero-1501.00718</loc><lastmod>2015-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-annihilator-of-local-cohomology-modules-in-characteristic-zero-1501.00718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-annihilator-of-local-cohomology-modules-in-characteristic-zero-1501.00718"/></url>
<url><loc>https://scifaro.com/en/abs/some-k-theoretic-properties-of-the-kernel-of-a-locally-nilpotent-derivation-on-k-x-1-dots-x-4-1501.01438</loc><lastmod>2015-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-k-theoretic-properties-of-the-kernel-of-a-locally-nilpotent-derivation-on-k-x-1-dots-x-4-1501.01438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-k-theoretic-properties-of-the-kernel-of-a-locally-nilpotent-derivation-on-k-x-1-dots-x-4-1501.01438"/></url>
<url><loc>https://scifaro.com/en/abs/weak-lefschetz-property-and-stellar-subdivisions-of-gorenstein-complexes-1501.01513</loc><lastmod>2020-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-lefschetz-property-and-stellar-subdivisions-of-gorenstein-complexes-1501.01513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-lefschetz-property-and-stellar-subdivisions-of-gorenstein-complexes-1501.01513"/></url>
<url><loc>https://scifaro.com/en/abs/direct-products-in-projective-segre-codes-1501.01692</loc><lastmod>2016-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/direct-products-in-projective-segre-codes-1501.01692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/direct-products-in-projective-segre-codes-1501.01692"/></url>
<url><loc>https://scifaro.com/en/abs/inverse-syst-lib-singular-library-for-computing-macaulay-s-inverse-systems-1501.01786</loc><lastmod>2015-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inverse-syst-lib-singular-library-for-computing-macaulay-s-inverse-systems-1501.01786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inverse-syst-lib-singular-library-for-computing-macaulay-s-inverse-systems-1501.01786"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-modules-and-auslander-categories-1501.02066</loc><lastmod>2016-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-modules-and-auslander-categories-1501.02066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-modules-and-auslander-categories-1501.02066"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-via-facet-covers-1501.02496</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-via-facet-covers-1501.02496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-via-facet-covers-1501.02496"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohen-macaulayness-and-depth-of-ideals-in-invariant-rings-1501.03126</loc><lastmod>2016-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohen-macaulayness-and-depth-of-ideals-in-invariant-rings-1501.03126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohen-macaulayness-and-depth-of-ideals-in-invariant-rings-1501.03126"/></url>
<url><loc>https://scifaro.com/en/abs/perinormality-a-generalization-of-krull-domains-1501.03411</loc><lastmod>2016-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perinormality-a-generalization-of-krull-domains-1501.03411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perinormality-a-generalization-of-krull-domains-1501.03411"/></url>
<url><loc>https://scifaro.com/en/abs/on-maximal-subalgebras-1501.03753</loc><lastmod>2017-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-maximal-subalgebras-1501.03753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-maximal-subalgebras-1501.03753"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-about-endomorphism-rings-for-local-cohomology-defined-by-a-pair-of-ideals-1501.04464</loc><lastmod>2015-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-about-endomorphism-rings-for-local-cohomology-defined-by-a-pair-of-ideals-1501.04464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-about-endomorphism-rings-for-local-cohomology-defined-by-a-pair-of-ideals-1501.04464"/></url>
<url><loc>https://scifaro.com/en/abs/letterplace-and-co-letterplace-ideals-of-posets-1501.04523</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/letterplace-and-co-letterplace-ideals-of-posets-1501.04523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/letterplace-and-co-letterplace-ideals-of-posets-1501.04523"/></url>
<url><loc>https://scifaro.com/en/abs/a-test-for-monomial-containment-1501.04543</loc><lastmod>2017-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-test-for-monomial-containment-1501.04543"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-test-for-monomial-containment-1501.04543"/></url>
<url><loc>https://scifaro.com/en/abs/a-decision-method-for-the-integrability-of-differential-algebraic-pfaffian-systems-1501.04941</loc><lastmod>2015-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-decision-method-for-the-integrability-of-differential-algebraic-pfaffian-systems-1501.04941"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-decision-method-for-the-integrability-of-differential-algebraic-pfaffian-systems-1501.04941"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stable-hom-relation-and-stable-degenerations-of-cohen-macaulay-modules-1501.05027</loc><lastmod>2017-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stable-hom-relation-and-stable-degenerations-of-cohen-macaulay-modules-1501.05027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stable-hom-relation-and-stable-degenerations-of-cohen-macaulay-modules-1501.05027"/></url>
<url><loc>https://scifaro.com/en/abs/simple-polyominoes-are-prime-1501.05107</loc><lastmod>2015-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-polyominoes-are-prime-1501.05107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-polyominoes-are-prime-1501.05107"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-fibers-and-indispensable-binomials-1501.05142</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-fibers-and-indispensable-binomials-1501.05142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-fibers-and-indispensable-binomials-1501.05142"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-commuting-matrices-1501.05190</loc><lastmod>2015-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-commuting-matrices-1501.05190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-commuting-matrices-1501.05190"/></url>
<url><loc>https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-ideals-of-commutative-rings-1501.05243</loc><lastmod>2015-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-ideals-of-commutative-rings-1501.05243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-ideals-of-commutative-rings-1501.05243"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-semi-hereditary-rings-with-respect-to-a-semidualizing-module-1501.05410</loc><lastmod>2015-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-semi-hereditary-rings-with-respect-to-a-semidualizing-module-1501.05410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-semi-hereditary-rings-with-respect-to-a-semidualizing-module-1501.05410"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-regularity-of-powers-of-sums-of-ideals-1501.06038</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-regularity-of-powers-of-sums-of-ideals-1501.06038"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-regularity-of-powers-of-sums-of-ideals-1501.06038"/></url>
<url><loc>https://scifaro.com/en/abs/rational-maps-h-for-which-k-th-has-transcendence-degree-2-over-k-1501.06046</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-maps-h-for-which-k-th-has-transcendence-degree-2-over-k-1501.06046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-maps-h-for-which-k-th-has-transcendence-degree-2-over-k-1501.06046"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohomological-invariants-of-local-rings-in-positive-characteristic-1501.06600</loc><lastmod>2015-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohomological-invariants-of-local-rings-in-positive-characteristic-1501.06600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohomological-invariants-of-local-rings-in-positive-characteristic-1501.06600"/></url>
<url><loc>https://scifaro.com/en/abs/graded-version-of-some-basic-theorems-on-local-cohomology-to-a-pair-of-ideals-1501.06766</loc><lastmod>2015-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-version-of-some-basic-theorems-on-local-cohomology-to-a-pair-of-ideals-1501.06766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-version-of-some-basic-theorems-on-local-cohomology-to-a-pair-of-ideals-1501.06766"/></url>
<url><loc>https://scifaro.com/en/abs/differential-galois-groups-over-laurent-series-fields-1501.06884</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-galois-groups-over-laurent-series-fields-1501.06884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-galois-groups-over-laurent-series-fields-1501.06884"/></url>
<url><loc>https://scifaro.com/en/abs/noetherianity-of-some-degree-two-twisted-commutative-algebras-1501.06925</loc><lastmod>2016-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherianity-of-some-degree-two-twisted-commutative-algebras-1501.06925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherianity-of-some-degree-two-twisted-commutative-algebras-1501.06925"/></url>
<url><loc>https://scifaro.com/en/abs/the-quadratic-complete-intersections-with-the-action-of-the-symmetric-group-1501.06982</loc><lastmod>2015-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-quadratic-complete-intersections-with-the-action-of-the-symmetric-group-1501.06982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-quadratic-complete-intersections-with-the-action-of-the-symmetric-group-1501.06982"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-monotonicity-of-hilbert-functions-1501.07395</loc><lastmod>2015-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-monotonicity-of-hilbert-functions-1501.07395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-monotonicity-of-hilbert-functions-1501.07395"/></url>
<url><loc>https://scifaro.com/en/abs/growth-of-hilbert-coefficients-of-syzygy-modules-1501.07403</loc><lastmod>2015-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/growth-of-hilbert-coefficients-of-syzygy-modules-1501.07403"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/growth-of-hilbert-coefficients-of-syzygy-modules-1501.07403"/></url>
<url><loc>https://scifaro.com/en/abs/partitions-of-elements-in-a-monoid-and-its-applications-to-systems-theory-1502.00025</loc><lastmod>2015-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partitions-of-elements-in-a-monoid-and-its-applications-to-systems-theory-1502.00025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partitions-of-elements-in-a-monoid-and-its-applications-to-systems-theory-1502.00025"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-orlik-terao-ideal-and-the-relation-space-of-a-hyperplane-arrangement-1502.01005</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-orlik-terao-ideal-and-the-relation-space-of-a-hyperplane-arrangement-1502.01005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-orlik-terao-ideal-and-the-relation-space-of-a-hyperplane-arrangement-1502.01005"/></url>
<url><loc>https://scifaro.com/en/abs/complex-and-real-ranks-of-reducible-cubics-1502.01051</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complex-and-real-ranks-of-reducible-cubics-1502.01051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complex-and-real-ranks-of-reducible-cubics-1502.01051"/></url>
<url><loc>https://scifaro.com/en/abs/e-computable-forms-and-the-strassen-conjecture-1502.01107</loc><lastmod>2015-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/e-computable-forms-and-the-strassen-conjecture-1502.01107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/e-computable-forms-and-the-strassen-conjecture-1502.01107"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-completion-homology-modules-1502.01108</loc><lastmod>2017-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-completion-homology-modules-1502.01108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-completion-homology-modules-1502.01108"/></url>
<url><loc>https://scifaro.com/en/abs/the-galois-closure-for-rings-and-some-related-constructions-1502.01210</loc><lastmod>2015-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-galois-closure-for-rings-and-some-related-constructions-1502.01210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-galois-closure-for-rings-and-some-related-constructions-1502.01210"/></url>
<url><loc>https://scifaro.com/en/abs/refined-algorithms-to-compute-syzygies-1502.01654</loc><lastmod>2016-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/refined-algorithms-to-compute-syzygies-1502.01654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/refined-algorithms-to-compute-syzygies-1502.01654"/></url>
<url><loc>https://scifaro.com/en/abs/the-hilbert-series-of-the-ring-associated-to-an-almost-alternating-matrix-1502.02569</loc><lastmod>2015-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hilbert-series-of-the-ring-associated-to-an-almost-alternating-matrix-1502.02569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hilbert-series-of-the-ring-associated-to-an-almost-alternating-matrix-1502.02569"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-hypersurfaces-1502.03184</loc><lastmod>2015-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-hypersurfaces-1502.03184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-hypersurfaces-1502.03184"/></url>
<url><loc>https://scifaro.com/en/abs/blow-up-algebras-determinantal-ideals-and-dedekind-mertens-like-formulas-1502.03484</loc><lastmod>2016-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blow-up-algebras-determinantal-ideals-and-dedekind-mertens-like-formulas-1502.03484"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blow-up-algebras-determinantal-ideals-and-dedekind-mertens-like-formulas-1502.03484"/></url>
<url><loc>https://scifaro.com/en/abs/nonsimple-polyominoes-and-prime-ideals-1502.03669</loc><lastmod>2015-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nonsimple-polyominoes-and-prime-ideals-1502.03669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nonsimple-polyominoes-and-prime-ideals-1502.03669"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04970</loc><lastmod>2015-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04970"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04978</loc><lastmod>2015-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04978"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-attached-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04982</loc><lastmod>2015-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-attached-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-attached-prime-ideals-of-local-cohomology-modules-defined-by-a-pair-of-ideals-1502.04982"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-piecewiselex-ideals-1502.05014</loc><lastmod>2021-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-piecewiselex-ideals-1502.05014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-piecewiselex-ideals-1502.05014"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-covers-and-envelopes-of-a-left-orthogonal-class-and-its-right-orthogonal-class-of-modules-1502.05172</loc><lastmod>2019-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-covers-and-envelopes-of-a-left-orthogonal-class-and-its-right-orthogonal-class-of-modules-1502.05172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-covers-and-envelopes-of-a-left-orthogonal-class-and-its-right-orthogonal-class-of-modules-1502.05172"/></url>
<url><loc>https://scifaro.com/en/abs/equimultiple-coefficient-ideals-1502.05231</loc><lastmod>2015-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equimultiple-coefficient-ideals-1502.05231"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equimultiple-coefficient-ideals-1502.05231"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-ideals-over-finite-fields-1502.05451</loc><lastmod>2019-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-ideals-over-finite-fields-1502.05451"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-ideals-over-finite-fields-1502.05451"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relationship-between-depth-and-cohomological-dimension-1502.06077</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relationship-between-depth-and-cohomological-dimension-1502.06077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relationship-between-depth-and-cohomological-dimension-1502.06077"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-modules-1502.06584</loc><lastmod>2015-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-modules-1502.06584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-rees-algebras-of-modules-1502.06584"/></url>
<url><loc>https://scifaro.com/en/abs/extension-closedness-of-syzygies-and-local-gorensteinness-of-commutative-rings-1502.06653</loc><lastmod>2015-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-closedness-of-syzygies-and-local-gorensteinness-of-commutative-rings-1502.06653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-closedness-of-syzygies-and-local-gorensteinness-of-commutative-rings-1502.06653"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-series-of-ideals-generated-by-generic-forms-1502.06762</loc><lastmod>2017-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-ideals-generated-by-generic-forms-1502.06762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-ideals-generated-by-generic-forms-1502.06762"/></url>
<url><loc>https://scifaro.com/en/abs/some-more-combinatorics-results-on-nagata-extensions-1502.07247</loc><lastmod>2015-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-more-combinatorics-results-on-nagata-extensions-1502.07247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-more-combinatorics-results-on-nagata-extensions-1502.07247"/></url>
<url><loc>https://scifaro.com/en/abs/divisionally-free-arrangements-of-hyperplanes-1502.07520</loc><lastmod>2017-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisionally-free-arrangements-of-hyperplanes-1502.07520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisionally-free-arrangements-of-hyperplanes-1502.07520"/></url>
<url><loc>https://scifaro.com/en/abs/galois-correspondence-theorem-for-picard-vessiot-extensions-1502.08026</loc><lastmod>2017-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-correspondence-theorem-for-picard-vessiot-extensions-1502.08026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-correspondence-theorem-for-picard-vessiot-extensions-1502.08026"/></url>
<url><loc>https://scifaro.com/en/abs/on-phi-n-absorbing-primary-ideals-of-commutative-rings-1503.00108</loc><lastmod>2015-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-phi-n-absorbing-primary-ideals-of-commutative-rings-1503.00108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-phi-n-absorbing-primary-ideals-of-commutative-rings-1503.00108"/></url>
<url><loc>https://scifaro.com/en/abs/on-2-absorbing-primary-submodules-of-modules-over-commutative-rings-1503.00308</loc><lastmod>2015-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-2-absorbing-primary-submodules-of-modules-over-commutative-rings-1503.00308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-2-absorbing-primary-submodules-of-modules-over-commutative-rings-1503.00308"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-robust-toric-ideals-1503.00367</loc><lastmod>2018-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-robust-toric-ideals-1503.00367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-robust-toric-ideals-1503.00367"/></url>
<url><loc>https://scifaro.com/en/abs/parity-binomial-edge-ideals-1503.00584</loc><lastmod>2017-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parity-binomial-edge-ideals-1503.00584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parity-binomial-edge-ideals-1503.00584"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-interpolation-exchange-lemma-and-sylvester-sums-1503.00607</loc><lastmod>2016-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-interpolation-exchange-lemma-and-sylvester-sums-1503.00607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-interpolation-exchange-lemma-and-sylvester-sums-1503.00607"/></url>
<url><loc>https://scifaro.com/en/abs/some-computations-of-generalized-hilbert-kunz-function-and-multiplicity-1503.00894</loc><lastmod>2015-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-computations-of-generalized-hilbert-kunz-function-and-multiplicity-1503.00894"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-computations-of-generalized-hilbert-kunz-function-and-multiplicity-1503.00894"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-module-1503.00910</loc><lastmod>2015-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-module-1503.00910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-compute-the-stanley-depth-of-a-module-1503.00910"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-sets-of-clutter-type-over-finite-fields-1503.01404</loc><lastmod>2018-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-sets-of-clutter-type-over-finite-fields-1503.01404"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-vanishing-ideals-on-sets-of-clutter-type-over-finite-fields-1503.01404"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-constructing-certain-differential-operators-in-positive-characteristic-1503.01419</loc><lastmod>2018-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-constructing-certain-differential-operators-in-positive-characteristic-1503.01419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-constructing-certain-differential-operators-in-positive-characteristic-1503.01419"/></url>
<url><loc>https://scifaro.com/en/abs/stable-local-cohomology-1503.01536</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-local-cohomology-1503.01536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-local-cohomology-1503.01536"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-associated-with-scrolls-1503.01950</loc><lastmod>2015-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-associated-with-scrolls-1503.01950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-associated-with-scrolls-1503.01950"/></url>
<url><loc>https://scifaro.com/en/abs/an-embedding-problem-of-noetherian-rings-into-the-witt-vectors-1503.02018</loc><lastmod>2017-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-embedding-problem-of-noetherian-rings-into-the-witt-vectors-1503.02018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-embedding-problem-of-noetherian-rings-into-the-witt-vectors-1503.02018"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-vanishing-ideals-1503.02323</loc><lastmod>2015-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-vanishing-ideals-1503.02323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-vanishing-ideals-1503.02323"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-characterizations-of-the-saturation-and-the-associated-primes-of-the-fourth-power-of-edge-ideals-1503.02396</loc><lastmod>2015-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-characterizations-of-the-saturation-and-the-associated-primes-of-the-fourth-power-of-edge-ideals-1503.02396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-characterizations-of-the-saturation-and-the-associated-primes-of-the-fourth-power-of-edge-ideals-1503.02396"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-monomial-rota-baxter-operators-on-k-x-1503.02606</loc><lastmod>2015-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-monomial-rota-baxter-operators-on-k-x-1503.02606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-monomial-rota-baxter-operators-on-k-x-1503.02606"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-decomposition-of-binomial-ideals-1503.02607</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-decomposition-of-binomial-ideals-1503.02607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-decomposition-of-binomial-ideals-1503.02607"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-graded-free-resolution-for-monomial-curves-in-mathbb-a-4-defined-by-almost-arithmetic-sequences-1503.02687</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-graded-free-resolution-for-monomial-curves-in-mathbb-a-4-defined-by-almost-arithmetic-sequences-1503.02687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-graded-free-resolution-for-monomial-curves-in-mathbb-a-4-defined-by-almost-arithmetic-sequences-1503.02687"/></url>
<url><loc>https://scifaro.com/en/abs/the-degree-sequence-of-ideals-and-multiplicities-1503.02755</loc><lastmod>2015-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-degree-sequence-of-ideals-and-multiplicities-1503.02755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-degree-sequence-of-ideals-and-multiplicities-1503.02755"/></url>
<url><loc>https://scifaro.com/en/abs/on-finite-type-epimorphisms-of-rings-1503.02876</loc><lastmod>2018-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-finite-type-epimorphisms-of-rings-1503.02876"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-finite-type-epimorphisms-of-rings-1503.02876"/></url>
<url><loc>https://scifaro.com/en/abs/deformations-of-the-exterior-algebra-of-differential-forms-1503.03032</loc><lastmod>2020-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-the-exterior-algebra-of-differential-forms-1503.03032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-the-exterior-algebra-of-differential-forms-1503.03032"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-frobenius-complexity-of-determinantal-rings-1503.03164</loc><lastmod>2015-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-frobenius-complexity-of-determinantal-rings-1503.03164"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-frobenius-complexity-of-determinantal-rings-1503.03164"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-simplicial-complexes-and-expansion-functor-1503.03229</loc><lastmod>2017-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-simplicial-complexes-and-expansion-functor-1503.03229"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-ness-in-codimension-for-simplicial-complexes-and-expansion-functor-1503.03229"/></url>
<url><loc>https://scifaro.com/en/abs/the-behaviors-of-expansion-functor-on-monomial-ideals-and-toric-rings-1503.03603</loc><lastmod>2017-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-behaviors-of-expansion-functor-on-monomial-ideals-and-toric-rings-1503.03603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-behaviors-of-expansion-functor-on-monomial-ideals-and-toric-rings-1503.03603"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-and-size-of-monomial-ideals-1503.03736</loc><lastmod>2015-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-and-size-of-monomial-ideals-1503.03736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-and-size-of-monomial-ideals-1503.03736"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-2-minors-of-hankel-matrices-1503.03847</loc><lastmod>2015-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-2-minors-of-hankel-matrices-1503.03847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-2-minors-of-hankel-matrices-1503.03847"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-dualizing-modules-1503.04295</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-dualizing-modules-1503.04295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-dualizing-modules-1503.04295"/></url>
<url><loc>https://scifaro.com/en/abs/flat-topology-and-its-dual-aspects-1503.04299</loc><lastmod>2021-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-topology-and-its-dual-aspects-1503.04299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-topology-and-its-dual-aspects-1503.04299"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-approach-to-finite-projective-planes-1503.04335</loc><lastmod>2016-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-approach-to-finite-projective-planes-1503.04335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-approach-to-finite-projective-planes-1503.04335"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-class-groups-via-sets-of-lengths-1503.04679</loc><lastmod>2019-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-class-groups-via-sets-of-lengths-1503.04679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-class-groups-via-sets-of-lengths-1503.04679"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-of-nonsimple-polyominoes-1503.04782</loc><lastmod>2015-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-of-nonsimple-polyominoes-1503.04782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-of-nonsimple-polyominoes-1503.04782"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-algebraicity-of-puiseux-series-1503.04965</loc><lastmod>2018-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-algebraicity-of-puiseux-series-1503.04965"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-algebraicity-of-puiseux-series-1503.04965"/></url>
<url><loc>https://scifaro.com/en/abs/local-homology-with-respect-to-a-pair-of-ideals-1503.05137</loc><lastmod>2015-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-homology-with-respect-to-a-pair-of-ideals-1503.05137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-homology-with-respect-to-a-pair-of-ideals-1503.05137"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-discriminant-algebra-construction-1503.05318</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-discriminant-algebra-construction-1503.05318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-discriminant-algebra-construction-1503.05318"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-product-of-c-injective-modules-1503.05492</loc><lastmod>2016-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-product-of-c-injective-modules-1503.05492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-product-of-c-injective-modules-1503.05492"/></url>
<url><loc>https://scifaro.com/en/abs/principal-minor-ideals-and-rank-restrictions-on-their-vanishing-sets-1503.05799</loc><lastmod>2016-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/principal-minor-ideals-and-rank-restrictions-on-their-vanishing-sets-1503.05799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/principal-minor-ideals-and-rank-restrictions-on-their-vanishing-sets-1503.05799"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-on-compound-sequences-1503.05993</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-on-compound-sequences-1503.05993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-on-compound-sequences-1503.05993"/></url>
<url><loc>https://scifaro.com/en/abs/the-lattice-of-primary-ideals-of-orders-in-quadratic-number-fields-1503.06033</loc><lastmod>2018-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lattice-of-primary-ideals-of-orders-in-quadratic-number-fields-1503.06033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lattice-of-primary-ideals-of-orders-in-quadratic-number-fields-1503.06033"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-overrings-of-rm-int-mathbb-z-1503.06035</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-overrings-of-rm-int-mathbb-z-1503.06035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-overrings-of-rm-int-mathbb-z-1503.06035"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-and-arithmetical-rank-of-some-determinantal-ideals-1503.06184</loc><lastmod>2018-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-and-arithmetical-rank-of-some-determinantal-ideals-1503.06184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-and-arithmetical-rank-of-some-determinantal-ideals-1503.06184"/></url>
<url><loc>https://scifaro.com/en/abs/artinianness-and-finiteness-of-formal-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1503.06784</loc><lastmod>2015-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinianness-and-finiteness-of-formal-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1503.06784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinianness-and-finiteness-of-formal-local-cohomology-modules-with-respect-to-a-pair-of-ideals-1503.06784"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-darboux-polynomials-of-monomial-derivations-1503.07011</loc><lastmod>2015-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-darboux-polynomials-of-monomial-derivations-1503.07011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-darboux-polynomials-of-monomial-derivations-1503.07011"/></url>
<url><loc>https://scifaro.com/en/abs/algebraically-rigid-simplicial-complexes-and-graphs-1503.08080</loc><lastmod>2021-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraically-rigid-simplicial-complexes-and-graphs-1503.08080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraically-rigid-simplicial-complexes-and-graphs-1503.08080"/></url>
<url><loc>https://scifaro.com/en/abs/on-factorization-invariants-and-hilbert-functions-1503.08351</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-factorization-invariants-and-hilbert-functions-1503.08351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-factorization-invariants-and-hilbert-functions-1503.08351"/></url>
<url><loc>https://scifaro.com/en/abs/the-realization-problem-for-delta-sets-of-numerical-semigroups-1503.08496</loc><lastmod>2022-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-realization-problem-for-delta-sets-of-numerical-semigroups-1503.08496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-realization-problem-for-delta-sets-of-numerical-semigroups-1503.08496"/></url>
<url><loc>https://scifaro.com/en/abs/totalseparierte-moduln-1504.00168</loc><lastmod>2015-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totalseparierte-moduln-1504.00168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totalseparierte-moduln-1504.00168"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-growth-of-deviations-1504.01066</loc><lastmod>2017-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-growth-of-deviations-1504.01066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-growth-of-deviations-1504.01066"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cohomological-dimension-of-local-cohomology-modules-1504.01148</loc><lastmod>2016-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cohomological-dimension-of-local-cohomology-modules-1504.01148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cohomological-dimension-of-local-cohomology-modules-1504.01148"/></url>
<url><loc>https://scifaro.com/en/abs/the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-1504.01403</loc><lastmod>2015-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-1504.01403"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-1504.01403"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-and-dg-algebra-resolutions-1504.01450</loc><lastmod>2015-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-and-dg-algebra-resolutions-1504.01450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-and-dg-algebra-resolutions-1504.01450"/></url>
<url><loc>https://scifaro.com/en/abs/alexander-duality-for-monomial-ideals-associated-with-isotone-maps-between-posets-1504.01520</loc><lastmod>2015-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duality-for-monomial-ideals-associated-with-isotone-maps-between-posets-1504.01520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duality-for-monomial-ideals-associated-with-isotone-maps-between-posets-1504.01520"/></url>
<url><loc>https://scifaro.com/en/abs/mora-s-holy-grail-algorithms-for-computing-in-localizations-at-prime-ideals-1504.01648</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mora-s-holy-grail-algorithms-for-computing-in-localizations-at-prime-ideals-1504.01648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mora-s-holy-grail-algorithms-for-computing-in-localizations-at-prime-ideals-1504.01648"/></url>
<url><loc>https://scifaro.com/en/abs/delta-sets-for-numerical-semigroups-with-embedding-dimension-three-1504.02116</loc><lastmod>2015-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/delta-sets-for-numerical-semigroups-with-embedding-dimension-three-1504.02116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/delta-sets-for-numerical-semigroups-with-embedding-dimension-three-1504.02116"/></url>
<url><loc>https://scifaro.com/en/abs/super-finitely-presented-modules-and-gorenstein-projective-modules-1504.02832</loc><lastmod>2017-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/super-finitely-presented-modules-and-gorenstein-projective-modules-1504.02832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/super-finitely-presented-modules-and-gorenstein-projective-modules-1504.02832"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-local-cohomology-of-the-absolute-integral-closure-in-positive-characteristic-1504.02925</loc><lastmod>2016-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-local-cohomology-of-the-absolute-integral-closure-in-positive-characteristic-1504.02925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-local-cohomology-of-the-absolute-integral-closure-in-positive-characteristic-1504.02925"/></url>
<url><loc>https://scifaro.com/en/abs/waldschmidt-constants-for-stanley-reisner-ideals-of-a-class-of-simplicial-complexes-1504.04201</loc><lastmod>2015-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/waldschmidt-constants-for-stanley-reisner-ideals-of-a-class-of-simplicial-complexes-1504.04201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/waldschmidt-constants-for-stanley-reisner-ideals-of-a-class-of-simplicial-complexes-1504.04201"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-filtration-sequential-cohen-macaulayness-and-a-new-polynomial-invariant-of-graded-algebras-1504.04328</loc><lastmod>2015-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-filtration-sequential-cohen-macaulayness-and-a-new-polynomial-invariant-of-graded-algebras-1504.04328"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-filtration-sequential-cohen-macaulayness-and-a-new-polynomial-invariant-of-graded-algebras-1504.04328"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-over-algebraic-number-fields-1504.04564</loc><lastmod>2015-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-over-algebraic-number-fields-1504.04564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-over-algebraic-number-fields-1504.04564"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-tor-for-weakly-stable-ideals-1504.04718</loc><lastmod>2015-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-tor-for-weakly-stable-ideals-1504.04718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-tor-for-weakly-stable-ideals-1504.04718"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-asymptotic-behavior-of-the-linearity-defect-1504.04853</loc><lastmod>2016-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-asymptotic-behavior-of-the-linearity-defect-1504.04853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-asymptotic-behavior-of-the-linearity-defect-1504.04853"/></url>
<url><loc>https://scifaro.com/en/abs/the-golod-property-for-stanley-reisner-rings-in-varying-characteristic-1504.05037</loc><lastmod>2016-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-golod-property-for-stanley-reisner-rings-in-varying-characteristic-1504.05037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-golod-property-for-stanley-reisner-rings-in-varying-characteristic-1504.05037"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-gap-between-rank-and-border-rank-1504.05597</loc><lastmod>2017-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-gap-between-rank-and-border-rank-1504.05597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-gap-between-rank-and-border-rank-1504.05597"/></url>
<url><loc>https://scifaro.com/en/abs/poincare-series-of-non-divisorial-valuations-on-two-dimensional-function-fields-1504.05656</loc><lastmod>2026-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincare-series-of-non-divisorial-valuations-on-two-dimensional-function-fields-1504.05656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincare-series-of-non-divisorial-valuations-on-two-dimensional-function-fields-1504.05656"/></url>
<url><loc>https://scifaro.com/en/abs/the-chern-coefficient-and-cohen-macaulay-rings-1504.06037</loc><lastmod>2015-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-chern-coefficient-and-cohen-macaulay-rings-1504.06037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-chern-coefficient-and-cohen-macaulay-rings-1504.06037"/></url>
<url><loc>https://scifaro.com/en/abs/eventually-index-of-reducibility-on-sequentially-cohen-macaulay-modules-1504.06041</loc><lastmod>2015-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eventually-index-of-reducibility-on-sequentially-cohen-macaulay-modules-1504.06041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eventually-index-of-reducibility-on-sequentially-cohen-macaulay-modules-1504.06041"/></url>
<url><loc>https://scifaro.com/en/abs/annihilation-of-cohomology-generation-of-modules-and-finiteness-of-derived-dimension-1504.06163</loc><lastmod>2015-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilation-of-cohomology-generation-of-modules-and-finiteness-of-derived-dimension-1504.06163"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilation-of-cohomology-generation-of-modules-and-finiteness-of-derived-dimension-1504.06163"/></url>
<url><loc>https://scifaro.com/en/abs/cluster-algebras-of-type-d-pseudotriangulations-approach-1504.06377</loc><lastmod>2023-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cluster-algebras-of-type-d-pseudotriangulations-approach-1504.06377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cluster-algebras-of-type-d-pseudotriangulations-approach-1504.06377"/></url>
<url><loc>https://scifaro.com/en/abs/topics-on-sequentially-cohen-macaulay-modules-1504.06783</loc><lastmod>2015-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topics-on-sequentially-cohen-macaulay-modules-1504.06783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topics-on-sequentially-cohen-macaulay-modules-1504.06783"/></url>
<url><loc>https://scifaro.com/en/abs/around-general-neron-desingularization-1504.06938</loc><lastmod>2015-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/around-general-neron-desingularization-1504.06938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/around-general-neron-desingularization-1504.06938"/></url>
<url><loc>https://scifaro.com/en/abs/the-poincar-e-series-for-the-algebras-of-joint-invariants-and-covariants-of-n-linear-forms-1504.07141</loc><lastmod>2015-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-poincar-e-series-for-the-algebras-of-joint-invariants-and-covariants-of-n-linear-forms-1504.07141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-poincar-e-series-for-the-algebras-of-joint-invariants-and-covariants-of-n-linear-forms-1504.07141"/></url>
<url><loc>https://scifaro.com/en/abs/an-overview-of-the-computational-aspects-of-nonunique-factorization-invariants-1504.07424</loc><lastmod>2015-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-overview-of-the-computational-aspects-of-nonunique-factorization-invariants-1504.07424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-overview-of-the-computational-aspects-of-nonunique-factorization-invariants-1504.07424"/></url>
<url><loc>https://scifaro.com/en/abs/the-berkovits-complex-and-semi-free-extensions-of-koszul-algebras-1504.07489</loc><lastmod>2015-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-berkovits-complex-and-semi-free-extensions-of-koszul-algebras-1504.07489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-berkovits-complex-and-semi-free-extensions-of-koszul-algebras-1504.07489"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-modules-over-cyclic-quotient-surface-singularities-1504.07688</loc><lastmod>2017-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-modules-over-cyclic-quotient-surface-singularities-1504.07688"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-modules-over-cyclic-quotient-surface-singularities-1504.07688"/></url>
<url><loc>https://scifaro.com/en/abs/dependence-of-supertropical-eigenspaces-1504.07986</loc><lastmod>2016-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dependence-of-supertropical-eigenspaces-1504.07986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dependence-of-supertropical-eigenspaces-1504.07986"/></url>
<url><loc>https://scifaro.com/en/abs/testing-for-the-gorenstein-property-1504.08014</loc><lastmod>2015-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/testing-for-the-gorenstein-property-1504.08014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/testing-for-the-gorenstein-property-1504.08014"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-preenvelopes-with-respect-to-maximal-cohen-macaulay-modules-1504.08176</loc><lastmod>2015-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-preenvelopes-with-respect-to-maximal-cohen-macaulay-modules-1504.08176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-preenvelopes-with-respect-to-maximal-cohen-macaulay-modules-1504.08176"/></url>
<url><loc>https://scifaro.com/en/abs/orbits-and-invariants-of-super-weyl-groupoid-1504.08310</loc><lastmod>2016-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/orbits-and-invariants-of-super-weyl-groupoid-1504.08310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/orbits-and-invariants-of-super-weyl-groupoid-1504.08310"/></url>
<url><loc>https://scifaro.com/en/abs/the-cleanness-of-symbolic-powers-of-stanley-reisner-ideals-1505.00634</loc><lastmod>2015-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cleanness-of-symbolic-powers-of-stanley-reisner-ideals-1505.00634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cleanness-of-symbolic-powers-of-stanley-reisner-ideals-1505.00634"/></url>
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<url><loc>https://scifaro.com/en/abs/van-den-essen-s-theorem-on-the-de-rham-cohomology-of-a-holonomic-d-module-over-a-formal-power-series-ring-1505.01788</loc><lastmod>2016-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/van-den-essen-s-theorem-on-the-de-rham-cohomology-of-a-holonomic-d-module-over-a-formal-power-series-ring-1505.01788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/van-den-essen-s-theorem-on-the-de-rham-cohomology-of-a-holonomic-d-module-over-a-formal-power-series-ring-1505.01788"/></url>
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<url><loc>https://scifaro.com/en/abs/on-the-last-fall-degree-of-zero-dimensional-weil-descent-systems-1505.02532</loc><lastmod>2015-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-last-fall-degree-of-zero-dimensional-weil-descent-systems-1505.02532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-last-fall-degree-of-zero-dimensional-weil-descent-systems-1505.02532"/></url>
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<url><loc>https://scifaro.com/en/abs/fuchs-problem-for-indecomposable-abelian-groups-1505.03508</loc><lastmod>2015-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fuchs-problem-for-indecomposable-abelian-groups-1505.03508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fuchs-problem-for-indecomposable-abelian-groups-1505.03508"/></url>
<url><loc>https://scifaro.com/en/abs/hochschild-cohomology-commutes-with-adic-completion-1505.04172</loc><lastmod>2016-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochschild-cohomology-commutes-with-adic-completion-1505.04172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochschild-cohomology-commutes-with-adic-completion-1505.04172"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-gr-obner-bases-of-twinned-order-polytopes-1505.04289</loc><lastmod>2015-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-gr-obner-bases-of-twinned-order-polytopes-1505.04289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-gr-obner-bases-of-twinned-order-polytopes-1505.04289"/></url>
<url><loc>https://scifaro.com/en/abs/sally-modules-and-reduction-numbers-of-ideals-1505.04687</loc><lastmod>2015-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sally-modules-and-reduction-numbers-of-ideals-1505.04687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sally-modules-and-reduction-numbers-of-ideals-1505.04687"/></url>
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<url><loc>https://scifaro.com/en/abs/a-matrix-of-linear-forms-which-is-annihilated-by-a-vector-of-indeterminates-1505.05206</loc><lastmod>2015-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-matrix-of-linear-forms-which-is-annihilated-by-a-vector-of-indeterminates-1505.05206"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-matrix-of-linear-forms-which-is-annihilated-by-a-vector-of-indeterminates-1505.05206"/></url>
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<url><loc>https://scifaro.com/en/abs/the-interplay-of-invariant-theory-with-multiplicative-ideal-theory-and-with-arithmetic-combinatorics-1505.06059</loc><lastmod>2016-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-interplay-of-invariant-theory-with-multiplicative-ideal-theory-and-with-arithmetic-combinatorics-1505.06059"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-interplay-of-invariant-theory-with-multiplicative-ideal-theory-and-with-arithmetic-combinatorics-1505.06059"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-whiskered-cycles-1505.06096</loc><lastmod>2015-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-whiskered-cycles-1505.06096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-whiskered-cycles-1505.06096"/></url>
<url><loc>https://scifaro.com/en/abs/uniformly-2-absorbing-primary-ideals-of-commutative-rings-1505.06412</loc><lastmod>2015-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniformly-2-absorbing-primary-ideals-of-commutative-rings-1505.06412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniformly-2-absorbing-primary-ideals-of-commutative-rings-1505.06412"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-theory-of-infinite-directed-unions-of-local-quadratic-transforms-1505.06445</loc><lastmod>2016-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-theory-of-infinite-directed-unions-of-local-quadratic-transforms-1505.06445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-theory-of-infinite-directed-unions-of-local-quadratic-transforms-1505.06445"/></url>
<url><loc>https://scifaro.com/en/abs/idempotent-plethories-1505.06493</loc><lastmod>2025-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/idempotent-plethories-1505.06493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/idempotent-plethories-1505.06493"/></url>
<url><loc>https://scifaro.com/en/abs/classical-2-absorbing-submodules-of-modules-over-commutative-rings-1505.06564</loc><lastmod>2015-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classical-2-absorbing-submodules-of-modules-over-commutative-rings-1505.06564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classical-2-absorbing-submodules-of-modules-over-commutative-rings-1505.06564"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-classical-prime-submodules-1505.06730</loc><lastmod>2016-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-classical-prime-submodules-1505.06730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-classical-prime-submodules-1505.06730"/></url>
<url><loc>https://scifaro.com/en/abs/calculating-differential-galois-groups-of-parametrized-differential-equations-with-applications-to-hypertranscendence-1505.07068</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/calculating-differential-galois-groups-of-parametrized-differential-equations-with-applications-to-hypertranscendence-1505.07068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/calculating-differential-galois-groups-of-parametrized-differential-equations-with-applications-to-hypertranscendence-1505.07068"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-a-known-special-case-of-the-jacobian-conjecture-1505.07303</loc><lastmod>2015-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-a-known-special-case-of-the-jacobian-conjecture-1505.07303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-a-known-special-case-of-the-jacobian-conjecture-1505.07303"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-ideals-of-poset-homomorphisms-1505.07581</loc><lastmod>2016-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-ideals-of-poset-homomorphisms-1505.07581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-ideals-of-poset-homomorphisms-1505.07581"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-with-a-given-set-of-pseudo-frobenius-numbers-1505.08111</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-with-a-given-set-of-pseudo-frobenius-numbers-1505.08111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-with-a-given-set-of-pseudo-frobenius-numbers-1505.08111"/></url>
<url><loc>https://scifaro.com/en/abs/locally-nilpotent-derivations-and-automorphism-groups-of-certain-danielewski-surfaces-1506.00164</loc><lastmod>2017-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-nilpotent-derivations-and-automorphism-groups-of-certain-danielewski-surfaces-1506.00164"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-nilpotent-derivations-and-automorphism-groups-of-certain-danielewski-surfaces-1506.00164"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-gr-obner-bases-arising-from-partially-ordered-sets-1506.00802</loc><lastmod>2015-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-gr-obner-bases-arising-from-partially-ordered-sets-1506.00802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-gr-obner-bases-arising-from-partially-ordered-sets-1506.00802"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-bounds-in-f-finite-rings-and-lower-semi-continuity-of-the-f-signature-1506.01073</loc><lastmod>2015-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-bounds-in-f-finite-rings-and-lower-semi-continuity-of-the-f-signature-1506.01073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-bounds-in-f-finite-rings-and-lower-semi-continuity-of-the-f-signature-1506.01073"/></url>
<url><loc>https://scifaro.com/en/abs/some-cohen-macaulay-and-unmixed-binomial-edge-ideals-1506.01362</loc><lastmod>2015-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-cohen-macaulay-and-unmixed-binomial-edge-ideals-1506.01362"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-cohen-macaulay-and-unmixed-binomial-edge-ideals-1506.01362"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-and-ear-decompositions-of-graphs-1506.01483</loc><lastmod>2019-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-and-ear-decompositions-of-graphs-1506.01483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-of-powers-of-edge-ideals-and-ear-decompositions-of-graphs-1506.01483"/></url>
<url><loc>https://scifaro.com/en/abs/an-inversion-algorithm-for-polynomial-maps-1506.01654</loc><lastmod>2015-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-inversion-algorithm-for-polynomial-maps-1506.01654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-inversion-algorithm-for-polynomial-maps-1506.01654"/></url>
<url><loc>https://scifaro.com/en/abs/an-effective-approach-to-picard-vessiot-theory-and-the-jacobian-conjecture-1506.01662</loc><lastmod>2015-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-effective-approach-to-picard-vessiot-theory-and-the-jacobian-conjecture-1506.01662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-effective-approach-to-picard-vessiot-theory-and-the-jacobian-conjecture-1506.01662"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-function-of-the-tangent-cone-of-a-monomial-curve-1506.01797</loc><lastmod>2015-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-the-tangent-cone-of-a-monomial-curve-1506.01797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-the-tangent-cone-of-a-monomial-curve-1506.01797"/></url>
<url><loc>https://scifaro.com/en/abs/numericalsgps-a-gap-package-for-numerical-semigroups-1506.02131</loc><lastmod>2019-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numericalsgps-a-gap-package-for-numerical-semigroups-1506.02131"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numericalsgps-a-gap-package-for-numerical-semigroups-1506.02131"/></url>
<url><loc>https://scifaro.com/en/abs/null-ideals-of-matrices-over-residue-class-rings-of-principal-ideal-domains-1506.02172</loc><lastmod>2016-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/null-ideals-of-matrices-over-residue-class-rings-of-principal-ideal-domains-1506.02172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/null-ideals-of-matrices-over-residue-class-rings-of-principal-ideal-domains-1506.02172"/></url>
<url><loc>https://scifaro.com/en/abs/connection-between-commutative-algebra-and-topology-1506.02356</loc><lastmod>2015-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connection-between-commutative-algebra-and-topology-1506.02356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connection-between-commutative-algebra-and-topology-1506.02356"/></url>
<url><loc>https://scifaro.com/en/abs/a-canonical-module-characterization-of-serre-s-mathrm-r-1-1506.02537</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-canonical-module-characterization-of-serre-s-mathrm-r-1-1506.02537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-canonical-module-characterization-of-serre-s-mathrm-r-1-1506.02537"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-tensors-rank-strassen-s-conjecture-and-e-computability-1506.03176</loc><lastmod>2015-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-tensors-rank-strassen-s-conjecture-and-e-computability-1506.03176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-tensors-rank-strassen-s-conjecture-and-e-computability-1506.03176"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-facet-ideal-associated-to-a-line-type-simplicial-complex-1506.03238</loc><lastmod>2015-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-facet-ideal-associated-to-a-line-type-simplicial-complex-1506.03238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-facet-ideal-associated-to-a-line-type-simplicial-complex-1506.03238"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-generalization-of-a-result-of-peskine-and-szpiro-1506.03614</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-generalization-of-a-result-of-peskine-and-szpiro-1506.03614"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-generalization-of-a-result-of-peskine-and-szpiro-1506.03614"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1506.04211</loc><lastmod>2015-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1506.04211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-isomorphism-of-artinian-gorenstein-algebras-1506.04211"/></url>
<url><loc>https://scifaro.com/en/abs/trace-map-and-regularity-of-finite-extensions-of-a-dvr-1506.04264</loc><lastmod>2017-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-map-and-regularity-of-finite-extensions-of-a-dvr-1506.04264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-map-and-regularity-of-finite-extensions-of-a-dvr-1506.04264"/></url>
<url><loc>https://scifaro.com/en/abs/on-frobenius-numbers-for-symmetric-not-complete-intersection-semigroups-generated-by-four-elements-1506.04337</loc><lastmod>2015-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-frobenius-numbers-for-symmetric-not-complete-intersection-semigroups-generated-by-four-elements-1506.04337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-frobenius-numbers-for-symmetric-not-complete-intersection-semigroups-generated-by-four-elements-1506.04337"/></url>
<url><loc>https://scifaro.com/en/abs/artin-approximation-1506.04717</loc><lastmod>2018-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artin-approximation-1506.04717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artin-approximation-1506.04717"/></url>
<url><loc>https://scifaro.com/en/abs/the-gaussian-moments-conjecture-and-the-jacobian-conjecture-1506.05192</loc><lastmod>2022-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-gaussian-moments-conjecture-and-the-jacobian-conjecture-1506.05192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-gaussian-moments-conjecture-and-the-jacobian-conjecture-1506.05192"/></url>
<url><loc>https://scifaro.com/en/abs/normal-sally-modules-of-rank-one-1506.05210</loc><lastmod>2017-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-sally-modules-of-rank-one-1506.05210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-sally-modules-of-rank-one-1506.05210"/></url>
<url><loc>https://scifaro.com/en/abs/coherence-conditions-in-flat-regular-pullbacks-1506.05389</loc><lastmod>2015-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coherence-conditions-in-flat-regular-pullbacks-1506.05389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coherence-conditions-in-flat-regular-pullbacks-1506.05389"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-subgroup-of-a-ring-an-ideal-1506.05513</loc><lastmod>2015-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-subgroup-of-a-ring-an-ideal-1506.05513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-subgroup-of-a-ring-an-ideal-1506.05513"/></url>
<url><loc>https://scifaro.com/en/abs/linearity-defect-of-edge-ideals-and-fr-oberg-s-theorem-1506.05769</loc><lastmod>2016-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-defect-of-edge-ideals-and-fr-oberg-s-theorem-1506.05769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-defect-of-edge-ideals-and-fr-oberg-s-theorem-1506.05769"/></url>
<url><loc>https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-i-1506.05836</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-i-1506.05836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-i-1506.05836"/></url>
<url><loc>https://scifaro.com/en/abs/on-higher-hessians-and-the-lefschetz-properties-1506.06387</loc><lastmod>2017-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-higher-hessians-and-the-lefschetz-properties-1506.06387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-higher-hessians-and-the-lefschetz-properties-1506.06387"/></url>
<url><loc>https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-ii-1506.06420</loc><lastmod>2016-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-ii-1506.06420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-monomial-conjecture-and-order-ideals-ii-1506.06420"/></url>
<url><loc>https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-over-two-dimensional-regular-local-rings-1506.06480</loc><lastmod>2015-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-over-two-dimensional-regular-local-rings-1506.06480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-over-two-dimensional-regular-local-rings-1506.06480"/></url>
<url><loc>https://scifaro.com/en/abs/adic-semidualizing-complexes-1506.07052</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adic-semidualizing-complexes-1506.07052"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adic-semidualizing-complexes-1506.07052"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-set-of-catenary-degrees-of-finitely-generated-cancellative-commutative-monoids-1506.07587</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-set-of-catenary-degrees-of-finitely-generated-cancellative-commutative-monoids-1506.07587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-set-of-catenary-degrees-of-finitely-generated-cancellative-commutative-monoids-1506.07587"/></url>
<url><loc>https://scifaro.com/en/abs/errata-on-the-homology-of-completion-and-torsion-1506.07765</loc><lastmod>2015-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/errata-on-the-homology-of-completion-and-torsion-1506.07765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/errata-on-the-homology-of-completion-and-torsion-1506.07765"/></url>
<url><loc>https://scifaro.com/en/abs/families-of-artinian-and-low-dimensional-determinantal-rings-1506.08087</loc><lastmod>2017-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/families-of-artinian-and-low-dimensional-determinantal-rings-1506.08087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/families-of-artinian-and-low-dimensional-determinantal-rings-1506.08087"/></url>
<url><loc>https://scifaro.com/en/abs/a-one-line-undergraduate-proof-of-zariski-s-lemma-and-hilbert-s-nullstellensatz-1506.08376</loc><lastmod>2015-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-one-line-undergraduate-proof-of-zariski-s-lemma-and-hilbert-s-nullstellensatz-1506.08376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-one-line-undergraduate-proof-of-zariski-s-lemma-and-hilbert-s-nullstellensatz-1506.08376"/></url>
<url><loc>https://scifaro.com/en/abs/methods-to-compute-ring-invariants-and-applications-a-new-class-of-exotic-threefolds-1506.08522</loc><lastmod>2015-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/methods-to-compute-ring-invariants-and-applications-a-new-class-of-exotic-threefolds-1506.08522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/methods-to-compute-ring-invariants-and-applications-a-new-class-of-exotic-threefolds-1506.08522"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-connection-between-ritt-characteristic-sets-and-buchberger-gr-obner-bases-1506.08994</loc><lastmod>2015-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-connection-between-ritt-characteristic-sets-and-buchberger-gr-obner-bases-1506.08994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-connection-between-ritt-characteristic-sets-and-buchberger-gr-obner-bases-1506.08994"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-ideals-may-not-be-golod-1506.09129</loc><lastmod>2016-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-ideals-may-not-be-golod-1506.09129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-ideals-may-not-be-golod-1506.09129"/></url>
<url><loc>https://scifaro.com/en/abs/a-counterexample-to-a-conjecture-of-ding-1506.09168</loc><lastmod>2016-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counterexample-to-a-conjecture-of-ding-1506.09168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counterexample-to-a-conjecture-of-ding-1506.09168"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-finite-g-c-dimension-modules-1507.00036</loc><lastmod>2015-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-finite-g-c-dimension-modules-1507.00036"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-finite-g-c-dimension-modules-1507.00036"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-difference-between-tropical-functions-and-real-valued-functions-1507.00545</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-difference-between-tropical-functions-and-real-valued-functions-1507.00545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-difference-between-tropical-functions-and-real-valued-functions-1507.00545"/></url>
<url><loc>https://scifaro.com/en/abs/an-alternative-algorithm-for-computing-the-betti-table-of-a-monomial-ideal-1507.01183</loc><lastmod>2015-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-alternative-algorithm-for-computing-the-betti-table-of-a-monomial-ideal-1507.01183"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-alternative-algorithm-for-computing-the-betti-table-of-a-monomial-ideal-1507.01183"/></url>
<url><loc>https://scifaro.com/en/abs/on-pseudo-symmetric-monomial-curves-1507.01288</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pseudo-symmetric-monomial-curves-1507.01288"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pseudo-symmetric-monomial-curves-1507.01288"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-integral-degree-of-integral-ring-extensions-1507.02120</loc><lastmod>2018-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-integral-degree-of-integral-ring-extensions-1507.02120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-integral-degree-of-integral-ring-extensions-1507.02120"/></url>
<url><loc>https://scifaro.com/en/abs/real-difference-galois-theory-1507.02192</loc><lastmod>2019-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/real-difference-galois-theory-1507.02192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/real-difference-galois-theory-1507.02192"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-local-cohomology-of-polynomial-and-formal-power-series-rings-the-one-dimensional-case-1507.02363</loc><lastmod>2016-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-local-cohomology-of-polynomial-and-formal-power-series-rings-the-one-dimensional-case-1507.02363"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-local-cohomology-of-polynomial-and-formal-power-series-rings-the-one-dimensional-case-1507.02363"/></url>
<url><loc>https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-of-parameters-1507.02556</loc><lastmod>2015-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-of-parameters-1507.02556"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-almost-gorenstein-rees-algebras-of-parameters-1507.02556"/></url>
<url><loc>https://scifaro.com/en/abs/bouquet-algebra-of-toric-ideals-1507.02740</loc><lastmod>2017-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bouquet-algebra-of-toric-ideals-1507.02740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bouquet-algebra-of-toric-ideals-1507.02740"/></url>
<url><loc>https://scifaro.com/en/abs/one-tilting-classes-and-modules-over-commutative-rings-1507.02811</loc><lastmod>2016-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-tilting-classes-and-modules-over-commutative-rings-1507.02811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-tilting-classes-and-modules-over-commutative-rings-1507.02811"/></url>
<url><loc>https://scifaro.com/en/abs/anneaux-a-diviseurs-et-anneaux-de-krull-une-approche-constructive-1507.02880</loc><lastmod>2024-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/anneaux-a-diviseurs-et-anneaux-de-krull-une-approche-constructive-1507.02880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/anneaux-a-diviseurs-et-anneaux-de-krull-une-approche-constructive-1507.02880"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-formulation-of-the-jacobian-conjecture-in-characteristic-p-1507.02946</loc><lastmod>2015-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-formulation-of-the-jacobian-conjecture-in-characteristic-p-1507.02946"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-formulation-of-the-jacobian-conjecture-in-characteristic-p-1507.02946"/></url>
<url><loc>https://scifaro.com/en/abs/minimum-distance-of-linear-codes-and-the-alpha-invariant-1507.03286</loc><lastmod>2015-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimum-distance-of-linear-codes-and-the-alpha-invariant-1507.03286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimum-distance-of-linear-codes-and-the-alpha-invariant-1507.03286"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-homogeneous-rings-and-their-h-vectors-1507.03307</loc><lastmod>2016-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-homogeneous-rings-and-their-h-vectors-1507.03307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-homogeneous-rings-and-their-h-vectors-1507.03307"/></url>
<url><loc>https://scifaro.com/en/abs/knoerrer-periodicity-and-bott-periodicity-1507.03329</loc><lastmod>2016-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/knoerrer-periodicity-and-bott-periodicity-1507.03329"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/knoerrer-periodicity-and-bott-periodicity-1507.03329"/></url>
<url><loc>https://scifaro.com/en/abs/on-conjectures-of-itoh-and-of-lipman-on-the-cohomology-of-normalized-blow-ups-1507.03343</loc><lastmod>2015-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-conjectures-of-itoh-and-of-lipman-on-the-cohomology-of-normalized-blow-ups-1507.03343"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-conjectures-of-itoh-and-of-lipman-on-the-cohomology-of-normalized-blow-ups-1507.03343"/></url>
<url><loc>https://scifaro.com/en/abs/hypertranscendence-of-solutions-of-mahler-equations-1507.03361</loc><lastmod>2019-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hypertranscendence-of-solutions-of-mahler-equations-1507.03361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hypertranscendence-of-solutions-of-mahler-equations-1507.03361"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-recognition-of-cluster-algebras-of-finite-type-1507.03844</loc><lastmod>2015-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-recognition-of-cluster-algebras-of-finite-type-1507.03844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-recognition-of-cluster-algebras-of-finite-type-1507.03844"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-ideals-of-small-type-1507.03853</loc><lastmod>2015-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-ideals-of-small-type-1507.03853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-monomial-ideals-of-small-type-1507.03853"/></url>
<url><loc>https://scifaro.com/en/abs/witt-gw-k-theory-of-quasi-projective-schemes-1507.03978</loc><lastmod>2015-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/witt-gw-k-theory-of-quasi-projective-schemes-1507.03978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/witt-gw-k-theory-of-quasi-projective-schemes-1507.03978"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-some-families-of-cohen-macaulay-gorenstein-and-or-buchsbaum-rings-1507.04536</loc><lastmod>2017-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-some-families-of-cohen-macaulay-gorenstein-and-or-buchsbaum-rings-1507.04536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-some-families-of-cohen-macaulay-gorenstein-and-or-buchsbaum-rings-1507.04536"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-and-almost-gorenstein-rings-1507.04556</loc><lastmod>2016-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-and-almost-gorenstein-rings-1507.04556"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-and-almost-gorenstein-rings-1507.04556"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-examples-of-semigroups-of-valuations-1507.04669</loc><lastmod>2015-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-examples-of-semigroups-of-valuations-1507.04669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-examples-of-semigroups-of-valuations-1507.04669"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-of-graded-rings-1507.05459</loc><lastmod>2015-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-of-graded-rings-1507.05459"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-of-graded-rings-1507.05459"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-in-polynomial-rings-1507.05734</loc><lastmod>2017-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-in-polynomial-rings-1507.05734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-ideals-in-polynomial-rings-1507.05734"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-type-of-an-almost-gorenstein-monomial-curve-1507.05949</loc><lastmod>2016-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-type-of-an-almost-gorenstein-monomial-curve-1507.05949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-type-of-an-almost-gorenstein-monomial-curve-1507.05949"/></url>
<url><loc>https://scifaro.com/en/abs/valuations-and-frobenius-1507.06009</loc><lastmod>2016-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuations-and-frobenius-1507.06009"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuations-and-frobenius-1507.06009"/></url>
<url><loc>https://scifaro.com/en/abs/representation-schemes-and-rigid-maximal-cohen-macaulay-modules-1507.06042</loc><lastmod>2015-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/representation-schemes-and-rigid-maximal-cohen-macaulay-modules-1507.06042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/representation-schemes-and-rigid-maximal-cohen-macaulay-modules-1507.06042"/></url>
<url><loc>https://scifaro.com/en/abs/a-case-study-of-gr-obner-bases-and-hilbert-series-1507.06171</loc><lastmod>2015-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-case-study-of-gr-obner-bases-and-hilbert-series-1507.06171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-case-study-of-gr-obner-bases-and-hilbert-series-1507.06171"/></url>
<url><loc>https://scifaro.com/en/abs/relative-cartier-divisors-and-laurent-polynomial-extensions-1507.06910</loc><lastmod>2016-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-cartier-divisors-and-laurent-polynomial-extensions-1507.06910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-cartier-divisors-and-laurent-polynomial-extensions-1507.06910"/></url>
<url><loc>https://scifaro.com/en/abs/candidates-for-non-zero-betti-numbers-of-monomial-ideals-1507.07188</loc><lastmod>2016-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/candidates-for-non-zero-betti-numbers-of-monomial-ideals-1507.07188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/candidates-for-non-zero-betti-numbers-of-monomial-ideals-1507.07188"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-polyhedral-semirings-1507.07213</loc><lastmod>2015-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-polyhedral-semirings-1507.07213"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-polyhedral-semirings-1507.07213"/></url>
<url><loc>https://scifaro.com/en/abs/on-dynamic-algorithms-for-factorization-invariants-in-numerical-monoids-1507.07435</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-dynamic-algorithms-for-factorization-invariants-in-numerical-monoids-1507.07435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-dynamic-algorithms-for-factorization-invariants-in-numerical-monoids-1507.07435"/></url>
<url><loc>https://scifaro.com/en/abs/homological-invariants-of-the-stanley-reisner-ring-of-a-k-decomposable-simplicial-complex-1507.07706</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-invariants-of-the-stanley-reisner-ring-of-a-k-decomposable-simplicial-complex-1507.07706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-invariants-of-the-stanley-reisner-ring-of-a-k-decomposable-simplicial-complex-1507.07706"/></url>
<url><loc>https://scifaro.com/en/abs/rational-combinations-of-betti-diagrams-of-complete-intersections-1507.08354</loc><lastmod>2017-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-combinations-of-betti-diagrams-of-complete-intersections-1507.08354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-combinations-of-betti-diagrams-of-complete-intersections-1507.08354"/></url>
<url><loc>https://scifaro.com/en/abs/covariant-functors-and-asymptotic-stability-1507.08389</loc><lastmod>2015-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/covariant-functors-and-asymptotic-stability-1507.08389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/covariant-functors-and-asymptotic-stability-1507.08389"/></url>
<url><loc>https://scifaro.com/en/abs/divergent-series-and-serre-s-intersection-formula-for-graded-rings-1507.08928</loc><lastmod>2015-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divergent-series-and-serre-s-intersection-formula-for-graded-rings-1507.08928"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divergent-series-and-serre-s-intersection-formula-for-graded-rings-1507.08928"/></url>
<url><loc>https://scifaro.com/en/abs/phi-classical-prime-submodules-1507.08981</loc><lastmod>2015-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/phi-classical-prime-submodules-1507.08981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/phi-classical-prime-submodules-1507.08981"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-invariants-in-numerical-monoids-1508.00128</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-invariants-in-numerical-monoids-1508.00128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-invariants-in-numerical-monoids-1508.00128"/></url>
<url><loc>https://scifaro.com/en/abs/ranks-of-matrices-with-few-distinct-entries-1508.00145</loc><lastmod>2016-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ranks-of-matrices-with-few-distinct-entries-1508.00145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ranks-of-matrices-with-few-distinct-entries-1508.00145"/></url>
<url><loc>https://scifaro.com/en/abs/calcul-matriciel-g-en-eralis-e-sur-les-domaines-de-pr-ufer-1508.00345</loc><lastmod>2015-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/calcul-matriciel-g-en-eralis-e-sur-les-domaines-de-pr-ufer-1508.00345"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/calcul-matriciel-g-en-eralis-e-sur-les-domaines-de-pr-ufer-1508.00345"/></url>
<url><loc>https://scifaro.com/en/abs/the-waldschmidt-constant-for-squarefree-monomial-ideals-1508.00477</loc><lastmod>2016-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-waldschmidt-constant-for-squarefree-monomial-ideals-1508.00477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-waldschmidt-constant-for-squarefree-monomial-ideals-1508.00477"/></url>
<url><loc>https://scifaro.com/en/abs/multiple-discriminants-and-critical-values-of-a-multivariate-polynomial-1508.00551</loc><lastmod>2015-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiple-discriminants-and-critical-values-of-a-multivariate-polynomial-1508.00551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiple-discriminants-and-critical-values-of-a-multivariate-polynomial-1508.00551"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-of-seminormal-weakly-krull-monoids-and-domains-1508.00710</loc><lastmod>2015-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-of-seminormal-weakly-krull-monoids-and-domains-1508.00710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-of-seminormal-weakly-krull-monoids-and-domains-1508.00710"/></url>
<url><loc>https://scifaro.com/en/abs/homology-over-trivial-extensions-of-commutative-dg-algebras-1508.00748</loc><lastmod>2015-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-over-trivial-extensions-of-commutative-dg-algebras-1508.00748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-over-trivial-extensions-of-commutative-dg-algebras-1508.00748"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-inseparability-and-rigidity-1508.01290</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-inseparability-and-rigidity-1508.01290"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-inseparability-and-rigidity-1508.01290"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-algebraicity-of-generalized-power-series-1508.01836</loc><lastmod>2016-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-algebraicity-of-generalized-power-series-1508.01836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-algebraicity-of-generalized-power-series-1508.01836"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-multiplicities-of-graded-families-of-ideals-and-linear-series-1508.01938</loc><lastmod>2015-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-multiplicities-of-graded-families-of-ideals-and-linear-series-1508.01938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-multiplicities-of-graded-families-of-ideals-and-linear-series-1508.01938"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bound-cluster-algebras-presentations-cohen-macaulayness-and-normality-1508.02314</loc><lastmod>2015-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bound-cluster-algebras-presentations-cohen-macaulayness-and-normality-1508.02314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bound-cluster-algebras-presentations-cohen-macaulayness-and-normality-1508.02314"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisor-graphs-of-quotient-rings-1508.02432</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisor-graphs-of-quotient-rings-1508.02432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisor-graphs-of-quotient-rings-1508.02432"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-socle-ideals-1508.02800</loc><lastmod>2015-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-socle-ideals-1508.02800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-socle-ideals-1508.02800"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-k-atoms-in-krull-monoids-1508.03500</loc><lastmod>2015-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-k-atoms-in-krull-monoids-1508.03500"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-k-atoms-in-krull-monoids-1508.03500"/></url>
<url><loc>https://scifaro.com/en/abs/higher-homotopies-and-golod-rings-1508.03782</loc><lastmod>2015-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-homotopies-and-golod-rings-1508.03782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-homotopies-and-golod-rings-1508.03782"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-betti-numbers-under-reduction-processes-towards-chordality-of-clutters-1508.03799</loc><lastmod>2015-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-betti-numbers-under-reduction-processes-towards-chordality-of-clutters-1508.03799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-betti-numbers-under-reduction-processes-towards-chordality-of-clutters-1508.03799"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-ideals-with-large-regularity-and-regularity-jumps-1508.04023</loc><lastmod>2015-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-ideals-with-large-regularity-and-regularity-jumps-1508.04023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-ideals-with-large-regularity-and-regularity-jumps-1508.04023"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-flat-and-projective-pre-covers-1508.04173</loc><lastmod>2015-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-flat-and-projective-pre-covers-1508.04173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-flat-and-projective-pre-covers-1508.04173"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-conductor-ideals-1508.04260</loc><lastmod>2015-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-conductor-ideals-1508.04260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-conductor-ideals-1508.04260"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-1508.04597</loc><lastmod>2016-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-1508.04597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-1508.04597"/></url>
<url><loc>https://scifaro.com/en/abs/tests-for-injectivity-of-modules-over-commutative-rings-1508.04639</loc><lastmod>2016-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tests-for-injectivity-of-modules-over-commutative-rings-1508.04639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tests-for-injectivity-of-modules-over-commutative-rings-1508.04639"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-singularities-at-the-f-pure-threshold-1508.05427</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-singularities-at-the-f-pure-threshold-1508.05427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-singularities-at-the-f-pure-threshold-1508.05427"/></url>
<url><loc>https://scifaro.com/en/abs/a-method-to-compute-the-general-neron-desingularization-in-the-frame-of-one-dimensional-local-domains-1508.05511</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-method-to-compute-the-general-neron-desingularization-in-the-frame-of-one-dimensional-local-domains-1508.05511"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-method-to-compute-the-general-neron-desingularization-in-the-frame-of-one-dimensional-local-domains-1508.05511"/></url>
<url><loc>https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-ii-projections-1508.05563</loc><lastmod>2015-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-ii-projections-1508.05563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cluster-algebras-and-semi-invariant-rings-ii-projections-1508.05563"/></url>
<url><loc>https://scifaro.com/en/abs/th-eor-eme-de-de-smit-et-lenstra-d-emonstration-el-ementaire-1508.05589</loc><lastmod>2025-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/th-eor-eme-de-de-smit-et-lenstra-d-emonstration-el-ementaire-1508.05589"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/th-eor-eme-de-de-smit-et-lenstra-d-emonstration-el-ementaire-1508.05589"/></url>
<url><loc>https://scifaro.com/en/abs/rees-valuations-1508.05697</loc><lastmod>2015-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-valuations-1508.05697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-valuations-1508.05697"/></url>
<url><loc>https://scifaro.com/en/abs/on-geometrically-transitive-hopf-algebroids-1508.05761</loc><lastmod>2018-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-geometrically-transitive-hopf-algebroids-1508.05761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-geometrically-transitive-hopf-algebroids-1508.05761"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-hilbert-kunz-function-in-graded-dimension-two-1508.05771</loc><lastmod>2018-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-hilbert-kunz-function-in-graded-dimension-two-1508.05771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-hilbert-kunz-function-in-graded-dimension-two-1508.05771"/></url>
<url><loc>https://scifaro.com/en/abs/some-new-subcategories-and-homological-dimensions-related-to-semidualizing-modules-1508.05805</loc><lastmod>2015-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-new-subcategories-and-homological-dimensions-related-to-semidualizing-modules-1508.05805"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-new-subcategories-and-homological-dimensions-related-to-semidualizing-modules-1508.05805"/></url>
<url><loc>https://scifaro.com/en/abs/dual-of-bass-numbers-and-dualizing-modules-1508.05813</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-of-bass-numbers-and-dualizing-modules-1508.05813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-of-bass-numbers-and-dualizing-modules-1508.05813"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-dicritical-divisors-revisited-1508.06015</loc><lastmod>2015-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-dicritical-divisors-revisited-1508.06015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-dicritical-divisors-revisited-1508.06015"/></url>
<url><loc>https://scifaro.com/en/abs/nilpotent-evolution-algebras-over-arbitrary-fields-1508.06860</loc><lastmod>2015-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nilpotent-evolution-algebras-over-arbitrary-fields-1508.06860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nilpotent-evolution-algebras-over-arbitrary-fields-1508.06860"/></url>
<url><loc>https://scifaro.com/en/abs/dependent-artin-schreier-defect-extensions-and-strong-monomialization-1508.06983</loc><lastmod>2015-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dependent-artin-schreier-defect-extensions-and-strong-monomialization-1508.06983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dependent-artin-schreier-defect-extensions-and-strong-monomialization-1508.06983"/></url>
<url><loc>https://scifaro.com/en/abs/bi-cohen-macaulay-graphs-1508.07119</loc><lastmod>2015-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-cohen-macaulay-graphs-1508.07119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-cohen-macaulay-graphs-1508.07119"/></url>
<url><loc>https://scifaro.com/en/abs/translates-of-polynomials-1508.07385</loc><lastmod>2015-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/translates-of-polynomials-1508.07385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/translates-of-polynomials-1508.07385"/></url>
<url><loc>https://scifaro.com/en/abs/injective-modules-and-torsion-functors-1508.07407</loc><lastmod>2016-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/injective-modules-and-torsion-functors-1508.07407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/injective-modules-and-torsion-functors-1508.07407"/></url>
<url><loc>https://scifaro.com/en/abs/five-dimensional-nilpotent-evolution-algebras-1508.07442</loc><lastmod>2015-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/five-dimensional-nilpotent-evolution-algebras-1508.07442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/five-dimensional-nilpotent-evolution-algebras-1508.07442"/></url>
<url><loc>https://scifaro.com/en/abs/on-bounds-for-the-effective-differential-nullstellensatz-1508.07508</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-bounds-for-the-effective-differential-nullstellensatz-1508.07508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-bounds-for-the-effective-differential-nullstellensatz-1508.07508"/></url>
<url><loc>https://scifaro.com/en/abs/graded-irreducible-modules-are-irreducible-1508.07518</loc><lastmod>2016-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-irreducible-modules-are-irreducible-1508.07518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-irreducible-modules-are-irreducible-1508.07518"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-depth-of-the-path-ideal-associated-to-a-line-graph-1508.07540</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-depth-of-the-path-ideal-associated-to-a-line-graph-1508.07540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-depth-of-the-path-ideal-associated-to-a-line-graph-1508.07540"/></url>
<url><loc>https://scifaro.com/en/abs/the-linear-strand-of-determinantal-facet-ideals-1508.07592</loc><lastmod>2015-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-linear-strand-of-determinantal-facet-ideals-1508.07592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-linear-strand-of-determinantal-facet-ideals-1508.07592"/></url>
<url><loc>https://scifaro.com/en/abs/on-divisor-closed-submonoids-and-minimal-distances-in-finitely-generated-monoids-1508.07646</loc><lastmod>2016-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-divisor-closed-submonoids-and-minimal-distances-in-finitely-generated-monoids-1508.07646"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-divisor-closed-submonoids-and-minimal-distances-in-finitely-generated-monoids-1508.07646"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-triangle-free-gorenstein-graphs-and-cohen-macaulayness-of-second-powers-of-edge-ideals-1508.07713</loc><lastmod>2015-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-triangle-free-gorenstein-graphs-and-cohen-macaulayness-of-second-powers-of-edge-ideals-1508.07713"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-triangle-free-gorenstein-graphs-and-cohen-macaulayness-of-second-powers-of-edge-ideals-1508.07713"/></url>
<url><loc>https://scifaro.com/en/abs/the-support-of-local-cohomology-modules-1509.01519</loc><lastmod>2017-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-support-of-local-cohomology-modules-1509.01519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-support-of-local-cohomology-modules-1509.01519"/></url>
<url><loc>https://scifaro.com/en/abs/do-most-polynomials-generate-a-prime-ideal-1509.02050</loc><lastmod>2016-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/do-most-polynomials-generate-a-prime-ideal-1509.02050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/do-most-polynomials-generate-a-prime-ideal-1509.02050"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-intermediate-value-theorem-over-a-valued-field-1509.02415</loc><lastmod>2015-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-intermediate-value-theorem-over-a-valued-field-1509.02415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-intermediate-value-theorem-over-a-valued-field-1509.02415"/></url>
<url><loc>https://scifaro.com/en/abs/the-asymptotic-behavior-of-frobenius-direct-images-of-rings-of-invariants-1509.02592</loc><lastmod>2015-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-asymptotic-behavior-of-frobenius-direct-images-of-rings-of-invariants-1509.02592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-asymptotic-behavior-of-frobenius-direct-images-of-rings-of-invariants-1509.02592"/></url>
<url><loc>https://scifaro.com/en/abs/roots-of-unity-in-orders-1509.02612</loc><lastmod>2016-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/roots-of-unity-in-orders-1509.02612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/roots-of-unity-in-orders-1509.02612"/></url>
<url><loc>https://scifaro.com/en/abs/g-groups-of-cohen-macaulay-rings-with-n-cluster-tilting-objects-1509.02978</loc><lastmod>2019-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-groups-of-cohen-macaulay-rings-with-n-cluster-tilting-objects-1509.02978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-groups-of-cohen-macaulay-rings-with-n-cluster-tilting-objects-1509.02978"/></url>
<url><loc>https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-case-of-rank-one-valuations-for-rings-with-zero-divisors-1509.03122</loc><lastmod>2015-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-case-of-rank-one-valuations-for-rings-with-zero-divisors-1509.03122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduction-of-local-uniformization-to-the-case-of-rank-one-valuations-for-rings-with-zero-divisors-1509.03122"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-semirings-1509.03354</loc><lastmod>2017-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-semirings-1509.03354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-semirings-1509.03354"/></url>
<url><loc>https://scifaro.com/en/abs/etale-extensions-with-finitely-many-subextensions-1509.03868</loc><lastmod>2015-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/etale-extensions-with-finitely-many-subextensions-1509.03868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/etale-extensions-with-finitely-many-subextensions-1509.03868"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-symmetric-minors-and-pfaffians-1509.03954</loc><lastmod>2017-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-symmetric-minors-and-pfaffians-1509.03954"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-with-support-in-ideals-of-symmetric-minors-and-pfaffians-1509.03954"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-and-equivalences-with-categories-of-matrix-factorizations-1509.04204</loc><lastmod>2015-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-and-equivalences-with-categories-of-matrix-factorizations-1509.04204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-and-equivalences-with-categories-of-matrix-factorizations-1509.04204"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-characterization-of-the-ssc-delta-s-mathcal-g-n-r-1-1509.04307</loc><lastmod>2020-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-characterization-of-the-ssc-delta-s-mathcal-g-n-r-1-1509.04307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-characterization-of-the-ssc-delta-s-mathcal-g-n-r-1-1509.04307"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-complexes-associated-to-a-matrix-1509.04367</loc><lastmod>2015-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-complexes-associated-to-a-matrix-1509.04367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-complexes-associated-to-a-matrix-1509.04367"/></url>
<url><loc>https://scifaro.com/en/abs/f-rationality-of-the-ring-of-modular-invariants-1509.04374</loc><lastmod>2015-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-rationality-of-the-ring-of-modular-invariants-1509.04374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-rationality-of-the-ring-of-modular-invariants-1509.04374"/></url>
<url><loc>https://scifaro.com/en/abs/the-vanishing-conjecture-for-maps-of-tor-and-derived-splinters-1509.04400</loc><lastmod>2015-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-vanishing-conjecture-for-maps-of-tor-and-derived-splinters-1509.04400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-vanishing-conjecture-for-maps-of-tor-and-derived-splinters-1509.04400"/></url>
<url><loc>https://scifaro.com/en/abs/top-local-cohomology-modules-are-almost-always-non-artinian-1509.04659</loc><lastmod>2016-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/top-local-cohomology-modules-are-almost-always-non-artinian-1509.04659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/top-local-cohomology-modules-are-almost-always-non-artinian-1509.04659"/></url>
<url><loc>https://scifaro.com/en/abs/ordinary-and-symbolic-rees-algebras-for-ideals-of-fermat-point-configurations-1509.04977</loc><lastmod>2015-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinary-and-symbolic-rees-algebras-for-ideals-of-fermat-point-configurations-1509.04977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinary-and-symbolic-rees-algebras-for-ideals-of-fermat-point-configurations-1509.04977"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-edge-ideals-1509.04988</loc><lastmod>2015-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-edge-ideals-1509.04988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-edge-ideals-1509.04988"/></url>
<url><loc>https://scifaro.com/en/abs/anisotropic-quadratic-forms-and-inversive-geometry-1509.05104</loc><lastmod>2022-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/anisotropic-quadratic-forms-and-inversive-geometry-1509.05104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/anisotropic-quadratic-forms-and-inversive-geometry-1509.05104"/></url>
<url><loc>https://scifaro.com/en/abs/intersections-of-quotient-rings-and-pruefer-v-multiplication-domains-1509.05884</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intersections-of-quotient-rings-and-pruefer-v-multiplication-domains-1509.05884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intersections-of-quotient-rings-and-pruefer-v-multiplication-domains-1509.05884"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-monomial-ideals-with-a-given-minimal-resolution-1509.06298</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-monomial-ideals-with-a-given-minimal-resolution-1509.06298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-monomial-ideals-with-a-given-minimal-resolution-1509.06298"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-local-uniformization-problem-1509.06350</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-local-uniformization-problem-1509.06350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-local-uniformization-problem-1509.06350"/></url>
<url><loc>https://scifaro.com/en/abs/the-scott-topology-of-a-rooted-non-metric-tree-1509.06353</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-scott-topology-of-a-rooted-non-metric-tree-1509.06353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-scott-topology-of-a-rooted-non-metric-tree-1509.06353"/></url>
<url><loc>https://scifaro.com/en/abs/topologies-on-spaces-of-valuations-a-closeness-criterion-1509.06356</loc><lastmod>2015-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topologies-on-spaces-of-valuations-a-closeness-criterion-1509.06356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topologies-on-spaces-of-valuations-a-closeness-criterion-1509.06356"/></url>
<url><loc>https://scifaro.com/en/abs/a-slight-generalization-of-keller-s-theorem-1509.06362</loc><lastmod>2015-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-slight-generalization-of-keller-s-theorem-1509.06362"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-slight-generalization-of-keller-s-theorem-1509.06362"/></url>
<url><loc>https://scifaro.com/en/abs/counting-square-free-cremona-monomial-maps-1509.06699</loc><lastmod>2015-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-square-free-cremona-monomial-maps-1509.06699"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-square-free-cremona-monomial-maps-1509.06699"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-properties-of-infinite-directed-unions-of-local-quadratic-transforms-1509.07545</loc><lastmod>2015-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-properties-of-infinite-directed-unions-of-local-quadratic-transforms-1509.07545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-properties-of-infinite-directed-unions-of-local-quadratic-transforms-1509.07545"/></url>
<url><loc>https://scifaro.com/en/abs/support-varieties-over-complete-intersections-made-easy-1509.07828</loc><lastmod>2015-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-varieties-over-complete-intersections-made-easy-1509.07828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-varieties-over-complete-intersections-made-easy-1509.07828"/></url>
<url><loc>https://scifaro.com/en/abs/the-zariski-topology-graph-on-the-maximal-spectrum-of-modules-over-commutative-rings-1509.08087</loc><lastmod>2015-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zariski-topology-graph-on-the-maximal-spectrum-of-modules-over-commutative-rings-1509.08087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zariski-topology-graph-on-the-maximal-spectrum-of-modules-over-commutative-rings-1509.08087"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-complete-intersection-conjecture-of-murthy-1509.08534</loc><lastmod>2015-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-complete-intersection-conjecture-of-murthy-1509.08534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-complete-intersection-conjecture-of-murthy-1509.08534"/></url>
<url><loc>https://scifaro.com/en/abs/stabilization-of-boij-s-oderberg-decompositions-of-ideal-powers-1509.08544</loc><lastmod>2015-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stabilization-of-boij-s-oderberg-decompositions-of-ideal-powers-1509.08544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stabilization-of-boij-s-oderberg-decompositions-of-ideal-powers-1509.08544"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-for-commutative-algebras-over-the-rational-numbers-1509.08843</loc><lastmod>2016-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-for-commutative-algebras-over-the-rational-numbers-1509.08843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-for-commutative-algebras-over-the-rational-numbers-1509.08843"/></url>
<url><loc>https://scifaro.com/en/abs/an-observation-on-generalized-hilbert-kunz-functions-1510.00668</loc><lastmod>2015-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-observation-on-generalized-hilbert-kunz-functions-1510.00668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-observation-on-generalized-hilbert-kunz-functions-1510.00668"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-degrees-of-relations-on-x-1-d-1-ldots-x-n-d-n-x-1-ldots-x-n-d-n-1-in-positive-characteristic-1510.00676</loc><lastmod>2015-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-degrees-of-relations-on-x-1-d-1-ldots-x-n-d-n-x-1-ldots-x-n-d-n-1-in-positive-characteristic-1510.00676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-degrees-of-relations-on-x-1-d-1-ldots-x-n-d-n-x-1-ldots-x-n-d-n-1-in-positive-characteristic-1510.00676"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-numerical-semigroups-and-the-koszul-property-1510.00935</loc><lastmod>2017-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-numerical-semigroups-and-the-koszul-property-1510.00935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-numerical-semigroups-and-the-koszul-property-1510.00935"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-local-rings-via-perfect-and-coperfect-modules-1510.01845</loc><lastmod>2016-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-local-rings-via-perfect-and-coperfect-modules-1510.01845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-local-rings-via-perfect-and-coperfect-modules-1510.01845"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-monomial-ideals-and-of-toric-rings-are-supported-on-posets-1510.01962</loc><lastmod>2019-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-monomial-ideals-and-of-toric-rings-are-supported-on-posets-1510.01962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-monomial-ideals-and-of-toric-rings-are-supported-on-posets-1510.01962"/></url>
<url><loc>https://scifaro.com/en/abs/gr-o-bner-basis-a-pseudo-polynomial-algorithm-for-computing-the-frobenius-number-1510.01973</loc><lastmod>2015-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-o-bner-basis-a-pseudo-polynomial-algorithm-for-computing-the-frobenius-number-1510.01973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-o-bner-basis-a-pseudo-polynomial-algorithm-for-computing-the-frobenius-number-1510.01973"/></url>
<url><loc>https://scifaro.com/en/abs/topological-aspects-of-irredundant-intersections-of-ideals-and-valuation-rings-1510.02000</loc><lastmod>2015-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-aspects-of-irredundant-intersections-of-ideals-and-valuation-rings-1510.02000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-aspects-of-irredundant-intersections-of-ideals-and-valuation-rings-1510.02000"/></url>
<url><loc>https://scifaro.com/en/abs/ratliff-rush-ideal-and-reduction-numbers-1510.02278</loc><lastmod>2017-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-ideal-and-reduction-numbers-1510.02278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-ideal-and-reduction-numbers-1510.02278"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-spaces-the-basics-1510.02428</loc><lastmod>2015-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-spaces-the-basics-1510.02428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-spaces-the-basics-1510.02428"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dimension-of-polynomial-semirings-1510.02493</loc><lastmod>2015-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dimension-of-polynomial-semirings-1510.02493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dimension-of-polynomial-semirings-1510.02493"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-hilbert-series-in-non-noetherian-polynomial-rings-1510.02757</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-hilbert-series-in-non-noetherian-polynomial-rings-1510.02757"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-hilbert-series-in-non-noetherian-polynomial-rings-1510.02757"/></url>
<url><loc>https://scifaro.com/en/abs/rational-singularities-and-uniform-symbolic-topologies-1510.02993</loc><lastmod>2017-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-singularities-and-uniform-symbolic-topologies-1510.02993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-singularities-and-uniform-symbolic-topologies-1510.02993"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-density-function-and-hilbert-kunz-multiplicity-1510.03294</loc><lastmod>2017-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-density-function-and-hilbert-kunz-multiplicity-1510.03294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-density-function-and-hilbert-kunz-multiplicity-1510.03294"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-proof-of-cohen-gabber-theorem-in-the-equal-characteristic-p-0-case-1510.03573</loc><lastmod>2026-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-proof-of-cohen-gabber-theorem-in-the-equal-characteristic-p-0-case-1510.03573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-proof-of-cohen-gabber-theorem-in-the-equal-characteristic-p-0-case-1510.03573"/></url>
<url><loc>https://scifaro.com/en/abs/hermitian-codes-and-complete-intersections-1510.03670</loc><lastmod>2019-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hermitian-codes-and-complete-intersections-1510.03670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hermitian-codes-and-complete-intersections-1510.03670"/></url>
<url><loc>https://scifaro.com/en/abs/a-change-of-rings-result-for-matlis-reflexivity-1510.04156</loc><lastmod>2019-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-change-of-rings-result-for-matlis-reflexivity-1510.04156"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-change-of-rings-result-for-matlis-reflexivity-1510.04156"/></url>
<url><loc>https://scifaro.com/en/abs/observations-on-the-two-dimensional-jacobian-conjecture-1510.04264</loc><lastmod>2016-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/observations-on-the-two-dimensional-jacobian-conjecture-1510.04264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/observations-on-the-two-dimensional-jacobian-conjecture-1510.04264"/></url>
<url><loc>https://scifaro.com/en/abs/types-of-signature-analysis-in-reliability-based-on-hilbert-series-1510.04427</loc><lastmod>2015-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/types-of-signature-analysis-in-reliability-based-on-hilbert-series-1510.04427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/types-of-signature-analysis-in-reliability-based-on-hilbert-series-1510.04427"/></url>
<url><loc>https://scifaro.com/en/abs/the-golod-property-for-powers-of-ideals-and-koszul-ideals-1510.04435</loc><lastmod>2018-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-golod-property-for-powers-of-ideals-and-koszul-ideals-1510.04435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-golod-property-for-powers-of-ideals-and-koszul-ideals-1510.04435"/></url>
<url><loc>https://scifaro.com/en/abs/new-distinguished-classes-of-spectral-spaces-a-survey-1510.04443</loc><lastmod>2015-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-distinguished-classes-of-spectral-spaces-a-survey-1510.04443"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-distinguished-classes-of-spectral-spaces-a-survey-1510.04443"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-subgraphs-1510.04463</loc><lastmod>2015-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-subgraphs-1510.04463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-subgraphs-1510.04463"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1510.04904</loc><lastmod>2017-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1510.04904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1510.04904"/></url>
<url><loc>https://scifaro.com/en/abs/a-description-of-totally-reflexive-modules-for-a-class-of-non-gorenstein-rings-1510.04922</loc><lastmod>2015-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-description-of-totally-reflexive-modules-for-a-class-of-non-gorenstein-rings-1510.04922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-description-of-totally-reflexive-modules-for-a-class-of-non-gorenstein-rings-1510.04922"/></url>
<url><loc>https://scifaro.com/en/abs/positivity-of-intersection-multiplicity-over-a-two-dimensional-base-1510.05146</loc><lastmod>2018-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/positivity-of-intersection-multiplicity-over-a-two-dimensional-base-1510.05146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/positivity-of-intersection-multiplicity-over-a-two-dimensional-base-1510.05146"/></url>
<url><loc>https://scifaro.com/en/abs/the-twisted-inverse-image-pseudofunctor-over-commutative-dg-rings-and-perfect-base-change-1510.05583</loc><lastmod>2017-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-twisted-inverse-image-pseudofunctor-over-commutative-dg-rings-and-perfect-base-change-1510.05583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-twisted-inverse-image-pseudofunctor-over-commutative-dg-rings-and-perfect-base-change-1510.05583"/></url>
<url><loc>https://scifaro.com/en/abs/computing-quasidegrees-of-a-graded-modules-1510.07364</loc><lastmod>2019-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-quasidegrees-of-a-graded-modules-1510.07364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-quasidegrees-of-a-graded-modules-1510.07364"/></url>
<url><loc>https://scifaro.com/en/abs/a-zariski-local-notion-of-f-total-acyclicity-for-complexes-of-sheaves-1510.08102</loc><lastmod>2016-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-zariski-local-notion-of-f-total-acyclicity-for-complexes-of-sheaves-1510.08102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-zariski-local-notion-of-f-total-acyclicity-for-complexes-of-sheaves-1510.08102"/></url>
<url><loc>https://scifaro.com/en/abs/on-vanishing-patterns-in-j-strands-of-edge-ideals-1510.08192</loc><lastmod>2016-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-vanishing-patterns-in-j-strands-of-edge-ideals-1510.08192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-vanishing-patterns-in-j-strands-of-edge-ideals-1510.08192"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-the-sally-module-of-integrally-closed-ideals-1510.08292</loc><lastmod>2015-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-the-sally-module-of-integrally-closed-ideals-1510.08292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-the-sally-module-of-integrally-closed-ideals-1510.08292"/></url>
<url><loc>https://scifaro.com/en/abs/common-slot-lemmas-in-characteristic-2-1510.08330</loc><lastmod>2015-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/common-slot-lemmas-in-characteristic-2-1510.08330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/common-slot-lemmas-in-characteristic-2-1510.08330"/></url>
<url><loc>https://scifaro.com/en/abs/betti-linear-ideals-1510.08402</loc><lastmod>2015-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-linear-ideals-1510.08402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-linear-ideals-1510.08402"/></url>
<url><loc>https://scifaro.com/en/abs/mesoprimary-decomposition-of-binomial-submodules-1511.00161</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mesoprimary-decomposition-of-binomial-submodules-1511.00161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mesoprimary-decomposition-of-binomial-submodules-1511.00161"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-computation-of-the-ratliff-rush-closure-associated-graded-ring-and-invariance-of-a-length-1511.00402</loc><lastmod>2017-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-computation-of-the-ratliff-rush-closure-associated-graded-ring-and-invariance-of-a-length-1511.00402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-computation-of-the-ratliff-rush-closure-associated-graded-ring-and-invariance-of-a-length-1511.00402"/></url>
<url><loc>https://scifaro.com/en/abs/non-free-iterative-differential-modules-1511.00476</loc><lastmod>2020-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-free-iterative-differential-modules-1511.00476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-free-iterative-differential-modules-1511.00476"/></url>
<url><loc>https://scifaro.com/en/abs/on-armendariz-like-properties-in-amalgamated-algebras-along-ideals-1511.00788</loc><lastmod>2015-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-armendariz-like-properties-in-amalgamated-algebras-along-ideals-1511.00788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-armendariz-like-properties-in-amalgamated-algebras-along-ideals-1511.00788"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-and-p-g-ideals-in-a-two-dimensional-normal-local-domain-1511.00827</loc><lastmod>2025-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-and-p-g-ideals-in-a-two-dimensional-normal-local-domain-1511.00827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-and-p-g-ideals-in-a-two-dimensional-normal-local-domain-1511.00827"/></url>
<url><loc>https://scifaro.com/en/abs/molien-generating-functions-and-integrity-bases-for-the-action-of-the-so-3-and-o-3-groups-on-a-set-of-vectors-1511.01311</loc><lastmod>2021-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/molien-generating-functions-and-integrity-bases-for-the-action-of-the-so-3-and-o-3-groups-on-a-set-of-vectors-1511.01311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/molien-generating-functions-and-integrity-bases-for-the-action-of-the-so-3-and-o-3-groups-on-a-set-of-vectors-1511.01311"/></url>
<url><loc>https://scifaro.com/en/abs/a-rigidity-property-of-local-cohomology-modules-1511.02755</loc><lastmod>2015-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-rigidity-property-of-local-cohomology-modules-1511.02755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-rigidity-property-of-local-cohomology-modules-1511.02755"/></url>
<url><loc>https://scifaro.com/en/abs/bound-for-the-number-of-one-dimensional-fibers-of-a-projective-morphism-1511.02933</loc><lastmod>2019-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bound-for-the-number-of-one-dimensional-fibers-of-a-projective-morphism-1511.02933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bound-for-the-number-of-one-dimensional-fibers-of-a-projective-morphism-1511.02933"/></url>
<url><loc>https://scifaro.com/en/abs/a-general-framework-for-noetherian-well-ordered-polynomial-reductions-1511.03234</loc><lastmod>2018-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-general-framework-for-noetherian-well-ordered-polynomial-reductions-1511.03234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-general-framework-for-noetherian-well-ordered-polynomial-reductions-1511.03234"/></url>
<url><loc>https://scifaro.com/en/abs/computing-quot-schemes-via-marked-bases-over-quasi-stable-modules-1511.03547</loc><lastmod>2018-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-quot-schemes-via-marked-bases-over-quasi-stable-modules-1511.03547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-quot-schemes-via-marked-bases-over-quasi-stable-modules-1511.03547"/></url>
<url><loc>https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-a-proof-of-a-conjecture-of-bonnaf-e-and-kemper-1511.03619</loc><lastmod>2016-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-a-proof-of-a-conjecture-of-bonnaf-e-and-kemper-1511.03619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-a-proof-of-a-conjecture-of-bonnaf-e-and-kemper-1511.03619"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-perinormal-domains-1511.03832</loc><lastmod>2015-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-perinormal-domains-1511.03832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-perinormal-domains-1511.03832"/></url>
<url><loc>https://scifaro.com/en/abs/realizability-and-the-avrunin-scott-theorem-for-higher-order-support-varieties-1511.03991</loc><lastmod>2015-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/realizability-and-the-avrunin-scott-theorem-for-higher-order-support-varieties-1511.03991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/realizability-and-the-avrunin-scott-theorem-for-higher-order-support-varieties-1511.03991"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-rees-algebras-of-ideals-in-two-variables-1511.04073</loc><lastmod>2015-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-rees-algebras-of-ideals-in-two-variables-1511.04073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-rees-algebras-of-ideals-in-two-variables-1511.04073"/></url>
<url><loc>https://scifaro.com/en/abs/toric-representations-of-algebras-defined-by-certain-nonsimple-polyominoes-1511.04204</loc><lastmod>2015-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-representations-of-algebras-defined-by-certain-nonsimple-polyominoes-1511.04204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-representations-of-algebras-defined-by-certain-nonsimple-polyominoes-1511.04204"/></url>
<url><loc>https://scifaro.com/en/abs/axiomatic-closure-operations-phantom-extensions-and-solidity-1511.04286</loc><lastmod>2018-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/axiomatic-closure-operations-phantom-extensions-and-solidity-1511.04286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/axiomatic-closure-operations-phantom-extensions-and-solidity-1511.04286"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-reisner-ideal-of-an-expanded-simplicial-complex-1511.04676</loc><lastmod>2017-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-reisner-ideal-of-an-expanded-simplicial-complex-1511.04676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-reisner-ideal-of-an-expanded-simplicial-complex-1511.04676"/></url>
<url><loc>https://scifaro.com/en/abs/a-non-golod-ring-with-a-trivial-product-on-its-koszul-homology-1511.04883</loc><lastmod>2017-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-non-golod-ring-with-a-trivial-product-on-its-koszul-homology-1511.04883"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-non-golod-ring-with-a-trivial-product-on-its-koszul-homology-1511.04883"/></url>
<url><loc>https://scifaro.com/en/abs/betti-tables-of-mcm-modules-over-the-cone-of-a-plane-cubic-1511.05089</loc><lastmod>2015-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-tables-of-mcm-modules-over-the-cone-of-a-plane-cubic-1511.05089"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-tables-of-mcm-modules-over-the-cone-of-a-plane-cubic-1511.05089"/></url>
<url><loc>https://scifaro.com/en/abs/perinormality-in-pullbacks-1511.06473</loc><lastmod>2016-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perinormality-in-pullbacks-1511.06473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perinormality-in-pullbacks-1511.06473"/></url>
<url><loc>https://scifaro.com/en/abs/artin-approximation-property-and-the-general-neron-desingularization-1511.06967</loc><lastmod>2015-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artin-approximation-property-and-the-general-neron-desingularization-1511.06967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artin-approximation-property-and-the-general-neron-desingularization-1511.06967"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-quasi-depth-of-squarefree-monomial-ideals-and-the-sdepth-of-the-monomial-ideal-of-independent-sets-of-a-graph-1511.06974</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-quasi-depth-of-squarefree-monomial-ideals-and-the-sdepth-of-the-monomial-ideal-of-independent-sets-of-a-graph-1511.06974"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-quasi-depth-of-squarefree-monomial-ideals-and-the-sdepth-of-the-monomial-ideal-of-independent-sets-of-a-graph-1511.06974"/></url>
<url><loc>https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-pairwise-disjoint-cycles-1511.07310</loc><lastmod>2015-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-pairwise-disjoint-cycles-1511.07310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-graphs-with-pairwise-disjoint-cycles-1511.07310"/></url>
<url><loc>https://scifaro.com/en/abs/root-configurations-of-real-univariate-cubics-and-quartics-1511.07489</loc><lastmod>2018-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/root-configurations-of-real-univariate-cubics-and-quartics-1511.07489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/root-configurations-of-real-univariate-cubics-and-quartics-1511.07489"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-simplicity-of-rings-of-differential-operators-1511.07780</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-simplicity-of-rings-of-differential-operators-1511.07780"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-simplicity-of-rings-of-differential-operators-1511.07780"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-local-artinian-gorenstein-algebras-1511.08007</loc><lastmod>2016-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-local-artinian-gorenstein-algebras-1511.08007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-local-artinian-gorenstein-algebras-1511.08007"/></url>
<url><loc>https://scifaro.com/en/abs/characterizations-of-regular-local-rings-via-syzygy-modules-of-the-residue-field-1511.08012</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizations-of-regular-local-rings-via-syzygy-modules-of-the-residue-field-1511.08012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizations-of-regular-local-rings-via-syzygy-modules-of-the-residue-field-1511.08012"/></url>
<url><loc>https://scifaro.com/en/abs/some-recent-results-and-open-problems-on-sets-of-lengths-of-krull-monoids-with-finite-class-group-1511.08080</loc><lastmod>2015-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-recent-results-and-open-problems-on-sets-of-lengths-of-krull-monoids-with-finite-class-group-1511.08080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-recent-results-and-open-problems-on-sets-of-lengths-of-krull-monoids-with-finite-class-group-1511.08080"/></url>
<url><loc>https://scifaro.com/en/abs/the-degree-of-a-tropical-basis-1511.08123</loc><lastmod>2019-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-degree-of-a-tropical-basis-1511.08123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-degree-of-a-tropical-basis-1511.08123"/></url>
<url><loc>https://scifaro.com/en/abs/gram-schmidt-vaserstein-generators-for-odd-sized-elementary-groups-1511.08688</loc><lastmod>2015-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gram-schmidt-vaserstein-generators-for-odd-sized-elementary-groups-1511.08688"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gram-schmidt-vaserstein-generators-for-odd-sized-elementary-groups-1511.08688"/></url>
<url><loc>https://scifaro.com/en/abs/linear-nested-artin-approximation-theorem-for-algebraic-power-series-1511.09275</loc><lastmod>2018-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-nested-artin-approximation-theorem-for-algebraic-power-series-1511.09275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-nested-artin-approximation-theorem-for-algebraic-power-series-1511.09275"/></url>
<url><loc>https://scifaro.com/en/abs/ascent-and-descent-of-the-golod-property-along-algebra-retracts-1511.09292</loc><lastmod>2017-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-and-descent-of-the-golod-property-along-algebra-retracts-1511.09292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-and-descent-of-the-golod-property-along-algebra-retracts-1511.09292"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-growth-of-regularity-with-respect-to-frobenius-1512.00049</loc><lastmod>2015-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-growth-of-regularity-with-respect-to-frobenius-1512.00049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-growth-of-regularity-with-respect-to-frobenius-1512.00049"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relation-between-formal-grade-and-depth-with-a-view-toward-vanishing-of-lyubeznik-numbers-1512.00608</loc><lastmod>2015-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relation-between-formal-grade-and-depth-with-a-view-toward-vanishing-of-lyubeznik-numbers-1512.00608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relation-between-formal-grade-and-depth-with-a-view-toward-vanishing-of-lyubeznik-numbers-1512.00608"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-invariants-of-projective-monomial-curves-associated-to-generalized-arithmetic-sequences-1512.00617</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-invariants-of-projective-monomial-curves-associated-to-generalized-arithmetic-sequences-1512.00617"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-invariants-of-projective-monomial-curves-associated-to-generalized-arithmetic-sequences-1512.00617"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-dimensions-of-unbounded-complexes-and-faithfully-flat-change-of-base-with-an-appendix-by-driss-bennis-1512.01120</loc><lastmod>2016-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-dimensions-of-unbounded-complexes-and-faithfully-flat-change-of-base-with-an-appendix-by-driss-bennis-1512.01120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-dimensions-of-unbounded-complexes-and-faithfully-flat-change-of-base-with-an-appendix-by-driss-bennis-1512.01120"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-s-nonunimodal-gorenstein-h-vector-is-optimal-1512.01433</loc><lastmod>2016-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-s-nonunimodal-gorenstein-h-vector-is-optimal-1512.01433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-s-nonunimodal-gorenstein-h-vector-is-optimal-1512.01433"/></url>
<url><loc>https://scifaro.com/en/abs/proportionally-modular-affine-semigroups-1512.01513</loc><lastmod>2016-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proportionally-modular-affine-semigroups-1512.01513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proportionally-modular-affine-semigroups-1512.01513"/></url>
<url><loc>https://scifaro.com/en/abs/block-stanley-decompositions-i-elementary-and-gnomon-decompositions-1512.01831</loc><lastmod>2015-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/block-stanley-decompositions-i-elementary-and-gnomon-decompositions-1512.01831"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/block-stanley-decompositions-i-elementary-and-gnomon-decompositions-1512.01831"/></url>
<url><loc>https://scifaro.com/en/abs/isotonian-algebras-1512.01973</loc><lastmod>2015-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isotonian-algebras-1512.01973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isotonian-algebras-1512.01973"/></url>
<url><loc>https://scifaro.com/en/abs/the-behavior-of-differential-quadratic-and-bilinear-forms-under-purely-inseparable-field-extensions-1512.02079</loc><lastmod>2016-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-behavior-of-differential-quadratic-and-bilinear-forms-under-purely-inseparable-field-extensions-1512.02079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-behavior-of-differential-quadratic-and-bilinear-forms-under-purely-inseparable-field-extensions-1512.02079"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-and-injective-dimension-in-mixed-characteristic-1512.02298</loc><lastmod>2015-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-and-injective-dimension-in-mixed-characteristic-1512.02298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-and-injective-dimension-in-mixed-characteristic-1512.02298"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-of-simple-surface-singularities-1512.02376</loc><lastmod>2015-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-of-simple-surface-singularities-1512.02376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-of-simple-surface-singularities-1512.02376"/></url>
<url><loc>https://scifaro.com/en/abs/equations-defining-recursive-extensions-as-set-theoretic-complete-intersections-1512.02378</loc><lastmod>2015-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-defining-recursive-extensions-as-set-theoretic-complete-intersections-1512.02378"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-defining-recursive-extensions-as-set-theoretic-complete-intersections-1512.02378"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lc-conjecture-1512.02518</loc><lastmod>2016-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lc-conjecture-1512.02518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lc-conjecture-1512.02518"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-fans-of-x-homogeneous-ideals-in-r-t-x-1512.02662</loc><lastmod>2018-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-fans-of-x-homogeneous-ideals-in-r-t-x-1512.02662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-fans-of-x-homogeneous-ideals-in-r-t-x-1512.02662"/></url>
<url><loc>https://scifaro.com/en/abs/trimming-a-gorenstein-ideal-1512.02720</loc><lastmod>2017-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trimming-a-gorenstein-ideal-1512.02720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trimming-a-gorenstein-ideal-1512.02720"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-gorenstein-complete-intersection-and-regular-defect-for-the-tensor-product-of-algebras-1512.02804</loc><lastmod>2015-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-gorenstein-complete-intersection-and-regular-defect-for-the-tensor-product-of-algebras-1512.02804"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-gorenstein-complete-intersection-and-regular-defect-for-the-tensor-product-of-algebras-1512.02804"/></url>
<url><loc>https://scifaro.com/en/abs/group-theoretic-and-topological-invariants-of-completely-integrally-closed-pr-ufer-domains-1512.03312</loc><lastmod>2016-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/group-theoretic-and-topological-invariants-of-completely-integrally-closed-pr-ufer-domains-1512.03312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/group-theoretic-and-topological-invariants-of-completely-integrally-closed-pr-ufer-domains-1512.03312"/></url>
<url><loc>https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-a-regular-local-ring-1512.03848</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-a-regular-local-ring-1512.03848"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-a-regular-local-ring-1512.03848"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-tangent-cones-of-monomial-curves-in-mathbb-a-4-k-1512.04204</loc><lastmod>2017-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-tangent-cones-of-monomial-curves-in-mathbb-a-4-k-1512.04204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cohen-macaulayness-of-tangent-cones-of-monomial-curves-in-mathbb-a-4-k-1512.04204"/></url>
<url><loc>https://scifaro.com/en/abs/local-b-ezout-theorem-for-henselian-rings-1512.04306</loc><lastmod>2016-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-b-ezout-theorem-for-henselian-rings-1512.04306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-b-ezout-theorem-for-henselian-rings-1512.04306"/></url>
<url><loc>https://scifaro.com/en/abs/relative-hilbert-co-efficients-1512.04315</loc><lastmod>2015-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-hilbert-co-efficients-1512.04315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-hilbert-co-efficients-1512.04315"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-fr-oberg-s-conjecture-for-forms-of-equal-degrees-1512.04324</loc><lastmod>2017-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-fr-oberg-s-conjecture-for-forms-of-equal-degrees-1512.04324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-fr-oberg-s-conjecture-for-forms-of-equal-degrees-1512.04324"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-ratliff-rush-closure-1512.04372</loc><lastmod>2018-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-ratliff-rush-closure-1512.04372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-ratliff-rush-closure-1512.04372"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimensions-of-rings-of-holomorphic-functions-1512.04647</loc><lastmod>2015-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimensions-of-rings-of-holomorphic-functions-1512.04647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimensions-of-rings-of-holomorphic-functions-1512.04647"/></url>
<url><loc>https://scifaro.com/en/abs/smooth-algebra-and-finiteness-of-the-set-of-associated-primes-of-local-cohomology-modules-1512.04873</loc><lastmod>2015-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/smooth-algebra-and-finiteness-of-the-set-of-associated-primes-of-local-cohomology-modules-1512.04873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/smooth-algebra-and-finiteness-of-the-set-of-associated-primes-of-local-cohomology-modules-1512.04873"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cohen-macaulay-property-for-quadratic-tangent-cones-1512.04893</loc><lastmod>2016-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cohen-macaulay-property-for-quadratic-tangent-cones-1512.04893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cohen-macaulay-property-for-quadratic-tangent-cones-1512.04893"/></url>
<url><loc>https://scifaro.com/en/abs/real-and-complex-waring-rank-of-reducible-cubic-forms-1512.04905</loc><lastmod>2015-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/real-and-complex-waring-rank-of-reducible-cubic-forms-1512.04905"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/real-and-complex-waring-rank-of-reducible-cubic-forms-1512.04905"/></url>
<url><loc>https://scifaro.com/en/abs/the-number-of-atoms-in-an-atomic-domain-1512.05024</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-number-of-atoms-in-an-atomic-domain-1512.05024"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-number-of-atoms-in-an-atomic-domain-1512.05024"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ring-of-differential-operators-of-certain-regular-domains-1512.05102</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ring-of-differential-operators-of-certain-regular-domains-1512.05102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ring-of-differential-operators-of-certain-regular-domains-1512.05102"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-linkage-of-modules-1512.05105</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-linkage-of-modules-1512.05105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-linkage-of-modules-1512.05105"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-primes-and-the-chow-group-1512.05107</loc><lastmod>2015-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-primes-and-the-chow-group-1512.05107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-primes-and-the-chow-group-1512.05107"/></url>
<url><loc>https://scifaro.com/en/abs/the-dualizing-complex-of-f-injective-and-du-bois-singularities-1512.05374</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dualizing-complex-of-f-injective-and-du-bois-singularities-1512.05374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dualizing-complex-of-f-injective-and-du-bois-singularities-1512.05374"/></url>
<url><loc>https://scifaro.com/en/abs/behaviour-of-finiteness-of-the-set-of-associated-primes-under-ring-extensions-1512.05672</loc><lastmod>2015-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/behaviour-of-finiteness-of-the-set-of-associated-primes-under-ring-extensions-1512.05672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/behaviour-of-finiteness-of-the-set-of-associated-primes-under-ring-extensions-1512.05672"/></url>
<url><loc>https://scifaro.com/en/abs/behaviour-of-the-support-of-lyubeznik-functors-under-ring-extensions-1512.05678</loc><lastmod>2015-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/behaviour-of-the-support-of-lyubeznik-functors-under-ring-extensions-1512.05678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/behaviour-of-the-support-of-lyubeznik-functors-under-ring-extensions-1512.05678"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-associated-primes-and-bockstein-homomorphisms-of-local-cohomology-modules-for-ramified-regular-local-rings-1512.05686</loc><lastmod>2015-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-associated-primes-and-bockstein-homomorphisms-of-local-cohomology-modules-for-ramified-regular-local-rings-1512.05686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-associated-primes-and-bockstein-homomorphisms-of-local-cohomology-modules-for-ramified-regular-local-rings-1512.05686"/></url>
<url><loc>https://scifaro.com/en/abs/examples-of-local-cohomology-modules-for-ramified-regular-local-rings-having-finite-set-of-associated-primes-1512.05695</loc><lastmod>2015-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/examples-of-local-cohomology-modules-for-ramified-regular-local-rings-having-finite-set-of-associated-primes-1512.05695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/examples-of-local-cohomology-modules-for-ramified-regular-local-rings-having-finite-set-of-associated-primes-1512.05695"/></url>
<url><loc>https://scifaro.com/en/abs/on-ding-injective-ding-projective-and-ding-flat-modules-and-complexes-1512.05999</loc><lastmod>2015-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ding-injective-ding-projective-and-ding-flat-modules-and-complexes-1512.05999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ding-injective-ding-projective-and-ding-flat-modules-and-complexes-1512.05999"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulayness-of-the-bounded-complex-of-an-affine-oriented-matroid-1512.06040</loc><lastmod>2017-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulayness-of-the-bounded-complex-of-an-affine-oriented-matroid-1512.06040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulayness-of-the-bounded-complex-of-an-affine-oriented-matroid-1512.06040"/></url>
<url><loc>https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-modules-and-classification-of-singularities-1512.06843</loc><lastmod>2016-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-modules-and-classification-of-singularities-1512.06843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-modules-and-classification-of-singularities-1512.06843"/></url>
<url><loc>https://scifaro.com/en/abs/minimum-distance-functions-of-graded-ideals-and-reed-muller-type-codes-1512.06868</loc><lastmod>2018-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimum-distance-functions-of-graded-ideals-and-reed-muller-type-codes-1512.06868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimum-distance-functions-of-graded-ideals-and-reed-muller-type-codes-1512.06868"/></url>
<url><loc>https://scifaro.com/en/abs/families-of-gorenstein-and-almost-gorenstein-rings-1512.07179</loc><lastmod>2016-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/families-of-gorenstein-and-almost-gorenstein-rings-1512.07179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/families-of-gorenstein-and-almost-gorenstein-rings-1512.07179"/></url>
<url><loc>https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-algebras-1512.07862</loc><lastmod>2017-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-algebras-1512.07862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closure-operations-that-induce-big-cohen-macaulay-algebras-1512.07862"/></url>
<url><loc>https://scifaro.com/en/abs/miura-divisor-class-group-arithmetic-1512.08040</loc><lastmod>2015-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/miura-divisor-class-group-arithmetic-1512.08040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/miura-divisor-class-group-arithmetic-1512.08040"/></url>
<url><loc>https://scifaro.com/en/abs/circulant-s-2-graphs-1512.08141</loc><lastmod>2015-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/circulant-s-2-graphs-1512.08141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/circulant-s-2-graphs-1512.08141"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-some-classes-of-monomial-ideals-1512.08195</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-some-classes-of-monomial-ideals-1512.08195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-some-classes-of-monomial-ideals-1512.08195"/></url>
<url><loc>https://scifaro.com/en/abs/an-alternating-matrix-and-a-vector-with-application-to-aluffi-algebras-1512.08287</loc><lastmod>2015-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-alternating-matrix-and-a-vector-with-application-to-aluffi-algebras-1512.08287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-alternating-matrix-and-a-vector-with-application-to-aluffi-algebras-1512.08287"/></url>
<url><loc>https://scifaro.com/en/abs/constructive-general-neron-desingularization-for-one-dimensional-local-rings-1512.08435</loc><lastmod>2016-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructive-general-neron-desingularization-for-one-dimensional-local-rings-1512.08435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructive-general-neron-desingularization-for-one-dimensional-local-rings-1512.08435"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-on-projective-levels-of-complexes-1512.08534</loc><lastmod>2017-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-on-projective-levels-of-complexes-1512.08534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-on-projective-levels-of-complexes-1512.08534"/></url>
<url><loc>https://scifaro.com/en/abs/homological-properties-of-the-homology-algebra-of-the-koszul-complex-of-a-local-ring-examples-and-questions-1512.09188</loc><lastmod>2016-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-properties-of-the-homology-algebra-of-the-koszul-complex-of-a-local-ring-examples-and-questions-1512.09188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-properties-of-the-homology-algebra-of-the-koszul-complex-of-a-local-ring-examples-and-questions-1512.09188"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-products-of-ideals-1601.00014</loc><lastmod>2016-02-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-products-of-ideals-1601.00014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-products-of-ideals-1601.00014"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-the-path-ideal-of-a-cycle-graph-1601.00261</loc><lastmod>2019-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-the-path-ideal-of-a-cycle-graph-1601.00261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-the-path-ideal-of-a-cycle-graph-1601.00261"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-characterization-of-the-invertibility-of-polynomial-maps-1601.00332</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-characterization-of-the-invertibility-of-polynomial-maps-1601.00332"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-characterization-of-the-invertibility-of-polynomial-maps-1601.00332"/></url>
<url><loc>https://scifaro.com/en/abs/expansion-of-a-simplicial-complex-1601.00456</loc><lastmod>2016-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/expansion-of-a-simplicial-complex-1601.00456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/expansion-of-a-simplicial-complex-1601.00456"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-polynomial-maps-with-jacobian-rank-two-1601.00579</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-polynomial-maps-with-jacobian-rank-two-1601.00579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-polynomial-maps-with-jacobian-rank-two-1601.00579"/></url>
<url><loc>https://scifaro.com/en/abs/very-flat-locally-very-flat-and-contraadjusted-modules-1601.00783</loc><lastmod>2019-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/very-flat-locally-very-flat-and-contraadjusted-modules-1601.00783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/very-flat-locally-very-flat-and-contraadjusted-modules-1601.00783"/></url>
<url><loc>https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-1601.00916</loc><lastmod>2016-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-1601.00916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-1601.00916"/></url>
<url><loc>https://scifaro.com/en/abs/cohomology-of-finite-modules-over-short-gorenstein-rings-1601.00930</loc><lastmod>2016-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomology-of-finite-modules-over-short-gorenstein-rings-1601.00930"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomology-of-finite-modules-over-short-gorenstein-rings-1601.00930"/></url>
<url><loc>https://scifaro.com/en/abs/entropy-in-the-category-of-perfect-complexes-with-cohomology-of-finite-length-1601.01064</loc><lastmod>2018-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/entropy-in-the-category-of-perfect-complexes-with-cohomology-of-finite-length-1601.01064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/entropy-in-the-category-of-perfect-complexes-with-cohomology-of-finite-length-1601.01064"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-certain-block-graphs-1601.01086</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-certain-block-graphs-1601.01086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-certain-block-graphs-1601.01086"/></url>
<url><loc>https://scifaro.com/en/abs/weak-dimension-of-fp-injective-modules-over-chain-rings-1601.01103</loc><lastmod>2016-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-dimension-of-fp-injective-modules-over-chain-rings-1601.01103"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-dimension-of-fp-injective-modules-over-chain-rings-1601.01103"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-difference-ideals-1601.01148</loc><lastmod>2016-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-difference-ideals-1601.01148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-difference-ideals-1601.01148"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-dade-s-lemma-for-local-rings-1601.01238</loc><lastmod>2017-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-dade-s-lemma-for-local-rings-1601.01238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-dade-s-lemma-for-local-rings-1601.01238"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-modules-over-laterally-complete-regular-algebras-1601.01395</loc><lastmod>2016-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-modules-over-laterally-complete-regular-algebras-1601.01395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-modules-over-laterally-complete-regular-algebras-1601.01395"/></url>
<url><loc>https://scifaro.com/en/abs/matchings-in-hypergraphs-and-castelnuovo-mumford-regularity-1601.01456</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matchings-in-hypergraphs-and-castelnuovo-mumford-regularity-1601.01456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matchings-in-hypergraphs-and-castelnuovo-mumford-regularity-1601.01456"/></url>
<url><loc>https://scifaro.com/en/abs/analogs-of-jacobian-conditions-for-subrings-1601.01508</loc><lastmod>2016-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analogs-of-jacobian-conditions-for-subrings-1601.01508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analogs-of-jacobian-conditions-for-subrings-1601.01508"/></url>
<url><loc>https://scifaro.com/en/abs/towards-hilbert-kunz-density-functions-in-characteristic-0-1601.01775</loc><lastmod>2017-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towards-hilbert-kunz-density-functions-in-characteristic-0-1601.01775"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towards-hilbert-kunz-density-functions-in-characteristic-0-1601.01775"/></url>
<url><loc>https://scifaro.com/en/abs/on-function-compositions-that-are-polynomials-1601.01779</loc><lastmod>2019-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-function-compositions-that-are-polynomials-1601.01779"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-function-compositions-that-are-polynomials-1601.01779"/></url>
<url><loc>https://scifaro.com/en/abs/non-vanishing-results-on-local-cohomology-of-valuation-rings-1601.01954</loc><lastmod>2017-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-vanishing-results-on-local-cohomology-of-valuation-rings-1601.01954"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-vanishing-results-on-local-cohomology-of-valuation-rings-1601.01954"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-projective-precovers-1601.02169</loc><lastmod>2016-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-projective-precovers-1601.02169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-projective-precovers-1601.02169"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-invariant-commutative-algebra-over-fields-1601.02473</loc><lastmod>2016-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-invariant-commutative-algebra-over-fields-1601.02473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-invariant-commutative-algebra-over-fields-1601.02473"/></url>
<url><loc>https://scifaro.com/en/abs/f-injectivity-and-frobenius-closure-of-ideals-in-noetherian-rings-of-characteristic-p-0-1601.02524</loc><lastmod>2017-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-injectivity-and-frobenius-closure-of-ideals-in-noetherian-rings-of-characteristic-p-0-1601.02524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-injectivity-and-frobenius-closure-of-ideals-in-noetherian-rings-of-characteristic-p-0-1601.02524"/></url>
<url><loc>https://scifaro.com/en/abs/an-analogue-of-the-aluffi-algebra-for-modules-1601.02674</loc><lastmod>2016-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-analogue-of-the-aluffi-algebra-for-modules-1601.02674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-analogue-of-the-aluffi-algebra-for-modules-1601.02674"/></url>
<url><loc>https://scifaro.com/en/abs/prime-gamma-rings-with-centralizing-and-commuting-generalized-derivations-1601.02751</loc><lastmod>2016-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-gamma-rings-with-centralizing-and-commuting-generalized-derivations-1601.02751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-gamma-rings-with-centralizing-and-commuting-generalized-derivations-1601.02751"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-depths-of-powers-of-edge-ideals-1601.02766</loc><lastmod>2016-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-depths-of-powers-of-edge-ideals-1601.02766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-depths-of-powers-of-edge-ideals-1601.02766"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-letterplace-ideals-of-posets-1601.02792</loc><lastmod>2020-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-letterplace-ideals-of-posets-1601.02792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-letterplace-ideals-of-posets-1601.02792"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-co-letterplace-ideals-and-generalizations-of-bier-spheres-1601.02793</loc><lastmod>2020-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-co-letterplace-ideals-and-generalizations-of-bier-spheres-1601.02793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-co-letterplace-ideals-and-generalizations-of-bier-spheres-1601.02793"/></url>
<url><loc>https://scifaro.com/en/abs/effective-bounds-for-the-consistency-of-differential-equations-1601.02995</loc><lastmod>2017-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-bounds-for-the-consistency-of-differential-equations-1601.02995"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-bounds-for-the-consistency-of-differential-equations-1601.02995"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-almost-cohen-macaulay-algebras-implies-the-existence-of-big-cohen-macaulay-algebras-1601.03335</loc><lastmod>2016-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-almost-cohen-macaulay-algebras-implies-the-existence-of-big-cohen-macaulay-algebras-1601.03335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-almost-cohen-macaulay-algebras-implies-the-existence-of-big-cohen-macaulay-algebras-1601.03335"/></url>
<url><loc>https://scifaro.com/en/abs/spectral-spaces-of-semistar-operations-1601.03522</loc><lastmod>2016-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spectral-spaces-of-semistar-operations-1601.03522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spectral-spaces-of-semistar-operations-1601.03522"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-borel-fixed-ideals-of-maximal-minors-1601.03987</loc><lastmod>2016-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-borel-fixed-ideals-of-maximal-minors-1601.03987"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-borel-fixed-ideals-of-maximal-minors-1601.03987"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-properties-for-artinian-gorenstein-algebras-presented-by-quadrics-1601.04454</loc><lastmod>2017-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-for-artinian-gorenstein-algebras-presented-by-quadrics-1601.04454"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-for-artinian-gorenstein-algebras-presented-by-quadrics-1601.04454"/></url>
<url><loc>https://scifaro.com/en/abs/the-universal-gr-obner-basis-of-a-binomial-edge-ideal-1601.04575</loc><lastmod>2020-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-universal-gr-obner-basis-of-a-binomial-edge-ideal-1601.04575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-universal-gr-obner-basis-of-a-binomial-edge-ideal-1601.04575"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-envelopes-and-covers-over-two-sided-noetherian-rings-1601.04665</loc><lastmod>2016-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-envelopes-and-covers-over-two-sided-noetherian-rings-1601.04665"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-envelopes-and-covers-over-two-sided-noetherian-rings-1601.04665"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-triangular-graphs-1601.05016</loc><lastmod>2016-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-triangular-graphs-1601.05016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-triangular-graphs-1601.05016"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-joint-reduction-numbers-and-product-of-complete-ideals-1601.05615</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-joint-reduction-numbers-and-product-of-complete-ideals-1601.05615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-multi-rees-algebras-joint-reduction-numbers-and-product-of-complete-ideals-1601.05615"/></url>
<url><loc>https://scifaro.com/en/abs/postulation-and-reduction-vectors-of-multigraded-filtrations-of-ideals-1601.05622</loc><lastmod>2016-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/postulation-and-reduction-vectors-of-multigraded-filtrations-of-ideals-1601.05622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/postulation-and-reduction-vectors-of-multigraded-filtrations-of-ideals-1601.05622"/></url>
<url><loc>https://scifaro.com/en/abs/regular-submodules-of-torsion-modules-over-a-discrete-valuation-domain-1601.06356</loc><lastmod>2016-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-submodules-of-torsion-modules-over-a-discrete-valuation-domain-1601.06356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-submodules-of-torsion-modules-over-a-discrete-valuation-domain-1601.06356"/></url>
<url><loc>https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-ii-1601.06367</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-ii-1601.06367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-annihilating-submodule-graph-of-modules-over-commutative-rings-ii-1601.06367"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-mcm-modules-over-the-cone-of-an-elliptic-normal-curve-1601.06462</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-mcm-modules-over-the-cone-of-an-elliptic-normal-curve-1601.06462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-mcm-modules-over-the-cone-of-an-elliptic-normal-curve-1601.06462"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-decomposition-group-of-a-zero-dimensional-ideal-by-elimination-method-1601.06626</loc><lastmod>2016-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-decomposition-group-of-a-zero-dimensional-ideal-by-elimination-method-1601.06626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-decomposition-group-of-a-zero-dimensional-ideal-by-elimination-method-1601.06626"/></url>
<url><loc>https://scifaro.com/en/abs/nested-artin-approximation-1601.06654</loc><lastmod>2016-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nested-artin-approximation-1601.06654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nested-artin-approximation-1601.06654"/></url>
<url><loc>https://scifaro.com/en/abs/the-egh-conjecture-and-the-sperner-property-of-complete-intersections-1601.06928</loc><lastmod>2016-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-egh-conjecture-and-the-sperner-property-of-complete-intersections-1601.06928"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-egh-conjecture-and-the-sperner-property-of-complete-intersections-1601.06928"/></url>
<url><loc>https://scifaro.com/en/abs/controlling-the-dimensions-of-formal-fibers-of-a-unique-factorization-domain-at-the-height-one-prime-ideals-1601.07136</loc><lastmod>2016-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/controlling-the-dimensions-of-formal-fibers-of-a-unique-factorization-domain-at-the-height-one-prime-ideals-1601.07136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/controlling-the-dimensions-of-formal-fibers-of-a-unique-factorization-domain-at-the-height-one-prime-ideals-1601.07136"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-ii-pseudo-symmetric-aa-semigroups-1601.07337</loc><lastmod>2017-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-ii-pseudo-symmetric-aa-semigroups-1601.07337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-ii-pseudo-symmetric-aa-semigroups-1601.07337"/></url>
<url><loc>https://scifaro.com/en/abs/galois-closure-data-for-extensions-of-rings-1601.07389</loc><lastmod>2016-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-closure-data-for-extensions-of-rings-1601.07389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-closure-data-for-extensions-of-rings-1601.07389"/></url>
<url><loc>https://scifaro.com/en/abs/minimum-distance-functions-of-complete-intersections-1601.07604</loc><lastmod>2019-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimum-distance-functions-of-complete-intersections-1601.07604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimum-distance-functions-of-complete-intersections-1601.07604"/></url>
<url><loc>https://scifaro.com/en/abs/bi-amalgamations-subject-to-the-arithmetical-property-1601.07653</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-amalgamations-subject-to-the-arithmetical-property-1601.07653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-amalgamations-subject-to-the-arithmetical-property-1601.07653"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-theory-of-tensor-products-of-af-rings-1601.07654</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-theory-of-tensor-products-of-af-rings-1601.07654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-theory-of-tensor-products-of-af-rings-1601.07654"/></url>
<url><loc>https://scifaro.com/en/abs/prufer-conditions-in-an-amalgamated-duplication-of-a-ring-along-an-ideal-1601.07656</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prufer-conditions-in-an-amalgamated-duplication-of-a-ring-along-an-ideal-1601.07656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prufer-conditions-in-an-amalgamated-duplication-of-a-ring-along-an-ideal-1601.07656"/></url>
<url><loc>https://scifaro.com/en/abs/weak-global-dimension-of-prufer-like-rings-1601.07657</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-global-dimension-of-prufer-like-rings-1601.07657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-global-dimension-of-prufer-like-rings-1601.07657"/></url>
<url><loc>https://scifaro.com/en/abs/integral-domains-with-boolean-t-class-semigroup-1601.07660</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-domains-with-boolean-t-class-semigroup-1601.07660"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-domains-with-boolean-t-class-semigroup-1601.07660"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-divisorial-ideals-arising-from-dimer-models-1601.07747</loc><lastmod>2016-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-divisorial-ideals-arising-from-dimer-models-1601.07747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-divisorial-ideals-arising-from-dimer-models-1601.07747"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-regularity-of-stanley-reisner-rings-1602.00014</loc><lastmod>2017-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-regularity-of-stanley-reisner-rings-1602.00014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-regularity-of-stanley-reisner-rings-1602.00014"/></url>
<url><loc>https://scifaro.com/en/abs/new-order-bounds-in-differential-elimination-algorithms-1602.00246</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-order-bounds-in-differential-elimination-algorithms-1602.00246"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-order-bounds-in-differential-elimination-algorithms-1602.00246"/></url>
<url><loc>https://scifaro.com/en/abs/on-semigroup-rings-with-decreasing-hilbert-function-1602.00327</loc><lastmod>2016-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-semigroup-rings-with-decreasing-hilbert-function-1602.00327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-semigroup-rings-with-decreasing-hilbert-function-1602.00327"/></url>
<url><loc>https://scifaro.com/en/abs/one-dimensional-gorenstein-local-rings-with-decreasing-hilbert-function-1602.00334</loc><lastmod>2016-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-dimensional-gorenstein-local-rings-with-decreasing-hilbert-function-1602.00334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-dimensional-gorenstein-local-rings-with-decreasing-hilbert-function-1602.00334"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-primes-of-local-cohomology-1602.00421</loc><lastmod>2016-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-primes-of-local-cohomology-1602.00421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-primes-of-local-cohomology-1602.00421"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-support-and-the-geometric-join-1602.00429</loc><lastmod>2016-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-support-and-the-geometric-join-1602.00429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-support-and-the-geometric-join-1602.00429"/></url>
<url><loc>https://scifaro.com/en/abs/revisiting-zariski-main-theorem-from-a-constructive-point-of-view-1602.00597</loc><lastmod>2016-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/revisiting-zariski-main-theorem-from-a-constructive-point-of-view-1602.00597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/revisiting-zariski-main-theorem-from-a-constructive-point-of-view-1602.00597"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-real-rank-of-monomials-1602.01151</loc><lastmod>2019-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-real-rank-of-monomials-1602.01151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-real-rank-of-monomials-1602.01151"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-derivations-on-k-ahler-modules-1602.01343</loc><lastmod>2016-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-derivations-on-k-ahler-modules-1602.01343"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-derivations-on-k-ahler-modules-1602.01343"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-the-rees-algebras-of-parameter-ideals-almost-gorenstein-graded-rings-1602.01378</loc><lastmod>2017-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-the-rees-algebras-of-parameter-ideals-almost-gorenstein-graded-rings-1602.01378"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-the-rees-algebras-of-parameter-ideals-almost-gorenstein-graded-rings-1602.01378"/></url>
<url><loc>https://scifaro.com/en/abs/a-short-proof-of-a-result-of-katz-and-west-1602.01981</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-short-proof-of-a-result-of-katz-and-west-1602.01981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-short-proof-of-a-result-of-katz-and-west-1602.01981"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-subadditivity-of-syzygies-1602.02116</loc><lastmod>2016-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-subadditivity-of-syzygies-1602.02116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-subadditivity-of-syzygies-1602.02116"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-orders-and-chordality-1602.02258</loc><lastmod>2016-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-orders-and-chordality-1602.02258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-orders-and-chordality-1602.02258"/></url>
<url><loc>https://scifaro.com/en/abs/tame-graphs-clutters-and-their-rees-algebras-1602.02431</loc><lastmod>2016-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-graphs-clutters-and-their-rees-algebras-1602.02431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-graphs-clutters-and-their-rees-algebras-1602.02431"/></url>
<url><loc>https://scifaro.com/en/abs/adically-finite-chain-complexes-1602.03224</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adically-finite-chain-complexes-1602.03224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adically-finite-chain-complexes-1602.03224"/></url>
<url><loc>https://scifaro.com/en/abs/adic-finiteness-bounding-homology-and-applications-1602.03225</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adic-finiteness-bounding-homology-and-applications-1602.03225"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adic-finiteness-bounding-homology-and-applications-1602.03225"/></url>
<url><loc>https://scifaro.com/en/abs/extended-local-cohomology-and-local-homology-1602.03226</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extended-local-cohomology-and-local-homology-1602.03226"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extended-local-cohomology-and-local-homology-1602.03226"/></url>
<url><loc>https://scifaro.com/en/abs/adic-foxby-classes-1602.03227</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adic-foxby-classes-1602.03227"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adic-foxby-classes-1602.03227"/></url>
<url><loc>https://scifaro.com/en/abs/blowing-up-finitely-supported-complete-ideals-in-a-regular-local-ring-1602.03588</loc><lastmod>2016-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowing-up-finitely-supported-complete-ideals-in-a-regular-local-ring-1602.03588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowing-up-finitely-supported-complete-ideals-in-a-regular-local-ring-1602.03588"/></url>
<url><loc>https://scifaro.com/en/abs/adic-reduction-to-the-diagonal-and-a-relation-between-cofiniteness-and-derived-completion-1602.03874</loc><lastmod>2017-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adic-reduction-to-the-diagonal-and-a-relation-between-cofiniteness-and-derived-completion-1602.03874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adic-reduction-to-the-diagonal-and-a-relation-between-cofiniteness-and-derived-completion-1602.03874"/></url>
<url><loc>https://scifaro.com/en/abs/implicitization-of-hypersurfaces-1602.03993</loc><lastmod>2016-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/implicitization-of-hypersurfaces-1602.03993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/implicitization-of-hypersurfaces-1602.03993"/></url>
<url><loc>https://scifaro.com/en/abs/rings-satisfying-property-1602.04174</loc><lastmod>2016-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-satisfying-property-1602.04174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-satisfying-property-1602.04174"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-the-cohomological-criterion-for-noetherian-regular-local-rings-1602.05379</loc><lastmod>2018-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-cohomological-criterion-for-noetherian-regular-local-rings-1602.05379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-cohomological-criterion-for-noetherian-regular-local-rings-1602.05379"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-global-complete-intersections-1602.05669</loc><lastmod>2016-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-global-complete-intersections-1602.05669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-injectivity-of-frobenius-on-local-cohomology-of-global-complete-intersections-1602.05669"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-property-of-affine-semigroup-rings-in-dimension-2-1602.05843</loc><lastmod>2016-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-affine-semigroup-rings-in-dimension-2-1602.05843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-affine-semigroup-rings-in-dimension-2-1602.05843"/></url>
<url><loc>https://scifaro.com/en/abs/depth-stability-of-edge-ideals-1602.05890</loc><lastmod>2016-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-stability-of-edge-ideals-1602.05890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-stability-of-edge-ideals-1602.05890"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bound-for-separating-invariants-of-abelian-groups-1602.06597</loc><lastmod>2016-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bound-for-separating-invariants-of-abelian-groups-1602.06597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bound-for-separating-invariants-of-abelian-groups-1602.06597"/></url>
<url><loc>https://scifaro.com/en/abs/a-duality-in-buchsbaum-rings-and-triangulated-manifolds-1602.06613</loc><lastmod>2017-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-duality-in-buchsbaum-rings-and-triangulated-manifolds-1602.06613"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-duality-in-buchsbaum-rings-and-triangulated-manifolds-1602.06613"/></url>
<url><loc>https://scifaro.com/en/abs/size-and-stanley-depth-of-monomial-ideals-1602.06760</loc><lastmod>2016-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/size-and-stanley-depth-of-monomial-ideals-1602.06760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/size-and-stanley-depth-of-monomial-ideals-1602.06760"/></url>
<url><loc>https://scifaro.com/en/abs/star-reductions-of-ideals-and-prufer-v-multiplication-domains-1602.07035</loc><lastmod>2016-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-reductions-of-ideals-and-prufer-v-multiplication-domains-1602.07035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-reductions-of-ideals-and-prufer-v-multiplication-domains-1602.07035"/></url>
<url><loc>https://scifaro.com/en/abs/t-reductions-and-t-integral-closure-of-ideals-1602.07041</loc><lastmod>2016-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/t-reductions-and-t-integral-closure-of-ideals-1602.07041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/t-reductions-and-t-integral-closure-of-ideals-1602.07041"/></url>
<url><loc>https://scifaro.com/en/abs/isotropy-of-5-dimensional-quadratic-forms-over-the-function-field-of-a-quadric-in-characteristic-2-1602.07093</loc><lastmod>2016-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isotropy-of-5-dimensional-quadratic-forms-over-the-function-field-of-a-quadric-in-characteristic-2-1602.07093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isotropy-of-5-dimensional-quadratic-forms-over-the-function-field-of-a-quadric-in-characteristic-2-1602.07093"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-n-absorbing-ideals-of-commutative-rings-1602.07134</loc><lastmod>2016-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-n-absorbing-ideals-of-commutative-rings-1602.07134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-n-absorbing-ideals-of-commutative-rings-1602.07134"/></url>
<url><loc>https://scifaro.com/en/abs/the-symmetric-signature-1602.07184</loc><lastmod>2017-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symmetric-signature-1602.07184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symmetric-signature-1602.07184"/></url>
<url><loc>https://scifaro.com/en/abs/effective-criteria-for-bigraded-birational-maps-1602.07490</loc><lastmod>2016-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-criteria-for-bigraded-birational-maps-1602.07490"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-criteria-for-bigraded-birational-maps-1602.07490"/></url>
<url><loc>https://scifaro.com/en/abs/mapping-toric-varieties-into-low-dimensional-spaces-1602.07585</loc><lastmod>2018-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mapping-toric-varieties-into-low-dimensional-spaces-1602.07585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mapping-toric-varieties-into-low-dimensional-spaces-1602.07585"/></url>
<url><loc>https://scifaro.com/en/abs/the-artin-springer-theorem-for-quadratic-forms-over-semi-local-rings-with-finite-residue-fields-1602.07739</loc><lastmod>2016-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-artin-springer-theorem-for-quadratic-forms-over-semi-local-rings-with-finite-residue-fields-1602.07739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-artin-springer-theorem-for-quadratic-forms-over-semi-local-rings-with-finite-residue-fields-1602.07739"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolutions-of-powers-and-products-1602.07996</loc><lastmod>2016-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolutions-of-powers-and-products-1602.07996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolutions-of-powers-and-products-1602.07996"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-the-size-of-a-monomial-ideal-1602.08025</loc><lastmod>2016-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-the-size-of-a-monomial-ideal-1602.08025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-the-size-of-a-monomial-ideal-1602.08025"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-non-free-totally-reflexive-modules-1602.08385</loc><lastmod>2019-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-non-free-totally-reflexive-modules-1602.08385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-non-free-totally-reflexive-modules-1602.08385"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-and-syzygies-of-linked-modules-1602.08625</loc><lastmod>2017-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-and-syzygies-of-linked-modules-1602.08625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-and-syzygies-of-linked-modules-1602.08625"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-betti-numbers-of-monomial-ideals-in-the-exterior-algebra-1602.08864</loc><lastmod>2016-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-betti-numbers-of-monomial-ideals-in-the-exterior-algebra-1602.08864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-betti-numbers-of-monomial-ideals-in-the-exterior-algebra-1602.08864"/></url>
<url><loc>https://scifaro.com/en/abs/the-survival-complex-1602.08998</loc><lastmod>2016-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-survival-complex-1602.08998"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-survival-complex-1602.08998"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-betti-numbers-of-graded-modules-1603.00011</loc><lastmod>2016-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-graded-modules-1603.00011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-graded-modules-1603.00011"/></url>
<url><loc>https://scifaro.com/en/abs/integral-dimension-of-a-noetherian-ring-1603.00045</loc><lastmod>2016-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-dimension-of-a-noetherian-ring-1603.00045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-dimension-of-a-noetherian-ring-1603.00045"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-modules-of-complexes-1603.00186</loc><lastmod>2016-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-modules-of-complexes-1603.00186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-modules-of-complexes-1603.00186"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-gorenstein-planar-graphs-1603.00326</loc><lastmod>2016-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-gorenstein-planar-graphs-1603.00326"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-gorenstein-planar-graphs-1603.00326"/></url>
<url><loc>https://scifaro.com/en/abs/finite-f-type-and-f-abundant-modules-1603.00334</loc><lastmod>2016-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-f-type-and-f-abundant-modules-1603.00334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-f-type-and-f-abundant-modules-1603.00334"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-numerical-semigroups-1603.01078</loc><lastmod>2018-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-numerical-semigroups-1603.01078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-numerical-semigroups-1603.01078"/></url>
<url><loc>https://scifaro.com/en/abs/hypergraphs-with-high-projective-dimension-and-1-dimensional-hypergraphs-1603.01331</loc><lastmod>2016-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hypergraphs-with-high-projective-dimension-and-1-dimensional-hypergraphs-1603.01331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hypergraphs-with-high-projective-dimension-and-1-dimensional-hypergraphs-1603.01331"/></url>
<url><loc>https://scifaro.com/en/abs/variations-on-the-grothendieck-serre-formula-for-hilbert-functions-and-their-applications-1603.01841</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/variations-on-the-grothendieck-serre-formula-for-hilbert-functions-and-their-applications-1603.01841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/variations-on-the-grothendieck-serre-formula-for-hilbert-functions-and-their-applications-1603.01841"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-and-ideals-of-stable-set-polytopes-1603.01850</loc><lastmod>2019-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-and-ideals-of-stable-set-polytopes-1603.01850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-and-ideals-of-stable-set-polytopes-1603.01850"/></url>
<url><loc>https://scifaro.com/en/abs/monoids-with-absorbing-elements-and-their-associated-algebras-1603.02093</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monoids-with-absorbing-elements-and-their-associated-algebras-1603.02093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monoids-with-absorbing-elements-and-their-associated-algebras-1603.02093"/></url>
<url><loc>https://scifaro.com/en/abs/one-dimensional-stable-rings-1603.02173</loc><lastmod>2016-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-dimensional-stable-rings-1603.02173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-dimensional-stable-rings-1603.02173"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-kernel-of-a-pair-of-linear-maps-1603.02730</loc><lastmod>2016-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-kernel-of-a-pair-of-linear-maps-1603.02730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-kernel-of-a-pair-of-linear-maps-1603.02730"/></url>
<url><loc>https://scifaro.com/en/abs/support-and-rank-varieties-of-totally-acyclic-complexes-1603.02731</loc><lastmod>2016-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-and-rank-varieties-of-totally-acyclic-complexes-1603.02731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-and-rank-varieties-of-totally-acyclic-complexes-1603.02731"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-additive-modular-and-probability-functions-on-pre-semirings-1603.03201</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-additive-modular-and-probability-functions-on-pre-semirings-1603.03201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-additive-modular-and-probability-functions-on-pre-semirings-1603.03201"/></url>
<url><loc>https://scifaro.com/en/abs/totally-acyclic-complexes-1603.03850</loc><lastmod>2016-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-acyclic-complexes-1603.03850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-acyclic-complexes-1603.03850"/></url>
<url><loc>https://scifaro.com/en/abs/restrictions-of-free-arrangements-and-the-division-theorem-1603.03863</loc><lastmod>2016-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restrictions-of-free-arrangements-and-the-division-theorem-1603.03863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restrictions-of-free-arrangements-and-the-division-theorem-1603.03863"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-a-special-class-of-borel-type-ideals-1603.03939</loc><lastmod>2019-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-a-special-class-of-borel-type-ideals-1603.03939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-a-special-class-of-borel-type-ideals-1603.03939"/></url>
<url><loc>https://scifaro.com/en/abs/prony-s-method-in-several-variables-symbolic-solutions-by-universal-interpolation-1603.03944</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prony-s-method-in-several-variables-symbolic-solutions-by-universal-interpolation-1603.03944"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prony-s-method-in-several-variables-symbolic-solutions-by-universal-interpolation-1603.03944"/></url>
<url><loc>https://scifaro.com/en/abs/a-function-determined-by-a-hypersurface-of-positive-characteristic-1603.04032</loc><lastmod>2016-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-function-determined-by-a-hypersurface-of-positive-characteristic-1603.04032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-function-determined-by-a-hypersurface-of-positive-characteristic-1603.04032"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-hilbert-kunz-multiplicity-1603.04297</loc><lastmod>2016-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-hilbert-kunz-multiplicity-1603.04297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-hilbert-kunz-multiplicity-1603.04297"/></url>
<url><loc>https://scifaro.com/en/abs/g-radical-supplemented-modules-1603.05517</loc><lastmod>2016-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-radical-supplemented-modules-1603.05517"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-radical-supplemented-modules-1603.05517"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-fiber-products-1603.05711</loc><lastmod>2016-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-fiber-products-1603.05711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-ext-and-tor-over-fiber-products-1603.05711"/></url>
<url><loc>https://scifaro.com/en/abs/which-series-are-hilbert-series-of-graded-modules-over-polynomial-rings-1603.06215</loc><lastmod>2025-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/which-series-are-hilbert-series-of-graded-modules-over-polynomial-rings-1603.06215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/which-series-are-hilbert-series-of-graded-modules-over-polynomial-rings-1603.06215"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-relations-and-catenary-degrees-in-krull-monoids-1603.06356</loc><lastmod>2016-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-relations-and-catenary-degrees-in-krull-monoids-1603.06356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-relations-and-catenary-degrees-in-krull-monoids-1603.06356"/></url>
<url><loc>https://scifaro.com/en/abs/the-symmetric-signature-of-cyclic-quotient-singularities-1603.06427</loc><lastmod>2021-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symmetric-signature-of-cyclic-quotient-singularities-1603.06427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symmetric-signature-of-cyclic-quotient-singularities-1603.06427"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-sign-patterns-of-the-coefficients-of-hilbert-polynomials-1603.06444</loc><lastmod>2017-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-sign-patterns-of-the-coefficients-of-hilbert-polynomials-1603.06444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-sign-patterns-of-the-coefficients-of-hilbert-polynomials-1603.06444"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-injective-dimension-of-f-finite-modules-and-holonomic-d-modules-1603.06639</loc><lastmod>2017-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-injective-dimension-of-f-finite-modules-and-holonomic-d-modules-1603.06639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-injective-dimension-of-f-finite-modules-and-holonomic-d-modules-1603.06639"/></url>
<url><loc>https://scifaro.com/en/abs/new-classes-of-parameterized-differential-galois-groups-1603.06797</loc><lastmod>2016-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-classes-of-parameterized-differential-galois-groups-1603.06797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-classes-of-parameterized-differential-galois-groups-1603.06797"/></url>
<url><loc>https://scifaro.com/en/abs/a-gorenstein-criterion-for-strongly-f-regular-and-log-terminal-singularities-1603.08422</loc><lastmod>2024-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gorenstein-criterion-for-strongly-f-regular-and-log-terminal-singularities-1603.08422"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gorenstein-criterion-for-strongly-f-regular-and-log-terminal-singularities-1603.08422"/></url>
<url><loc>https://scifaro.com/en/abs/trace-ideals-and-centers-of-endomorphism-rings-of-modules-over-commutative-rings-1603.08576</loc><lastmod>2016-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-ideals-and-centers-of-endomorphism-rings-of-modules-over-commutative-rings-1603.08576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-ideals-and-centers-of-endomorphism-rings-of-modules-over-commutative-rings-1603.08576"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-watanabe-s-bold-conjecture-1603.09401</loc><lastmod>2016-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-watanabe-s-bold-conjecture-1603.09401"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-watanabe-s-bold-conjecture-1603.09401"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-de-rham-homology-and-cohomology-of-a-complete-local-ring-in-equicharacteristic-zero-1603.09743</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-de-rham-homology-and-cohomology-of-a-complete-local-ring-in-equicharacteristic-zero-1603.09743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-de-rham-homology-and-cohomology-of-a-complete-local-ring-in-equicharacteristic-zero-1603.09743"/></url>
<url><loc>https://scifaro.com/en/abs/extension-groups-for-dg-modules-1604.00516</loc><lastmod>2016-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-groups-for-dg-modules-1604.00516"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-groups-for-dg-modules-1604.00516"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-not-complete-intersection-semigroups-generated-by-five-elements-1604.00577</loc><lastmod>2018-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-not-complete-intersection-semigroups-generated-by-five-elements-1604.00577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-not-complete-intersection-semigroups-generated-by-five-elements-1604.00577"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-cover-ideal-of-very-well-covered-and-bipartite-graphs-1604.00654</loc><lastmod>2016-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-cover-ideal-of-very-well-covered-and-bipartite-graphs-1604.00654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-cover-ideal-of-very-well-covered-and-bipartite-graphs-1604.00654"/></url>
<url><loc>https://scifaro.com/en/abs/depth-stanley-depth-and-regularity-of-ideals-associated-to-graphs-1604.00656</loc><lastmod>2016-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-stanley-depth-and-regularity-of-ideals-associated-to-graphs-1604.00656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-stanley-depth-and-regularity-of-ideals-associated-to-graphs-1604.00656"/></url>
<url><loc>https://scifaro.com/en/abs/m-ethodes-matricielles-introduction-a-la-complexit-e-alg-ebrique-1604.00795</loc><lastmod>2016-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/m-ethodes-matricielles-introduction-a-la-complexit-e-alg-ebrique-1604.00795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/m-ethodes-matricielles-introduction-a-la-complexit-e-alg-ebrique-1604.00795"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-complete-intersections-1604.01101</loc><lastmod>2018-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-complete-intersections-1604.01101"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-complete-intersections-1604.01101"/></url>
<url><loc>https://scifaro.com/en/abs/unitary-stable-ranks-and-norm-one-ranks-1604.01176</loc><lastmod>2016-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unitary-stable-ranks-and-norm-one-ranks-1604.01176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unitary-stable-ranks-and-norm-one-ranks-1604.01176"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-star-configurations-and-the-tutte-polynomial-1604.01311</loc><lastmod>2017-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-star-configurations-and-the-tutte-polynomial-1604.01311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-star-configurations-and-the-tutte-polynomial-1604.01311"/></url>
<url><loc>https://scifaro.com/en/abs/stably-co-tame-polynomial-automorphisms-over-commutative-rings-1604.01551</loc><lastmod>2016-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stably-co-tame-polynomial-automorphisms-over-commutative-rings-1604.01551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stably-co-tame-polynomial-automorphisms-over-commutative-rings-1604.01551"/></url>
<url><loc>https://scifaro.com/en/abs/a-probabilistic-approach-to-systems-of-parameters-and-noether-normalization-1604.01704</loc><lastmod>2019-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-probabilistic-approach-to-systems-of-parameters-and-noether-normalization-1604.01704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-probabilistic-approach-to-systems-of-parameters-and-noether-normalization-1604.01704"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-and-totally-reflexive-orders-1604.01748</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-and-totally-reflexive-orders-1604.01748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-and-totally-reflexive-orders-1604.01748"/></url>
<url><loc>https://scifaro.com/en/abs/chudnovsky-s-conjecture-for-very-general-points-in-mathbb-p-k-n-1604.02217</loc><lastmod>2017-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chudnovsky-s-conjecture-for-very-general-points-in-mathbb-p-k-n-1604.02217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chudnovsky-s-conjecture-for-very-general-points-in-mathbb-p-k-n-1604.02217"/></url>
<url><loc>https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-1604.02349</loc><lastmod>2016-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-1604.02349"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-1604.02349"/></url>
<url><loc>https://scifaro.com/en/abs/matlis-semi-regularity-in-trivial-ring-extensions-issued-from-integral-domains-1604.02795</loc><lastmod>2016-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matlis-semi-regularity-in-trivial-ring-extensions-issued-from-integral-domains-1604.02795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matlis-semi-regularity-in-trivial-ring-extensions-issued-from-integral-domains-1604.02795"/></url>
<url><loc>https://scifaro.com/en/abs/star-operations-on-numerical-semigroups-antichains-and-explicit-results-1604.02862</loc><lastmod>2016-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-operations-on-numerical-semigroups-antichains-and-explicit-results-1604.02862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-operations-on-numerical-semigroups-antichains-and-explicit-results-1604.02862"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-square-free-monomial-ideals-associated-to-two-integer-sequences-1604.02933</loc><lastmod>2018-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-square-free-monomial-ideals-associated-to-two-integer-sequences-1604.02933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-square-free-monomial-ideals-associated-to-two-integer-sequences-1604.02933"/></url>
<url><loc>https://scifaro.com/en/abs/zaks-conjecture-on-rings-with-semi-regular-proper-homomorphic-images-1604.03268</loc><lastmod>2016-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zaks-conjecture-on-rings-with-semi-regular-proper-homomorphic-images-1604.03268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zaks-conjecture-on-rings-with-semi-regular-proper-homomorphic-images-1604.03268"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-divisor-class-group-of-monadic-submonoids-of-rings-of-integer-valued-polynomials-1604.03594</loc><lastmod>2016-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-divisor-class-group-of-monadic-submonoids-of-rings-of-integer-valued-polynomials-1604.03594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-divisor-class-group-of-monadic-submonoids-of-rings-of-integer-valued-polynomials-1604.03594"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-n-syzygy-modules-n-torsionfree-1604.03684</loc><lastmod>2016-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-n-syzygy-modules-n-torsionfree-1604.03684"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-n-syzygy-modules-n-torsionfree-1604.03684"/></url>
<url><loc>https://scifaro.com/en/abs/the-automorphism-theorem-and-additive-group-actions-on-the-affine-plane-1604.04070</loc><lastmod>2016-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-automorphism-theorem-and-additive-group-actions-on-the-affine-plane-1604.04070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-automorphism-theorem-and-additive-group-actions-on-the-affine-plane-1604.04070"/></url>
<url><loc>https://scifaro.com/en/abs/completely-controlling-the-dimensions-of-formal-fiber-rings-at-prime-ideals-of-small-height-1604.04176</loc><lastmod>2016-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completely-controlling-the-dimensions-of-formal-fiber-rings-at-prime-ideals-of-small-height-1604.04176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completely-controlling-the-dimensions-of-formal-fiber-rings-at-prime-ideals-of-small-height-1604.04176"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-almost-gorenstein-property-in-rees-algebras-of-contracted-ideals-1604.04747</loc><lastmod>2019-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-almost-gorenstein-property-in-rees-algebras-of-contracted-ideals-1604.04747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-almost-gorenstein-property-in-rees-algebras-of-contracted-ideals-1604.04747"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-spectrum-of-rings-of-functions-1604.04866</loc><lastmod>2017-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-spectrum-of-rings-of-functions-1604.04866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-spectrum-of-rings-of-functions-1604.04866"/></url>
<url><loc>https://scifaro.com/en/abs/on-plane-polynomial-automorphisms-commuting-with-simple-derivations-1604.04933</loc><lastmod>2016-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-plane-polynomial-automorphisms-commuting-with-simple-derivations-1604.04933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-plane-polynomial-automorphisms-commuting-with-simple-derivations-1604.04933"/></url>
<url><loc>https://scifaro.com/en/abs/mcd-finite-domains-and-ascent-of-idf-property-in-polynomial-extensions-1604.05348</loc><lastmod>2019-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mcd-finite-domains-and-ascent-of-idf-property-in-polynomial-extensions-1604.05348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mcd-finite-domains-and-ascent-of-idf-property-in-polynomial-extensions-1604.05348"/></url>
<url><loc>https://scifaro.com/en/abs/semialgebraic-splines-1604.05947</loc><lastmod>2016-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semialgebraic-splines-1604.05947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semialgebraic-splines-1604.05947"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-index-of-s-equimultiple-fat-points-not-on-a-linear-r-1-space-s-le-r-3-1604.06347</loc><lastmod>2016-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-index-of-s-equimultiple-fat-points-not-on-a-linear-r-1-space-s-le-r-3-1604.06347"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-index-of-s-equimultiple-fat-points-not-on-a-linear-r-1-space-s-le-r-3-1604.06347"/></url>
<url><loc>https://scifaro.com/en/abs/relations-for-grothendieck-groups-of-gorenstein-rings-1604.06530</loc><lastmod>2016-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relations-for-grothendieck-groups-of-gorenstein-rings-1604.06530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relations-for-grothendieck-groups-of-gorenstein-rings-1604.06530"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-monomial-complete-intersections-in-positive-characteristic-1604.06820</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-monomial-complete-intersections-in-positive-characteristic-1604.06820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-monomial-complete-intersections-in-positive-characteristic-1604.06820"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-of-reducibility-of-powers-of-a-standard-parameter-ideal-1604.07055</loc><lastmod>2016-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-of-powers-of-a-standard-parameter-ideal-1604.07055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-of-powers-of-a-standard-parameter-ideal-1604.07055"/></url>
<url><loc>https://scifaro.com/en/abs/on-k-n-closed-submodules-1604.07656</loc><lastmod>2016-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-k-n-closed-submodules-1604.07656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-k-n-closed-submodules-1604.07656"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-generated-modules-over-quasi-euclidean-rings-1604.07813</loc><lastmod>2017-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-generated-modules-over-quasi-euclidean-rings-1604.07813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-generated-modules-over-quasi-euclidean-rings-1604.07813"/></url>
<url><loc>https://scifaro.com/en/abs/the-set-of-distances-in-seminormal-weakly-krull-monoids-1604.07986</loc><lastmod>2016-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-set-of-distances-in-seminormal-weakly-krull-monoids-1604.07986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-set-of-distances-in-seminormal-weakly-krull-monoids-1604.07986"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-functions-of-surface-rings-of-type-ade-1604.08435</loc><lastmod>2016-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-surface-rings-of-type-ade-1604.08435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-functions-of-surface-rings-of-type-ade-1604.08435"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-gr-obner-bases-of-symmetric-toric-ideals-1604.08517</loc><lastmod>2016-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-gr-obner-bases-of-symmetric-toric-ideals-1604.08517"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-gr-obner-bases-of-symmetric-toric-ideals-1604.08517"/></url>
<url><loc>https://scifaro.com/en/abs/on-quotients-of-generalized-euclidean-group-rings-1604.08639</loc><lastmod>2016-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-quotients-of-generalized-euclidean-group-rings-1604.08639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-quotients-of-generalized-euclidean-group-rings-1604.08639"/></url>
<url><loc>https://scifaro.com/en/abs/parametrizing-arf-numerical-semigroups-1604.08929</loc><lastmod>2016-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parametrizing-arf-numerical-semigroups-1604.08929"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parametrizing-arf-numerical-semigroups-1604.08929"/></url>
<url><loc>https://scifaro.com/en/abs/graph-connectivity-and-binomial-edge-ideals-1605.00314</loc><lastmod>2016-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graph-connectivity-and-binomial-edge-ideals-1605.00314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graph-connectivity-and-binomial-edge-ideals-1605.00314"/></url>
<url><loc>https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-cactus-graphs-1605.00471</loc><lastmod>2017-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-cactus-graphs-1605.00471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-arithmetical-rank-of-the-edge-ideals-of-cactus-graphs-1605.00471"/></url>
<url><loc>https://scifaro.com/en/abs/the-euclidean-criterion-for-irreducibles-1605.01298</loc><lastmod>2016-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-euclidean-criterion-for-irreducibles-1605.01298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-euclidean-criterion-for-irreducibles-1605.01298"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-rings-of-finite-rank-1605.01305</loc><lastmod>2016-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-rings-of-finite-rank-1605.01305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-rings-of-finite-rank-1605.01305"/></url>
<url><loc>https://scifaro.com/en/abs/a-computation-concerning-relative-hilbert-kunz-multiplicities-1605.01807</loc><lastmod>2016-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-computation-concerning-relative-hilbert-kunz-multiplicities-1605.01807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-computation-concerning-relative-hilbert-kunz-multiplicities-1605.01807"/></url>
<url><loc>https://scifaro.com/en/abs/cw-resolutions-of-monomial-ideals-that-are-supported-on-face-posets-1605.01985</loc><lastmod>2016-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cw-resolutions-of-monomial-ideals-that-are-supported-on-face-posets-1605.01985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cw-resolutions-of-monomial-ideals-that-are-supported-on-face-posets-1605.01985"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-d-uniform-r-partite-hypergraphs-1605.02655</loc><lastmod>2016-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-d-uniform-r-partite-hypergraphs-1605.02655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-d-uniform-r-partite-hypergraphs-1605.02655"/></url>
<url><loc>https://scifaro.com/en/abs/finite-commutative-rings-with-a-macwilliams-type-relation-for-the-m-spotty-hamming-weight-enumerators-1605.02870</loc><lastmod>2016-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-commutative-rings-with-a-macwilliams-type-relation-for-the-m-spotty-hamming-weight-enumerators-1605.02870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-commutative-rings-with-a-macwilliams-type-relation-for-the-m-spotty-hamming-weight-enumerators-1605.02870"/></url>
<url><loc>https://scifaro.com/en/abs/a-topological-version-of-hilbert-s-nullstellensatz-1605.03105</loc><lastmod>2016-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-topological-version-of-hilbert-s-nullstellensatz-1605.03105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-topological-version-of-hilbert-s-nullstellensatz-1605.03105"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-f-thresholds-and-related-limits-1605.03264</loc><lastmod>2017-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-f-thresholds-and-related-limits-1605.03264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-f-thresholds-and-related-limits-1605.03264"/></url>
<url><loc>https://scifaro.com/en/abs/an-easy-proof-of-the-general-neron-desingularization-in-dimension-leq-1-1605.04677</loc><lastmod>2016-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-easy-proof-of-the-general-neron-desingularization-in-dimension-leq-1-1605.04677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-easy-proof-of-the-general-neron-desingularization-in-dimension-leq-1-1605.04677"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-reduced-grades-of-modules-over-commutative-rings-1605.04722</loc><lastmod>2016-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-reduced-grades-of-modules-over-commutative-rings-1605.04722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-reduced-grades-of-modules-over-commutative-rings-1605.04722"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-algebra-constructive-methods-finite-projective-modules-1605.04832</loc><lastmod>2024-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-algebra-constructive-methods-finite-projective-modules-1605.04832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-algebra-constructive-methods-finite-projective-modules-1605.04832"/></url>
<url><loc>https://scifaro.com/en/abs/consecutive-cancellations-in-tor-modules-over-local-rings-1605.05220</loc><lastmod>2016-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/consecutive-cancellations-in-tor-modules-over-local-rings-1605.05220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/consecutive-cancellations-in-tor-modules-over-local-rings-1605.05220"/></url>
<url><loc>https://scifaro.com/en/abs/the-newton-complementary-dual-revisited-1605.05783</loc><lastmod>2016-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-newton-complementary-dual-revisited-1605.05783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-newton-complementary-dual-revisited-1605.05783"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bound-for-the-regularity-index-of-fat-points-1605.05955</loc><lastmod>2016-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bound-for-the-regularity-index-of-fat-points-1605.05955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bound-for-the-regularity-index-of-fat-points-1605.05955"/></url>
<url><loc>https://scifaro.com/en/abs/on-ascending-chains-of-ideals-in-the-polynomial-ring-1605.06263</loc><lastmod>2016-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ascending-chains-of-ideals-in-the-polynomial-ring-1605.06263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ascending-chains-of-ideals-in-the-polynomial-ring-1605.06263"/></url>
<url><loc>https://scifaro.com/en/abs/locally-finite-derivations-and-modular-coinvariants-1605.06363</loc><lastmod>2016-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-finite-derivations-and-modular-coinvariants-1605.06363"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-finite-derivations-and-modular-coinvariants-1605.06363"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-straightening-law-for-minors-of-a-matrix-1605.06696</loc><lastmod>2016-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-straightening-law-for-minors-of-a-matrix-1605.06696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-straightening-law-for-minors-of-a-matrix-1605.06696"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-regularity-of-toric-ideals-of-graphs-1605.06980</loc><lastmod>2016-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-regularity-of-toric-ideals-of-graphs-1605.06980"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-regularity-of-toric-ideals-of-graphs-1605.06980"/></url>
<url><loc>https://scifaro.com/en/abs/completion-and-torsion-over-commutative-dg-rings-1605.07447</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completion-and-torsion-over-commutative-dg-rings-1605.07447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completion-and-torsion-over-commutative-dg-rings-1605.07447"/></url>
<url><loc>https://scifaro.com/en/abs/lattice-complements-and-the-subadditivity-of-syzygies-of-simplicial-forests-1605.07727</loc><lastmod>2016-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lattice-complements-and-the-subadditivity-of-syzygies-of-simplicial-forests-1605.07727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lattice-complements-and-the-subadditivity-of-syzygies-of-simplicial-forests-1605.07727"/></url>
<url><loc>https://scifaro.com/en/abs/minimum-weight-codewords-of-the-hermitian-codes-are-supported-on-complete-intersections-1605.07827</loc><lastmod>2018-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimum-weight-codewords-of-the-hermitian-codes-are-supported-on-complete-intersections-1605.07827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimum-weight-codewords-of-the-hermitian-codes-are-supported-on-complete-intersections-1605.07827"/></url>
<url><loc>https://scifaro.com/en/abs/finding-all-monomials-in-a-polynomial-ideal-1605.08791</loc><lastmod>2016-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finding-all-monomials-in-a-polynomial-ideal-1605.08791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finding-all-monomials-in-a-polynomial-ideal-1605.08791"/></url>
<url><loc>https://scifaro.com/en/abs/the-koszul-property-for-spaces-of-quadrics-of-codimension-three-1605.09145</loc><lastmod>2020-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-koszul-property-for-spaces-of-quadrics-of-codimension-three-1605.09145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-koszul-property-for-spaces-of-quadrics-of-codimension-three-1605.09145"/></url>
<url><loc>https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-the-lower-side-of-the-newton-polygon-1605.09430</loc><lastmod>2017-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-the-lower-side-of-the-newton-polygon-1605.09430"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-the-lower-side-of-the-newton-polygon-1605.09430"/></url>
<url><loc>https://scifaro.com/en/abs/betti-splittings-for-powers-of-sums-of-ideals-1605.09621</loc><lastmod>2016-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-splittings-for-powers-of-sums-of-ideals-1605.09621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-splittings-for-powers-of-sums-of-ideals-1605.09621"/></url>
<url><loc>https://scifaro.com/en/abs/betti-categories-of-graded-modules-and-applications-to-monomial-ideals-and-toric-rings-1605.09748</loc><lastmod>2016-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-categories-of-graded-modules-and-applications-to-monomial-ideals-and-toric-rings-1605.09748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-categories-of-graded-modules-and-applications-to-monomial-ideals-and-toric-rings-1605.09748"/></url>
<url><loc>https://scifaro.com/en/abs/tropical-totally-positive-matrices-1606.00238</loc><lastmod>2019-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tropical-totally-positive-matrices-1606.00238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tropical-totally-positive-matrices-1606.00238"/></url>
<url><loc>https://scifaro.com/en/abs/a-special-case-of-the-two-dimensional-jacobian-conjecture-1606.00426</loc><lastmod>2016-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-special-case-of-the-two-dimensional-jacobian-conjecture-1606.00426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-special-case-of-the-two-dimensional-jacobian-conjecture-1606.00426"/></url>
<url><loc>https://scifaro.com/en/abs/on-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1606.00536</loc><lastmod>2017-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1606.00536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1606.00536"/></url>
<url><loc>https://scifaro.com/en/abs/harbourne-schenck-and-seceleanu-s-conjecture-1606.00552</loc><lastmod>2016-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/harbourne-schenck-and-seceleanu-s-conjecture-1606.00552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/harbourne-schenck-and-seceleanu-s-conjecture-1606.00552"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-non-artinianness-of-top-local-cohomology-modules-1606.00814</loc><lastmod>2016-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-non-artinianness-of-top-local-cohomology-modules-1606.00814"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-non-artinianness-of-top-local-cohomology-modules-1606.00814"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-generated-and-not-finitely-generated-rings-1606.00828</loc><lastmod>2020-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-generated-and-not-finitely-generated-rings-1606.00828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-generated-and-not-finitely-generated-rings-1606.00828"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-codimension-two-cohen-macaulay-ideals-1606.00935</loc><lastmod>2020-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-codimension-two-cohen-macaulay-ideals-1606.00935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-codimension-two-cohen-macaulay-ideals-1606.00935"/></url>
<url><loc>https://scifaro.com/en/abs/syzygy-bundles-and-the-weak-lefschetz-property-of-almost-complete-intersections-1606.01809</loc><lastmod>2016-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygy-bundles-and-the-weak-lefschetz-property-of-almost-complete-intersections-1606.01809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygy-bundles-and-the-weak-lefschetz-property-of-almost-complete-intersections-1606.01809"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebras-with-the-weak-lefschetz-property-1606.01812</loc><lastmod>2016-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebras-with-the-weak-lefschetz-property-1606.01812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebras-with-the-weak-lefschetz-property-1606.01812"/></url>
<url><loc>https://scifaro.com/en/abs/flatness-and-completion-revisited-1606.01832</loc><lastmod>2017-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flatness-and-completion-revisited-1606.01832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flatness-and-completion-revisited-1606.01832"/></url>
<url><loc>https://scifaro.com/en/abs/questions-about-boij-s-oderberg-theory-1606.01867</loc><lastmod>2019-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/questions-about-boij-s-oderberg-theory-1606.01867"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/questions-about-boij-s-oderberg-theory-1606.01867"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-actions-on-local-cohomology-modules-and-deformation-1606.02059</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-actions-on-local-cohomology-modules-and-deformation-1606.02059"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-actions-on-local-cohomology-modules-and-deformation-1606.02059"/></url>
<url><loc>https://scifaro.com/en/abs/structure-of-irreducible-homomorphisms-to-from-free-modules-1606.02621</loc><lastmod>2017-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-of-irreducible-homomorphisms-to-from-free-modules-1606.02621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-of-irreducible-homomorphisms-to-from-free-modules-1606.02621"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-splines-and-graphic-arrangements-1606.03091</loc><lastmod>2016-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-splines-and-graphic-arrangements-1606.03091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-splines-and-graphic-arrangements-1606.03091"/></url>
<url><loc>https://scifaro.com/en/abs/the-symmetric-signature-1606.03309</loc><lastmod>2016-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symmetric-signature-1606.03309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symmetric-signature-1606.03309"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-coherent-rings-and-modules-1606.03429</loc><lastmod>2016-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-coherent-rings-and-modules-1606.03429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-coherent-rings-and-modules-1606.03429"/></url>
<url><loc>https://scifaro.com/en/abs/the-module-theory-of-divided-power-algebras-1606.03431</loc><lastmod>2018-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-module-theory-of-divided-power-algebras-1606.03431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-module-theory-of-divided-power-algebras-1606.03431"/></url>
<url><loc>https://scifaro.com/en/abs/good-subsemigroups-of-mathbb-n-n-1606.03993</loc><lastmod>2017-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/good-subsemigroups-of-mathbb-n-n-1606.03993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/good-subsemigroups-of-mathbb-n-n-1606.03993"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generators-of-the-canonical-module-of-a-hibi-ring-a-criterion-of-level-property-and-the-degrees-of-generators-1606.04380</loc><lastmod>2017-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generators-of-the-canonical-module-of-a-hibi-ring-a-criterion-of-level-property-and-the-degrees-of-generators-1606.04380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generators-of-the-canonical-module-of-a-hibi-ring-a-criterion-of-level-property-and-the-degrees-of-generators-1606.04380"/></url>
<url><loc>https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-unique-factorization-1606.04531</loc><lastmod>2016-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-unique-factorization-1606.04531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-two-dimensional-jacobian-conjecture-and-unique-factorization-1606.04531"/></url>
<url><loc>https://scifaro.com/en/abs/systems-of-sets-of-lengths-transfer-krull-monoids-versus-weakly-krull-monoids-1606.05063</loc><lastmod>2017-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/systems-of-sets-of-lengths-transfer-krull-monoids-versus-weakly-krull-monoids-1606.05063"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/systems-of-sets-of-lengths-transfer-krull-monoids-versus-weakly-krull-monoids-1606.05063"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-regularity-reduction-vectors-and-postulation-vectors-1606.05891</loc><lastmod>2016-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-regularity-reduction-vectors-and-postulation-vectors-1606.05891"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-regularity-reduction-vectors-and-postulation-vectors-1606.05891"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-theory-for-binoids-1606.06478</loc><lastmod>2016-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-theory-for-binoids-1606.06478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-theory-for-binoids-1606.06478"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-davenport-mahler-bound-1606.06572</loc><lastmod>2016-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-davenport-mahler-bound-1606.06572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-davenport-mahler-bound-1606.06572"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-factorial-properties-of-subrings-1606.06592</loc><lastmod>2016-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-factorial-properties-of-subrings-1606.06592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-factorial-properties-of-subrings-1606.06592"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-the-difference-differential-galois-group-and-differential-relations-among-solutions-for-a-second-order-linear-difference-equation-1606.07109</loc><lastmod>2025-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-the-difference-differential-galois-group-and-differential-relations-among-solutions-for-a-second-order-linear-difference-equation-1606.07109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-the-difference-differential-galois-group-and-differential-relations-among-solutions-for-a-second-order-linear-difference-equation-1606.07109"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-symmetric-ideals-in-infinite-polynomial-rings-via-formal-languages-1606.07956</loc><lastmod>2016-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-symmetric-ideals-in-infinite-polynomial-rings-via-formal-languages-1606.07956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-symmetric-ideals-in-infinite-polynomial-rings-via-formal-languages-1606.07956"/></url>
<url><loc>https://scifaro.com/en/abs/totally-acyclic-approximations-1606.07976</loc><lastmod>2016-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-acyclic-approximations-1606.07976"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-acyclic-approximations-1606.07976"/></url>
<url><loc>https://scifaro.com/en/abs/sets-of-minimal-distances-and-characterizations-of-class-groups-of-krull-monoids-1606.08039</loc><lastmod>2016-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sets-of-minimal-distances-and-characterizations-of-class-groups-of-krull-monoids-1606.08039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sets-of-minimal-distances-and-characterizations-of-class-groups-of-krull-monoids-1606.08039"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-parallel-composition-of-paths-1606.08621</loc><lastmod>2016-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-parallel-composition-of-paths-1606.08621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-parallel-composition-of-paths-1606.08621"/></url>
<url><loc>https://scifaro.com/en/abs/reduction-of-some-homological-conjectures-to-excellent-unique-factorization-domains-1607.00025</loc><lastmod>2016-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduction-of-some-homological-conjectures-to-excellent-unique-factorization-domains-1607.00025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduction-of-some-homological-conjectures-to-excellent-unique-factorization-domains-1607.00025"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-polynomials-in-tropical-algebra-semirings-1607.00245</loc><lastmod>2018-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-polynomials-in-tropical-algebra-semirings-1607.00245"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-polynomials-in-tropical-algebra-semirings-1607.00245"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-multiplicities-of-edge-ideals-1607.00733</loc><lastmod>2020-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-multiplicities-of-edge-ideals-1607.00733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-multiplicities-of-edge-ideals-1607.00733"/></url>
<url><loc>https://scifaro.com/en/abs/an-hopf-algebra-for-counting-simple-cycles-1607.00902</loc><lastmod>2017-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-hopf-algebra-for-counting-simple-cycles-1607.00902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-hopf-algebra-for-counting-simple-cycles-1607.00902"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-integral-closure-and-convexity-1607.01147</loc><lastmod>2016-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-integral-closure-and-convexity-1607.01147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-integral-closure-and-convexity-1607.01147"/></url>
<url><loc>https://scifaro.com/en/abs/a-canonical-polytopal-resolution-for-transversal-monomial-ideals-1607.01228</loc><lastmod>2016-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-canonical-polytopal-resolution-for-transversal-monomial-ideals-1607.01228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-canonical-polytopal-resolution-for-transversal-monomial-ideals-1607.01228"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-atomic-structure-of-puiseux-monoids-1607.01731</loc><lastmod>2017-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-atomic-structure-of-puiseux-monoids-1607.01731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-atomic-structure-of-puiseux-monoids-1607.01731"/></url>
<url><loc>https://scifaro.com/en/abs/global-parameter-test-ideals-1607.01947</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-parameter-test-ideals-1607.01947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-parameter-test-ideals-1607.01947"/></url>
<url><loc>https://scifaro.com/en/abs/proof-of-de-smit-s-conjecture-a-freeness-criterion-1607.02044</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proof-of-de-smit-s-conjecture-a-freeness-criterion-1607.02044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proof-of-de-smit-s-conjecture-a-freeness-criterion-1607.02044"/></url>
<url><loc>https://scifaro.com/en/abs/finding-binomials-in-polynomial-ideals-1607.02135</loc><lastmod>2017-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finding-binomials-in-polynomial-ideals-1607.02135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finding-binomials-in-polynomial-ideals-1607.02135"/></url>
<url><loc>https://scifaro.com/en/abs/sets-of-lengths-of-powers-of-a-variable-1607.02236</loc><lastmod>2016-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sets-of-lengths-of-powers-of-a-variable-1607.02236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sets-of-lengths-of-powers-of-a-variable-1607.02236"/></url>
<url><loc>https://scifaro.com/en/abs/polynomials-inducing-the-zero-function-on-local-rings-1607.02482</loc><lastmod>2016-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomials-inducing-the-zero-function-on-local-rings-1607.02482"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomials-inducing-the-zero-function-on-local-rings-1607.02482"/></url>
<url><loc>https://scifaro.com/en/abs/f-singularities-under-generic-linkage-1607.03972</loc><lastmod>2018-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-singularities-under-generic-linkage-1607.03972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-singularities-under-generic-linkage-1607.03972"/></url>
<url><loc>https://scifaro.com/en/abs/difference-index-of-quasi-regular-difference-algebraic-systems-1607.04076</loc><lastmod>2016-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-index-of-quasi-regular-difference-algebraic-systems-1607.04076"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-index-of-quasi-regular-difference-algebraic-systems-1607.04076"/></url>
<url><loc>https://scifaro.com/en/abs/relative-cohen-macaulay-filtered-modules-with-a-view-toward-relative-cohen-macaulay-modules-1607.04529</loc><lastmod>2017-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-cohen-macaulay-filtered-modules-with-a-view-toward-relative-cohen-macaulay-modules-1607.04529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-cohen-macaulay-filtered-modules-with-a-view-toward-relative-cohen-macaulay-modules-1607.04529"/></url>
<url><loc>https://scifaro.com/en/abs/difference-index-of-quasi-prime-difference-algebraic-systems-1607.04732</loc><lastmod>2016-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-index-of-quasi-prime-difference-algebraic-systems-1607.04732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-index-of-quasi-prime-difference-algebraic-systems-1607.04732"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-determinantal-representations-1607.04873</loc><lastmod>2023-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-determinantal-representations-1607.04873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-determinantal-representations-1607.04873"/></url>
<url><loc>https://scifaro.com/en/abs/gabriel-localization-theory-and-its-applications-1607.04877</loc><lastmod>2016-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gabriel-localization-theory-and-its-applications-1607.04877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gabriel-localization-theory-and-its-applications-1607.04877"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-itoh-e-valuation-rings-of-and-ideal-1607.05341</loc><lastmod>2016-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-itoh-e-valuation-rings-of-and-ideal-1607.05341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-itoh-e-valuation-rings-of-and-ideal-1607.05341"/></url>
<url><loc>https://scifaro.com/en/abs/a-partial-characterization-of-hilbert-quasi-polynomials-in-the-non-standard-case-1607.05468</loc><lastmod>2016-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-partial-characterization-of-hilbert-quasi-polynomials-in-the-non-standard-case-1607.05468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-partial-characterization-of-hilbert-quasi-polynomials-in-the-non-standard-case-1607.05468"/></url>
<url><loc>https://scifaro.com/en/abs/formal-local-homology-1607.05552</loc><lastmod>2016-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formal-local-homology-1607.05552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formal-local-homology-1607.05552"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-of-compressed-local-artinian-rings-with-odd-top-socle-degree-1607.05594</loc><lastmod>2017-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-of-compressed-local-artinian-rings-with-odd-top-socle-degree-1607.05594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-of-compressed-local-artinian-rings-with-odd-top-socle-degree-1607.05594"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-rees-algebras-of-p-g-ideals-good-ideals-and-powers-of-the-maximal-ideals-1607.05894</loc><lastmod>2017-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-rees-algebras-of-p-g-ideals-good-ideals-and-powers-of-the-maximal-ideals-1607.05894"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-rees-algebras-of-p-g-ideals-good-ideals-and-powers-of-the-maximal-ideals-1607.05894"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-and-grothendieck-groups-1607.06189</loc><lastmod>2016-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-and-grothendieck-groups-1607.06189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-and-grothendieck-groups-1607.06189"/></url>
<url><loc>https://scifaro.com/en/abs/on-t-reductions-of-ideals-in-pullbacks-1607.06705</loc><lastmod>2016-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-t-reductions-of-ideals-in-pullbacks-1607.06705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-t-reductions-of-ideals-in-pullbacks-1607.06705"/></url>
<url><loc>https://scifaro.com/en/abs/nonincreasing-depth-functions-of-monomial-ideals-1607.07223</loc><lastmod>2016-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nonincreasing-depth-functions-of-monomial-ideals-1607.07223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nonincreasing-depth-functions-of-monomial-ideals-1607.07223"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-quasi-polynomial-for-order-domains-and-application-to-coding-theory-1607.07241</loc><lastmod>2018-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-quasi-polynomial-for-order-domains-and-application-to-coding-theory-1607.07241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-quasi-polynomial-for-order-domains-and-application-to-coding-theory-1607.07241"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-sums-and-their-homological-invariants-1607.07380</loc><lastmod>2018-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-sums-and-their-homological-invariants-1607.07380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-sums-and-their-homological-invariants-1607.07380"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-ideals-and-their-topology-over-a-module-1607.07629</loc><lastmod>2016-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-and-their-topology-over-a-module-1607.07629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-and-their-topology-over-a-module-1607.07629"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-linearly-equivalent-ideal-topologies-over-noetherian-modules-1607.07634</loc><lastmod>2016-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-linearly-equivalent-ideal-topologies-over-noetherian-modules-1607.07634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-linearly-equivalent-ideal-topologies-over-noetherian-modules-1607.07634"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-locally-quasi-unmixed-rings-1607.07641</loc><lastmod>2016-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-locally-quasi-unmixed-rings-1607.07641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-locally-quasi-unmixed-rings-1607.07641"/></url>
<url><loc>https://scifaro.com/en/abs/the-stabilizer-of-elementary-symmetric-polynomials-1607.08419</loc><lastmod>2016-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stabilizer-of-elementary-symmetric-polynomials-1607.08419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stabilizer-of-elementary-symmetric-polynomials-1607.08419"/></url>
<url><loc>https://scifaro.com/en/abs/galois-groups-for-integrable-and-projectively-integrable-linear-difference-equations-1608.00015</loc><lastmod>2017-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-groups-for-integrable-and-projectively-integrable-linear-difference-equations-1608.00015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-groups-for-integrable-and-projectively-integrable-linear-difference-equations-1608.00015"/></url>
<url><loc>https://scifaro.com/en/abs/integer-valued-polynomials-on-commutative-rings-and-modules-1608.00171</loc><lastmod>2016-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integer-valued-polynomials-on-commutative-rings-and-modules-1608.00171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integer-valued-polynomials-on-commutative-rings-and-modules-1608.00171"/></url>
<url><loc>https://scifaro.com/en/abs/commutators-in-the-endomorphism-ring-of-a-complex-1608.01425</loc><lastmod>2016-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutators-in-the-endomorphism-ring-of-a-complex-1608.01425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutators-in-the-endomorphism-ring-of-a-complex-1608.01425"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1608.01722</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1608.01722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-bounded-rank-symmetric-tensors-are-generated-in-bounded-degree-1608.01722"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-harbourne-huneke-bounds-via-flat-extensions-1608.02320</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-harbourne-huneke-bounds-via-flat-extensions-1608.02320"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-harbourne-huneke-bounds-via-flat-extensions-1608.02320"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-and-hilbert-kunz-multipicity-a-combined-approach-and-comparison-1608.02678</loc><lastmod>2018-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-and-hilbert-kunz-multipicity-a-combined-approach-and-comparison-1608.02678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-and-hilbert-kunz-multipicity-a-combined-approach-and-comparison-1608.02678"/></url>
<url><loc>https://scifaro.com/en/abs/veronesean-almost-binomial-almost-complete-intersections-1608.03499</loc><lastmod>2016-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/veronesean-almost-binomial-almost-complete-intersections-1608.03499"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/veronesean-almost-binomial-almost-complete-intersections-1608.03499"/></url>
<url><loc>https://scifaro.com/en/abs/toward-a-theory-of-monomial-preorders-1608.03725</loc><lastmod>2017-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toward-a-theory-of-monomial-preorders-1608.03725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toward-a-theory-of-monomial-preorders-1608.03725"/></url>
<url><loc>https://scifaro.com/en/abs/subresultants-in-multiple-roots-an-extremal-case-1608.03740</loc><lastmod>2017-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subresultants-in-multiple-roots-an-extremal-case-1608.03740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subresultants-in-multiple-roots-an-extremal-case-1608.03740"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-isotropy-group-of-a-simple-derivation-1608.04027</loc><lastmod>2016-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-isotropy-group-of-a-simple-derivation-1608.04027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-isotropy-group-of-a-simple-derivation-1608.04027"/></url>
<url><loc>https://scifaro.com/en/abs/atomicity-and-boundedness-of-monotone-puiseux-monoids-1608.04044</loc><lastmod>2020-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atomicity-and-boundedness-of-monotone-puiseux-monoids-1608.04044"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atomicity-and-boundedness-of-monotone-puiseux-monoids-1608.04044"/></url>
<url><loc>https://scifaro.com/en/abs/towards-boij-s-oderberg-theory-for-grassmannians-the-case-of-square-matrices-1608.04058</loc><lastmod>2018-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towards-boij-s-oderberg-theory-for-grassmannians-the-case-of-square-matrices-1608.04058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towards-boij-s-oderberg-theory-for-grassmannians-the-case-of-square-matrices-1608.04058"/></url>
<url><loc>https://scifaro.com/en/abs/symmetry-in-vanishing-of-tate-cohomology-over-gorenstein-rings-1608.04588</loc><lastmod>2017-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetry-in-vanishing-of-tate-cohomology-over-gorenstein-rings-1608.04588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetry-in-vanishing-of-tate-cohomology-over-gorenstein-rings-1608.04588"/></url>
<url><loc>https://scifaro.com/en/abs/retracts-and-algebraic-properties-of-cut-algebras-1608.04973</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/retracts-and-algebraic-properties-of-cut-algebras-1608.04973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/retracts-and-algebraic-properties-of-cut-algebras-1608.04973"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-of-composed-local-cohomology-modules-1608.05013</loc><lastmod>2016-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-of-composed-local-cohomology-modules-1608.05013"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-of-composed-local-cohomology-modules-1608.05013"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finite-f-representation-type-and-f-signature-of-hypersurfaces-1608.05287</loc><lastmod>2018-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finite-f-representation-type-and-f-signature-of-hypersurfaces-1608.05287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finite-f-representation-type-and-f-signature-of-hypersurfaces-1608.05287"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-asymptotic-linearity-of-reduction-number-1608.05769</loc><lastmod>2017-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-asymptotic-linearity-of-reduction-number-1608.05769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-asymptotic-linearity-of-reduction-number-1608.05769"/></url>
<url><loc>https://scifaro.com/en/abs/on-flat-epimorphisms-of-rings-and-pointwise-localizations-1608.05835</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-flat-epimorphisms-of-rings-and-pointwise-localizations-1608.05835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-flat-epimorphisms-of-rings-and-pointwise-localizations-1608.05835"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-hilbert-series-of-monomial-orbits-1608.06372</loc><lastmod>2016-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-hilbert-series-of-monomial-orbits-1608.06372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-hilbert-series-of-monomial-orbits-1608.06372"/></url>
<url><loc>https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-distances-1608.06407</loc><lastmod>2017-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-distances-1608.06407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-distances-1608.06407"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-stabilization-of-betti-diagrams-of-generic-initial-systems-1608.06670</loc><lastmod>2016-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-stabilization-of-betti-diagrams-of-generic-initial-systems-1608.06670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-stabilization-of-betti-diagrams-of-generic-initial-systems-1608.06670"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-relative-homology-and-depth-of-tensor-products-1608.07011</loc><lastmod>2017-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-relative-homology-and-depth-of-tensor-products-1608.07011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-relative-homology-and-depth-of-tensor-products-1608.07011"/></url>
<url><loc>https://scifaro.com/en/abs/equations-defining-tangent-cones-of-gorenstein-monomial-curves-1608.07100</loc><lastmod>2017-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-defining-tangent-cones-of-gorenstein-monomial-curves-1608.07100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-defining-tangent-cones-of-gorenstein-monomial-curves-1608.07100"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-of-dao-kurano-1608.07116</loc><lastmod>2017-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-of-dao-kurano-1608.07116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-of-dao-kurano-1608.07116"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-ii-1608.07493</loc><lastmod>2017-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-ii-1608.07493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-and-cartier-algebras-of-stanley-reisner-rings-ii-1608.07493"/></url>
<url><loc>https://scifaro.com/en/abs/equimultiplicity-in-hilbert-kunz-theory-1608.07600</loc><lastmod>2023-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equimultiplicity-in-hilbert-kunz-theory-1608.07600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equimultiplicity-in-hilbert-kunz-theory-1608.07600"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-limit-closure-of-a-sequence-of-elements-in-local-rings-1608.08155</loc><lastmod>2022-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-limit-closure-of-a-sequence-of-elements-in-local-rings-1608.08155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-limit-closure-of-a-sequence-of-elements-in-local-rings-1608.08155"/></url>
<url><loc>https://scifaro.com/en/abs/big-cohen-macaulay-and-seed-algebras-in-equal-characteristic-zero-via-ultraproducts-1608.08193</loc><lastmod>2017-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-cohen-macaulay-and-seed-algebras-in-equal-characteristic-zero-via-ultraproducts-1608.08193"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-cohen-macaulay-and-seed-algebras-in-equal-characteristic-zero-via-ultraproducts-1608.08193"/></url>
<url><loc>https://scifaro.com/en/abs/globalizing-f-invariants-1608.08580</loc><lastmod>2016-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/globalizing-f-invariants-1608.08580"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/globalizing-f-invariants-1608.08580"/></url>
<url><loc>https://scifaro.com/en/abs/generalizing-serre-s-splitting-theorem-and-bass-s-cancellation-theorem-via-free-basic-elements-1608.08591</loc><lastmod>2016-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizing-serre-s-splitting-theorem-and-bass-s-cancellation-theorem-via-free-basic-elements-1608.08591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizing-serre-s-splitting-theorem-and-bass-s-cancellation-theorem-via-free-basic-elements-1608.08591"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-generated-by-squares-cubes-and-quartics-of-three-consecutive-integers-1608.08693</loc><lastmod>2016-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-generated-by-squares-cubes-and-quartics-of-three-consecutive-integers-1608.08693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-generated-by-squares-cubes-and-quartics-of-three-consecutive-integers-1608.08693"/></url>
<url><loc>https://scifaro.com/en/abs/universal-groebner-bases-and-cartwright-sturmfels-ideals-1608.08942</loc><lastmod>2016-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universal-groebner-bases-and-cartwright-sturmfels-ideals-1608.08942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universal-groebner-bases-and-cartwright-sturmfels-ideals-1608.08942"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-generic-initial-ideals-of-determinantal-ideals-1608.08944</loc><lastmod>2016-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-generic-initial-ideals-of-determinantal-ideals-1608.08944"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-generic-initial-ideals-of-determinantal-ideals-1608.08944"/></url>
<url><loc>https://scifaro.com/en/abs/lech-s-conjecture-in-dimension-three-1609.00095</loc><lastmod>2018-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lech-s-conjecture-in-dimension-three-1609.00095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lech-s-conjecture-in-dimension-three-1609.00095"/></url>
<url><loc>https://scifaro.com/en/abs/free-and-non-free-multiplicities-on-the-a-3-arrangement-1609.00337</loc><lastmod>2016-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-and-non-free-multiplicities-on-the-a-3-arrangement-1609.00337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-and-non-free-multiplicities-on-the-a-3-arrangement-1609.00337"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relations-of-isotonian-algebras-1609.00595</loc><lastmod>2016-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relations-of-isotonian-algebras-1609.00595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relations-of-isotonian-algebras-1609.00595"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-lexsegment-complexes-in-arbitrary-codimension-1609.00830</loc><lastmod>2016-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-lexsegment-complexes-in-arbitrary-codimension-1609.00830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-lexsegment-complexes-in-arbitrary-codimension-1609.00830"/></url>
<url><loc>https://scifaro.com/en/abs/the-second-discriminant-of-a-univariate-polynomial-1609.00840</loc><lastmod>2019-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-second-discriminant-of-a-univariate-polynomial-1609.00840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-second-discriminant-of-a-univariate-polynomial-1609.00840"/></url>
<url><loc>https://scifaro.com/en/abs/a-gkm-description-of-the-equivariant-coinvariant-ring-of-a-pseudo-reflection-group-1609.00849</loc><lastmod>2016-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gkm-description-of-the-equivariant-coinvariant-ring-of-a-pseudo-reflection-group-1609.00849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gkm-description-of-the-equivariant-coinvariant-ring-of-a-pseudo-reflection-group-1609.00849"/></url>
<url><loc>https://scifaro.com/en/abs/new-methods-toward-the-patch-and-flat-topologies-with-applications-1609.00947</loc><lastmod>2019-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-methods-toward-the-patch-and-flat-topologies-with-applications-1609.00947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-methods-toward-the-patch-and-flat-topologies-with-applications-1609.00947"/></url>
<url><loc>https://scifaro.com/en/abs/the-non-lefschetz-locus-1609.00952</loc><lastmod>2016-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-non-lefschetz-locus-1609.00952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-non-lefschetz-locus-1609.00952"/></url>
<url><loc>https://scifaro.com/en/abs/the-large-sum-graph-related-to-comultiplication-modules-1609.00955</loc><lastmod>2019-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-large-sum-graph-related-to-comultiplication-modules-1609.00955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-large-sum-graph-related-to-comultiplication-modules-1609.00955"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-bipartite-graphs-1609.01402</loc><lastmod>2016-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-bipartite-graphs-1609.01402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-bipartite-graphs-1609.01402"/></url>
<url><loc>https://scifaro.com/en/abs/d-module-and-f-module-length-of-local-cohomology-modules-1609.01643</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-module-and-f-module-length-of-local-cohomology-modules-1609.01643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-module-and-f-module-length-of-local-cohomology-modules-1609.01643"/></url>
<url><loc>https://scifaro.com/en/abs/generic-free-resolutions-and-root-systems-1609.02083</loc><lastmod>2016-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-free-resolutions-and-root-systems-1609.02083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-free-resolutions-and-root-systems-1609.02083"/></url>
<url><loc>https://scifaro.com/en/abs/linear-orbits-of-alternating-forms-on-real-vector-spaces-1609.02184</loc><lastmod>2017-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-orbits-of-alternating-forms-on-real-vector-spaces-1609.02184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-orbits-of-alternating-forms-on-real-vector-spaces-1609.02184"/></url>
<url><loc>https://scifaro.com/en/abs/zero-annihilator-graphs-of-commutative-rings-1609.02537</loc><lastmod>2016-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-annihilator-graphs-of-commutative-rings-1609.02537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-annihilator-graphs-of-commutative-rings-1609.02537"/></url>
<url><loc>https://scifaro.com/en/abs/closed-subgroups-of-the-polynomial-automorphism-group-containing-the-affine-subgroup-1609.02670</loc><lastmod>2016-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closed-subgroups-of-the-polynomial-automorphism-group-containing-the-affine-subgroup-1609.02670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closed-subgroups-of-the-polynomial-automorphism-group-containing-the-affine-subgroup-1609.02670"/></url>
<url><loc>https://scifaro.com/en/abs/on-delta-sets-and-their-realizable-subsets-in-krull-monoids-with-cyclic-class-groups-1609.02737</loc><lastmod>2016-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-delta-sets-and-their-realizable-subsets-in-krull-monoids-with-cyclic-class-groups-1609.02737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-delta-sets-and-their-realizable-subsets-in-krull-monoids-with-cyclic-class-groups-1609.02737"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-the-form-i-1-xy-1609.02765</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-the-form-i-1-xy-1609.02765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-the-form-i-1-xy-1609.02765"/></url>
<url><loc>https://scifaro.com/en/abs/when-almost-cohen-macaulay-algebras-map-into-big-cohen-macaulay-modules-1609.03133</loc><lastmod>2018-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-almost-cohen-macaulay-algebras-map-into-big-cohen-macaulay-modules-1609.03133"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-almost-cohen-macaulay-algebras-map-into-big-cohen-macaulay-modules-1609.03133"/></url>
<url><loc>https://scifaro.com/en/abs/on-epicomplete-mv-algebras-1609.03272</loc><lastmod>2016-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-epicomplete-mv-algebras-1609.03272"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-epicomplete-mv-algebras-1609.03272"/></url>
<url><loc>https://scifaro.com/en/abs/toric-quiver-cells-1609.03618</loc><lastmod>2017-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-quiver-cells-1609.03618"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-quiver-cells-1609.03618"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-of-binomial-ideals-1609.03710</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-of-binomial-ideals-1609.03710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-of-binomial-ideals-1609.03710"/></url>
<url><loc>https://scifaro.com/en/abs/new-strategies-for-standard-bases-over-z-1609.04257</loc><lastmod>2016-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-strategies-for-standard-bases-over-z-1609.04257"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-strategies-for-standard-bases-over-z-1609.04257"/></url>
<url><loc>https://scifaro.com/en/abs/huneke-s-degree-computing-problem-1609.04323</loc><lastmod>2017-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/huneke-s-degree-computing-problem-1609.04323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/huneke-s-degree-computing-problem-1609.04323"/></url>
<url><loc>https://scifaro.com/en/abs/green-s-theorem-and-gorenstein-sequences-1609.04650</loc><lastmod>2016-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/green-s-theorem-and-gorenstein-sequences-1609.04650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/green-s-theorem-and-gorenstein-sequences-1609.04650"/></url>
<url><loc>https://scifaro.com/en/abs/finite-lattices-and-koszul-filtrations-1609.05289</loc><lastmod>2017-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-lattices-and-koszul-filtrations-1609.05289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-lattices-and-koszul-filtrations-1609.05289"/></url>
<url><loc>https://scifaro.com/en/abs/counter-examples-to-non-noetherian-elkik-s-approximation-theorem-1609.05295</loc><lastmod>2018-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counter-examples-to-non-noetherian-elkik-s-approximation-theorem-1609.05295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counter-examples-to-non-noetherian-elkik-s-approximation-theorem-1609.05295"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-of-associated-primes-of-local-cohomology-modules-over-stanley-reisner-rings-1609.05366</loc><lastmod>2017-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-of-associated-primes-of-local-cohomology-modules-over-stanley-reisner-rings-1609.05366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-of-associated-primes-of-local-cohomology-modules-over-stanley-reisner-rings-1609.05366"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-lyubeznik-numbers-and-connectedness-properties-in-mixed-characteristic-1609.05846</loc><lastmod>2016-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-lyubeznik-numbers-and-connectedness-properties-in-mixed-characteristic-1609.05846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-lyubeznik-numbers-and-connectedness-properties-in-mixed-characteristic-1609.05846"/></url>
<url><loc>https://scifaro.com/en/abs/cotangent-cohomology-of-quadratic-monomial-ideals-1609.06274</loc><lastmod>2016-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cotangent-cohomology-of-quadratic-monomial-ideals-1609.06274"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cotangent-cohomology-of-quadratic-monomial-ideals-1609.06274"/></url>
<url><loc>https://scifaro.com/en/abs/on-top-dimensional-lyubeznik-numbers-in-mixed-characteristic-1609.06372</loc><lastmod>2017-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-top-dimensional-lyubeznik-numbers-in-mixed-characteristic-1609.06372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-top-dimensional-lyubeznik-numbers-in-mixed-characteristic-1609.06372"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ideal-generated-by-all-squarefree-monomials-of-a-given-degree-1609.06396</loc><lastmod>2020-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ideal-generated-by-all-squarefree-monomials-of-a-given-degree-1609.06396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ideal-generated-by-all-squarefree-monomials-of-a-given-degree-1609.06396"/></url>
<url><loc>https://scifaro.com/en/abs/the-hilbert-function-of-bigraded-algebras-in-k-mathbb-p-1-times-mathbb-p-1-1609.06950</loc><lastmod>2017-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hilbert-function-of-bigraded-algebras-in-k-mathbb-p-1-times-mathbb-p-1-1609.06950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hilbert-function-of-bigraded-algebras-in-k-mathbb-p-1-times-mathbb-p-1-1609.06950"/></url>
<url><loc>https://scifaro.com/en/abs/content-of-local-cohomology-parameter-ideals-and-robust-algebras-1609.07017</loc><lastmod>2016-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/content-of-local-cohomology-parameter-ideals-and-robust-algebras-1609.07017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/content-of-local-cohomology-parameter-ideals-and-robust-algebras-1609.07017"/></url>
<url><loc>https://scifaro.com/en/abs/hyperbolicity-and-near-hyperbolicity-of-quadratic-forms-over-function-fields-of-quadrics-1609.07100</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hyperbolicity-and-near-hyperbolicity-of-quadratic-forms-over-function-fields-of-quadrics-1609.07100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hyperbolicity-and-near-hyperbolicity-of-quadratic-forms-over-function-fields-of-quadrics-1609.07100"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-resolution-of-a-cointerval-edge-ideal-is-multiplicative-1609.07356</loc><lastmod>2016-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-resolution-of-a-cointerval-edge-ideal-is-multiplicative-1609.07356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-resolution-of-a-cointerval-edge-ideal-is-multiplicative-1609.07356"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-coefficients-of-parameter-ideals-and-cohen-macaulayness-1609.07746</loc><lastmod>2016-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-coefficients-of-parameter-ideals-and-cohen-macaulayness-1609.07746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-coefficients-of-parameter-ideals-and-cohen-macaulayness-1609.07746"/></url>
<url><loc>https://scifaro.com/en/abs/some-generalizations-of-second-submodules-1609.08054</loc><lastmod>2016-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-generalizations-of-second-submodules-1609.08054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-generalizations-of-second-submodules-1609.08054"/></url>
<url><loc>https://scifaro.com/en/abs/semifields-and-a-theorem-of-abhyankar-1609.08420</loc><lastmod>2017-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semifields-and-a-theorem-of-abhyankar-1609.08420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semifields-and-a-theorem-of-abhyankar-1609.08420"/></url>
<url><loc>https://scifaro.com/en/abs/difference-dimension-quasi-polynomials-1609.08544</loc><lastmod>2016-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-dimension-quasi-polynomials-1609.08544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-dimension-quasi-polynomials-1609.08544"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-laskerian-rings-versus-noetherian-rings-1609.09034</loc><lastmod>2016-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-laskerian-rings-versus-noetherian-rings-1609.09034"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-laskerian-rings-versus-noetherian-rings-1609.09034"/></url>
<url><loc>https://scifaro.com/en/abs/perinormal-rings-with-zero-divisors-1609.09216</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perinormal-rings-with-zero-divisors-1609.09216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perinormal-rings-with-zero-divisors-1609.09216"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-adic-completion-of-quasi-excellent-rings-after-gabber-1609.09246</loc><lastmod>2023-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-adic-completion-of-quasi-excellent-rings-after-gabber-1609.09246"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-adic-completion-of-quasi-excellent-rings-after-gabber-1609.09246"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-square-free-factorizations-1609.09464</loc><lastmod>2016-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-square-free-factorizations-1609.09464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-square-free-factorizations-1609.09464"/></url>
<url><loc>https://scifaro.com/en/abs/r-esolution-des-syst-emes-polynomiaux-un-solveur-bas-e-sur-les-matrices-de-bezout-1609.09792</loc><lastmod>2016-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/r-esolution-des-syst-emes-polynomiaux-un-solveur-bas-e-sur-les-matrices-de-bezout-1609.09792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/r-esolution-des-syst-emes-polynomiaux-un-solveur-bas-e-sur-les-matrices-de-bezout-1609.09792"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-a-graded-ideal-with-linear-quotients-1610.00055</loc><lastmod>2016-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-a-graded-ideal-with-linear-quotients-1610.00055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-a-graded-ideal-with-linear-quotients-1610.00055"/></url>
<url><loc>https://scifaro.com/en/abs/the-symbolic-defect-of-an-ideal-1610.00176</loc><lastmod>2018-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symbolic-defect-of-an-ideal-1610.00176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symbolic-defect-of-an-ideal-1610.00176"/></url>
<url><loc>https://scifaro.com/en/abs/non-koszul-quadratic-gorenstein-toric-rings-1610.00260</loc><lastmod>2016-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-koszul-quadratic-gorenstein-toric-rings-1610.00260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-koszul-quadratic-gorenstein-toric-rings-1610.00260"/></url>
<url><loc>https://scifaro.com/en/abs/classical-and-strongly-classical-2-absorbing-second-submodules-1610.00299</loc><lastmod>2019-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classical-and-strongly-classical-2-absorbing-second-submodules-1610.00299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classical-and-strongly-classical-2-absorbing-second-submodules-1610.00299"/></url>
<url><loc>https://scifaro.com/en/abs/linearity-defect-of-the-residue-field-of-short-local-rings-1610.00525</loc><lastmod>2016-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-defect-of-the-residue-field-of-short-local-rings-1610.00525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-defect-of-the-residue-field-of-short-local-rings-1610.00525"/></url>
<url><loc>https://scifaro.com/en/abs/2-absorbing-and-strongly-2-absorbing-secondary-submodules-of-modules-1610.00565</loc><lastmod>2016-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-absorbing-and-strongly-2-absorbing-secondary-submodules-of-modules-1610.00565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-absorbing-and-strongly-2-absorbing-secondary-submodules-of-modules-1610.00565"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-a-characterization-theorem-for-a-certain-class-of-domains-1610.00702</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-a-characterization-theorem-for-a-certain-class-of-domains-1610.00702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-a-characterization-theorem-for-a-certain-class-of-domains-1610.00702"/></url>
<url><loc>https://scifaro.com/en/abs/functorial-relationship-between-multirings-and-the-various-abstract-theories-of-quadratic-forms-1610.00816</loc><lastmod>2020-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/functorial-relationship-between-multirings-and-the-various-abstract-theories-of-quadratic-forms-1610.00816"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/functorial-relationship-between-multirings-and-the-various-abstract-theories-of-quadratic-forms-1610.00816"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-and-normality-of-certain-determinantal-ideals-1610.00926</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-and-normality-of-certain-determinantal-ideals-1610.00926"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-and-normality-of-certain-determinantal-ideals-1610.00926"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-factorization-and-the-cohen-gabber-theorem-1610.01264</loc><lastmod>2017-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-factorization-and-the-cohen-gabber-theorem-1610.01264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-factorization-and-the-cohen-gabber-theorem-1610.01264"/></url>
<url><loc>https://scifaro.com/en/abs/jaffard-families-and-localizations-of-star-operations-1610.01442</loc><lastmod>2016-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jaffard-families-and-localizations-of-star-operations-1610.01442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jaffard-families-and-localizations-of-star-operations-1610.01442"/></url>
<url><loc>https://scifaro.com/en/abs/ideas-about-the-jacobian-conjecture-1610.01621</loc><lastmod>2016-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideas-about-the-jacobian-conjecture-1610.01621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideas-about-the-jacobian-conjecture-1610.01621"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-gr-obner-bases-1610.02075</loc><lastmod>2017-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-gr-obner-bases-1610.02075"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-gr-obner-bases-1610.02075"/></url>
<url><loc>https://scifaro.com/en/abs/a-remark-on-regularity-of-powers-and-products-of-ideals-1610.02215</loc><lastmod>2017-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-remark-on-regularity-of-powers-and-products-of-ideals-1610.02215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-remark-on-regularity-of-powers-and-products-of-ideals-1610.02215"/></url>
<url><loc>https://scifaro.com/en/abs/lcm-duals-of-monomial-ideals-1610.02278</loc><lastmod>2016-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lcm-duals-of-monomial-ideals-1610.02278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lcm-duals-of-monomial-ideals-1610.02278"/></url>
<url><loc>https://scifaro.com/en/abs/the-jacobian-ideal-of-a-commutative-ring-and-annihilators-of-cohomology-1610.02599</loc><lastmod>2018-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-commutative-ring-and-annihilators-of-cohomology-1610.02599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-jacobian-ideal-of-a-commutative-ring-and-annihilators-of-cohomology-1610.02599"/></url>
<url><loc>https://scifaro.com/en/abs/higher-iterated-hilbert-coefficients-of-the-graded-components-of-bigraded-modules-1610.02655</loc><lastmod>2016-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-iterated-hilbert-coefficients-of-the-graded-components-of-bigraded-modules-1610.02655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-iterated-hilbert-coefficients-of-the-graded-components-of-bigraded-modules-1610.02655"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-the-path-ideal-of-the-line-graph-1610.02958</loc><lastmod>2016-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-the-path-ideal-of-the-line-graph-1610.02958"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-the-path-ideal-of-the-line-graph-1610.02958"/></url>
<url><loc>https://scifaro.com/en/abs/non-level-semi-standard-graded-cohen-macaulay-domain-with-h-vector-h-0-h-1-h-2-1610.03157</loc><lastmod>2016-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-level-semi-standard-graded-cohen-macaulay-domain-with-h-vector-h-0-h-1-h-2-1610.03157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-level-semi-standard-graded-cohen-macaulay-domain-with-h-vector-h-0-h-1-h-2-1610.03157"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-path-ideals-of-cycles-1610.03306</loc><lastmod>2016-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-path-ideals-of-cycles-1610.03306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-path-ideals-of-cycles-1610.03306"/></url>
<url><loc>https://scifaro.com/en/abs/flat-sml-modules-and-reflexive-functors-1610.03395</loc><lastmod>2017-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-sml-modules-and-reflexive-functors-1610.03395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-sml-modules-and-reflexive-functors-1610.03395"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-of-certain-monomial-curves-in-an-affine-space-1610.03658</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-of-certain-monomial-curves-in-an-affine-space-1610.03658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-of-certain-monomial-curves-in-an-affine-space-1610.03658"/></url>
<url><loc>https://scifaro.com/en/abs/representations-of-elementary-abelian-p-groups-and-finite-subgroups-of-fields-1610.03709</loc><lastmod>2018-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/representations-of-elementary-abelian-p-groups-and-finite-subgroups-of-fields-1610.03709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/representations-of-elementary-abelian-p-groups-and-finite-subgroups-of-fields-1610.03709"/></url>
<url><loc>https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-in-the-presence-of-a-generic-set-of-basepoints-1610.03820</loc><lastmod>2016-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-in-the-presence-of-a-generic-set-of-basepoints-1610.03820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-in-the-presence-of-a-generic-set-of-basepoints-1610.03820"/></url>
<url><loc>https://scifaro.com/en/abs/blowup-algebras-of-rational-normal-scrolls-1610.03931</loc><lastmod>2021-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowup-algebras-of-rational-normal-scrolls-1610.03931"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowup-algebras-of-rational-normal-scrolls-1610.03931"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-elimination-of-unknowns-in-systems-of-differential-algebraic-equations-1610.04022</loc><lastmod>2020-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-elimination-of-unknowns-in-systems-of-differential-algebraic-equations-1610.04022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-elimination-of-unknowns-in-systems-of-differential-algebraic-equations-1610.04022"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-ideals-and-jet-schemes-1610.04353</loc><lastmod>2018-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-ideals-and-jet-schemes-1610.04353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-ideals-and-jet-schemes-1610.04353"/></url>
<url><loc>https://scifaro.com/en/abs/sp-rings-with-zero-divisors-1610.04713</loc><lastmod>2017-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sp-rings-with-zero-divisors-1610.04713"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sp-rings-with-zero-divisors-1610.04713"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-auslander-and-reiten-1610.04784</loc><lastmod>2016-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-auslander-and-reiten-1610.04784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-auslander-and-reiten-1610.04784"/></url>
<url><loc>https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-ii-1610.04845</loc><lastmod>2017-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-ii-1610.04845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizations-of-graded-pr-ufer-star-multiplication-domains-ii-1610.04845"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-44-1610.05033</loc><lastmod>2022-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-44-1610.05033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-44-1610.05033"/></url>
<url><loc>https://scifaro.com/en/abs/an-ideal-based-cozero-divisor-graph-of-a-commutative-ring-1610.05042</loc><lastmod>2016-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-ideal-based-cozero-divisor-graph-of-a-commutative-ring-1610.05042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-ideal-based-cozero-divisor-graph-of-a-commutative-ring-1610.05042"/></url>
<url><loc>https://scifaro.com/en/abs/the-software-package-spectralsequences-1610.05338</loc><lastmod>2016-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-software-package-spectralsequences-1610.05338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-software-package-spectralsequences-1610.05338"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-subatomic-domains-1610.05874</loc><lastmod>2016-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-subatomic-domains-1610.05874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-subatomic-domains-1610.05874"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-dga-resolutions-of-monomial-ideals-1610.06526</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-dga-resolutions-of-monomial-ideals-1610.06526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-dga-resolutions-of-monomial-ideals-1610.06526"/></url>
<url><loc>https://scifaro.com/en/abs/degrees-of-regular-sequences-with-a-symmetric-group-action-1610.06610</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degrees-of-regular-sequences-with-a-symmetric-group-action-1610.06610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degrees-of-regular-sequences-with-a-symmetric-group-action-1610.06610"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-good-filtrations-1610.06976</loc><lastmod>2018-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-good-filtrations-1610.06976"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-good-filtrations-1610.06976"/></url>
<url><loc>https://scifaro.com/en/abs/finite-basis-for-radical-well-mixed-difference-ideals-generated-by-binomials-1610.06990</loc><lastmod>2016-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-basis-for-radical-well-mixed-difference-ideals-generated-by-binomials-1610.06990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-basis-for-radical-well-mixed-difference-ideals-generated-by-binomials-1610.06990"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-robust-toric-ideals-in-codimension-2-1610.07476</loc><lastmod>2017-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-robust-toric-ideals-in-codimension-2-1610.07476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-robust-toric-ideals-in-codimension-2-1610.07476"/></url>
<url><loc>https://scifaro.com/en/abs/the-homotopy-obstructions-in-complete-intersections-1610.07495</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-homotopy-obstructions-in-complete-intersections-1610.07495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-homotopy-obstructions-in-complete-intersections-1610.07495"/></url>
<url><loc>https://scifaro.com/en/abs/degenerations-of-the-generic-square-matrix-polar-map-and-determinantal-structure-1610.07681</loc><lastmod>2017-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degenerations-of-the-generic-square-matrix-polar-map-and-determinantal-structure-1610.07681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degenerations-of-the-generic-square-matrix-polar-map-and-determinantal-structure-1610.07681"/></url>
<url><loc>https://scifaro.com/en/abs/a-local-duality-principle-in-derived-categories-of-commutative-noetherian-rings-1610.07715</loc><lastmod>2017-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-duality-principle-in-derived-categories-of-commutative-noetherian-rings-1610.07715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-duality-principle-in-derived-categories-of-commutative-noetherian-rings-1610.07715"/></url>
<url><loc>https://scifaro.com/en/abs/increasing-positive-monoids-of-ordered-fields-are-ff-monoids-1610.08781</loc><lastmod>2020-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/increasing-positive-monoids-of-ordered-fields-are-ff-monoids-1610.08781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/increasing-positive-monoids-of-ordered-fields-are-ff-monoids-1610.08781"/></url>
<url><loc>https://scifaro.com/en/abs/small-subalgebras-of-polynomial-rings-and-stillman-s-conjecture-1610.09268</loc><lastmod>2019-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/small-subalgebras-of-polynomial-rings-and-stillman-s-conjecture-1610.09268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/small-subalgebras-of-polynomial-rings-and-stillman-s-conjecture-1610.09268"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-prufer-extensions-of-rings-1610.10023</loc><lastmod>2016-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-prufer-extensions-of-rings-1610.10023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-prufer-extensions-of-rings-1610.10023"/></url>
<url><loc>https://scifaro.com/en/abs/the-radical-of-an-n-absorbing-ideal-1610.10077</loc><lastmod>2016-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-radical-of-an-n-absorbing-ideal-1610.10077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-radical-of-an-n-absorbing-ideal-1610.10077"/></url>
<url><loc>https://scifaro.com/en/abs/transcendental-extensions-of-a-valuation-domain-of-rank-one-1611.00177</loc><lastmod>2021-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transcendental-extensions-of-a-valuation-domain-of-rank-one-1611.00177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transcendental-extensions-of-a-valuation-domain-of-rank-one-1611.00177"/></url>
<url><loc>https://scifaro.com/en/abs/wronskians-and-linear-dependence-of-formal-power-series-1611.00248</loc><lastmod>2016-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wronskians-and-linear-dependence-of-formal-power-series-1611.00248"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wronskians-and-linear-dependence-of-formal-power-series-1611.00248"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-cohomology-of-determinantal-thickenings-1611.00415</loc><lastmod>2019-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-cohomology-of-determinantal-thickenings-1611.00415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-cohomology-of-determinantal-thickenings-1611.00415"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-implicit-function-theorem-for-all-fields-1611.01415</loc><lastmod>2016-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-implicit-function-theorem-for-all-fields-1611.01415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-implicit-function-theorem-for-all-fields-1611.01415"/></url>
<url><loc>https://scifaro.com/en/abs/functorial-characterization-of-mittag-leffler-modules-1611.01465</loc><lastmod>2017-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/functorial-characterization-of-mittag-leffler-modules-1611.01465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/functorial-characterization-of-mittag-leffler-modules-1611.01465"/></url>
<url><loc>https://scifaro.com/en/abs/local-picard-group-of-binoids-and-their-algebras-1611.01788</loc><lastmod>2016-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-picard-group-of-binoids-and-their-algebras-1611.01788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-picard-group-of-binoids-and-their-algebras-1611.01788"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-numerical-range-of-square-matrices-with-coefficients-in-a-degree-2-galois-field-extension-1611.01915</loc><lastmod>2017-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-numerical-range-of-square-matrices-with-coefficients-in-a-degree-2-galois-field-extension-1611.01915"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-numerical-range-of-square-matrices-with-coefficients-in-a-degree-2-galois-field-extension-1611.01915"/></url>
<url><loc>https://scifaro.com/en/abs/a-chain-rule-formula-for-higher-derivations-and-inverses-of-polynomial-maps-1611.01940</loc><lastmod>2020-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-chain-rule-formula-for-higher-derivations-and-inverses-of-polynomial-maps-1611.01940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-chain-rule-formula-for-higher-derivations-and-inverses-of-polynomial-maps-1611.01940"/></url>
<url><loc>https://scifaro.com/en/abs/serre-dimension-of-monoid-algebras-1611.02466</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/serre-dimension-of-monoid-algebras-1611.02466"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/serre-dimension-of-monoid-algebras-1611.02466"/></url>
<url><loc>https://scifaro.com/en/abs/efficient-generation-of-ideals-in-a-discrete-hodge-algebra-1611.02468</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficient-generation-of-ideals-in-a-discrete-hodge-algebra-1611.02468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficient-generation-of-ideals-in-a-discrete-hodge-algebra-1611.02468"/></url>
<url><loc>https://scifaro.com/en/abs/unimodular-elements-in-projective-modules-and-an-analogue-of-a-result-of-mandal-1611.02469</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unimodular-elements-in-projective-modules-and-an-analogue-of-a-result-of-mandal-1611.02469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unimodular-elements-in-projective-modules-and-an-analogue-of-a-result-of-mandal-1611.02469"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-unimodular-elements-in-a-projective-module-1611.02471</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-unimodular-elements-in-a-projective-module-1611.02471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-unimodular-elements-in-a-projective-module-1611.02471"/></url>
<url><loc>https://scifaro.com/en/abs/the-resultants-of-quadratic-binomial-complete-intersections-1611.02801</loc><lastmod>2016-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-resultants-of-quadratic-binomial-complete-intersections-1611.02801"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-resultants-of-quadratic-binomial-complete-intersections-1611.02801"/></url>
<url><loc>https://scifaro.com/en/abs/thick-tensor-ideals-of-right-bounded-derived-categories-1611.02826</loc><lastmod>2018-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/thick-tensor-ideals-of-right-bounded-derived-categories-1611.02826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/thick-tensor-ideals-of-right-bounded-derived-categories-1611.02826"/></url>
<url><loc>https://scifaro.com/en/abs/alg-ebre-commutative-m-ethodes-constructives-1611.02942</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alg-ebre-commutative-m-ethodes-constructives-1611.02942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alg-ebre-commutative-m-ethodes-constructives-1611.02942"/></url>
<url><loc>https://scifaro.com/en/abs/some-criteria-for-regular-and-gorenstein-local-rings-via-syzygy-modules-1611.03263</loc><lastmod>2019-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-criteria-for-regular-and-gorenstein-local-rings-via-syzygy-modules-1611.03263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-criteria-for-regular-and-gorenstein-local-rings-via-syzygy-modules-1611.03263"/></url>
<url><loc>https://scifaro.com/en/abs/rigidity-of-ext-and-tor-with-coefficients-in-residue-fields-of-a-commutative-noetherian-ring-1611.03280</loc><lastmod>2017-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigidity-of-ext-and-tor-with-coefficients-in-residue-fields-of-a-commutative-noetherian-ring-1611.03280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigidity-of-ext-and-tor-with-coefficients-in-residue-fields-of-a-commutative-noetherian-ring-1611.03280"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-hilbert-coefficients-of-parameter-ideals-1611.03431</loc><lastmod>2017-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-hilbert-coefficients-of-parameter-ideals-1611.03431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-hilbert-coefficients-of-parameter-ideals-1611.03431"/></url>
<url><loc>https://scifaro.com/en/abs/ring-of-real-analytic-functions-on-0-1-1611.03667</loc><lastmod>2016-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-of-real-analytic-functions-on-0-1-1611.03667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-of-real-analytic-functions-on-0-1-1611.03667"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-of-the-nil-graphs-of-ideals-of-commutative-rings-1611.03730</loc><lastmod>2016-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-of-the-nil-graphs-of-ideals-of-commutative-rings-1611.03730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-of-the-nil-graphs-of-ideals-of-commutative-rings-1611.03730"/></url>
<url><loc>https://scifaro.com/en/abs/detecting-koszulness-and-related-homological-properties-from-the-algebra-structure-of-koszul-homology-1611.04001</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/detecting-koszulness-and-related-homological-properties-from-the-algebra-structure-of-koszul-homology-1611.04001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/detecting-koszulness-and-related-homological-properties-from-the-algebra-structure-of-koszul-homology-1611.04001"/></url>
<url><loc>https://scifaro.com/en/abs/descent-of-flatness-and-the-direct-summand-conjecture-1611.04097</loc><lastmod>2016-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/descent-of-flatness-and-the-direct-summand-conjecture-1611.04097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/descent-of-flatness-and-the-direct-summand-conjecture-1611.04097"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-class-of-half-factorial-domains-1611.04173</loc><lastmod>2016-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-class-of-half-factorial-domains-1611.04173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-class-of-half-factorial-domains-1611.04173"/></url>
<url><loc>https://scifaro.com/en/abs/d-modules-bernstein-sato-polynomials-and-f-invariants-of-direct-summands-1611.04412</loc><lastmod>2016-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-modules-bernstein-sato-polynomials-and-f-invariants-of-direct-summands-1611.04412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-modules-bernstein-sato-polynomials-and-f-invariants-of-direct-summands-1611.04412"/></url>
<url><loc>https://scifaro.com/en/abs/giesbrecht-s-algorithm-the-hfe-cryptosystem-and-ore-s-p-s-polynomials-1611.04479</loc><lastmod>2016-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/giesbrecht-s-algorithm-the-hfe-cryptosystem-and-ore-s-p-s-polynomials-1611.04479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/giesbrecht-s-algorithm-the-hfe-cryptosystem-and-ore-s-p-s-polynomials-1611.04479"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-strong-lefschetz-question-for-uniform-powers-of-general-linear-forms-in-k-x-y-z-1611.04544</loc><lastmod>2016-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-strong-lefschetz-question-for-uniform-powers-of-general-linear-forms-in-k-x-y-z-1611.04544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-strong-lefschetz-question-for-uniform-powers-of-general-linear-forms-in-k-x-y-z-1611.04544"/></url>
<url><loc>https://scifaro.com/en/abs/transversal-intersection-and-sum-of-polynomial-ideals-1611.04732</loc><lastmod>2018-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transversal-intersection-and-sum-of-polynomial-ideals-1611.04732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transversal-intersection-and-sum-of-polynomial-ideals-1611.04732"/></url>
<url><loc>https://scifaro.com/en/abs/on-s-coherence-1611.05067</loc><lastmod>2016-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-s-coherence-1611.05067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-s-coherence-1611.05067"/></url>
<url><loc>https://scifaro.com/en/abs/key-polynomials-and-pseudo-convergent-sequences-1611.05679</loc><lastmod>2016-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/key-polynomials-and-pseudo-convergent-sequences-1611.05679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/key-polynomials-and-pseudo-convergent-sequences-1611.05679"/></url>
<url><loc>https://scifaro.com/en/abs/chains-of-semidualizing-modules-1611.05790</loc><lastmod>2016-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chains-of-semidualizing-modules-1611.05790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chains-of-semidualizing-modules-1611.05790"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-convexity-of-numerical-range-over-certain-fields-1611.06082</loc><lastmod>2016-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-convexity-of-numerical-range-over-certain-fields-1611.06082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-convexity-of-numerical-range-over-certain-fields-1611.06082"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-split-subvarieties-pull-back-in-almost-all-characteristics-1611.06290</loc><lastmod>2016-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-split-subvarieties-pull-back-in-almost-all-characteristics-1611.06290"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-split-subvarieties-pull-back-in-almost-all-characteristics-1611.06290"/></url>
<url><loc>https://scifaro.com/en/abs/abstract-key-polynomials-and-comparison-theorems-with-the-key-polynomials-of-mac-lane-vaquie-1611.06392</loc><lastmod>2016-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-comparison-theorems-with-the-key-polynomials-of-mac-lane-vaquie-1611.06392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-comparison-theorems-with-the-key-polynomials-of-mac-lane-vaquie-1611.06392"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rigidity-of-symbolic-powers-1611.06528</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rigidity-of-symbolic-powers-1611.06528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rigidity-of-symbolic-powers-1611.06528"/></url>
<url><loc>https://scifaro.com/en/abs/groebner-bases-for-everyone-with-cocoa-5-and-cocoalib-1611.07306</loc><lastmod>2017-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/groebner-bases-for-everyone-with-cocoa-5-and-cocoalib-1611.07306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/groebner-bases-for-everyone-with-cocoa-5-and-cocoalib-1611.07306"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-diameter-of-dual-graphs-of-stanley-reisner-rings-with-serre-s-2-property-and-hirsch-type-bounds-on-abstractions-of-polytopes-1611.07354</loc><lastmod>2017-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-diameter-of-dual-graphs-of-stanley-reisner-rings-with-serre-s-2-property-and-hirsch-type-bounds-on-abstractions-of-polytopes-1611.07354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-diameter-of-dual-graphs-of-stanley-reisner-rings-with-serre-s-2-property-and-hirsch-type-bounds-on-abstractions-of-polytopes-1611.07354"/></url>
<url><loc>https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-in-terms-of-irreducibility-1611.07439</loc><lastmod>2016-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-in-terms-of-irreducibility-1611.07439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-approach-to-the-jacobian-conjecture-in-terms-of-irreducibility-1611.07439"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-the-degrees-of-a-minimal-mu-basis-for-a-rational-surface-parametrization-1611.07506</loc><lastmod>2018-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-the-degrees-of-a-minimal-mu-basis-for-a-rational-surface-parametrization-1611.07506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-the-degrees-of-a-minimal-mu-basis-for-a-rational-surface-parametrization-1611.07506"/></url>
<url><loc>https://scifaro.com/en/abs/boolean-graphs-are-unmixed-and-vertex-decomposable-1611.07574</loc><lastmod>2018-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boolean-graphs-are-unmixed-and-vertex-decomposable-1611.07574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boolean-graphs-are-unmixed-and-vertex-decomposable-1611.07574"/></url>
<url><loc>https://scifaro.com/en/abs/the-hermitian-null-range-of-a-matrix-over-a-finite-field-1611.08840</loc><lastmod>2016-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hermitian-null-range-of-a-matrix-over-a-finite-field-1611.08840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hermitian-null-range-of-a-matrix-over-a-finite-field-1611.08840"/></url>
<url><loc>https://scifaro.com/en/abs/codualizing-modules-1611.08881</loc><lastmod>2016-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/codualizing-modules-1611.08881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/codualizing-modules-1611.08881"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-proper-interval-graphs-1611.10117</loc><lastmod>2016-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-proper-interval-graphs-1611.10117"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-binomial-edge-ideals-of-proper-interval-graphs-1611.10117"/></url>
<url><loc>https://scifaro.com/en/abs/computing-j-ideals-of-a-matrix-over-a-principal-ideal-domain-1611.10308</loc><lastmod>2017-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-j-ideals-of-a-matrix-over-a-principal-ideal-domain-1611.10308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-j-ideals-of-a-matrix-over-a-principal-ideal-domain-1611.10308"/></url>
<url><loc>https://scifaro.com/en/abs/the-ziegler-spectrum-of-the-d-infinity-plane-singularity-1612.00002</loc><lastmod>2016-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ziegler-spectrum-of-the-d-infinity-plane-singularity-1612.00002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ziegler-spectrum-of-the-d-infinity-plane-singularity-1612.00002"/></url>
<url><loc>https://scifaro.com/en/abs/applications-of-multisymmetric-syzygies-in-invariant-theory-1612.00302</loc><lastmod>2016-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/applications-of-multisymmetric-syzygies-in-invariant-theory-1612.00302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/applications-of-multisymmetric-syzygies-in-invariant-theory-1612.00302"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-generic-ideals-and-the-weak-lefschetz-property-for-powers-of-some-monomial-complete-intersections-1612.00411</loc><lastmod>2018-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-generic-ideals-and-the-weak-lefschetz-property-for-powers-of-some-monomial-complete-intersections-1612.00411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-generic-ideals-and-the-weak-lefschetz-property-for-powers-of-some-monomial-complete-intersections-1612.00411"/></url>
<url><loc>https://scifaro.com/en/abs/detecting-finite-flat-dimension-of-modules-via-iterates-of-the-frobenius-endomorphism-1612.00509</loc><lastmod>2017-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/detecting-finite-flat-dimension-of-modules-via-iterates-of-the-frobenius-endomorphism-1612.00509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/detecting-finite-flat-dimension-of-modules-via-iterates-of-the-frobenius-endomorphism-1612.00509"/></url>
<url><loc>https://scifaro.com/en/abs/the-monoid-structure-on-homotopy-obstructions-1612.00749</loc><lastmod>2019-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-monoid-structure-on-homotopy-obstructions-1612.00749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-monoid-structure-on-homotopy-obstructions-1612.00749"/></url>
<url><loc>https://scifaro.com/en/abs/domains-with-invertible-radical-factorization-1612.01477</loc><lastmod>2019-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/domains-with-invertible-radical-factorization-1612.01477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/domains-with-invertible-radical-factorization-1612.01477"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-algebras-defined-by-three-relations-1612.01558</loc><lastmod>2017-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-algebras-defined-by-three-relations-1612.01558"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-algebras-defined-by-three-relations-1612.01558"/></url>
<url><loc>https://scifaro.com/en/abs/isomorphisms-of-discriminant-algebras-1612.01582</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphisms-of-discriminant-algebras-1612.01582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphisms-of-discriminant-algebras-1612.01582"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-irreducibility-of-multivariate-polynomials-1612.01702</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-irreducibility-of-multivariate-polynomials-1612.01702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-irreducibility-of-multivariate-polynomials-1612.01702"/></url>
<url><loc>https://scifaro.com/en/abs/an-irreducibility-criterion-for-integer-polynomials-1612.01712</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-irreducibility-criterion-for-integer-polynomials-1612.01712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-irreducibility-criterion-for-integer-polynomials-1612.01712"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-neron-desingularization-for-two-dimensional-rings-1612.01827</loc><lastmod>2016-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-neron-desingularization-for-two-dimensional-rings-1612.01827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-neron-desingularization-for-two-dimensional-rings-1612.01827"/></url>
<url><loc>https://scifaro.com/en/abs/total-positivity-of-sums-hadamard-products-and-hadamard-powers-results-and-counterexamples-1612.02210</loc><lastmod>2021-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/total-positivity-of-sums-hadamard-products-and-hadamard-powers-results-and-counterexamples-1612.02210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/total-positivity-of-sums-hadamard-products-and-hadamard-powers-results-and-counterexamples-1612.02210"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-for-homogeneous-ideals-with-betti-numbers-1-n-n-1-1612.02472</loc><lastmod>2016-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-for-homogeneous-ideals-with-betti-numbers-1-n-n-1-1612.02472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-for-homogeneous-ideals-with-betti-numbers-1-n-n-1-1612.02472"/></url>
<url><loc>https://scifaro.com/en/abs/i-primary-submodules-1612.02476</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/i-primary-submodules-1612.02476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/i-primary-submodules-1612.02476"/></url>
<url><loc>https://scifaro.com/en/abs/the-trace-of-the-canonical-module-1612.02723</loc><lastmod>2020-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-trace-of-the-canonical-module-1612.02723"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-trace-of-the-canonical-module-1612.02723"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-number-of-near-vector-spaces-determined-by-finite-fields-1612.02906</loc><lastmod>2016-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-number-of-near-vector-spaces-determined-by-finite-fields-1612.02906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-number-of-near-vector-spaces-determined-by-finite-fields-1612.02906"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-resolution-of-fan-algebras-of-principal-ideals-over-a-noetherian-ring-1612.02939</loc><lastmod>2019-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-resolution-of-fan-algebras-of-principal-ideals-over-a-noetherian-ring-1612.02939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-resolution-of-fan-algebras-of-principal-ideals-over-a-noetherian-ring-1612.02939"/></url>
<url><loc>https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-1612.02968</loc><lastmod>2019-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-1612.02968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-1612.02968"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-of-commutative-semigroups-with-a-focus-on-semigroups-of-ideals-and-modules-1612.03116</loc><lastmod>2018-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-of-commutative-semigroups-with-a-focus-on-semigroups-of-ideals-and-modules-1612.03116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-of-commutative-semigroups-with-a-focus-on-semigroups-of-ideals-and-modules-1612.03116"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-properties-under-the-amalgamated-construction-1612.03408</loc><lastmod>2016-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-properties-under-the-amalgamated-construction-1612.03408"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-properties-under-the-amalgamated-construction-1612.03408"/></url>
<url><loc>https://scifaro.com/en/abs/an-uniform-general-neron-desingularization-in-dimension-one-1612.03416</loc><lastmod>2017-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-uniform-general-neron-desingularization-in-dimension-one-1612.03416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-uniform-general-neron-desingularization-in-dimension-one-1612.03416"/></url>
<url><loc>https://scifaro.com/en/abs/linear-residuals-and-gallai-simplicial-complexes-1612.03544</loc><lastmod>2017-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-residuals-and-gallai-simplicial-complexes-1612.03544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-residuals-and-gallai-simplicial-complexes-1612.03544"/></url>
<url><loc>https://scifaro.com/en/abs/closed-formula-for-univariate-subresultants-in-multiple-roots-1612.05160</loc><lastmod>2018-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closed-formula-for-univariate-subresultants-in-multiple-roots-1612.05160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closed-formula-for-univariate-subresultants-in-multiple-roots-1612.05160"/></url>
<url><loc>https://scifaro.com/en/abs/unimodal-gorenstein-h-vectors-without-the-stanley-iarrobino-property-1612.05522</loc><lastmod>2018-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unimodal-gorenstein-h-vectors-without-the-stanley-iarrobino-property-1612.05522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unimodal-gorenstein-h-vectors-without-the-stanley-iarrobino-property-1612.05522"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-proof-for-the-krull-dimension-of-a-polynomial-ring-1612.05670</loc><lastmod>2019-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-proof-for-the-krull-dimension-of-a-polynomial-ring-1612.05670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-proof-for-the-krull-dimension-of-a-polynomial-ring-1612.05670"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-invariants-and-moduli-of-generic-two-dimensional-commutative-algebras-1612.05737</loc><lastmod>2016-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-invariants-and-moduli-of-generic-two-dimensional-commutative-algebras-1612.05737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-invariants-and-moduli-of-generic-two-dimensional-commutative-algebras-1612.05737"/></url>
<url><loc>https://scifaro.com/en/abs/the-upper-topology-and-its-relation-with-the-projective-modules-1612.05745</loc><lastmod>2019-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-upper-topology-and-its-relation-with-the-projective-modules-1612.05745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-upper-topology-and-its-relation-with-the-projective-modules-1612.05745"/></url>
<url><loc>https://scifaro.com/en/abs/spontaneous-atomicity-for-polynomial-rings-with-zero-divisors-1612.05976</loc><lastmod>2016-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spontaneous-atomicity-for-polynomial-rings-with-zero-divisors-1612.05976"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spontaneous-atomicity-for-polynomial-rings-with-zero-divisors-1612.05976"/></url>
<url><loc>https://scifaro.com/en/abs/vector-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-1612.06039</loc><lastmod>2026-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-1612.06039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-1612.06039"/></url>
<url><loc>https://scifaro.com/en/abs/neural-ideal-preserving-homomorphisms-1612.06150</loc><lastmod>2019-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/neural-ideal-preserving-homomorphisms-1612.06150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/neural-ideal-preserving-homomorphisms-1612.06150"/></url>
<url><loc>https://scifaro.com/en/abs/the-sally-modules-of-ideals-a-survey-1612.06261</loc><lastmod>2016-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-sally-modules-of-ideals-a-survey-1612.06261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-sally-modules-of-ideals-a-survey-1612.06261"/></url>
<url><loc>https://scifaro.com/en/abs/markov-random-fields-and-iterated-toric-fibre-products-1612.06737</loc><lastmod>2018-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/markov-random-fields-and-iterated-toric-fibre-products-1612.06737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/markov-random-fields-and-iterated-toric-fibre-products-1612.06737"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-length-function-of-saturations-of-ideal-powers-1612.07606</loc><lastmod>2017-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-length-function-of-saturations-of-ideal-powers-1612.07606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-length-function-of-saturations-of-ideal-powers-1612.07606"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-finitely-generated-modules-and-the-unmixed-degrees-1612.07638</loc><lastmod>2025-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-finitely-generated-modules-and-the-unmixed-degrees-1612.07638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-finitely-generated-modules-and-the-unmixed-degrees-1612.07638"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-path-ideal-associated-to-an-n-cyclic-graph-1612.08177</loc><lastmod>2016-12-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-path-ideal-associated-to-an-n-cyclic-graph-1612.08177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-path-ideal-associated-to-an-n-cyclic-graph-1612.08177"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-products-and-direct-limits-of-almost-cohen-macaulay-modules-1612.08257</loc><lastmod>2019-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-products-and-direct-limits-of-almost-cohen-macaulay-modules-1612.08257"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-products-and-direct-limits-of-almost-cohen-macaulay-modules-1612.08257"/></url>
<url><loc>https://scifaro.com/en/abs/invertibility-of-ideals-in-prufer-extensions-1612.08454</loc><lastmod>2016-12-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invertibility-of-ideals-in-prufer-extensions-1612.08454"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invertibility-of-ideals-in-prufer-extensions-1612.08454"/></url>
<url><loc>https://scifaro.com/en/abs/on-three-families-of-dense-puiseux-monoids-1701.00058</loc><lastmod>2025-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-three-families-of-dense-puiseux-monoids-1701.00058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-three-families-of-dense-puiseux-monoids-1701.00058"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-of-the-cayley-menger-determinant-and-of-a-class-of-related-polynomials-1701.00407</loc><lastmod>2017-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-of-the-cayley-menger-determinant-and-of-a-class-of-related-polynomials-1701.00407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-of-the-cayley-menger-determinant-and-of-a-class-of-related-polynomials-1701.00407"/></url>
<url><loc>https://scifaro.com/en/abs/from-euler-class-groups-to-mennicke-symbols-and-a-monic-inversion-principle-1701.00509</loc><lastmod>2017-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/from-euler-class-groups-to-mennicke-symbols-and-a-monic-inversion-principle-1701.00509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/from-euler-class-groups-to-mennicke-symbols-and-a-monic-inversion-principle-1701.00509"/></url>
<url><loc>https://scifaro.com/en/abs/delta-sets-for-symmetric-numerical-semigroups-with-embedding-dimension-three-1701.00988</loc><lastmod>2017-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/delta-sets-for-symmetric-numerical-semigroups-with-embedding-dimension-three-1701.00988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/delta-sets-for-symmetric-numerical-semigroups-with-embedding-dimension-three-1701.00988"/></url>
<url><loc>https://scifaro.com/en/abs/pruned-cellular-free-resolutions-of-monomial-ideals-1701.01134</loc><lastmod>2019-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pruned-cellular-free-resolutions-of-monomial-ideals-1701.01134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pruned-cellular-free-resolutions-of-monomial-ideals-1701.01134"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-1701.01270</loc><lastmod>2017-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-1701.01270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-1701.01270"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-plethories-in-characteristic-zero-1701.01314</loc><lastmod>2017-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-plethories-in-characteristic-zero-1701.01314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-plethories-in-characteristic-zero-1701.01314"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-invariants-of-edge-ideal-of-circulant-graphs-1701.01357</loc><lastmod>2017-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-edge-ideal-of-circulant-graphs-1701.01357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-edge-ideal-of-circulant-graphs-1701.01357"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-n-th-row-of-the-graded-betti-table-of-an-n-dimensional-toric-variety-1701.01393</loc><lastmod>2017-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-n-th-row-of-the-graded-betti-table-of-an-n-dimensional-toric-variety-1701.01393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-n-th-row-of-the-graded-betti-table-of-an-n-dimensional-toric-variety-1701.01393"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-with-two-absorbing-factorization-1701.02104</loc><lastmod>2019-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-with-two-absorbing-factorization-1701.02104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-with-two-absorbing-factorization-1701.02104"/></url>
<url><loc>https://scifaro.com/en/abs/a-homological-theory-of-functions-1701.02302</loc><lastmod>2017-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-homological-theory-of-functions-1701.02302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-homological-theory-of-functions-1701.02302"/></url>
<url><loc>https://scifaro.com/en/abs/how-many-units-can-a-commutative-ring-have-1701.02341</loc><lastmod>2017-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-many-units-can-a-commutative-ring-have-1701.02341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-many-units-can-a-commutative-ring-have-1701.02341"/></url>
<url><loc>https://scifaro.com/en/abs/local-okounkov-bodies-and-limits-in-prime-characteristic-1701.02575</loc><lastmod>2017-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-okounkov-bodies-and-limits-in-prime-characteristic-1701.02575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-okounkov-bodies-and-limits-in-prime-characteristic-1701.02575"/></url>
<url><loc>https://scifaro.com/en/abs/k-shellable-simplicial-complexes-and-graphs-1701.02868</loc><lastmod>2017-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-shellable-simplicial-complexes-and-graphs-1701.02868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-shellable-simplicial-complexes-and-graphs-1701.02868"/></url>
<url><loc>https://scifaro.com/en/abs/homological-subsets-of-spec-1701.03001</loc><lastmod>2021-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-subsets-of-spec-1701.03001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-subsets-of-spec-1701.03001"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-level-algebras-of-socle-degree-4-1701.03180</loc><lastmod>2017-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-level-algebras-of-socle-degree-4-1701.03180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-level-algebras-of-socle-degree-4-1701.03180"/></url>
<url><loc>https://scifaro.com/en/abs/a-blowup-algebra-of-hyperplane-arrangements-1701.03470</loc><lastmod>2018-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-blowup-algebra-of-hyperplane-arrangements-1701.03470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-blowup-algebra-of-hyperplane-arrangements-1701.03470"/></url>
<url><loc>https://scifaro.com/en/abs/nice-derivations-over-principal-ideal-domains-1701.03635</loc><lastmod>2017-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nice-derivations-over-principal-ideal-domains-1701.03635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nice-derivations-over-principal-ideal-domains-1701.03635"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-facet-ideal-of-an-expanded-simplicial-complex-1701.04734</loc><lastmod>2017-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-facet-ideal-of-an-expanded-simplicial-complex-1701.04734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-facet-ideal-of-an-expanded-simplicial-complex-1701.04734"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-question-of-buchweitz-about-ranks-of-syzygies-of-modules-of-finite-length-1701.04990</loc><lastmod>2017-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-question-of-buchweitz-about-ranks-of-syzygies-of-modules-of-finite-length-1701.04990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-question-of-buchweitz-about-ranks-of-syzygies-of-modules-of-finite-length-1701.04990"/></url>
<url><loc>https://scifaro.com/en/abs/embedding-dimension-and-codimension-of-tensor-products-of-algebras-over-a-field-1701.05365</loc><lastmod>2017-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embedding-dimension-and-codimension-of-tensor-products-of-algebras-over-a-field-1701.05365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embedding-dimension-and-codimension-of-tensor-products-of-algebras-over-a-field-1701.05365"/></url>
<url><loc>https://scifaro.com/en/abs/absolutely-lq-finite-extension-1701.05430</loc><lastmod>2017-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absolutely-lq-finite-extension-1701.05430"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absolutely-lq-finite-extension-1701.05430"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-of-ramification-ii-henselian-rationality-1701.05508</loc><lastmod>2019-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-of-ramification-ii-henselian-rationality-1701.05508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-of-ramification-ii-henselian-rationality-1701.05508"/></url>
<url><loc>https://scifaro.com/en/abs/tilting-classes-over-commutative-rings-1701.05534</loc><lastmod>2020-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tilting-classes-over-commutative-rings-1701.05534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tilting-classes-over-commutative-rings-1701.05534"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-cohen-macaulay-rings-associated-to-their-canonical-ideals-1701.05592</loc><lastmod>2017-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-cohen-macaulay-rings-associated-to-their-canonical-ideals-1701.05592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-cohen-macaulay-rings-associated-to-their-canonical-ideals-1701.05592"/></url>
<url><loc>https://scifaro.com/en/abs/a-baer-krull-theorem-for-quasi-ordered-groups-1701.05827</loc><lastmod>2018-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-baer-krull-theorem-for-quasi-ordered-groups-1701.05827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-baer-krull-theorem-for-quasi-ordered-groups-1701.05827"/></url>
<url><loc>https://scifaro.com/en/abs/the-lfed-and-lned-conjectures-for-laurent-polynomial-algebras-1701.05997</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lfed-and-lned-conjectures-for-laurent-polynomial-algebras-1701.05997"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lfed-and-lned-conjectures-for-laurent-polynomial-algebras-1701.05997"/></url>
<url><loc>https://scifaro.com/en/abs/some-finiteness-properties-of-generalized-graded-local-cohomology-modules-1701.06072</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-finiteness-properties-of-generalized-graded-local-cohomology-modules-1701.06072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-finiteness-properties-of-generalized-graded-local-cohomology-modules-1701.06072"/></url>
<url><loc>https://scifaro.com/en/abs/some-conditions-under-which-certain-types-of-modules-possess-localization-property-1701.06082</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-conditions-under-which-certain-types-of-modules-possess-localization-property-1701.06082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-conditions-under-which-certain-types-of-modules-possess-localization-property-1701.06082"/></url>
<url><loc>https://scifaro.com/en/abs/images-of-ideals-under-derivations-and-mathcal-e-derivations-of-univariate-polynomial-algebras-over-a-field-of-characteristic-zero-1701.06125</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/images-of-ideals-under-derivations-and-mathcal-e-derivations-of-univariate-polynomial-algebras-over-a-field-of-characteristic-zero-1701.06125"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/images-of-ideals-under-derivations-and-mathcal-e-derivations-of-univariate-polynomial-algebras-over-a-field-of-characteristic-zero-1701.06125"/></url>
<url><loc>https://scifaro.com/en/abs/i-prime-ideals-1701.06194</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/i-prime-ideals-1701.06194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/i-prime-ideals-1701.06194"/></url>
<url><loc>https://scifaro.com/en/abs/modules-with-pure-resolutions-1701.06475</loc><lastmod>2017-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-with-pure-resolutions-1701.06475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-with-pure-resolutions-1701.06475"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-almost-gorenstein-property-of-determinantal-rings-1701.06690</loc><lastmod>2017-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-almost-gorenstein-property-of-determinantal-rings-1701.06690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-almost-gorenstein-property-of-determinantal-rings-1701.06690"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-immediate-extensions-of-valued-differential-fields-1701.06691</loc><lastmod>2018-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-immediate-extensions-of-valued-differential-fields-1701.06691"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-immediate-extensions-of-valued-differential-fields-1701.06691"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-cycles-and-golod-rings-1701.06738</loc><lastmod>2017-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-cycles-and-golod-rings-1701.06738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-cycles-and-golod-rings-1701.06738"/></url>
<url><loc>https://scifaro.com/en/abs/symmetries-and-connected-components-of-the-ar-quiver-1701.06849</loc><lastmod>2017-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetries-and-connected-components-of-the-ar-quiver-1701.06849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetries-and-connected-components-of-the-ar-quiver-1701.06849"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-spectra-of-rings-consisting-of-regulated-functions-1701.07014</loc><lastmod>2020-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-spectra-of-rings-consisting-of-regulated-functions-1701.07014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-spectra-of-rings-consisting-of-regulated-functions-1701.07014"/></url>
<url><loc>https://scifaro.com/en/abs/random-monomial-ideals-1701.07130</loc><lastmod>2018-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/random-monomial-ideals-1701.07130"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/random-monomial-ideals-1701.07130"/></url>
<url><loc>https://scifaro.com/en/abs/a-bound-on-degrees-of-primitive-elements-of-toric-graph-ideals-1701.07137</loc><lastmod>2017-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bound-on-degrees-of-primitive-elements-of-toric-graph-ideals-1701.07137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bound-on-degrees-of-primitive-elements-of-toric-graph-ideals-1701.07137"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-outlook-on-cofiniteness-1701.07716</loc><lastmod>2018-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-outlook-on-cofiniteness-1701.07716"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-outlook-on-cofiniteness-1701.07716"/></url>
<url><loc>https://scifaro.com/en/abs/local-homology-finiteness-of-tor-modules-and-cofiniteness-1701.07721</loc><lastmod>2017-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-homology-finiteness-of-tor-modules-and-cofiniteness-1701.07721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-homology-finiteness-of-tor-modules-and-cofiniteness-1701.07721"/></url>
<url><loc>https://scifaro.com/en/abs/local-homology-koszul-homology-and-serre-classes-1701.07727</loc><lastmod>2018-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-homology-koszul-homology-and-serre-classes-1701.07727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-homology-koszul-homology-and-serre-classes-1701.07727"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-projectivity-of-finitely-generated-flat-modules-1701.07735</loc><lastmod>2019-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-projectivity-of-finitely-generated-flat-modules-1701.07735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-projectivity-of-finitely-generated-flat-modules-1701.07735"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-lattice-ideals-of-digraphs-1701.07990</loc><lastmod>2018-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-lattice-ideals-of-digraphs-1701.07990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-lattice-ideals-of-digraphs-1701.07990"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-and-canonical-module-of-residual-intersections-1701.08087</loc><lastmod>2019-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-and-canonical-module-of-residual-intersections-1701.08087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-and-canonical-module-of-residual-intersections-1701.08087"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-trivial-extensions-1701.08489</loc><lastmod>2017-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-trivial-extensions-1701.08489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-trivial-extensions-1701.08489"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-presentations-of-shifted-numerical-monoids-1701.08555</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-presentations-of-shifted-numerical-monoids-1701.08555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-presentations-of-shifted-numerical-monoids-1701.08555"/></url>
<url><loc>https://scifaro.com/en/abs/on-gorenstein-fiber-products-and-applications-1701.08689</loc><lastmod>2018-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gorenstein-fiber-products-and-applications-1701.08689"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gorenstein-fiber-products-and-applications-1701.08689"/></url>
<url><loc>https://scifaro.com/en/abs/nested-artin-strong-approximation-property-1701.09154</loc><lastmod>2017-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nested-artin-strong-approximation-property-1701.09154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nested-artin-strong-approximation-property-1701.09154"/></url>
<url><loc>https://scifaro.com/en/abs/an-example-in-complete-intersections-and-an-erratum-1702.00087</loc><lastmod>2017-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-example-in-complete-intersections-and-an-erratum-1702.00087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-example-in-complete-intersections-and-an-erratum-1702.00087"/></url>
<url><loc>https://scifaro.com/en/abs/the-finiteness-dimension-of-modules-and-relative-cohen-macaulayness-1702.00175</loc><lastmod>2018-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-finiteness-dimension-of-modules-and-relative-cohen-macaulayness-1702.00175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-finiteness-dimension-of-modules-and-relative-cohen-macaulayness-1702.00175"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-newton-complementary-duals-of-monomial-ideals-1702.00519</loc><lastmod>2019-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-newton-complementary-duals-of-monomial-ideals-1702.00519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-newton-complementary-duals-of-monomial-ideals-1702.00519"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-reductions-for-the-stanley-depth-of-i-and-s-i-1702.00781</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-reductions-for-the-stanley-depth-of-i-and-s-i-1702.00781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-reductions-for-the-stanley-depth-of-i-and-s-i-1702.00781"/></url>
<url><loc>https://scifaro.com/en/abs/on-zero-divisors-of-semimodules-and-semialgebras-1702.00810</loc><lastmod>2019-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-zero-divisors-of-semimodules-and-semialgebras-1702.00810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-zero-divisors-of-semimodules-and-semialgebras-1702.00810"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-unicyclic-graphs-1702.00916</loc><lastmod>2022-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-unicyclic-graphs-1702.00916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-unicyclic-graphs-1702.00916"/></url>
<url><loc>https://scifaro.com/en/abs/tropical-compound-matrix-identities-1702.00980</loc><lastmod>2019-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tropical-compound-matrix-identities-1702.00980"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tropical-compound-matrix-identities-1702.00980"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-of-local-co-homology-over-commutative-dg-rings-1702.01107</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-of-local-co-homology-over-commutative-dg-rings-1702.01107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-of-local-co-homology-over-commutative-dg-rings-1702.01107"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-koszul-homologies-and-almost-complete-intersections-1702.01111</loc><lastmod>2019-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-koszul-homologies-and-almost-complete-intersections-1702.01111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-koszul-homologies-and-almost-complete-intersections-1702.01111"/></url>
<url><loc>https://scifaro.com/en/abs/local-dimension-theory-of-tensor-products-of-algebras-over-a-ring-1702.01345</loc><lastmod>2017-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-dimension-theory-of-tensor-products-of-algebras-over-a-ring-1702.01345"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-dimension-theory-of-tensor-products-of-algebras-over-a-ring-1702.01345"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-in-the-classical-n-eron-desingularization-1702.01445</loc><lastmod>2017-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-in-the-classical-n-eron-desingularization-1702.01445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-in-the-classical-n-eron-desingularization-1702.01445"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-sums-of-ideals-1702.01766</loc><lastmod>2021-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-sums-of-ideals-1702.01766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-sums-of-ideals-1702.01766"/></url>
<url><loc>https://scifaro.com/en/abs/constructive-n-eron-desingularization-of-algebras-with-big-smooth-locus-1702.01867</loc><lastmod>2017-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructive-n-eron-desingularization-of-algebras-with-big-smooth-locus-1702.01867"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructive-n-eron-desingularization-of-algebras-with-big-smooth-locus-1702.01867"/></url>
<url><loc>https://scifaro.com/en/abs/infty-w-0-generated-field-extensions-1702.02312</loc><lastmod>2017-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infty-w-0-generated-field-extensions-1702.02312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infty-w-0-generated-field-extensions-1702.02312"/></url>
<url><loc>https://scifaro.com/en/abs/total-betti-numbers-of-modules-of-finite-projective-dimension-1702.02560</loc><lastmod>2017-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/total-betti-numbers-of-modules-of-finite-projective-dimension-1702.02560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/total-betti-numbers-of-modules-of-finite-projective-dimension-1702.02560"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-complexes-of-cotorsion-flat-modules-1702.02985</loc><lastmod>2019-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-complexes-of-cotorsion-flat-modules-1702.02985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-complexes-of-cotorsion-flat-modules-1702.02985"/></url>
<url><loc>https://scifaro.com/en/abs/totally-acyclic-complexes-and-locally-gorenstein-rings-1702.02986</loc><lastmod>2017-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-acyclic-complexes-and-locally-gorenstein-rings-1702.02986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-acyclic-complexes-and-locally-gorenstein-rings-1702.02986"/></url>
<url><loc>https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-regular-local-rings-and-pullbacks-1702.03058</loc><lastmod>2017-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-regular-local-rings-and-pullbacks-1702.03058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/directed-unions-of-local-quadratic-transforms-of-regular-local-rings-and-pullbacks-1702.03058"/></url>
<url><loc>https://scifaro.com/en/abs/cosupport-computations-for-finitely-generated-modules-over-commutative-noetherian-rings-1702.03270</loc><lastmod>2018-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cosupport-computations-for-finitely-generated-modules-over-commutative-noetherian-rings-1702.03270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cosupport-computations-for-finitely-generated-modules-over-commutative-noetherian-rings-1702.03270"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-behaviour-in-sectional-matrices-1702.03292</loc><lastmod>2017-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-behaviour-in-sectional-matrices-1702.03292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-behaviour-in-sectional-matrices-1702.03292"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-tensor-products-of-modules-1702.03645</loc><lastmod>2017-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-tensor-products-of-modules-1702.03645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-tensor-products-of-modules-1702.03645"/></url>
<url><loc>https://scifaro.com/en/abs/local-bezout-estimates-and-multiplicities-of-parameter-and-primary-ideals-1702.03704</loc><lastmod>2017-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-bezout-estimates-and-multiplicities-of-parameter-and-primary-ideals-1702.03704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-bezout-estimates-and-multiplicities-of-parameter-and-primary-ideals-1702.03704"/></url>
<url><loc>https://scifaro.com/en/abs/about-algebraic-puiseux-series-in-several-variables-1702.03709</loc><lastmod>2019-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-algebraic-puiseux-series-in-several-variables-1702.03709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-algebraic-puiseux-series-in-several-variables-1702.03709"/></url>
<url><loc>https://scifaro.com/en/abs/a-commutative-noetherian-local-ring-of-embedding-dimension-4-having-a-transcendental-series-of-betti-numbers-1702.04262</loc><lastmod>2017-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-commutative-noetherian-local-ring-of-embedding-dimension-4-having-a-transcendental-series-of-betti-numbers-1702.04262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-commutative-noetherian-local-ring-of-embedding-dimension-4-having-a-transcendental-series-of-betti-numbers-1702.04262"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-and-arboricity-of-matroids-1702.04491</loc><lastmod>2017-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-and-arboricity-of-matroids-1702.04491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-and-arboricity-of-matroids-1702.04491"/></url>
<url><loc>https://scifaro.com/en/abs/conic-intersections-maximal-cohen-macaulay-modules-and-the-four-subspace-problem-1702.06608</loc><lastmod>2017-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conic-intersections-maximal-cohen-macaulay-modules-and-the-four-subspace-problem-1702.06608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conic-intersections-maximal-cohen-macaulay-modules-and-the-four-subspace-problem-1702.06608"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-ideals-defining-f-pure-and-strongly-f-regular-rings-1702.06876</loc><lastmod>2017-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-defining-f-pure-and-strongly-f-regular-rings-1702.06876"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-defining-f-pure-and-strongly-f-regular-rings-1702.06876"/></url>
<url><loc>https://scifaro.com/en/abs/computing-and-using-minimal-polynomials-1702.07262</loc><lastmod>2019-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-and-using-minimal-polynomials-1702.07262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-and-using-minimal-polynomials-1702.07262"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-binomial-edge-ideals-of-pairs-of-graphs-1702.07316</loc><lastmod>2018-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-binomial-edge-ideals-of-pairs-of-graphs-1702.07316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-binomial-edge-ideals-of-pairs-of-graphs-1702.07316"/></url>
<url><loc>https://scifaro.com/en/abs/k-clean-monomial-ideals-1702.07574</loc><lastmod>2017-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-clean-monomial-ideals-1702.07574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-clean-monomial-ideals-1702.07574"/></url>
<url><loc>https://scifaro.com/en/abs/linear-maps-in-minimal-free-resolutions-of-stanley-reisner-rings-1702.07765</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-maps-in-minimal-free-resolutions-of-stanley-reisner-rings-1702.07765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-maps-in-minimal-free-resolutions-of-stanley-reisner-rings-1702.07765"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-of-the-set-of-hilbert-coefficients-1702.07913</loc><lastmod>2017-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-of-the-set-of-hilbert-coefficients-1702.07913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-of-the-set-of-hilbert-coefficients-1702.07913"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-molecules-of-numerical-semigroups-puiseux-monoids-and-puiseux-algebras-1702.08270</loc><lastmod>2020-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-molecules-of-numerical-semigroups-puiseux-monoids-and-puiseux-algebras-1702.08270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-molecules-of-numerical-semigroups-puiseux-monoids-and-puiseux-algebras-1702.08270"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-a-commutative-ring-1702.08525</loc><lastmod>2017-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-a-commutative-ring-1702.08525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-a-commutative-ring-1702.08525"/></url>
<url><loc>https://scifaro.com/en/abs/ffrt-properties-of-hypersurfaces-and-their-f-signature-1703.00442</loc><lastmod>2018-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ffrt-properties-of-hypersurfaces-and-their-f-signature-1703.00442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ffrt-properties-of-hypersurfaces-and-their-f-signature-1703.00442"/></url>
<url><loc>https://scifaro.com/en/abs/estimates-for-the-coefficients-of-differential-dimension-polynomials-1703.00509</loc><lastmod>2018-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/estimates-for-the-coefficients-of-differential-dimension-polynomials-1703.00509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/estimates-for-the-coefficients-of-differential-dimension-polynomials-1703.00509"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-finiteness-dimension-of-local-cohomology-modules-over-local-cohen-macaulay-rings-1703.00741</loc><lastmod>2017-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-finiteness-dimension-of-local-cohomology-modules-over-local-cohen-macaulay-rings-1703.00741"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-finiteness-dimension-of-local-cohomology-modules-over-local-cohen-macaulay-rings-1703.00741"/></url>
<url><loc>https://scifaro.com/en/abs/locally-unmixed-modules-and-linearly-equivalent-topologies-1703.00746</loc><lastmod>2017-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-unmixed-modules-and-linearly-equivalent-topologies-1703.00746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-unmixed-modules-and-linearly-equivalent-topologies-1703.00746"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-properties-of-local-cohomology-modules-for-regular-local-rings-1703.00756</loc><lastmod>2017-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-properties-of-local-cohomology-modules-for-regular-local-rings-1703.00756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-properties-of-local-cohomology-modules-for-regular-local-rings-1703.00756"/></url>
<url><loc>https://scifaro.com/en/abs/modules-cofinite-and-weakly-cofinite-with-respect-to-an-ideal-1703.00766</loc><lastmod>2017-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-cofinite-and-weakly-cofinite-with-respect-to-an-ideal-1703.00766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-cofinite-and-weakly-cofinite-with-respect-to-an-ideal-1703.00766"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-mathbb-z-m-1703.01150</loc><lastmod>2017-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-mathbb-z-m-1703.01150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-intersection-graph-of-ideals-of-mathbb-z-m-1703.01150"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-resolutions-1703.01561</loc><lastmod>2020-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-resolutions-1703.01561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-resolutions-1703.01561"/></url>
<url><loc>https://scifaro.com/en/abs/d-sequence-and-regular-sequence-of-quadrics-1703.01756</loc><lastmod>2020-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-sequence-and-regular-sequence-of-quadrics-1703.01756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-sequence-and-regular-sequence-of-quadrics-1703.01756"/></url>
<url><loc>https://scifaro.com/en/abs/the-ohm-rush-content-function-ii-noetherian-rings-valuation-domains-and-base-change-1703.02114</loc><lastmod>2018-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ohm-rush-content-function-ii-noetherian-rings-valuation-domains-and-base-change-1703.02114"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ohm-rush-content-function-ii-noetherian-rings-valuation-domains-and-base-change-1703.02114"/></url>
<url><loc>https://scifaro.com/en/abs/transfinitely-valued-euclidean-domains-have-arbitrary-indecomposable-order-type-1703.02631</loc><lastmod>2018-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transfinitely-valued-euclidean-domains-have-arbitrary-indecomposable-order-type-1703.02631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transfinitely-valued-euclidean-domains-have-arbitrary-indecomposable-order-type-1703.02631"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-the-associated-graded-ring-of-certain-monomial-curves-1703.03359</loc><lastmod>2017-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-the-associated-graded-ring-of-certain-monomial-curves-1703.03359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-the-associated-graded-ring-of-certain-monomial-curves-1703.03359"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-conditions-under-the-amalgamated-construction-1703.03962</loc><lastmod>2017-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-conditions-under-the-amalgamated-construction-1703.03962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-conditions-under-the-amalgamated-construction-1703.03962"/></url>
<url><loc>https://scifaro.com/en/abs/normality-of-dser-elementary-orthogonal-group-1703.04083</loc><lastmod>2017-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-of-dser-elementary-orthogonal-group-1703.04083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-of-dser-elementary-orthogonal-group-1703.04083"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-monomial-ideals-of-projective-dimension-1-1703.04110</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-monomial-ideals-of-projective-dimension-1-1703.04110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-monomial-ideals-of-projective-dimension-1-1703.04110"/></url>
<url><loc>https://scifaro.com/en/abs/a-polynomial-identity-via-differential-operators-1703.04167</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-polynomial-identity-via-differential-operators-1703.04167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-polynomial-identity-via-differential-operators-1703.04167"/></url>
<url><loc>https://scifaro.com/en/abs/the-elasticity-of-puiseux-monoids-1703.04207</loc><lastmod>2017-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-elasticity-of-puiseux-monoids-1703.04207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-elasticity-of-puiseux-monoids-1703.04207"/></url>
<url><loc>https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-ii-1703.04516</loc><lastmod>2019-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-ii-1703.04516"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gl-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-ii-1703.04516"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-symbolic-topologies-via-multinomial-expansions-1703.04530</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-symbolic-topologies-via-multinomial-expansions-1703.04530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-symbolic-topologies-via-multinomial-expansions-1703.04530"/></url>
<url><loc>https://scifaro.com/en/abs/jump-loci-for-the-rank-of-matrices-and-betti-numbers-of-chain-complexes-over-laurent-polynomial-rings-1703.04687</loc><lastmod>2019-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jump-loci-for-the-rank-of-matrices-and-betti-numbers-of-chain-complexes-over-laurent-polynomial-rings-1703.04687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jump-loci-for-the-rank-of-matrices-and-betti-numbers-of-chain-complexes-over-laurent-polynomial-rings-1703.04687"/></url>
<url><loc>https://scifaro.com/en/abs/pretty-k-clean-monomial-ideals-and-k-decomposable-multicomplexes-1703.05488</loc><lastmod>2017-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pretty-k-clean-monomial-ideals-and-k-decomposable-multicomplexes-1703.05488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pretty-k-clean-monomial-ideals-and-k-decomposable-multicomplexes-1703.05488"/></url>
<url><loc>https://scifaro.com/en/abs/modified-recursive-cholesky-rchol-algorithm-an-explicit-estimation-and-pseudo-inverse-of-correlation-matrices-1703.05904</loc><lastmod>2017-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modified-recursive-cholesky-rchol-algorithm-an-explicit-estimation-and-pseudo-inverse-of-correlation-matrices-1703.05904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modified-recursive-cholesky-rchol-algorithm-an-explicit-estimation-and-pseudo-inverse-of-correlation-matrices-1703.05904"/></url>
<url><loc>https://scifaro.com/en/abs/a-gr-obner-basis-for-the-graph-of-the-reciprocal-plane-1703.05967</loc><lastmod>2017-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gr-obner-basis-for-the-graph-of-the-reciprocal-plane-1703.05967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gr-obner-basis-for-the-graph-of-the-reciprocal-plane-1703.05967"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-over-cohen-macaulay-local-rings-1703.06160</loc><lastmod>2017-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-over-cohen-macaulay-local-rings-1703.06160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-over-cohen-macaulay-local-rings-1703.06160"/></url>
<url><loc>https://scifaro.com/en/abs/almost-buchsbaumness-of-some-rings-arising-from-complexes-with-isolated-singularities-1703.06460</loc><lastmod>2017-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-buchsbaumness-of-some-rings-arising-from-complexes-with-isolated-singularities-1703.06460"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-buchsbaumness-of-some-rings-arising-from-complexes-with-isolated-singularities-1703.06460"/></url>
<url><loc>https://scifaro.com/en/abs/equivalences-from-tilting-theory-and-commutative-algebra-from-the-adjoint-functor-point-of-view-1703.06685</loc><lastmod>2017-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivalences-from-tilting-theory-and-commutative-algebra-from-the-adjoint-functor-point-of-view-1703.06685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivalences-from-tilting-theory-and-commutative-algebra-from-the-adjoint-functor-point-of-view-1703.06685"/></url>
<url><loc>https://scifaro.com/en/abs/g-1-smooth-splines-on-quad-meshes-with-4-split-macro-patch-elements-1703.06717</loc><lastmod>2017-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-1-smooth-splines-on-quad-meshes-with-4-split-macro-patch-elements-1703.06717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-1-smooth-splines-on-quad-meshes-with-4-split-macro-patch-elements-1703.06717"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-fi-modules-and-local-cohomology-1703.06832</loc><lastmod>2019-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-fi-modules-and-local-cohomology-1703.06832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-fi-modules-and-local-cohomology-1703.06832"/></url>
<url><loc>https://scifaro.com/en/abs/weyr-structures-of-matrices-and-relevance-to-commutative-finite-dimensional-algebras-1703.07181</loc><lastmod>2017-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weyr-structures-of-matrices-and-relevance-to-commutative-finite-dimensional-algebras-1703.07181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weyr-structures-of-matrices-and-relevance-to-commutative-finite-dimensional-algebras-1703.07181"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-the-macaulay-dual-generators-for-quadratic-complete-intersections-1703.07199</loc><lastmod>2017-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-the-macaulay-dual-generators-for-quadratic-complete-intersections-1703.07199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-the-macaulay-dual-generators-for-quadratic-complete-intersections-1703.07199"/></url>
<url><loc>https://scifaro.com/en/abs/the-lefschetz-question-for-ideals-generated-by-powers-of-linear-forms-in-few-variables-1703.07456</loc><lastmod>2017-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lefschetz-question-for-ideals-generated-by-powers-of-linear-forms-in-few-variables-1703.07456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lefschetz-question-for-ideals-generated-by-powers-of-linear-forms-in-few-variables-1703.07456"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-theory-of-gordan-noether-on-homogeneous-forms-with-zero-hessian-improved-version-1703.07624</loc><lastmod>2019-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-theory-of-gordan-noether-on-homogeneous-forms-with-zero-hessian-improved-version-1703.07624"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-theory-of-gordan-noether-on-homogeneous-forms-with-zero-hessian-improved-version-1703.07624"/></url>
<url><loc>https://scifaro.com/en/abs/virtual-resolutions-for-a-product-of-projective-spaces-1703.07631</loc><lastmod>2020-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/virtual-resolutions-for-a-product-of-projective-spaces-1703.07631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/virtual-resolutions-for-a-product-of-projective-spaces-1703.07631"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-coefficients-depth-of-associated-graded-rings-and-reduction-numbers-1703.07961</loc><lastmod>2019-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-coefficients-depth-of-associated-graded-rings-and-reduction-numbers-1703.07961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-coefficients-depth-of-associated-graded-rings-and-reduction-numbers-1703.07961"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-lefschetz-property-of-monomial-complete-intersections-in-two-variables-1703.07970</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-of-monomial-complete-intersections-in-two-variables-1703.07970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-of-monomial-complete-intersections-in-two-variables-1703.07970"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-toric-rings-of-graphs-1703.08270</loc><lastmod>2022-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-toric-rings-of-graphs-1703.08270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-toric-rings-of-graphs-1703.08270"/></url>
<url><loc>https://scifaro.com/en/abs/big-cohen-macaulay-algebras-and-the-vanishing-conjecture-for-maps-of-tor-in-mixed-characteristic-1703.08281</loc><lastmod>2018-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-cohen-macaulay-algebras-and-the-vanishing-conjecture-for-maps-of-tor-in-mixed-characteristic-1703.08281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-cohen-macaulay-algebras-and-the-vanishing-conjecture-for-maps-of-tor-in-mixed-characteristic-1703.08281"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-and-commutativity-principle-1703.08292</loc><lastmod>2026-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-and-commutativity-principle-1703.08292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-and-commutativity-principle-1703.08292"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-h-vector-of-s-r-simplicial-complexes-1703.08672</loc><lastmod>2017-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-h-vector-of-s-r-simplicial-complexes-1703.08672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-h-vector-of-s-r-simplicial-complexes-1703.08672"/></url>
<url><loc>https://scifaro.com/en/abs/witt-differentials-in-the-h-topology-1703.08868</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/witt-differentials-in-the-h-topology-1703.08868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/witt-differentials-in-the-h-topology-1703.08868"/></url>
<url><loc>https://scifaro.com/en/abs/pseudocomplementation-and-minimal-prime-ideals-in-semirings-1703.08923</loc><lastmod>2018-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pseudocomplementation-and-minimal-prime-ideals-in-semirings-1703.08923"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pseudocomplementation-and-minimal-prime-ideals-in-semirings-1703.08923"/></url>
<url><loc>https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-algebras-over-finite-fields-1703.09121</loc><lastmod>2019-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-algebras-over-finite-fields-1703.09121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-algebras-over-finite-fields-1703.09121"/></url>
<url><loc>https://scifaro.com/en/abs/the-multiplicity-and-the-number-of-generators-of-an-integrally-closed-ideal-1703.09427</loc><lastmod>2018-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-multiplicity-and-the-number-of-generators-of-an-integrally-closed-ideal-1703.09427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-multiplicity-and-the-number-of-generators-of-an-integrally-closed-ideal-1703.09427"/></url>
<url><loc>https://scifaro.com/en/abs/topological-properties-of-semigroup-primes-of-a-commutative-ring-1703.10153</loc><lastmod>2017-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-properties-of-semigroup-primes-of-a-commutative-ring-1703.10153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-properties-of-semigroup-primes-of-a-commutative-ring-1703.10153"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-algebra-of-generalised-frobenius-numbers-1703.10884</loc><lastmod>2018-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-algebra-of-generalised-frobenius-numbers-1703.10884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-algebra-of-generalised-frobenius-numbers-1703.10884"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-bipartite-graphs-1704.00152</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-bipartite-graphs-1704.00152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-bipartite-graphs-1704.00152"/></url>
<url><loc>https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-ii-subhomaloidal-nets-1704.00382</loc><lastmod>2017-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-ii-subhomaloidal-nets-1704.00382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homaloidal-nets-and-ideals-of-fat-points-ii-subhomaloidal-nets-1704.00382"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-of-parameter-ideals-in-local-rings-f-rational-on-the-punctured-spectrum-1704.00500</loc><lastmod>2017-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-of-parameter-ideals-in-local-rings-f-rational-on-the-punctured-spectrum-1704.00500"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-of-parameter-ideals-in-local-rings-f-rational-on-the-punctured-spectrum-1704.00500"/></url>
<url><loc>https://scifaro.com/en/abs/local-rings-with-quasi-decomposable-maximal-ideal-1704.00719</loc><lastmod>2020-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-rings-with-quasi-decomposable-maximal-ideal-1704.00719"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-rings-with-quasi-decomposable-maximal-ideal-1704.00719"/></url>
<url><loc>https://scifaro.com/en/abs/sally-modules-of-canonical-ideals-in-dimension-one-and-2-agl-rings-1704.00997</loc><lastmod>2017-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sally-modules-of-canonical-ideals-in-dimension-one-and-2-agl-rings-1704.00997"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sally-modules-of-canonical-ideals-in-dimension-one-and-2-agl-rings-1704.00997"/></url>
<url><loc>https://scifaro.com/en/abs/the-type-defect-of-a-simplicial-complex-1704.01243</loc><lastmod>2019-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-type-defect-of-a-simplicial-complex-1704.01243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-type-defect-of-a-simplicial-complex-1704.01243"/></url>
<url><loc>https://scifaro.com/en/abs/topics-on-2-almost-gorenstein-rings-1704.01278</loc><lastmod>2017-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topics-on-2-almost-gorenstein-rings-1704.01278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topics-on-2-almost-gorenstein-rings-1704.01278"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-bounds-for-twisted-commutative-algebras-1704.01630</loc><lastmod>2020-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-bounds-for-twisted-commutative-algebras-1704.01630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-bounds-for-twisted-commutative-algebras-1704.01630"/></url>
<url><loc>https://scifaro.com/en/abs/the-absolutely-koszul-property-of-veronese-subrings-and-segre-products-1704.01654</loc><lastmod>2017-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-absolutely-koszul-property-of-veronese-subrings-and-segre-products-1704.01654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-absolutely-koszul-property-of-veronese-subrings-and-segre-products-1704.01654"/></url>
<url><loc>https://scifaro.com/en/abs/noether-resolutions-in-dimension-2-1704.01777</loc><lastmod>2017-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-resolutions-in-dimension-2-1704.01777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-resolutions-in-dimension-2-1704.01777"/></url>
<url><loc>https://scifaro.com/en/abs/k-ahler-differential-algebras-for-0-dimensional-schemes-1704.02111</loc><lastmod>2017-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-ahler-differential-algebras-for-0-dimensional-schemes-1704.02111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-ahler-differential-algebras-for-0-dimensional-schemes-1704.02111"/></url>
<url><loc>https://scifaro.com/en/abs/embeddings-of-canonical-modules-and-resolutions-of-connected-sums-1704.03072</loc><lastmod>2017-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embeddings-of-canonical-modules-and-resolutions-of-connected-sums-1704.03072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embeddings-of-canonical-modules-and-resolutions-of-connected-sums-1704.03072"/></url>
<url><loc>https://scifaro.com/en/abs/excellence-in-prime-characteristic-1704.03628</loc><lastmod>2018-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/excellence-in-prime-characteristic-1704.03628"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/excellence-in-prime-characteristic-1704.03628"/></url>
<url><loc>https://scifaro.com/en/abs/small-groebner-fans-of-ideals-of-points-1704.03680</loc><lastmod>2024-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/small-groebner-fans-of-ideals-of-points-1704.03680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/small-groebner-fans-of-ideals-of-points-1704.03680"/></url>
<url><loc>https://scifaro.com/en/abs/tores-associ-es-a-une-alg-ebre-etale-quartique-1704.04072</loc><lastmod>2017-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tores-associ-es-a-une-alg-ebre-etale-quartique-1704.04072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tores-associ-es-a-une-alg-ebre-etale-quartique-1704.04072"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-of-finite-groups-1704.04080</loc><lastmod>2017-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-of-finite-groups-1704.04080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-of-finite-groups-1704.04080"/></url>
<url><loc>https://scifaro.com/en/abs/a-software-package-to-compute-automorphisms-of-graded-algebras-1704.05078</loc><lastmod>2018-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-software-package-to-compute-automorphisms-of-graded-algebras-1704.05078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-software-package-to-compute-automorphisms-of-graded-algebras-1704.05078"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-r-ltimes-i-an-almost-gorenstein-local-ring-1704.05961</loc><lastmod>2017-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-r-ltimes-i-an-almost-gorenstein-local-ring-1704.05961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-r-ltimes-i-an-almost-gorenstein-local-ring-1704.05961"/></url>
<url><loc>https://scifaro.com/en/abs/noether-s-problem-on-semidirect-product-groups-1704.07053</loc><lastmod>2017-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-s-problem-on-semidirect-product-groups-1704.07053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-s-problem-on-semidirect-product-groups-1704.07053"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-cactus-graphs-1704.07106</loc><lastmod>2017-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-cactus-graphs-1704.07106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-cactus-graphs-1704.07106"/></url>
<url><loc>https://scifaro.com/en/abs/rees-theorem-for-filtrations-multiplicity-function-and-reduction-criteria-1704.07643</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-theorem-for-filtrations-multiplicity-function-and-reduction-criteria-1704.07643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-theorem-for-filtrations-multiplicity-function-and-reduction-criteria-1704.07643"/></url>
<url><loc>https://scifaro.com/en/abs/configurations-of-linear-spaces-of-codimension-two-and-the-containment-problem-1704.07870</loc><lastmod>2017-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/configurations-of-linear-spaces-of-codimension-two-and-the-containment-problem-1704.07870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/configurations-of-linear-spaces-of-codimension-two-and-the-containment-problem-1704.07870"/></url>
<url><loc>https://scifaro.com/en/abs/generator-matrix-for-two-dimensional-cyclic-codes-of-arbitrary-length-1704.08070</loc><lastmod>2017-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generator-matrix-for-two-dimensional-cyclic-codes-of-arbitrary-length-1704.08070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generator-matrix-for-two-dimensional-cyclic-codes-of-arbitrary-length-1704.08070"/></url>
<url><loc>https://scifaro.com/en/abs/the-first-syzygy-of-hibi-rings-associated-with-planar-distributive-lattices-1704.08286</loc><lastmod>2025-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-first-syzygy-of-hibi-rings-associated-with-planar-distributive-lattices-1704.08286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-first-syzygy-of-hibi-rings-associated-with-planar-distributive-lattices-1704.08286"/></url>
<url><loc>https://scifaro.com/en/abs/the-set-of-unattainable-points-for-the-rational-hermite-interpolation-problem-1704.08563</loc><lastmod>2017-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-set-of-unattainable-points-for-the-rational-hermite-interpolation-problem-1704.08563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-set-of-unattainable-points-for-the-rational-hermite-interpolation-problem-1704.08563"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-generalized-gorenstein-rings-1704.08901</loc><lastmod>2017-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-generalized-gorenstein-rings-1704.08901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-generalized-gorenstein-rings-1704.08901"/></url>
<url><loc>https://scifaro.com/en/abs/on-switala-s-matlis-duality-1705.00021</loc><lastmod>2017-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-switala-s-matlis-duality-1705.00021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-switala-s-matlis-duality-1705.00021"/></url>
<url><loc>https://scifaro.com/en/abs/transversal-intersection-of-monomial-ideals-1705.00488</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/transversal-intersection-of-monomial-ideals-1705.00488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/transversal-intersection-of-monomial-ideals-1705.00488"/></url>
<url><loc>https://scifaro.com/en/abs/on-algebraic-characterization-of-ssc-of-the-jahangir-s-graph-mathcal-j-n-m-1705.00521</loc><lastmod>2020-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-algebraic-characterization-of-ssc-of-the-jahangir-s-graph-mathcal-j-n-m-1705.00521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-algebraic-characterization-of-ssc-of-the-jahangir-s-graph-mathcal-j-n-m-1705.00521"/></url>
<url><loc>https://scifaro.com/en/abs/cartwright-sturmfels-ideals-associated-to-graphs-and-linear-spaces-1705.00575</loc><lastmod>2021-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cartwright-sturmfels-ideals-associated-to-graphs-and-linear-spaces-1705.00575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cartwright-sturmfels-ideals-associated-to-graphs-and-linear-spaces-1705.00575"/></url>
<url><loc>https://scifaro.com/en/abs/duality-and-de-rham-cohomology-for-graded-d-modules-1705.00788</loc><lastmod>2018-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-and-de-rham-cohomology-for-graded-d-modules-1705.00788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-and-de-rham-cohomology-for-graded-d-modules-1705.00788"/></url>
<url><loc>https://scifaro.com/en/abs/completely-integrally-closed-prufer-v-multiplication-domains-1705.01033</loc><lastmod>2017-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completely-integrally-closed-prufer-v-multiplication-domains-1705.01033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completely-integrally-closed-prufer-v-multiplication-domains-1705.01033"/></url>
<url><loc>https://scifaro.com/en/abs/non-compact-subsets-of-the-zariski-space-of-an-integral-domain-1705.01301</loc><lastmod>2017-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-compact-subsets-of-the-zariski-space-of-an-integral-domain-1705.01301"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-compact-subsets-of-the-zariski-space-of-an-integral-domain-1705.01301"/></url>
<url><loc>https://scifaro.com/en/abs/associated-graded-rings-and-connected-sums-1705.01413</loc><lastmod>2017-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-graded-rings-and-connected-sums-1705.01413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-graded-rings-and-connected-sums-1705.01413"/></url>
<url><loc>https://scifaro.com/en/abs/topological-noetherianity-of-polynomial-functors-1705.01419</loc><lastmod>2019-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-noetherianity-of-polynomial-functors-1705.01419"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-noetherianity-of-polynomial-functors-1705.01419"/></url>
<url><loc>https://scifaro.com/en/abs/some-homological-properties-of-ideals-with-cohomological-dimension-one-1705.01594</loc><lastmod>2017-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-homological-properties-of-ideals-with-cohomological-dimension-one-1705.01594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-homological-properties-of-ideals-with-cohomological-dimension-one-1705.01594"/></url>
<url><loc>https://scifaro.com/en/abs/linear-syzygies-hyperbolic-coxeter-groups-and-regularity-1705.01802</loc><lastmod>2019-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-syzygies-hyperbolic-coxeter-groups-and-regularity-1705.01802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-syzygies-hyperbolic-coxeter-groups-and-regularity-1705.01802"/></url>
<url><loc>https://scifaro.com/en/abs/perfectoid-multiplier-test-ideals-in-regular-rings-and-bounds-on-symbolic-powers-1705.02300</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfectoid-multiplier-test-ideals-in-regular-rings-and-bounds-on-symbolic-powers-1705.02300"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfectoid-multiplier-test-ideals-in-regular-rings-and-bounds-on-symbolic-powers-1705.02300"/></url>
<url><loc>https://scifaro.com/en/abs/inequalities-for-free-multi-braid-arrangements-1705.02409</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inequalities-for-free-multi-braid-arrangements-1705.02409"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inequalities-for-free-multi-braid-arrangements-1705.02409"/></url>
<url><loc>https://scifaro.com/en/abs/effect-of-nilpotency-on-semisimplicity-and-cohomology-of-the-z-module-z-p-1-k-1-times-cdots-times-p-n-k-n-z-1705.02528</loc><lastmod>2017-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effect-of-nilpotency-on-semisimplicity-and-cohomology-of-the-z-module-z-p-1-k-1-times-cdots-times-p-n-k-n-z-1705.02528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effect-of-nilpotency-on-semisimplicity-and-cohomology-of-the-z-module-z-p-1-k-1-times-cdots-times-p-n-k-n-z-1705.02528"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-properties-of-the-moment-map-of-some-classical-representations-1705.02688</loc><lastmod>2018-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-properties-of-the-moment-map-of-some-classical-representations-1705.02688"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-properties-of-the-moment-map-of-some-classical-representations-1705.02688"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-diameter-of-an-ideal-1705.03210</loc><lastmod>2017-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-diameter-of-an-ideal-1705.03210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-diameter-of-an-ideal-1705.03210"/></url>
<url><loc>https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-ii-1705.03353</loc><lastmod>2017-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-ii-1705.03353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-ii-1705.03353"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-topologies-on-linearly-recursive-sequences-1705.03433</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-topologies-on-linearly-recursive-sequences-1705.03433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-topologies-on-linearly-recursive-sequences-1705.03433"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-linear-independence-of-shifted-powers-1705.03842</loc><lastmod>2017-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-linear-independence-of-shifted-powers-1705.03842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-linear-independence-of-shifted-powers-1705.03842"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-modules-1705.03980</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-modules-1705.03980"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-modules-1705.03980"/></url>
<url><loc>https://scifaro.com/en/abs/on-regular-sequences-in-the-form-module-with-applications-to-local-b-ezout-inequalities-1705.04024</loc><lastmod>2017-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-regular-sequences-in-the-form-module-with-applications-to-local-b-ezout-inequalities-1705.04024"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-regular-sequences-in-the-form-module-with-applications-to-local-b-ezout-inequalities-1705.04024"/></url>
<url><loc>https://scifaro.com/en/abs/realizable-sets-of-catenary-degrees-of-numerical-monoids-1705.04276</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/realizable-sets-of-catenary-degrees-of-numerical-monoids-1705.04276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/realizable-sets-of-catenary-degrees-of-numerical-monoids-1705.04276"/></url>
<url><loc>https://scifaro.com/en/abs/connectedness-of-the-balmer-spectra-of-right-bounded-derived-categories-1705.04631</loc><lastmod>2017-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connectedness-of-the-balmer-spectra-of-right-bounded-derived-categories-1705.04631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connectedness-of-the-balmer-spectra-of-right-bounded-derived-categories-1705.04631"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dimension-of-syzygies-1705.04952</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dimension-of-syzygies-1705.04952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dimension-of-syzygies-1705.04952"/></url>
<url><loc>https://scifaro.com/en/abs/length-of-local-cohomology-of-powers-of-ideals-1705.05033</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/length-of-local-cohomology-of-powers-of-ideals-1705.05033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/length-of-local-cohomology-of-powers-of-ideals-1705.05033"/></url>
<url><loc>https://scifaro.com/en/abs/on-delta-invariants-and-indices-of-ideals-1705.05042</loc><lastmod>2017-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-delta-invariants-and-indices-of-ideals-1705.05042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-delta-invariants-and-indices-of-ideals-1705.05042"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-primary-spectrum-of-a-commutative-ring-and-a-sheaf-of-rings-1705.05604</loc><lastmod>2017-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-primary-spectrum-of-a-commutative-ring-and-a-sheaf-of-rings-1705.05604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-primary-spectrum-of-a-commutative-ring-and-a-sheaf-of-rings-1705.05604"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-gorenstein-k-algebras-1705.05686</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-gorenstein-k-algebras-1705.05686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-gorenstein-k-algebras-1705.05686"/></url>
<url><loc>https://scifaro.com/en/abs/totally-reflexive-modules-over-rings-that-are-close-to-gorenstein-1705.05714</loc><lastmod>2017-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-reflexive-modules-over-rings-that-are-close-to-gorenstein-1705.05714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-reflexive-modules-over-rings-that-are-close-to-gorenstein-1705.05714"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-koszul-cycles-and-koszul-homologies-1705.05909</loc><lastmod>2017-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-koszul-cycles-and-koszul-homologies-1705.05909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-koszul-cycles-and-koszul-homologies-1705.05909"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-betti-series-of-universal-modules-of-differential-operators-1705.06129</loc><lastmod>2017-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-betti-series-of-universal-modules-of-differential-operators-1705.06129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-betti-series-of-universal-modules-of-differential-operators-1705.06129"/></url>
<url><loc>https://scifaro.com/en/abs/red-injective-modules-1705.06411</loc><lastmod>2017-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/red-injective-modules-1705.06411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/red-injective-modules-1705.06411"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-cover-ideals-of-unimodular-hypergraphs-1705.06426</loc><lastmod>2017-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-cover-ideals-of-unimodular-hypergraphs-1705.06426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-cover-ideals-of-unimodular-hypergraphs-1705.06426"/></url>
<url><loc>https://scifaro.com/en/abs/totally-reflexive-modules-and-poincar-e-series-1705.06563</loc><lastmod>2018-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-reflexive-modules-and-poincar-e-series-1705.06563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-reflexive-modules-and-poincar-e-series-1705.06563"/></url>
<url><loc>https://scifaro.com/en/abs/topological-tensor-product-of-bimodules-complete-hopf-algebroids-and-convolution-algebras-1705.06698</loc><lastmod>2020-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-tensor-product-of-bimodules-complete-hopf-algebroids-and-convolution-algebras-1705.06698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-tensor-product-of-bimodules-complete-hopf-algebroids-and-convolution-algebras-1705.06698"/></url>
<url><loc>https://scifaro.com/en/abs/pseudo-frobenius-numbers-versus-defining-ideals-in-numerical-semigroup-rings-1705.06902</loc><lastmod>2017-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pseudo-frobenius-numbers-versus-defining-ideals-in-numerical-semigroup-rings-1705.06902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pseudo-frobenius-numbers-versus-defining-ideals-in-numerical-semigroup-rings-1705.06902"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-hibi-rings-1705.07630</loc><lastmod>2017-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-hibi-rings-1705.07630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-hibi-rings-1705.07630"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-primary-spectrum-over-commutative-rings-1705.07702</loc><lastmod>2017-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-primary-spectrum-over-commutative-rings-1705.07702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-primary-spectrum-over-commutative-rings-1705.07702"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-co-homology-over-deformations-of-cohen-macaulay-local-rings-of-minimal-multiplicity-1705.09178</loc><lastmod>2019-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-co-homology-over-deformations-of-cohen-macaulay-local-rings-of-minimal-multiplicity-1705.09178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-co-homology-over-deformations-of-cohen-macaulay-local-rings-of-minimal-multiplicity-1705.09178"/></url>
<url><loc>https://scifaro.com/en/abs/distinguishing-bbbk-configurations-1705.09195</loc><lastmod>2018-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distinguishing-bbbk-configurations-1705.09195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distinguishing-bbbk-configurations-1705.09195"/></url>
<url><loc>https://scifaro.com/en/abs/counting-submodules-of-a-module-over-a-noetherian-commutative-ring-1705.09224</loc><lastmod>2019-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-submodules-of-a-module-over-a-noetherian-commutative-ring-1705.09224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-submodules-of-a-module-over-a-noetherian-commutative-ring-1705.09224"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-rank-is-not-multiplicative-under-the-tensor-product-1705.09379</loc><lastmod>2022-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-rank-is-not-multiplicative-under-the-tensor-product-1705.09379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-rank-is-not-multiplicative-under-the-tensor-product-1705.09379"/></url>
<url><loc>https://scifaro.com/en/abs/an-efficient-algebraic-criterion-for-shellability-1705.09537</loc><lastmod>2017-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-efficient-algebraic-criterion-for-shellability-1705.09537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-efficient-algebraic-criterion-for-shellability-1705.09537"/></url>
<url><loc>https://scifaro.com/en/abs/counting-the-number-of-distinct-distances-of-elements-in-valued-field-extensions-1705.09541</loc><lastmod>2017-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-the-number-of-distinct-distances-of-elements-in-valued-field-extensions-1705.09541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-the-number-of-distinct-distances-of-elements-in-valued-field-extensions-1705.09541"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-in-modules-and-splitting-multiplicatively-closed-subsets-1705.09799</loc><lastmod>2018-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-in-modules-and-splitting-multiplicatively-closed-subsets-1705.09799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-in-modules-and-splitting-multiplicatively-closed-subsets-1705.09799"/></url>
<url><loc>https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-rings-of-space-monomial-curves-having-negative-curves-1705.09865</loc><lastmod>2017-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-rings-of-space-monomial-curves-having-negative-curves-1705.09865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinitely-generated-symbolic-rees-rings-of-space-monomial-curves-having-negative-curves-1705.09865"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-edge-ideal-of-graphs-1705.10226</loc><lastmod>2017-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-edge-ideal-of-graphs-1705.10226"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-edge-ideal-of-graphs-1705.10226"/></url>
<url><loc>https://scifaro.com/en/abs/critical-binomial-ideals-of-norhtcott-type-1705.10268</loc><lastmod>2017-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/critical-binomial-ideals-of-norhtcott-type-1705.10268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/critical-binomial-ideals-of-norhtcott-type-1705.10268"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-modules-with-respect-to-a-semidualizing-module-1705.10615</loc><lastmod>2017-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-modules-with-respect-to-a-semidualizing-module-1705.10615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-modules-with-respect-to-a-semidualizing-module-1705.10615"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-for-twisted-commutative-algebras-1705.10718</loc><lastmod>2018-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-for-twisted-commutative-algebras-1705.10718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-for-twisted-commutative-algebras-1705.10718"/></url>
<url><loc>https://scifaro.com/en/abs/nearly-commuting-matrices-1705.10957</loc><lastmod>2017-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nearly-commuting-matrices-1705.10957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nearly-commuting-matrices-1705.10957"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-representation-of-measures-over-bounded-lattices-1705.11051</loc><lastmod>2021-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-representation-of-measures-over-bounded-lattices-1705.11051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-representation-of-measures-over-bounded-lattices-1705.11051"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-free-aluffi-algebras-1706.00065</loc><lastmod>2017-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-free-aluffi-algebras-1706.00065"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-free-aluffi-algebras-1706.00065"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-and-cohen-macaulay-vertex-weighted-digraphs-1706.00126</loc><lastmod>2018-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-and-cohen-macaulay-vertex-weighted-digraphs-1706.00126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-and-cohen-macaulay-vertex-weighted-digraphs-1706.00126"/></url>
<url><loc>https://scifaro.com/en/abs/tensoring-with-the-frobenius-endomorphism-1706.00238</loc><lastmod>2020-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensoring-with-the-frobenius-endomorphism-1706.00238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensoring-with-the-frobenius-endomorphism-1706.00238"/></url>
<url><loc>https://scifaro.com/en/abs/on-emv-algebras-1706.00571</loc><lastmod>2017-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-emv-algebras-1706.00571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-emv-algebras-1706.00571"/></url>
<url><loc>https://scifaro.com/en/abs/stability-properties-of-powers-of-ideals-over-regular-local-rings-of-small-dimension-1706.01024</loc><lastmod>2018-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-properties-of-powers-of-ideals-over-regular-local-rings-of-small-dimension-1706.01024"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-properties-of-powers-of-ideals-over-regular-local-rings-of-small-dimension-1706.01024"/></url>
<url><loc>https://scifaro.com/en/abs/random-flag-complexes-and-asymptotic-syzygies-1706.01488</loc><lastmod>2019-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/random-flag-complexes-and-asymptotic-syzygies-1706.01488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/random-flag-complexes-and-asymptotic-syzygies-1706.01488"/></url>
<url><loc>https://scifaro.com/en/abs/examples-of-finite-free-complexes-of-small-rank-and-small-homology-1706.02156</loc><lastmod>2018-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/examples-of-finite-free-complexes-of-small-rank-and-small-homology-1706.02156"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/examples-of-finite-free-complexes-of-small-rank-and-small-homology-1706.02156"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-dimensional-excellent-rings-1706.02491</loc><lastmod>2018-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-dimensional-excellent-rings-1706.02491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-dimensional-excellent-rings-1706.02491"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-on-the-noether-number-1706.03126</loc><lastmod>2017-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-on-the-noether-number-1706.03126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-on-the-noether-number-1706.03126"/></url>
<url><loc>https://scifaro.com/en/abs/carlsson-s-rank-conjecture-and-a-conjecture-on-square-zero-upper-triangular-matrices-1706.03217</loc><lastmod>2018-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/carlsson-s-rank-conjecture-and-a-conjecture-on-square-zero-upper-triangular-matrices-1706.03217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/carlsson-s-rank-conjecture-and-a-conjecture-on-square-zero-upper-triangular-matrices-1706.03217"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-polynomial-ideal-binomial-after-an-ambient-automorphism-1706.03629</loc><lastmod>2017-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-polynomial-ideal-binomial-after-an-ambient-automorphism-1706.03629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-polynomial-ideal-binomial-after-an-ambient-automorphism-1706.03629"/></url>
<url><loc>https://scifaro.com/en/abs/universal-gradings-of-orders-1706.04233</loc><lastmod>2018-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universal-gradings-of-orders-1706.04233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universal-gradings-of-orders-1706.04233"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-ordered-rings-1706.04533</loc><lastmod>2018-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-ordered-rings-1706.04533"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-ordered-rings-1706.04533"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-complexity-of-hibi-rings-1706.04992</loc><lastmod>2018-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-complexity-of-hibi-rings-1706.04992"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-complexity-of-hibi-rings-1706.04992"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-quotients-by-quadratic-monomials-1706.05058</loc><lastmod>2017-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-quotients-by-quadratic-monomials-1706.05058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-quotients-by-quadratic-monomials-1706.05058"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-cyclotomic-integers-1706.05390</loc><lastmod>2020-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-cyclotomic-integers-1706.05390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-cyclotomic-integers-1706.05390"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-p-typical-de-rham-witt-complex-over-w-k-1706.05675</loc><lastmod>2019-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-p-typical-de-rham-witt-complex-over-w-k-1706.05675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-p-typical-de-rham-witt-complex-over-w-k-1706.05675"/></url>
<url><loc>https://scifaro.com/en/abs/the-ideal-of-maximal-flags-of-a-poset-1706.05742</loc><lastmod>2017-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ideal-of-maximal-flags-of-a-poset-1706.05742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ideal-of-maximal-flags-of-a-poset-1706.05742"/></url>
<url><loc>https://scifaro.com/en/abs/greenlees-may-duality-in-a-nutshell-1706.06072</loc><lastmod>2017-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/greenlees-may-duality-in-a-nutshell-1706.06072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/greenlees-may-duality-in-a-nutshell-1706.06072"/></url>
<url><loc>https://scifaro.com/en/abs/new-algebraic-properties-of-quadratic-quotients-of-the-rees-algebra-1706.06180</loc><lastmod>2018-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-algebraic-properties-of-quadratic-quotients-of-the-rees-algebra-1706.06180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-algebraic-properties-of-quadratic-quotients-of-the-rees-algebra-1706.06180"/></url>
<url><loc>https://scifaro.com/en/abs/a-d-module-approach-on-the-equations-of-the-rees-algebra-1706.06215</loc><lastmod>2018-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-d-module-approach-on-the-equations-of-the-rees-algebra-1706.06215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-d-module-approach-on-the-equations-of-the-rees-algebra-1706.06215"/></url>
<url><loc>https://scifaro.com/en/abs/repeated-root-constacyclic-codes-over-finite-commutative-chain-rings-and-their-distances-1706.06269</loc><lastmod>2017-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/repeated-root-constacyclic-codes-over-finite-commutative-chain-rings-and-their-distances-1706.06269"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/repeated-root-constacyclic-codes-over-finite-commutative-chain-rings-and-their-distances-1706.06269"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-reisner-rings-of-simplicial-complexes-with-a-free-action-by-an-abelian-group-1706.06506</loc><lastmod>2021-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-reisner-rings-of-simplicial-complexes-with-a-free-action-by-an-abelian-group-1706.06506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-reisner-rings-of-simplicial-complexes-with-a-free-action-by-an-abelian-group-1706.06506"/></url>
<url><loc>https://scifaro.com/en/abs/structural-decomposition-of-monomial-resolutions-1706.06572</loc><lastmod>2017-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structural-decomposition-of-monomial-resolutions-1706.06572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structural-decomposition-of-monomial-resolutions-1706.06572"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-symbolic-topologies-in-normal-toric-rings-1706.06576</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-symbolic-topologies-in-normal-toric-rings-1706.06576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-symbolic-topologies-in-normal-toric-rings-1706.06576"/></url>
<url><loc>https://scifaro.com/en/abs/long-sets-of-lengths-with-maximal-elasticity-1706.06907</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/long-sets-of-lengths-with-maximal-elasticity-1706.06907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/long-sets-of-lengths-with-maximal-elasticity-1706.06907"/></url>
<url><loc>https://scifaro.com/en/abs/integral-perfectoid-big-cohen-macaulay-algebras-via-andr-e-s-theorem-1706.06946</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-perfectoid-big-cohen-macaulay-algebras-via-andr-e-s-theorem-1706.06946"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-perfectoid-big-cohen-macaulay-algebras-via-andr-e-s-theorem-1706.06946"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-computation-of-the-f-pure-threshold-of-an-elliptic-curve-1706.07309</loc><lastmod>2018-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-computation-of-the-f-pure-threshold-of-an-elliptic-curve-1706.07309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-computation-of-the-f-pure-threshold-of-an-elliptic-curve-1706.07309"/></url>
<url><loc>https://scifaro.com/en/abs/interpolating-between-hilbert-samuel-and-hilbert-kunz-multiplicity-1706.07445</loc><lastmod>2017-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/interpolating-between-hilbert-samuel-and-hilbert-kunz-multiplicity-1706.07445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/interpolating-between-hilbert-samuel-and-hilbert-kunz-multiplicity-1706.07445"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-of-a-two-borel-ideal-is-koszul-1706.07462</loc><lastmod>2017-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-of-a-two-borel-ideal-is-koszul-1706.07462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-of-a-two-borel-ideal-is-koszul-1706.07462"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-aspects-of-mesoprimary-decomposition-1706.07496</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-aspects-of-mesoprimary-decomposition-1706.07496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-aspects-of-mesoprimary-decomposition-1706.07496"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-depth-and-cohen-macaulayness-of-integral-closures-of-powers-of-monomial-ideals-1706.07603</loc><lastmod>2018-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-depth-and-cohen-macaulayness-of-integral-closures-of-powers-of-monomial-ideals-1706.07603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-depth-and-cohen-macaulayness-of-integral-closures-of-powers-of-monomial-ideals-1706.07603"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-ideals-of-linear-forms-in-quadric-hypersurfaces-1706.08066</loc><lastmod>2017-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-ideals-of-linear-forms-in-quadric-hypersurfaces-1706.08066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-ideals-of-linear-forms-in-quadric-hypersurfaces-1706.08066"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-of-neural-rings-1706.08559</loc><lastmod>2017-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-of-neural-rings-1706.08559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-of-neural-rings-1706.08559"/></url>
<url><loc>https://scifaro.com/en/abs/dependence-of-hilbert-coefficients-1706.08669</loc><lastmod>2018-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dependence-of-hilbert-coefficients-1706.08669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dependence-of-hilbert-coefficients-1706.08669"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-regularity-3-1706.09002</loc><lastmod>2017-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-regularity-3-1706.09002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-regularity-3-1706.09002"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-regularity-modulo-a-principal-ideal-1706.09675</loc><lastmod>2018-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-regularity-modulo-a-principal-ideal-1706.09675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-regularity-modulo-a-principal-ideal-1706.09675"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-betti-numbers-of-monomial-ideals-1706.09866</loc><lastmod>2017-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-betti-numbers-of-monomial-ideals-1706.09866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-betti-numbers-of-monomial-ideals-1706.09866"/></url>
<url><loc>https://scifaro.com/en/abs/the-loomis-sikorski-theorem-for-emv-algebras-1707.00270</loc><lastmod>2017-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-loomis-sikorski-theorem-for-emv-algebras-1707.00270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-loomis-sikorski-theorem-for-emv-algebras-1707.00270"/></url>
<url><loc>https://scifaro.com/en/abs/anticanonical-modules-of-segre-products-1707.00305</loc><lastmod>2018-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/anticanonical-modules-of-segre-products-1707.00305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/anticanonical-modules-of-segre-products-1707.00305"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-matlis-duals-of-local-cohomology-modules-1707.00501</loc><lastmod>2017-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-matlis-duals-of-local-cohomology-modules-1707.00501"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-matlis-duals-of-local-cohomology-modules-1707.00501"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-via-saturation-1707.00925</loc><lastmod>2020-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-via-saturation-1707.00925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-via-saturation-1707.00925"/></url>
<url><loc>https://scifaro.com/en/abs/hensel-s-lemma-for-general-continuous-functions-1707.01445</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hensel-s-lemma-for-general-continuous-functions-1707.01445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hensel-s-lemma-for-general-continuous-functions-1707.01445"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-splitting-of-valuation-rings-and-f-singularities-of-centers-1707.01649</loc><lastmod>2022-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-splitting-of-valuation-rings-and-f-singularities-of-centers-1707.01649"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-splitting-of-valuation-rings-and-f-singularities-of-centers-1707.01649"/></url>
<url><loc>https://scifaro.com/en/abs/computing-all-border-bases-for-ideals-of-points-1707.02076</loc><lastmod>2017-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-all-border-bases-for-ideals-of-points-1707.02076"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-all-border-bases-for-ideals-of-points-1707.02076"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-involutive-divisions-1707.02452</loc><lastmod>2017-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-involutive-divisions-1707.02452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-involutive-divisions-1707.02452"/></url>
<url><loc>https://scifaro.com/en/abs/melkersson-conditions-with-respect-to-a-prime-ideal-1707.02542</loc><lastmod>2017-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/melkersson-conditions-with-respect-to-a-prime-ideal-1707.02542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/melkersson-conditions-with-respect-to-a-prime-ideal-1707.02542"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-minimum-distance-functions-1707.03285</loc><lastmod>2019-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-minimum-distance-functions-1707.03285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-minimum-distance-functions-1707.03285"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-structures-over-the-3-sphere-and-generalized-higher-order-hochschild-homology-1707.03863</loc><lastmod>2019-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-structures-over-the-3-sphere-and-generalized-higher-order-hochschild-homology-1707.03863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-structures-over-the-3-sphere-and-generalized-higher-order-hochschild-homology-1707.03863"/></url>
<url><loc>https://scifaro.com/en/abs/free-multiplicities-on-the-moduli-of-x-3-1707.03961</loc><lastmod>2017-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-multiplicities-on-the-moduli-of-x-3-1707.03961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-multiplicities-on-the-moduli-of-x-3-1707.03961"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-good-and-bad-artinian-gorenstein-local-rings-1707.04056</loc><lastmod>2026-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-good-and-bad-artinian-gorenstein-local-rings-1707.04056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-good-and-bad-artinian-gorenstein-local-rings-1707.04056"/></url>
<url><loc>https://scifaro.com/en/abs/continuity-of-hilbert-kunz-multiplicity-and-f-signature-1707.04366</loc><lastmod>2019-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/continuity-of-hilbert-kunz-multiplicity-and-f-signature-1707.04366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/continuity-of-hilbert-kunz-multiplicity-and-f-signature-1707.04366"/></url>
<url><loc>https://scifaro.com/en/abs/extending-upper-cluster-algebras-1707.04661</loc><lastmod>2017-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extending-upper-cluster-algebras-1707.04661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extending-upper-cluster-algebras-1707.04661"/></url>
<url><loc>https://scifaro.com/en/abs/casas-alvero-conjecture-in-computational-algebraic-geometry-1707.04754</loc><lastmod>2021-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/casas-alvero-conjecture-in-computational-algebraic-geometry-1707.04754"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/casas-alvero-conjecture-in-computational-algebraic-geometry-1707.04754"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-very-well-covered-graphs-1707.04874</loc><lastmod>2017-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-very-well-covered-graphs-1707.04874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideal-of-very-well-covered-graphs-1707.04874"/></url>
<url><loc>https://scifaro.com/en/abs/multi-twisted-codes-over-finite-fields-and-their-dual-codes-1707.05039</loc><lastmod>2017-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multi-twisted-codes-over-finite-fields-and-their-dual-codes-1707.05039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multi-twisted-codes-over-finite-fields-and-their-dual-codes-1707.05039"/></url>
<url><loc>https://scifaro.com/en/abs/extension-of-i-modularity-1707.05099</loc><lastmod>2017-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-of-i-modularity-1707.05099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-of-i-modularity-1707.05099"/></url>
<url><loc>https://scifaro.com/en/abs/coprimely-structured-modules-1707.05382</loc><lastmod>2017-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coprimely-structured-modules-1707.05382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coprimely-structured-modules-1707.05382"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-resolution-conjecture-on-a-general-quartic-surface-in-mathbb-p-3-1707.05646</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-resolution-conjecture-on-a-general-quartic-surface-in-mathbb-p-3-1707.05646"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-resolution-conjecture-on-a-general-quartic-surface-in-mathbb-p-3-1707.05646"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-symplectic-and-orthogonal-groups-acting-on-text-gl-n-mathbb-c-modules-1707.05893</loc><lastmod>2020-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-symplectic-and-orthogonal-groups-acting-on-text-gl-n-mathbb-c-modules-1707.05893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-symplectic-and-orthogonal-groups-acting-on-text-gl-n-mathbb-c-modules-1707.05893"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-the-annihilators-and-attached-primes-of-local-cohomology-modules-1707.06536</loc><lastmod>2017-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-the-annihilators-and-attached-primes-of-local-cohomology-modules-1707.06536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-the-annihilators-and-attached-primes-of-local-cohomology-modules-1707.06536"/></url>
<url><loc>https://scifaro.com/en/abs/abhyankar-s-work-on-dicritical-divisors-1707.06733</loc><lastmod>2017-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abhyankar-s-work-on-dicritical-divisors-1707.06733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abhyankar-s-work-on-dicritical-divisors-1707.06733"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-cofiniteness-of-local-cohomology-modules-1707.06795</loc><lastmod>2017-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-cofiniteness-of-local-cohomology-modules-1707.06795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-cofiniteness-of-local-cohomology-modules-1707.06795"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-uniqueness-of-maximal-immediate-extensions-of-valued-differential-fields-1707.07034</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-uniqueness-of-maximal-immediate-extensions-of-valued-differential-fields-1707.07034"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-uniqueness-of-maximal-immediate-extensions-of-valued-differential-fields-1707.07034"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-number-of-generators-of-powers-of-an-ideal-1707.07302</loc><lastmod>2017-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-powers-of-an-ideal-1707.07302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-number-of-generators-of-powers-of-an-ideal-1707.07302"/></url>
<url><loc>https://scifaro.com/en/abs/towards-a-classification-of-stable-semistar-operations-on-a-pr-ufer-domain-1707.07505</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towards-a-classification-of-stable-semistar-operations-on-a-pr-ufer-domain-1707.07505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towards-a-classification-of-stable-semistar-operations-on-a-pr-ufer-domain-1707.07505"/></url>
<url><loc>https://scifaro.com/en/abs/the-sets-of-star-and-semistar-operations-on-semilocal-pr-ufer-domains-1707.07507</loc><lastmod>2017-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-sets-of-star-and-semistar-operations-on-semilocal-pr-ufer-domains-1707.07507"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-sets-of-star-and-semistar-operations-on-semilocal-pr-ufer-domains-1707.07507"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-in-boolean-rings-1707.07783</loc><lastmod>2017-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-in-boolean-rings-1707.07783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-in-boolean-rings-1707.07783"/></url>
<url><loc>https://scifaro.com/en/abs/formal-curves-are-set-theoretic-complete-intersections-1707.07982</loc><lastmod>2017-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formal-curves-are-set-theoretic-complete-intersections-1707.07982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formal-curves-are-set-theoretic-complete-intersections-1707.07982"/></url>
<url><loc>https://scifaro.com/en/abs/on-positive-characteristic-semi-parametric-local-uniform-reductions-of-varieties-over-finitely-generated-mathbb-q-algebras-1707.08043</loc><lastmod>2017-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-positive-characteristic-semi-parametric-local-uniform-reductions-of-varieties-over-finitely-generated-mathbb-q-algebras-1707.08043"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-positive-characteristic-semi-parametric-local-uniform-reductions-of-varieties-over-finitely-generated-mathbb-q-algebras-1707.08043"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-artin-approximation-with-constraints-1707.08346</loc><lastmod>2018-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-artin-approximation-with-constraints-1707.08346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-artin-approximation-with-constraints-1707.08346"/></url>
<url><loc>https://scifaro.com/en/abs/compatibility-of-quasi-orderings-and-valuations-a-baer-krull-theorem-for-quasi-ordered-rings-1707.08410</loc><lastmod>2018-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compatibility-of-quasi-orderings-and-valuations-a-baer-krull-theorem-for-quasi-ordered-rings-1707.08410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compatibility-of-quasi-orderings-and-valuations-a-baer-krull-theorem-for-quasi-ordered-rings-1707.08410"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-monomial-curves-and-the-cohen-macaulayness-of-their-tangent-cones-1707.08453</loc><lastmod>2018-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-monomial-curves-and-the-cohen-macaulayness-of-their-tangent-cones-1707.08453"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-monomial-curves-and-the-cohen-macaulayness-of-their-tangent-cones-1707.08453"/></url>
<url><loc>https://scifaro.com/en/abs/normality-and-related-properties-of-forcing-algebras-1707.08605</loc><lastmod>2017-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-and-related-properties-of-forcing-algebras-1707.08605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-and-related-properties-of-forcing-algebras-1707.08605"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-kalman-varieties-1707.08699</loc><lastmod>2017-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-kalman-varieties-1707.08699"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-kalman-varieties-1707.08699"/></url>
<url><loc>https://scifaro.com/en/abs/differential-transcendence-of-solutions-of-difference-riccati-equations-and-tietze-s-treatment-1707.08702</loc><lastmod>2018-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-transcendence-of-solutions-of-difference-riccati-equations-and-tietze-s-treatment-1707.08702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-transcendence-of-solutions-of-difference-riccati-equations-and-tietze-s-treatment-1707.08702"/></url>
<url><loc>https://scifaro.com/en/abs/the-differential-rank-of-a-differential-valued-field-1707.09493</loc><lastmod>2018-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-differential-rank-of-a-differential-valued-field-1707.09493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-differential-rank-of-a-differential-valued-field-1707.09493"/></url>
<url><loc>https://scifaro.com/en/abs/results-on-the-hilbert-coefficients-and-reduction-numbers-1707.09843</loc><lastmod>2018-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/results-on-the-hilbert-coefficients-and-reduction-numbers-1707.09843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/results-on-the-hilbert-coefficients-and-reduction-numbers-1707.09843"/></url>
<url><loc>https://scifaro.com/en/abs/towards-an-homological-generalization-of-the-direct-summand-theorem-1707.09936</loc><lastmod>2017-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towards-an-homological-generalization-of-the-direct-summand-theorem-1707.09936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towards-an-homological-generalization-of-the-direct-summand-theorem-1707.09936"/></url>
<url><loc>https://scifaro.com/en/abs/rings-and-fields-from-semigroups-1708.00229</loc><lastmod>2018-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-and-fields-from-semigroups-1708.00229"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-and-fields-from-semigroups-1708.00229"/></url>
<url><loc>https://scifaro.com/en/abs/containment-division-rings-and-new-characterizations-of-dedekind-domains-1708.00532</loc><lastmod>2017-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/containment-division-rings-and-new-characterizations-of-dedekind-domains-1708.00532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/containment-division-rings-and-new-characterizations-of-dedekind-domains-1708.00532"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-the-binomial-edge-ideal-of-closed-graphs-1708.00844</loc><lastmod>2017-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-the-binomial-edge-ideal-of-closed-graphs-1708.00844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-the-binomial-edge-ideal-of-closed-graphs-1708.00844"/></url>
<url><loc>https://scifaro.com/en/abs/flat-morphisms-of-finite-presentation-are-very-flat-1708.00846</loc><lastmod>2020-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-morphisms-of-finite-presentation-are-very-flat-1708.00846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-morphisms-of-finite-presentation-are-very-flat-1708.00846"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-blowup-algebras-of-monomial-curves-in-mathbb-a-3-defined-by-arithmetic-sequence-1708.01374</loc><lastmod>2017-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-of-monomial-curves-in-mathbb-a-3-defined-by-arithmetic-sequence-1708.01374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-of-monomial-curves-in-mathbb-a-3-defined-by-arithmetic-sequence-1708.01374"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-ii-1708.01396</loc><lastmod>2021-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-ii-1708.01396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-ii-1708.01396"/></url>
<url><loc>https://scifaro.com/en/abs/on-invariant-fields-of-vectors-and-covectors-1708.01593</loc><lastmod>2017-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-invariant-fields-of-vectors-and-covectors-1708.01593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-invariant-fields-of-vectors-and-covectors-1708.01593"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-level-k-algebras-1708.01800</loc><lastmod>2017-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-level-k-algebras-1708.01800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-the-inverse-system-of-level-k-algebras-1708.01800"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-properties-for-complete-intersection-ideals-generated-by-products-of-linear-forms-1708.01990</loc><lastmod>2017-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-for-complete-intersection-ideals-generated-by-products-of-linear-forms-1708.01990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-for-complete-intersection-ideals-generated-by-products-of-linear-forms-1708.01990"/></url>
<url><loc>https://scifaro.com/en/abs/gaussian-elements-of-a-semicontent-algebra-1708.02364</loc><lastmod>2017-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gaussian-elements-of-a-semicontent-algebra-1708.02364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gaussian-elements-of-a-semicontent-algebra-1708.02364"/></url>
<url><loc>https://scifaro.com/en/abs/a-principal-ideal-theorem-for-compact-sets-of-rank-one-valuation-rings-1708.02546</loc><lastmod>2017-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-principal-ideal-theorem-for-compact-sets-of-rank-one-valuation-rings-1708.02546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-principal-ideal-theorem-for-compact-sets-of-rank-one-valuation-rings-1708.02546"/></url>
<url><loc>https://scifaro.com/en/abs/the-golod-property-of-powers-of-the-maximal-ideal-of-a-local-ring-1708.02815</loc><lastmod>2018-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-golod-property-of-powers-of-the-maximal-ideal-of-a-local-ring-1708.02815"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-golod-property-of-powers-of-the-maximal-ideal-of-a-local-ring-1708.02815"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-ideals-1708.03010</loc><lastmod>2017-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-1708.03010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-ideals-1708.03010"/></url>
<url><loc>https://scifaro.com/en/abs/zariski-compactness-of-minimal-spectrum-and-flat-compactness-of-maximal-spectrum-1708.03199</loc><lastmod>2020-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zariski-compactness-of-minimal-spectrum-and-flat-compactness-of-maximal-spectrum-1708.03199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zariski-compactness-of-minimal-spectrum-and-flat-compactness-of-maximal-spectrum-1708.03199"/></url>
<url><loc>https://scifaro.com/en/abs/generalizations-of-the-direct-summand-theorem-over-ufd-s-for-some-bigenerated-extensions-and-an-asymptotic-version-of-koh-s-conjecture-1708.03393</loc><lastmod>2017-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizations-of-the-direct-summand-theorem-over-ufd-s-for-some-bigenerated-extensions-and-an-asymptotic-version-of-koh-s-conjecture-1708.03393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizations-of-the-direct-summand-theorem-over-ufd-s-for-some-bigenerated-extensions-and-an-asymptotic-version-of-koh-s-conjecture-1708.03393"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-non-vanishing-of-syzygies-of-segre-embeddings-1708.03803</loc><lastmod>2019-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-non-vanishing-of-syzygies-of-segre-embeddings-1708.03803"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-non-vanishing-of-syzygies-of-segre-embeddings-1708.03803"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-projective-dimension-for-complexes-1708.04455</loc><lastmod>2017-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-projective-dimension-for-complexes-1708.04455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-projective-dimension-for-complexes-1708.04455"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-integral-closures-quintasymptotic-primes-and-ideal-topologies-1708.04635</loc><lastmod>2017-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-integral-closures-quintasymptotic-primes-and-ideal-topologies-1708.04635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-integral-closures-quintasymptotic-primes-and-ideal-topologies-1708.04635"/></url>
<url><loc>https://scifaro.com/en/abs/on-g-invariant-gorenstein-ideals-1708.04760</loc><lastmod>2017-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-g-invariant-gorenstein-ideals-1708.04760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-g-invariant-gorenstein-ideals-1708.04760"/></url>
<url><loc>https://scifaro.com/en/abs/generators-of-reductions-of-ideals-in-a-local-noetherian-ring-with-finite-residue-field-1708.04770</loc><lastmod>2018-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-of-reductions-of-ideals-in-a-local-noetherian-ring-with-finite-residue-field-1708.04770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-of-reductions-of-ideals-in-a-local-noetherian-ring-with-finite-residue-field-1708.04770"/></url>
<url><loc>https://scifaro.com/en/abs/recursive-strategy-for-decomposing-betti-tables-of-complete-intersections-1708.05440</loc><lastmod>2022-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recursive-strategy-for-decomposing-betti-tables-of-complete-intersections-1708.05440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recursive-strategy-for-decomposing-betti-tables-of-complete-intersections-1708.05440"/></url>
<url><loc>https://scifaro.com/en/abs/extended-plus-closure-in-complete-local-rings-1708.05761</loc><lastmod>2018-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extended-plus-closure-in-complete-local-rings-1708.05761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extended-plus-closure-in-complete-local-rings-1708.05761"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-image-conjecture-for-locally-finite-derivations-and-mathcal-e-derivations-1708.05813</loc><lastmod>2022-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-image-conjecture-for-locally-finite-derivations-and-mathcal-e-derivations-1708.05813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-image-conjecture-for-locally-finite-derivations-and-mathcal-e-derivations-1708.05813"/></url>
<url><loc>https://scifaro.com/en/abs/normal-hyperplane-sections-of-normal-schemes-in-mixed-characteristic-1708.05877</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-hyperplane-sections-of-normal-schemes-in-mixed-characteristic-1708.05877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-hyperplane-sections-of-normal-schemes-in-mixed-characteristic-1708.05877"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-rees-property-of-powers-of-the-maximal-ideal-and-takahashi-dao-s-question-1708.06090</loc><lastmod>2017-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-rees-property-of-powers-of-the-maximal-ideal-and-takahashi-dao-s-question-1708.06090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-rees-property-of-powers-of-the-maximal-ideal-and-takahashi-dao-s-question-1708.06090"/></url>
<url><loc>https://scifaro.com/en/abs/on-lower-bounds-for-s-multiplicities-1708.06273</loc><lastmod>2017-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lower-bounds-for-s-multiplicities-1708.06273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lower-bounds-for-s-multiplicities-1708.06273"/></url>
<url><loc>https://scifaro.com/en/abs/the-s-multiplicity-function-of-2x2-determinantal-rings-1708.06287</loc><lastmod>2017-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-s-multiplicity-function-of-2x2-determinantal-rings-1708.06287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-s-multiplicity-function-of-2x2-determinantal-rings-1708.06287"/></url>
<url><loc>https://scifaro.com/en/abs/the-u-n-invariant-and-the-symbol-length-of-h-2-n-f-1708.06396</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-u-n-invariant-and-the-symbol-length-of-h-2-n-f-1708.06396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-u-n-invariant-and-the-symbol-length-of-h-2-n-f-1708.06396"/></url>
<url><loc>https://scifaro.com/en/abs/topological-noetherianity-for-algebraic-representations-of-infinite-rank-classical-groups-1708.06420</loc><lastmod>2017-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-noetherianity-for-algebraic-representations-of-infinite-rank-classical-groups-1708.06420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-noetherianity-for-algebraic-representations-of-infinite-rank-classical-groups-1708.06420"/></url>
<url><loc>https://scifaro.com/en/abs/a-dichotomy-for-the-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1708.06481</loc><lastmod>2018-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-dichotomy-for-the-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1708.06481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-dichotomy-for-the-injective-dimension-of-f-finite-f-modules-and-holonomic-d-modules-1708.06481"/></url>
<url><loc>https://scifaro.com/en/abs/on-strongly-flat-and-weakly-cotorsion-modules-1708.06833</loc><lastmod>2019-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strongly-flat-and-weakly-cotorsion-modules-1708.06833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strongly-flat-and-weakly-cotorsion-modules-1708.06833"/></url>
<url><loc>https://scifaro.com/en/abs/linear-polynomial-for-the-regularity-of-powers-of-edge-ideals-of-very-well-covered-graphs-1708.06883</loc><lastmod>2019-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-polynomial-for-the-regularity-of-powers-of-edge-ideals-of-very-well-covered-graphs-1708.06883"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-polynomial-for-the-regularity-of-powers-of-edge-ideals-of-very-well-covered-graphs-1708.06883"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-2-times-n-domino-tilings-1708.07054</loc><lastmod>2018-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-2-times-n-domino-tilings-1708.07054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-2-times-n-domino-tilings-1708.07054"/></url>
<url><loc>https://scifaro.com/en/abs/the-combinatorial-calculation-of-algebraic-invariants-of-a-monomial-ideal-1708.07255</loc><lastmod>2017-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-combinatorial-calculation-of-algebraic-invariants-of-a-monomial-ideal-1708.07255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-combinatorial-calculation-of-algebraic-invariants-of-a-monomial-ideal-1708.07255"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-k-partite-clutters-1708.07330</loc><lastmod>2017-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-k-partite-clutters-1708.07330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-edge-ideals-of-k-partite-clutters-1708.07330"/></url>
<url><loc>https://scifaro.com/en/abs/chordality-of-clutters-with-vertex-decomposable-dual-and-ascent-of-clutters-1708.07372</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chordality-of-clutters-with-vertex-decomposable-dual-and-ascent-of-clutters-1708.07372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chordality-of-clutters-with-vertex-decomposable-dual-and-ascent-of-clutters-1708.07372"/></url>
<url><loc>https://scifaro.com/en/abs/finite-numbers-of-initial-ideals-in-non-noetherian-polynomial-rings-1708.07680</loc><lastmod>2017-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-numbers-of-initial-ideals-in-non-noetherian-polynomial-rings-1708.07680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-numbers-of-initial-ideals-in-non-noetherian-polynomial-rings-1708.07680"/></url>
<url><loc>https://scifaro.com/en/abs/some-algorithms-related-to-the-jacobian-conjecture-1708.07936</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algorithms-related-to-the-jacobian-conjecture-1708.07936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algorithms-related-to-the-jacobian-conjecture-1708.07936"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-special-rings-by-delta-invariant-1708.07948</loc><lastmod>2018-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-special-rings-by-delta-invariant-1708.07948"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-special-rings-by-delta-invariant-1708.07948"/></url>
<url><loc>https://scifaro.com/en/abs/pointwise-minimal-extensions-1708.07983</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pointwise-minimal-extensions-1708.07983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pointwise-minimal-extensions-1708.07983"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-monoimal-ideals-by-iterated-mapping-cone-1708.08370</loc><lastmod>2017-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-monoimal-ideals-by-iterated-mapping-cone-1708.08370"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-monoimal-ideals-by-iterated-mapping-cone-1708.08370"/></url>
<url><loc>https://scifaro.com/en/abs/on-m-closed-graphs-1708.08864</loc><lastmod>2017-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-m-closed-graphs-1708.08864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-m-closed-graphs-1708.08864"/></url>
<url><loc>https://scifaro.com/en/abs/assassins-and-torsion-functors-1708.09008</loc><lastmod>2018-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/assassins-and-torsion-functors-1708.09008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/assassins-and-torsion-functors-1708.09008"/></url>
<url><loc>https://scifaro.com/en/abs/a-short-proof-of-the-bernstein-inequality-for-formal-power-series-1708.09102</loc><lastmod>2017-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-short-proof-of-the-bernstein-inequality-for-formal-power-series-1708.09102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-short-proof-of-the-bernstein-inequality-for-formal-power-series-1708.09102"/></url>
<url><loc>https://scifaro.com/en/abs/ap-ery-sets-of-shifted-numerical-monoids-1708.09527</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ap-ery-sets-of-shifted-numerical-monoids-1708.09527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ap-ery-sets-of-shifted-numerical-monoids-1708.09527"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-1709.00169</loc><lastmod>2019-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-1709.00169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-1709.00169"/></url>
<url><loc>https://scifaro.com/en/abs/noetherian-intersections-of-regular-local-rings-of-dimension-two-1709.00486</loc><lastmod>2017-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherian-intersections-of-regular-local-rings-of-dimension-two-1709.00486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherian-intersections-of-regular-local-rings-of-dimension-two-1709.00486"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-package-in-macaulay2-1709.00514</loc><lastmod>2017-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-package-in-macaulay2-1709.00514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-package-in-macaulay2-1709.00514"/></url>
<url><loc>https://scifaro.com/en/abs/a-zariski-nagata-theorem-for-smooth-mathbb-z-algebras-1709.01049</loc><lastmod>2020-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-zariski-nagata-theorem-for-smooth-mathbb-z-algebras-1709.01049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-zariski-nagata-theorem-for-smooth-mathbb-z-algebras-1709.01049"/></url>
<url><loc>https://scifaro.com/en/abs/a-fresh-look-into-monoid-rings-and-formal-power-series-rings-1709.01426</loc><lastmod>2018-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-fresh-look-into-monoid-rings-and-formal-power-series-rings-1709.01426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-fresh-look-into-monoid-rings-and-formal-power-series-rings-1709.01426"/></url>
<url><loc>https://scifaro.com/en/abs/factoring-in-the-chicken-mcnugget-monoid-1709.01606</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factoring-in-the-chicken-mcnugget-monoid-1709.01606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factoring-in-the-chicken-mcnugget-monoid-1709.01606"/></url>
<url><loc>https://scifaro.com/en/abs/puiseux-monoids-and-transfer-homomorphisms-1709.01693</loc><lastmod>2018-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/puiseux-monoids-and-transfer-homomorphisms-1709.01693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/puiseux-monoids-and-transfer-homomorphisms-1709.01693"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-stable-homology-with-respect-to-a-semidualizing-module-1709.02603</loc><lastmod>2017-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-stable-homology-with-respect-to-a-semidualizing-module-1709.02603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-stable-homology-with-respect-to-a-semidualizing-module-1709.02603"/></url>
<url><loc>https://scifaro.com/en/abs/linearly-presented-perfect-ideals-of-codimension-2-in-three-variables-1709.02633</loc><lastmod>2017-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearly-presented-perfect-ideals-of-codimension-2-in-three-variables-1709.02633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearly-presented-perfect-ideals-of-codimension-2-in-three-variables-1709.02633"/></url>
<url><loc>https://scifaro.com/en/abs/on-preservation-properties-and-a-special-algebraic-characterization-of-some-stronger-forms-of-the-noetherian-condition-1709.02748</loc><lastmod>2017-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-preservation-properties-and-a-special-algebraic-characterization-of-some-stronger-forms-of-the-noetherian-condition-1709.02748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-preservation-properties-and-a-special-algebraic-characterization-of-some-stronger-forms-of-the-noetherian-condition-1709.02748"/></url>
<url><loc>https://scifaro.com/en/abs/freiman-ideals-1709.02827</loc><lastmod>2017-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freiman-ideals-1709.02827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freiman-ideals-1709.02827"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03077</loc><lastmod>2017-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03077"/></url>
<url><loc>https://scifaro.com/en/abs/an-informal-overview-of-triples-and-systems-1709.03174</loc><lastmod>2018-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-informal-overview-of-triples-and-systems-1709.03174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-informal-overview-of-triples-and-systems-1709.03174"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-blowup-algebras-associated-to-three-dimensional-ferrers-diagrams-1709.03251</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-blowup-algebras-associated-to-three-dimensional-ferrers-diagrams-1709.03251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-blowup-algebras-associated-to-three-dimensional-ferrers-diagrams-1709.03251"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-ideals-over-a-module-1709.03268</loc><lastmod>2018-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-ideals-over-a-module-1709.03268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-ideals-over-a-module-1709.03268"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-completions-of-noncatenary-local-domains-and-noncatenary-local-ufds-1709.03825</loc><lastmod>2017-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-completions-of-noncatenary-local-domains-and-noncatenary-local-ufds-1709.03825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-completions-of-noncatenary-local-domains-and-noncatenary-local-ufds-1709.03825"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03882</loc><lastmod>2017-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-symbolic-powers-of-cover-ideals-of-graphs-1709.03882"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-betti-numbers-and-regularity-of-cover-ideals-of-certain-multipartite-graphs-1709.05055</loc><lastmod>2019-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-betti-numbers-and-regularity-of-cover-ideals-of-certain-multipartite-graphs-1709.05055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-betti-numbers-and-regularity-of-cover-ideals-of-certain-multipartite-graphs-1709.05055"/></url>
<url><loc>https://scifaro.com/en/abs/a-sheaf-on-the-second-spectrum-of-a-module-1709.05393</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sheaf-on-the-second-spectrum-of-a-module-1709.05393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sheaf-on-the-second-spectrum-of-a-module-1709.05393"/></url>
<url><loc>https://scifaro.com/en/abs/hankel-determinantal-rings-have-rational-singularities-1709.05685</loc><lastmod>2018-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hankel-determinantal-rings-have-rational-singularities-1709.05685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hankel-determinantal-rings-have-rational-singularities-1709.05685"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-prime-divisors-related-to-ext-regularity-of-powers-of-ideals-and-syzygy-modules-1709.05881</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-prime-divisors-related-to-ext-regularity-of-powers-of-ideals-and-syzygy-modules-1709.05881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-prime-divisors-related-to-ext-regularity-of-powers-of-ideals-and-syzygy-modules-1709.05881"/></url>
<url><loc>https://scifaro.com/en/abs/the-depth-of-the-rees-algebra-of-three-general-binary-forms-1709.05985</loc><lastmod>2017-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-depth-of-the-rees-algebra-of-three-general-binary-forms-1709.05985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-depth-of-the-rees-algebra-of-three-general-binary-forms-1709.05985"/></url>
<url><loc>https://scifaro.com/en/abs/on-asymptotic-depth-of-integral-closure-filtration-and-an-application-1709.06244</loc><lastmod>2017-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-asymptotic-depth-of-integral-closure-filtration-and-an-application-1709.06244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-asymptotic-depth-of-integral-closure-filtration-and-an-application-1709.06244"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-associate-primes-1709.06253</loc><lastmod>2019-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-associate-primes-1709.06253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-associate-primes-1709.06253"/></url>
<url><loc>https://scifaro.com/en/abs/riesz-space-valued-states-on-pseudo-mv-algebras-1709.06502</loc><lastmod>2017-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/riesz-space-valued-states-on-pseudo-mv-algebras-1709.06502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/riesz-space-valued-states-on-pseudo-mv-algebras-1709.06502"/></url>
<url><loc>https://scifaro.com/en/abs/abstract-sheaf-theory-1709.07364</loc><lastmod>2017-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-sheaf-theory-1709.07364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-sheaf-theory-1709.07364"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalized-binomial-edge-ideals-of-generalized-block-graphs-1709.07668</loc><lastmod>2017-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalized-binomial-edge-ideals-of-generalized-block-graphs-1709.07668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalized-binomial-edge-ideals-of-generalized-block-graphs-1709.07668"/></url>
<url><loc>https://scifaro.com/en/abs/singular-equivalences-of-commutative-noetherian-rings-and-reconstruction-of-singular-loci-1709.07929</loc><lastmod>2018-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singular-equivalences-of-commutative-noetherian-rings-and-reconstruction-of-singular-loci-1709.07929"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singular-equivalences-of-commutative-noetherian-rings-and-reconstruction-of-singular-loci-1709.07929"/></url>
<url><loc>https://scifaro.com/en/abs/linear-systems-over-localizations-of-rings-1709.08180</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-systems-over-localizations-of-rings-1709.08180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-systems-over-localizations-of-rings-1709.08180"/></url>
<url><loc>https://scifaro.com/en/abs/mathbb-p-1-gluing-for-local-complete-intersections-1709.08627</loc><lastmod>2019-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mathbb-p-1-gluing-for-local-complete-intersections-1709.08627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mathbb-p-1-gluing-for-local-complete-intersections-1709.08627"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-powers-of-edge-ideals-1709.08701</loc><lastmod>2018-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-powers-of-edge-ideals-1709.08701"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-powers-of-edge-ideals-1709.08701"/></url>
<url><loc>https://scifaro.com/en/abs/on-integer-images-of-max-plus-linear-mappings-1709.09022</loc><lastmod>2017-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-integer-images-of-max-plus-linear-mappings-1709.09022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-integer-images-of-max-plus-linear-mappings-1709.09022"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-the-apolar-ideals-of-the-determinant-and-permanent-1709.09286</loc><lastmod>2017-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-the-apolar-ideals-of-the-determinant-and-permanent-1709.09286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-the-apolar-ideals-of-the-determinant-and-permanent-1709.09286"/></url>
<url><loc>https://scifaro.com/en/abs/finitistic-test-ideals-on-numerically-mathbb-q-gorenstein-varieties-1709.09383</loc><lastmod>2018-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitistic-test-ideals-on-numerically-mathbb-q-gorenstein-varieties-1709.09383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitistic-test-ideals-on-numerically-mathbb-q-gorenstein-varieties-1709.09383"/></url>
<url><loc>https://scifaro.com/en/abs/an-alternative-approach-to-the-concept-of-separability-in-galois-theory-1709.09640</loc><lastmod>2017-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-alternative-approach-to-the-concept-of-separability-in-galois-theory-1709.09640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-alternative-approach-to-the-concept-of-separability-in-galois-theory-1709.09640"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-invariant-rings-1709.09894</loc><lastmod>2017-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-invariant-rings-1709.09894"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-invariant-rings-1709.09894"/></url>
<url><loc>https://scifaro.com/en/abs/rm-fp-n-injective-and-rm-fp-n-flat-covers-and-preenvelopes-and-gorenstein-ac-flat-covers-1709.10160</loc><lastmod>2017-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rm-fp-n-injective-and-rm-fp-n-flat-covers-and-preenvelopes-and-gorenstein-ac-flat-covers-1709.10160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rm-fp-n-injective-and-rm-fp-n-flat-covers-and-preenvelopes-and-gorenstein-ac-flat-covers-1709.10160"/></url>
<url><loc>https://scifaro.com/en/abs/the-monotone-catenary-degree-of-monoids-of-ideals-1709.10270</loc><lastmod>2017-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-monotone-catenary-degree-of-monoids-of-ideals-1709.10270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-monotone-catenary-degree-of-monoids-of-ideals-1709.10270"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-property-of-pinched-veronese-rings-1709.10461</loc><lastmod>2018-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-property-of-pinched-veronese-rings-1709.10461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-property-of-pinched-veronese-rings-1709.10461"/></url>
<url><loc>https://scifaro.com/en/abs/ext-and-local-cohomology-modules-of-face-rings-of-simplicial-posets-1710.00402</loc><lastmod>2017-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ext-and-local-cohomology-modules-of-face-rings-of-simplicial-posets-1710.00402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ext-and-local-cohomology-modules-of-face-rings-of-simplicial-posets-1710.00402"/></url>
<url><loc>https://scifaro.com/en/abs/fibers-of-rational-maps-and-jacobian-matrices-1710.00407</loc><lastmod>2021-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fibers-of-rational-maps-and-jacobian-matrices-1710.00407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fibers-of-rational-maps-and-jacobian-matrices-1710.00407"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-and-lyubeznik-numbers-of-f-pure-rings-1710.00462</loc><lastmod>2019-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-and-lyubeznik-numbers-of-f-pure-rings-1710.00462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-and-lyubeznik-numbers-of-f-pure-rings-1710.00462"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-sequences-for-gorenstein-rings-of-dimension-one-1710.00907</loc><lastmod>2018-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-sequences-for-gorenstein-rings-of-dimension-one-1710.00907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-sequences-for-gorenstein-rings-of-dimension-one-1710.00907"/></url>
<url><loc>https://scifaro.com/en/abs/random-numerical-semigroups-and-a-simplicial-complex-of-irreducible-semigroups-1710.00979</loc><lastmod>2017-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/random-numerical-semigroups-and-a-simplicial-complex-of-irreducible-semigroups-1710.00979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/random-numerical-semigroups-and-a-simplicial-complex-of-irreducible-semigroups-1710.00979"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-hilbert-samuel-multiplicities-and-reductions-of-zero-dimensional-ideals-of-cohen-macaulay-local-rings-1710.01435</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-hilbert-samuel-multiplicities-and-reductions-of-zero-dimensional-ideals-of-cohen-macaulay-local-rings-1710.01435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-hilbert-samuel-multiplicities-and-reductions-of-zero-dimensional-ideals-of-cohen-macaulay-local-rings-1710.01435"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-topology-of-valuation-theoretic-representations-of-integrally-closed-domains-1710.01774</loc><lastmod>2017-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-topology-of-valuation-theoretic-representations-of-integrally-closed-domains-1710.01774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-topology-of-valuation-theoretic-representations-of-integrally-closed-domains-1710.01774"/></url>
<url><loc>https://scifaro.com/en/abs/self-injective-commutative-rings-have-no-nontrivial-rigid-ideals-1710.01793</loc><lastmod>2017-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/self-injective-commutative-rings-have-no-nontrivial-rigid-ideals-1710.01793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/self-injective-commutative-rings-have-no-nontrivial-rigid-ideals-1710.01793"/></url>
<url><loc>https://scifaro.com/en/abs/differential-embedding-problems-over-laurent-series-fields-1710.02502</loc><lastmod>2018-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-embedding-problems-over-laurent-series-fields-1710.02502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-embedding-problems-over-laurent-series-fields-1710.02502"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-serre-s-condition-1710.02631</loc><lastmod>2018-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-serre-s-condition-1710.02631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-serre-s-condition-1710.02631"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-over-one-dimensional-cohen-macaulay-local-rings-1710.02673</loc><lastmod>2017-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-over-one-dimensional-cohen-macaulay-local-rings-1710.02673"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-cohen-macaulay-modules-over-one-dimensional-cohen-macaulay-local-rings-1710.02673"/></url>
<url><loc>https://scifaro.com/en/abs/equality-of-orthogonal-transvection-group-and-elementary-orthogonal-transvection-group-1710.02879</loc><lastmod>2017-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equality-of-orthogonal-transvection-group-and-elementary-orthogonal-transvection-group-1710.02879"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equality-of-orthogonal-transvection-group-and-elementary-orthogonal-transvection-group-1710.02879"/></url>
<url><loc>https://scifaro.com/en/abs/large-fields-in-differential-galois-theory-1710.03183</loc><lastmod>2023-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/large-fields-in-differential-galois-theory-1710.03183"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/large-fields-in-differential-galois-theory-1710.03183"/></url>
<url><loc>https://scifaro.com/en/abs/arf-good-semigroups-1710.03223</loc><lastmod>2017-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arf-good-semigroups-1710.03223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arf-good-semigroups-1710.03223"/></url>
<url><loc>https://scifaro.com/en/abs/semigroups-with-fixed-multiplicity-and-embedding-dimension-1710.03523</loc><lastmod>2017-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semigroups-with-fixed-multiplicity-and-embedding-dimension-1710.03523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semigroups-with-fixed-multiplicity-and-embedding-dimension-1710.03523"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-of-weighted-oriented-graphs-1710.03785</loc><lastmod>2020-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-of-weighted-oriented-graphs-1710.03785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-of-weighted-oriented-graphs-1710.03785"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-first-generalized-hilbert-coefficient-and-depth-of-associated-graded-rings-1710.03926</loc><lastmod>2017-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-first-generalized-hilbert-coefficient-and-depth-of-associated-graded-rings-1710.03926"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-first-generalized-hilbert-coefficient-and-depth-of-associated-graded-rings-1710.03926"/></url>
<url><loc>https://scifaro.com/en/abs/recursive-construction-of-primitive-polynomials-over-finite-fields-1710.04270</loc><lastmod>2019-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recursive-construction-of-primitive-polynomials-over-finite-fields-1710.04270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recursive-construction-of-primitive-polynomials-over-finite-fields-1710.04270"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-conjectures-of-murthy-1710.04281</loc><lastmod>2017-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-conjectures-of-murthy-1710.04281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-conjectures-of-murthy-1710.04281"/></url>
<url><loc>https://scifaro.com/en/abs/the-koszul-homology-algebra-of-the-second-veronese-is-generated-by-the-lowest-strand-1710.04293</loc><lastmod>2017-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-koszul-homology-algebra-of-the-second-veronese-is-generated-by-the-lowest-strand-1710.04293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-koszul-homology-algebra-of-the-second-veronese-is-generated-by-the-lowest-strand-1710.04293"/></url>
<url><loc>https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-lengths-in-numerical-monoids-1710.04388</loc><lastmod>2018-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-lengths-in-numerical-monoids-1710.04388"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-realization-theorem-for-sets-of-lengths-in-numerical-monoids-1710.04388"/></url>
<url><loc>https://scifaro.com/en/abs/mono-an-algebraic-study-of-torus-closures-1710.04614</loc><lastmod>2017-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mono-an-algebraic-study-of-torus-closures-1710.04614"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mono-an-algebraic-study-of-torus-closures-1710.04614"/></url>
<url><loc>https://scifaro.com/en/abs/hom-and-ext-revisited-1710.05123</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hom-and-ext-revisited-1710.05123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hom-and-ext-revisited-1710.05123"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-large-projective-dimension-1710.05124</loc><lastmod>2017-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-large-projective-dimension-1710.05124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-large-projective-dimension-1710.05124"/></url>
<url><loc>https://scifaro.com/en/abs/surjections-of-unit-groups-and-semi-inverses-1710.05492</loc><lastmod>2017-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/surjections-of-unit-groups-and-semi-inverses-1710.05492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/surjections-of-unit-groups-and-semi-inverses-1710.05492"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-prime-avoidance-1710.05496</loc><lastmod>2017-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-prime-avoidance-1710.05496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-prime-avoidance-1710.05496"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-binoids-1710.05761</loc><lastmod>2017-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-binoids-1710.05761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-binoids-1710.05761"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-powers-of-paths-and-cycles-1710.05996</loc><lastmod>2017-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-powers-of-paths-and-cycles-1710.05996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-powers-of-paths-and-cycles-1710.05996"/></url>
<url><loc>https://scifaro.com/en/abs/surjective-and-splitting-capacities-1710.06010</loc><lastmod>2018-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/surjective-and-splitting-capacities-1710.06010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/surjective-and-splitting-capacities-1710.06010"/></url>
<url><loc>https://scifaro.com/en/abs/morphisms-on-emv-algebras-and-their-applications-1710.06110</loc><lastmod>2017-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/morphisms-on-emv-algebras-and-their-applications-1710.06110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/morphisms-on-emv-algebras-and-their-applications-1710.06110"/></url>
<url><loc>https://scifaro.com/en/abs/on-star-power-conductor-domains-1710.06521</loc><lastmod>2017-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-star-power-conductor-domains-1710.06521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-star-power-conductor-domains-1710.06521"/></url>
<url><loc>https://scifaro.com/en/abs/sets-of-lengths-of-factorizations-of-integer-valued-polynomials-on-dedekind-domains-with-finite-residue-fields-1710.06783</loc><lastmod>2019-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sets-of-lengths-of-factorizations-of-integer-valued-polynomials-on-dedekind-domains-with-finite-residue-fields-1710.06783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sets-of-lengths-of-factorizations-of-integer-valued-polynomials-on-dedekind-domains-with-finite-residue-fields-1710.06783"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-affine-threefolds-a-simpler-case-1710.06853</loc><lastmod>2017-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-affine-threefolds-a-simpler-case-1710.06853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-affine-threefolds-a-simpler-case-1710.06853"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-the-minimal-free-resolution-of-semigroup-rings-obtained-by-gluing-1710.07237</loc><lastmod>2018-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-the-minimal-free-resolution-of-semigroup-rings-obtained-by-gluing-1710.07237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-the-minimal-free-resolution-of-semigroup-rings-obtained-by-gluing-1710.07237"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-huneke-and-wiegand-1710.07398</loc><lastmod>2020-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-huneke-and-wiegand-1710.07398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ideal-case-of-a-conjecture-of-huneke-and-wiegand-1710.07398"/></url>
<url><loc>https://scifaro.com/en/abs/poset-ideals-of-p-partitions-and-generalized-letterplace-and-determinantal-ideals-1710.07456</loc><lastmod>2018-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poset-ideals-of-p-partitions-and-generalized-letterplace-and-determinantal-ideals-1710.07456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poset-ideals-of-p-partitions-and-generalized-letterplace-and-determinantal-ideals-1710.07456"/></url>
<url><loc>https://scifaro.com/en/abs/dilatations-of-numerical-semigroups-1710.07586</loc><lastmod>2017-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dilatations-of-numerical-semigroups-1710.07586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dilatations-of-numerical-semigroups-1710.07586"/></url>
<url><loc>https://scifaro.com/en/abs/corrigendum-on-bounds-for-the-effective-differential-nullstellensatz-arxiv-1508-07508-1710.07632</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/corrigendum-on-bounds-for-the-effective-differential-nullstellensatz-arxiv-1508-07508-1710.07632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/corrigendum-on-bounds-for-the-effective-differential-nullstellensatz-arxiv-1508-07508-1710.07632"/></url>
<url><loc>https://scifaro.com/en/abs/localization-functors-and-cosupport-in-derived-categories-of-commutative-noetherian-rings-1710.08625</loc><lastmod>2018-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localization-functors-and-cosupport-in-derived-categories-of-commutative-noetherian-rings-1710.08625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localization-functors-and-cosupport-in-derived-categories-of-commutative-noetherian-rings-1710.08625"/></url>
<url><loc>https://scifaro.com/en/abs/fi-and-oi-modules-with-varying-coefficients-1710.09247</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fi-and-oi-modules-with-varying-coefficients-1710.09247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fi-and-oi-modules-with-varying-coefficients-1710.09247"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-semigroups-and-strongly-indispensable-free-resolutions-1710.09298</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-semigroups-and-strongly-indispensable-free-resolutions-1710.09298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-semigroups-and-strongly-indispensable-free-resolutions-1710.09298"/></url>
<url><loc>https://scifaro.com/en/abs/a-numerical-property-of-hilbert-functions-and-lex-segment-ideals-1710.09358</loc><lastmod>2018-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-numerical-property-of-hilbert-functions-and-lex-segment-ideals-1710.09358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-numerical-property-of-hilbert-functions-and-lex-segment-ideals-1710.09358"/></url>
<url><loc>https://scifaro.com/en/abs/quasilinear-quadratic-forms-and-function-fields-of-quadrics-1710.09692</loc><lastmod>2017-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasilinear-quadratic-forms-and-function-fields-of-quadrics-1710.09692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasilinear-quadratic-forms-and-function-fields-of-quadrics-1710.09692"/></url>
<url><loc>https://scifaro.com/en/abs/computations-over-local-rings-in-macaulay2-1710.09830</loc><lastmod>2017-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computations-over-local-rings-in-macaulay2-1710.09830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computations-over-local-rings-in-macaulay2-1710.09830"/></url>
<url><loc>https://scifaro.com/en/abs/duality-pairs-and-stable-module-categories-1710.09906</loc><lastmod>2017-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-pairs-and-stable-module-categories-1710.09906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-pairs-and-stable-module-categories-1710.09906"/></url>
<url><loc>https://scifaro.com/en/abs/resolving-subcategories-closed-under-certain-operations-and-a-conjecture-of-dao-and-takahashi-1710.10018</loc><lastmod>2017-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolving-subcategories-closed-under-certain-operations-and-a-conjecture-of-dao-and-takahashi-1710.10018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolving-subcategories-closed-under-certain-operations-and-a-conjecture-of-dao-and-takahashi-1710.10018"/></url>
<url><loc>https://scifaro.com/en/abs/support-and-vanishing-for-non-noetherian-rings-and-tensor-triangulated-categories-1710.10199</loc><lastmod>2017-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-and-vanishing-for-non-noetherian-rings-and-tensor-triangulated-categories-1710.10199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-and-vanishing-for-non-noetherian-rings-and-tensor-triangulated-categories-1710.10199"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-ideals-of-affine-sets-parameterized-by-odd-cycles-1710.11314</loc><lastmod>2017-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-ideals-of-affine-sets-parameterized-by-odd-cycles-1710.11314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-ideals-of-affine-sets-parameterized-by-odd-cycles-1710.11314"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-of-bivariate-sparse-polynomials-1710.11479</loc><lastmod>2018-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-bivariate-sparse-polynomials-1710.11479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-bivariate-sparse-polynomials-1710.11479"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-modules-over-cohen-macaulay-local-rings-with-minimal-multiplicity-1711.00652</loc><lastmod>2017-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-modules-over-cohen-macaulay-local-rings-with-minimal-multiplicity-1711.00652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-modules-over-cohen-macaulay-local-rings-with-minimal-multiplicity-1711.00652"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-homogeneous-polynomial-maps-h-and-keller-maps-x-h-with-3-le-rm-rk-j-h-le-4-1711.00904</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-homogeneous-polynomial-maps-h-and-keller-maps-x-h-with-3-le-rm-rk-j-h-le-4-1711.00904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-homogeneous-polynomial-maps-h-and-keller-maps-x-h-with-3-le-rm-rk-j-h-le-4-1711.00904"/></url>
<url><loc>https://scifaro.com/en/abs/on-determinantal-ideals-and-algebraic-dependence-1711.01106</loc><lastmod>2017-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-determinantal-ideals-and-algebraic-dependence-1711.01106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-determinantal-ideals-and-algebraic-dependence-1711.01106"/></url>
<url><loc>https://scifaro.com/en/abs/on-combinatorial-aspects-of-modules-over-commutative-rings-1711.01130</loc><lastmod>2017-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-combinatorial-aspects-of-modules-over-commutative-rings-1711.01130"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-combinatorial-aspects-of-modules-over-commutative-rings-1711.01130"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-hilbert-series-1711.01232</loc><lastmod>2018-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-hilbert-series-1711.01232"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-hilbert-series-1711.01232"/></url>
<url><loc>https://scifaro.com/en/abs/dual-of-faltings-theorems-on-finiteness-of-local-cohomology-1711.01579</loc><lastmod>2017-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-of-faltings-theorems-on-finiteness-of-local-cohomology-1711.01579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-of-faltings-theorems-on-finiteness-of-local-cohomology-1711.01579"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-h-polynomials-of-monomial-ideals-1711.02002</loc><lastmod>2017-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-monomial-ideals-1711.02002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-monomial-ideals-1711.02002"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-cohomology-of-pfaffian-thickenings-1711.02777</loc><lastmod>2019-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-cohomology-of-pfaffian-thickenings-1711.02777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-cohomology-of-pfaffian-thickenings-1711.02777"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-formula-for-the-space-of-relative-symmetric-polynomials-of-d-n-with-respect-to-any-irreducible-representation-1711.02849</loc><lastmod>2017-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-formula-for-the-space-of-relative-symmetric-polynomials-of-d-n-with-respect-to-any-irreducible-representation-1711.02849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-formula-for-the-space-of-relative-symmetric-polynomials-of-d-n-with-respect-to-any-irreducible-representation-1711.02849"/></url>
<url><loc>https://scifaro.com/en/abs/conjectures-and-computations-about-veronese-syzygies-1711.03513</loc><lastmod>2017-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conjectures-and-computations-about-veronese-syzygies-1711.03513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conjectures-and-computations-about-veronese-syzygies-1711.03513"/></url>
<url><loc>https://scifaro.com/en/abs/connectedness-and-lyubeznik-numbers-1711.03655</loc><lastmod>2017-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connectedness-and-lyubeznik-numbers-1711.03655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connectedness-and-lyubeznik-numbers-1711.03655"/></url>
<url><loc>https://scifaro.com/en/abs/derived-functors-of-differential-operators-1711.03960</loc><lastmod>2018-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-functors-of-differential-operators-1711.03960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-functors-of-differential-operators-1711.03960"/></url>
<url><loc>https://scifaro.com/en/abs/big-cohen-macaulay-modules-morphisms-of-perfect-complexes-and-intersection-theorems-in-local-algebra-1711.04052</loc><lastmod>2018-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-cohen-macaulay-modules-morphisms-of-perfect-complexes-and-intersection-theorems-in-local-algebra-1711.04052"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-cohen-macaulay-modules-morphisms-of-perfect-complexes-and-intersection-theorems-in-local-algebra-1711.04052"/></url>
<url><loc>https://scifaro.com/en/abs/graded-integral-domains-which-are-umt-domains-1711.04246</loc><lastmod>2017-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-integral-domains-which-are-umt-domains-1711.04246"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-integral-domains-which-are-umt-domains-1711.04246"/></url>
<url><loc>https://scifaro.com/en/abs/key-polynomials-and-minimal-pairs-1711.04296</loc><lastmod>2018-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/key-polynomials-and-minimal-pairs-1711.04296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/key-polynomials-and-minimal-pairs-1711.04296"/></url>
<url><loc>https://scifaro.com/en/abs/hypergraph-encodings-of-arbitrary-toric-ideals-1711.04354</loc><lastmod>2017-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hypergraph-encodings-of-arbitrary-toric-ideals-1711.04354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hypergraph-encodings-of-arbitrary-toric-ideals-1711.04354"/></url>
<url><loc>https://scifaro.com/en/abs/flat-maps-to-and-from-noetherian-rings-1711.04958</loc><lastmod>2017-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-maps-to-and-from-noetherian-rings-1711.04958"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-maps-to-and-from-noetherian-rings-1711.04958"/></url>
<url><loc>https://scifaro.com/en/abs/lifting-zero-dimensional-schemes-and-divided-powers-1711.05252</loc><lastmod>2019-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lifting-zero-dimensional-schemes-and-divided-powers-1711.05252"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lifting-zero-dimensional-schemes-and-divided-powers-1711.05252"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-generic-ideals-1711.05309</loc><lastmod>2017-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-generic-ideals-1711.05309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-generic-ideals-1711.05309"/></url>
<url><loc>https://scifaro.com/en/abs/descending-chains-of-semistar-operations-1711.05399</loc><lastmod>2017-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/descending-chains-of-semistar-operations-1711.05399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/descending-chains-of-semistar-operations-1711.05399"/></url>
<url><loc>https://scifaro.com/en/abs/pr-ufer-intersection-of-valuation-domains-of-a-field-of-rational-functions-1711.05485</loc><lastmod>2021-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pr-ufer-intersection-of-valuation-domains-of-a-field-of-rational-functions-1711.05485"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pr-ufer-intersection-of-valuation-domains-of-a-field-of-rational-functions-1711.05485"/></url>
<url><loc>https://scifaro.com/en/abs/stable-under-specialization-sets-and-cofiniteness-1711.05534</loc><lastmod>2018-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-under-specialization-sets-and-cofiniteness-1711.05534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-under-specialization-sets-and-cofiniteness-1711.05534"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-function-of-general-fat-points-in-mathbb-p-1-times-mathbb-p-1-1711.06193</loc><lastmod>2017-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-general-fat-points-in-mathbb-p-1-times-mathbb-p-1-1711.06193"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-function-of-general-fat-points-in-mathbb-p-1-times-mathbb-p-1-1711.06193"/></url>
<url><loc>https://scifaro.com/en/abs/a-filtration-of-the-sally-module-and-the-first-normal-hilbert-coefficient-1711.06868</loc><lastmod>2017-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-filtration-of-the-sally-module-and-the-first-normal-hilbert-coefficient-1711.06868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-filtration-of-the-sally-module-and-the-first-normal-hilbert-coefficient-1711.06868"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-an-inequality-of-lech-relating-multiplicity-and-colength-1711.06951</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-an-inequality-of-lech-relating-multiplicity-and-colength-1711.06951"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-an-inequality-of-lech-relating-multiplicity-and-colength-1711.06951"/></url>
<url><loc>https://scifaro.com/en/abs/systems-of-sets-of-lengths-of-puiseux-monoids-1711.06961</loc><lastmod>2017-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/systems-of-sets-of-lengths-of-puiseux-monoids-1711.06961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/systems-of-sets-of-lengths-of-puiseux-monoids-1711.06961"/></url>
<url><loc>https://scifaro.com/en/abs/differential-symmetric-signature-in-high-dimension-1711.07239</loc><lastmod>2018-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-symmetric-signature-in-high-dimension-1711.07239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-symmetric-signature-in-high-dimension-1711.07239"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-invariants-of-pseudoreflection-groups-and-regular-graded-algebras-1711.08201</loc><lastmod>2022-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-invariants-of-pseudoreflection-groups-and-regular-graded-algebras-1711.08201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-invariants-of-pseudoreflection-groups-and-regular-graded-algebras-1711.08201"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-ideals-associated-to-c-4-2k-2-free-graphs-1711.08535</loc><lastmod>2020-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-ideals-associated-to-c-4-2k-2-free-graphs-1711.08535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-ideals-associated-to-c-4-2k-2-free-graphs-1711.08535"/></url>
<url><loc>https://scifaro.com/en/abs/the-fiber-cone-of-a-monomial-ideal-in-two-variables-1711.08775</loc><lastmod>2017-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-fiber-cone-of-a-monomial-ideal-in-two-variables-1711.08775"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-fiber-cone-of-a-monomial-ideal-in-two-variables-1711.08775"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-depth-functions-of-cover-ideals-of-balanced-hypergraphs-1711.09178</loc><lastmod>2017-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-depth-functions-of-cover-ideals-of-balanced-hypergraphs-1711.09178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-depth-functions-of-cover-ideals-of-balanced-hypergraphs-1711.09178"/></url>
<url><loc>https://scifaro.com/en/abs/the-bi-canonical-degree-of-a-cohen-macaulay-ring-1711.09480</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-bi-canonical-degree-of-a-cohen-macaulay-ring-1711.09480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-bi-canonical-degree-of-a-cohen-macaulay-ring-1711.09480"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-s-syzygy-theorem-for-monomial-ideals-1711.09999</loc><lastmod>2017-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-s-syzygy-theorem-for-monomial-ideals-1711.09999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-s-syzygy-theorem-for-monomial-ideals-1711.09999"/></url>
<url><loc>https://scifaro.com/en/abs/random-monomial-ideals-macaulay2-package-1711.10075</loc><lastmod>2019-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/random-monomial-ideals-macaulay2-package-1711.10075"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/random-monomial-ideals-macaulay2-package-1711.10075"/></url>
<url><loc>https://scifaro.com/en/abs/new-classes-of-examples-satisfying-the-three-matrix-analog-of-gerstenhaber-s-theorem-1711.10109</loc><lastmod>2017-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-classes-of-examples-satisfying-the-three-matrix-analog-of-gerstenhaber-s-theorem-1711.10109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-classes-of-examples-satisfying-the-three-matrix-analog-of-gerstenhaber-s-theorem-1711.10109"/></url>
<url><loc>https://scifaro.com/en/abs/on-fuchs-problem-about-the-group-of-units-of-a-ring-1711.10365</loc><lastmod>2018-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-fuchs-problem-about-the-group-of-units-of-a-ring-1711.10365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-fuchs-problem-about-the-group-of-units-of-a-ring-1711.10365"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-multiplicity-of-tangent-cones-of-monomial-curves-1711.11149</loc><lastmod>2019-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-multiplicity-of-tangent-cones-of-monomial-curves-1711.11149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-multiplicity-of-tangent-cones-of-monomial-curves-1711.11149"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dimension-of-schur-multiplier-of-lie-algebras-of-maximal-class-1712.00261</loc><lastmod>2021-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dimension-of-schur-multiplier-of-lie-algebras-of-maximal-class-1712.00261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dimension-of-schur-multiplier-of-lie-algebras-of-maximal-class-1712.00261"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-and-continuous-closure-1712.00337</loc><lastmod>2017-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-and-continuous-closure-1712.00337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-and-continuous-closure-1712.00337"/></url>
<url><loc>https://scifaro.com/en/abs/footprint-and-minimum-distance-functions-1712.00387</loc><lastmod>2019-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/footprint-and-minimum-distance-functions-1712.00387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/footprint-and-minimum-distance-functions-1712.00387"/></url>
<url><loc>https://scifaro.com/en/abs/t-clique-ideal-and-t-independence-ideal-of-a-graph-1712.00583</loc><lastmod>2017-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/t-clique-ideal-and-t-independence-ideal-of-a-graph-1712.00583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/t-clique-ideal-and-t-independence-ideal-of-a-graph-1712.00583"/></url>
<url><loc>https://scifaro.com/en/abs/rings-with-canonical-reduction-1712.00755</loc><lastmod>2019-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-with-canonical-reduction-1712.00755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-with-canonical-reduction-1712.00755"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-local-k-elasticities-of-puiseux-monoids-1712.00837</loc><lastmod>2018-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-local-k-elasticities-of-puiseux-monoids-1712.00837"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-local-k-elasticities-of-puiseux-monoids-1712.00837"/></url>
<url><loc>https://scifaro.com/en/abs/second-representable-modules-over-commutative-rings-1712.00845</loc><lastmod>2017-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/second-representable-modules-over-commutative-rings-1712.00845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/second-representable-modules-over-commutative-rings-1712.00845"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-edge-ideals-and-their-powers-1712.00887</loc><lastmod>2022-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-edge-ideals-and-their-powers-1712.00887"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-edge-ideals-and-their-powers-1712.00887"/></url>
<url><loc>https://scifaro.com/en/abs/computations-involving-symbolic-powers-1712.01440</loc><lastmod>2019-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computations-involving-symbolic-powers-1712.01440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computations-involving-symbolic-powers-1712.01440"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-properties-of-gorenstein-graded-algebras-associated-to-the-ap-ery-set-of-a-numerical-semigroup-1712.01569</loc><lastmod>2018-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-of-gorenstein-graded-algebras-associated-to-the-ap-ery-set-of-a-numerical-semigroup-1712.01569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-of-gorenstein-graded-algebras-associated-to-the-ap-ery-set-of-a-numerical-semigroup-1712.01569"/></url>
<url><loc>https://scifaro.com/en/abs/de-noetherizing-cohen-macaulay-rings-1712.01753</loc><lastmod>2017-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-noetherizing-cohen-macaulay-rings-1712.01753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-noetherizing-cohen-macaulay-rings-1712.01753"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-de-heitmann-des-treillis-distributifs-et-des-anneaux-commutatifs-1712.01958</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-de-heitmann-des-treillis-distributifs-et-des-anneaux-commutatifs-1712.01958"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-de-heitmann-des-treillis-distributifs-et-des-anneaux-commutatifs-1712.01958"/></url>
<url><loc>https://scifaro.com/en/abs/legendre-polynomials-roots-and-the-f-pure-threshold-of-bivariate-forms-1712.01979</loc><lastmod>2022-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/legendre-polynomials-roots-and-the-f-pure-threshold-of-bivariate-forms-1712.01979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/legendre-polynomials-roots-and-the-f-pure-threshold-of-bivariate-forms-1712.01979"/></url>
<url><loc>https://scifaro.com/en/abs/subrings-of-finite-commutative-rings-1712.02025</loc><lastmod>2017-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subrings-of-finite-commutative-rings-1712.02025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subrings-of-finite-commutative-rings-1712.02025"/></url>
<url><loc>https://scifaro.com/en/abs/on-minimal-extensions-of-rings-and-applications-1712.02026</loc><lastmod>2017-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-minimal-extensions-of-rings-and-applications-1712.02026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-minimal-extensions-of-rings-and-applications-1712.02026"/></url>
<url><loc>https://scifaro.com/en/abs/edge-rings-with-3-linear-resolutions-1712.03504</loc><lastmod>2020-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-rings-with-3-linear-resolutions-1712.03504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-rings-with-3-linear-resolutions-1712.03504"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-1712.03663</loc><lastmod>2020-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-1712.03663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-1712.03663"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rees-dilworth-and-matsumura-number-1712.03828</loc><lastmod>2018-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rees-dilworth-and-matsumura-number-1712.03828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rees-dilworth-and-matsumura-number-1712.03828"/></url>
<url><loc>https://scifaro.com/en/abs/quotients-by-connected-solvable-groups-1712.03838</loc><lastmod>2017-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quotients-by-connected-solvable-groups-1712.03838"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quotients-by-connected-solvable-groups-1712.03838"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-of-dynkin-format-and-the-licci-property-of-grade-3-perfect-ideals-1712.04016</loc><lastmod>2019-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-of-dynkin-format-and-the-licci-property-of-grade-3-perfect-ideals-1712.04016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-of-dynkin-format-and-the-licci-property-of-grade-3-perfect-ideals-1712.04016"/></url>
<url><loc>https://scifaro.com/en/abs/vandermonde-determinantal-ideals-1712.04262</loc><lastmod>2018-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vandermonde-determinantal-ideals-1712.04262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vandermonde-determinantal-ideals-1712.04262"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-rings-which-admits-some-special-type-of-polynomial-functions-1712.04340</loc><lastmod>2017-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-rings-which-admits-some-special-type-of-polynomial-functions-1712.04340"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-rings-which-admits-some-special-type-of-polynomial-functions-1712.04340"/></url>
<url><loc>https://scifaro.com/en/abs/betti-table-stabilization-of-homogeneous-monomial-ideals-1712.04411</loc><lastmod>2017-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-table-stabilization-of-homogeneous-monomial-ideals-1712.04411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-table-stabilization-of-homogeneous-monomial-ideals-1712.04411"/></url>
<url><loc>https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-going-up-going-down-1712.04725</loc><lastmod>2017-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-going-up-going-down-1712.04725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-going-up-going-down-1712.04725"/></url>
<url><loc>https://scifaro.com/en/abs/constructions-cach-ees-en-alg-ebre-abstraite-dimension-de-krull-going-up-going-down-revised-version-2008-1712.04728</loc><lastmod>2018-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructions-cach-ees-en-alg-ebre-abstraite-dimension-de-krull-going-up-going-down-revised-version-2008-1712.04728"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructions-cach-ees-en-alg-ebre-abstraite-dimension-de-krull-going-up-going-down-revised-version-2008-1712.04728"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-number-and-minimum-genus-of-numerical-semigroups-with-fixed-multiplicity-and-embedding-dimension-1712.05220</loc><lastmod>2017-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-number-and-minimum-genus-of-numerical-semigroups-with-fixed-multiplicity-and-embedding-dimension-1712.05220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-number-and-minimum-genus-of-numerical-semigroups-with-fixed-multiplicity-and-embedding-dimension-1712.05220"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-with-given-hilbert-polynomials-1712.05886</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-with-given-hilbert-polynomials-1712.05886"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-with-given-hilbert-polynomials-1712.05886"/></url>
<url><loc>https://scifaro.com/en/abs/euler-cycles-and-mennicke-symbols-1712.06162</loc><lastmod>2018-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/euler-cycles-and-mennicke-symbols-1712.06162"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/euler-cycles-and-mennicke-symbols-1712.06162"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-tables-of-ideals-of-cycle-graphs-1712.06455</loc><lastmod>2019-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-tables-of-ideals-of-cycle-graphs-1712.06455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-tables-of-ideals-of-cycle-graphs-1712.06455"/></url>
<url><loc>https://scifaro.com/en/abs/factoriality-and-class-groups-of-cluster-algebras-1712.06512</loc><lastmod>2026-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factoriality-and-class-groups-of-cluster-algebras-1712.06512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factoriality-and-class-groups-of-cluster-algebras-1712.06512"/></url>
<url><loc>https://scifaro.com/en/abs/star-super-potent-domains-1712.06725</loc><lastmod>2017-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-super-potent-domains-1712.06725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-super-potent-domains-1712.06725"/></url>
<url><loc>https://scifaro.com/en/abs/on-arithmetical-numerical-monoids-with-some-generators-omitted-1712.06741</loc><lastmod>2017-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-arithmetical-numerical-monoids-with-some-generators-omitted-1712.06741"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-arithmetical-numerical-monoids-with-some-generators-omitted-1712.06741"/></url>
<url><loc>https://scifaro.com/en/abs/planar-outerplanar-and-ring-graph-of-the-intersection-graph-1712.06993</loc><lastmod>2017-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/planar-outerplanar-and-ring-graph-of-the-intersection-graph-1712.06993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/planar-outerplanar-and-ring-graph-of-the-intersection-graph-1712.06993"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-local-global-principle-for-the-in-dimension-bf-n-of-local-cohomology-modules-1712.07580</loc><lastmod>2017-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-in-dimension-bf-n-of-local-cohomology-modules-1712.07580"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-local-global-principle-for-the-in-dimension-bf-n-of-local-cohomology-modules-1712.07580"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-complex-over-skew-polynomial-rings-1712.07836</loc><lastmod>2017-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-complex-over-skew-polynomial-rings-1712.07836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-complex-over-skew-polynomial-rings-1712.07836"/></url>
<url><loc>https://scifaro.com/en/abs/well-ordered-valuations-on-rational-function-fields-in-two-variables-1712.08325</loc><lastmod>2018-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/well-ordered-valuations-on-rational-function-fields-in-two-variables-1712.08325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/well-ordered-valuations-on-rational-function-fields-in-two-variables-1712.08325"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-local-global-principle-and-annihilator-theorem-for-the-finiteness-dimensions-1712.09067</loc><lastmod>2018-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-local-global-principle-and-annihilator-theorem-for-the-finiteness-dimensions-1712.09067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-local-global-principle-and-annihilator-theorem-for-the-finiteness-dimensions-1712.09067"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-invariant-rings-ii-1712.09197</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-invariant-rings-ii-1712.09197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-invariant-rings-ii-1712.09197"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-d-modules-on-binary-cubic-forms-1712.09932</loc><lastmod>2017-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-d-modules-on-binary-cubic-forms-1712.09932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-d-modules-on-binary-cubic-forms-1712.09932"/></url>
<url><loc>https://scifaro.com/en/abs/homological-invariants-of-determinantal-thickenings-1712.09938</loc><lastmod>2017-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-invariants-of-determinantal-thickenings-1712.09938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-invariants-of-determinantal-thickenings-1712.09938"/></url>
<url><loc>https://scifaro.com/en/abs/about-multiplicities-and-applications-to-bezout-numbers-1712.10144</loc><lastmod>2018-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-multiplicities-and-applications-to-bezout-numbers-1712.10144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-multiplicities-and-applications-to-bezout-numbers-1712.10144"/></url>
<url><loc>https://scifaro.com/en/abs/about-a-variation-of-local-cohomology-1712.10146</loc><lastmod>2021-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-a-variation-of-local-cohomology-1712.10146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-a-variation-of-local-cohomology-1712.10146"/></url>
<url><loc>https://scifaro.com/en/abs/common-slots-of-bilinear-and-quadratic-pfister-forms-1712.10178</loc><lastmod>2018-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/common-slots-of-bilinear-and-quadratic-pfister-forms-1712.10178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/common-slots-of-bilinear-and-quadratic-pfister-forms-1712.10178"/></url>
<url><loc>https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-of-distributive-lattices-and-commutative-rings-1801.00097</loc><lastmod>2018-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-of-distributive-lattices-and-commutative-rings-1801.00097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hidden-constructions-in-abstract-algebra-krull-dimension-of-distributive-lattices-and-commutative-rings-1801.00097"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-for-numerical-semigroup-rings-1801.00153</loc><lastmod>2020-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-for-numerical-semigroup-rings-1801.00153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-for-numerical-semigroup-rings-1801.00153"/></url>
<url><loc>https://scifaro.com/en/abs/pure-minimal-chain-complexes-1801.00302</loc><lastmod>2018-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pure-minimal-chain-complexes-1801.00302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pure-minimal-chain-complexes-1801.00302"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-almost-complete-intersections-1801.00763</loc><lastmod>2018-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-almost-complete-intersections-1801.00763"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-almost-complete-intersections-1801.00763"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-stories-from-one-and-from-the-other-pockets-1801.01692</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-stories-from-one-and-from-the-other-pockets-1801.01692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-stories-from-one-and-from-the-other-pockets-1801.01692"/></url>
<url><loc>https://scifaro.com/en/abs/an-asymptotic-bound-for-castelnuovo-mumford-regularity-of-certain-ext-modules-over-graded-complete-intersection-rings-1801.01864</loc><lastmod>2019-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-asymptotic-bound-for-castelnuovo-mumford-regularity-of-certain-ext-modules-over-graded-complete-intersection-rings-1801.01864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-asymptotic-bound-for-castelnuovo-mumford-regularity-of-certain-ext-modules-over-graded-complete-intersection-rings-1801.01864"/></url>
<url><loc>https://scifaro.com/en/abs/cluster-algebra-structures-on-poisson-nilpotent-algebras-1801.01963</loc><lastmod>2018-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cluster-algebra-structures-on-poisson-nilpotent-algebras-1801.01963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cluster-algebra-structures-on-poisson-nilpotent-algebras-1801.01963"/></url>
<url><loc>https://scifaro.com/en/abs/a-construction-of-sequentially-cohen-macaulay-graphs-1801.01975</loc><lastmod>2018-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-construction-of-sequentially-cohen-macaulay-graphs-1801.01975"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-construction-of-sequentially-cohen-macaulay-graphs-1801.01975"/></url>
<url><loc>https://scifaro.com/en/abs/divisibility-classes-are-seldom-closed-under-flat-covers-1801.02260</loc><lastmod>2018-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisibility-classes-are-seldom-closed-under-flat-covers-1801.02260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisibility-classes-are-seldom-closed-under-flat-covers-1801.02260"/></url>
<url><loc>https://scifaro.com/en/abs/elementary-matrix-factorizations-over-b-ezout-domains-1801.02369</loc><lastmod>2018-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-matrix-factorizations-over-b-ezout-domains-1801.02369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-matrix-factorizations-over-b-ezout-domains-1801.02369"/></url>
<url><loc>https://scifaro.com/en/abs/on-carlson-s-depth-conjecture-1801.02491</loc><lastmod>2018-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-carlson-s-depth-conjecture-1801.02491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-carlson-s-depth-conjecture-1801.02491"/></url>
<url><loc>https://scifaro.com/en/abs/on-monomial-ideals-and-their-socles-1801.02644</loc><lastmod>2018-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monomial-ideals-and-their-socles-1801.02644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monomial-ideals-and-their-socles-1801.02644"/></url>
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<url><loc>https://scifaro.com/en/abs/cancellation-of-homothetic-modules-1801.02984</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-of-homothetic-modules-1801.02984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-of-homothetic-modules-1801.02984"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-bresinsky-s-curves-in-mathbb-a-4-1801.03054</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-bresinsky-s-curves-in-mathbb-a-4-1801.03054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-bresinsky-s-curves-in-mathbb-a-4-1801.03054"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-termination-of-the-general-xl-algorithm-and-ordinary-multinomials-1801.04165</loc><lastmod>2019-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-termination-of-the-general-xl-algorithm-and-ordinary-multinomials-1801.04165"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-termination-of-the-general-xl-algorithm-and-ordinary-multinomials-1801.04165"/></url>
<url><loc>https://scifaro.com/en/abs/cosupports-and-minimal-pure-injective-resolutions-of-affine-rings-1801.04476</loc><lastmod>2019-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cosupports-and-minimal-pure-injective-resolutions-of-affine-rings-1801.04476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cosupports-and-minimal-pure-injective-resolutions-of-affine-rings-1801.04476"/></url>
<url><loc>https://scifaro.com/en/abs/s-almost-perfect-commutative-rings-1801.04820</loc><lastmod>2019-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-almost-perfect-commutative-rings-1801.04820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-almost-perfect-commutative-rings-1801.04820"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-the-frobenius-test-exponents-1801.04827</loc><lastmod>2018-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-the-frobenius-test-exponents-1801.04827"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-the-frobenius-test-exponents-1801.04827"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-the-tangent-cones-of-gorenstein-monomial-curves-1801.04956</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-the-tangent-cones-of-gorenstein-monomial-curves-1801.04956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-the-tangent-cones-of-gorenstein-monomial-curves-1801.04956"/></url>
<url><loc>https://scifaro.com/en/abs/the-relevance-of-freiman-s-theorem-for-combinatorial-commutative-algebra-1801.05129</loc><lastmod>2018-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-relevance-of-freiman-s-theorem-for-combinatorial-commutative-algebra-1801.05129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-relevance-of-freiman-s-theorem-for-combinatorial-commutative-algebra-1801.05129"/></url>
<url><loc>https://scifaro.com/en/abs/local-m-adic-constancy-of-f-pure-thresholds-and-test-ideals-1801.05506</loc><lastmod>2018-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-m-adic-constancy-of-f-pure-thresholds-and-test-ideals-1801.05506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-m-adic-constancy-of-f-pure-thresholds-and-test-ideals-1801.05506"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-about-irreducibility-of-a-resultant-1801.05714</loc><lastmod>2018-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-about-irreducibility-of-a-resultant-1801.05714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-about-irreducibility-of-a-resultant-1801.05714"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-modulo-a-prime-1801.06112</loc><lastmod>2019-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-modulo-a-prime-1801.06112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-modulo-a-prime-1801.06112"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-gr-obner-bases-of-the-rees-algebra-of-edge-ideals-of-bipartite-graphs-1801.06731</loc><lastmod>2018-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-gr-obner-bases-of-the-rees-algebra-of-edge-ideals-of-bipartite-graphs-1801.06731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-gr-obner-bases-of-the-rees-algebra-of-edge-ideals-of-bipartite-graphs-1801.06731"/></url>
<url><loc>https://scifaro.com/en/abs/on-semigroup-algebras-with-rational-exponents-1801.06779</loc><lastmod>2021-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-semigroup-algebras-with-rational-exponents-1801.06779"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-semigroup-algebras-with-rational-exponents-1801.06779"/></url>
<url><loc>https://scifaro.com/en/abs/density-function-for-the-second-coefficient-of-the-hilbert-kunz-function-1801.06977</loc><lastmod>2018-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/density-function-for-the-second-coefficient-of-the-hilbert-kunz-function-1801.06977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/density-function-for-the-second-coefficient-of-the-hilbert-kunz-function-1801.06977"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-tiny-squares-1801.07672</loc><lastmod>2021-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-tiny-squares-1801.07672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-tiny-squares-1801.07672"/></url>
<url><loc>https://scifaro.com/en/abs/cominimaxness-with-respect-to-ideals-of-dimension-one-1801.07760</loc><lastmod>2018-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cominimaxness-with-respect-to-ideals-of-dimension-one-1801.07760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cominimaxness-with-respect-to-ideals-of-dimension-one-1801.07760"/></url>
<url><loc>https://scifaro.com/en/abs/hartshorne-s-questions-and-weakly-cofiniteness-1801.07768</loc><lastmod>2018-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hartshorne-s-questions-and-weakly-cofiniteness-1801.07768"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hartshorne-s-questions-and-weakly-cofiniteness-1801.07768"/></url>
<url><loc>https://scifaro.com/en/abs/lovasz-saks-schrijver-ideals-and-coordinate-sections-of-determinantal-varieties-1801.07916</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lovasz-saks-schrijver-ideals-and-coordinate-sections-of-determinantal-varieties-1801.07916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lovasz-saks-schrijver-ideals-and-coordinate-sections-of-determinantal-varieties-1801.07916"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-maximal-graded-shifts-of-ideals-and-modules-1801.08194</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-maximal-graded-shifts-of-ideals-and-modules-1801.08194"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-maximal-graded-shifts-of-ideals-and-modules-1801.08194"/></url>
<url><loc>https://scifaro.com/en/abs/the-projective-dimension-of-three-cubics-is-at-most-5-1801.08195</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-projective-dimension-of-three-cubics-is-at-most-5-1801.08195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-projective-dimension-of-three-cubics-is-at-most-5-1801.08195"/></url>
<url><loc>https://scifaro.com/en/abs/modules-of-infinite-regularity-over-commutative-graded-rings-1801.08207</loc><lastmod>2018-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-of-infinite-regularity-over-commutative-graded-rings-1801.08207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-of-infinite-regularity-over-commutative-graded-rings-1801.08207"/></url>
<url><loc>https://scifaro.com/en/abs/fast-algorithm-for-calculating-the-minimal-annihilating-polynomials-of-matrices-via-pseudo-annihilating-polynomials-1801.08437</loc><lastmod>2018-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fast-algorithm-for-calculating-the-minimal-annihilating-polynomials-of-matrices-via-pseudo-annihilating-polynomials-1801.08437"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fast-algorithm-for-calculating-the-minimal-annihilating-polynomials-of-matrices-via-pseudo-annihilating-polynomials-1801.08437"/></url>
<url><loc>https://scifaro.com/en/abs/p-bases-and-differential-operators-on-varieties-defined-over-a-non-perfect-field-1801.08458</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/p-bases-and-differential-operators-on-varieties-defined-over-a-non-perfect-field-1801.08458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/p-bases-and-differential-operators-on-varieties-defined-over-a-non-perfect-field-1801.08458"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-linear-translators-giving-rise-to-new-infinite-classes-of-permutations-and-bent-functions-1801.08460</loc><lastmod>2018-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-linear-translators-giving-rise-to-new-infinite-classes-of-permutations-and-bent-functions-1801.08460"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-linear-translators-giving-rise-to-new-infinite-classes-of-permutations-and-bent-functions-1801.08460"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-polynomials-in-upper-bound-semirings-1801.08882</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-polynomials-in-upper-bound-semirings-1801.08882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-polynomials-in-upper-bound-semirings-1801.08882"/></url>
<url><loc>https://scifaro.com/en/abs/big-polynomial-rings-and-stillman-s-conjecture-1801.09852</loc><lastmod>2022-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-polynomial-rings-and-stillman-s-conjecture-1801.09852"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-polynomial-rings-and-stillman-s-conjecture-1801.09852"/></url>
<url><loc>https://scifaro.com/en/abs/perfectoid-spaces-and-the-homological-conjectures-1801.10006</loc><lastmod>2018-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfectoid-spaces-and-the-homological-conjectures-1801.10006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfectoid-spaces-and-the-homological-conjectures-1801.10006"/></url>
<url><loc>https://scifaro.com/en/abs/weak-functoriality-of-cohen-macaulay-algebras-1801.10010</loc><lastmod>2018-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weak-functoriality-of-cohen-macaulay-algebras-1801.10010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weak-functoriality-of-cohen-macaulay-algebras-1801.10010"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-under-composition-survey-paper-1801.10201</loc><lastmod>2018-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-under-composition-survey-paper-1801.10201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-under-composition-survey-paper-1801.10201"/></url>
<url><loc>https://scifaro.com/en/abs/applications-and-homological-properties-of-local-rings-with-decomposable-maximal-ideals-1802.00307</loc><lastmod>2018-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/applications-and-homological-properties-of-local-rings-with-decomposable-maximal-ideals-1802.00307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/applications-and-homological-properties-of-local-rings-with-decomposable-maximal-ideals-1802.00307"/></url>
<url><loc>https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-conductor-1802.00809</loc><lastmod>2018-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-conductor-1802.00809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-conductor-1802.00809"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-algebraic-and-arithmetic-structure-of-the-monoid-of-product-one-sequences-1802.00991</loc><lastmod>2018-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-algebraic-and-arithmetic-structure-of-the-monoid-of-product-one-sequences-1802.00991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-algebraic-and-arithmetic-structure-of-the-monoid-of-product-one-sequences-1802.00991"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-of-neural-codes-1802.01251</loc><lastmod>2018-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-of-neural-codes-1802.01251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-of-neural-codes-1802.01251"/></url>
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<url><loc>https://scifaro.com/en/abs/asymptotic-invariants-of-ideals-with-noetherian-symbolic-rees-algebra-and-applications-to-cover-ideals-1802.01884</loc><lastmod>2019-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-invariants-of-ideals-with-noetherian-symbolic-rees-algebra-and-applications-to-cover-ideals-1802.01884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-invariants-of-ideals-with-noetherian-symbolic-rees-algebra-and-applications-to-cover-ideals-1802.01884"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-local-cohomology-spectral-sequences-1802.02025</loc><lastmod>2022-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-local-cohomology-spectral-sequences-1802.02025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-local-cohomology-spectral-sequences-1802.02025"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-generated-by-concatenation-of-arithmetic-sequences-1802.02564</loc><lastmod>2020-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-generated-by-concatenation-of-arithmetic-sequences-1802.02564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-generated-by-concatenation-of-arithmetic-sequences-1802.02564"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-powers-1802.02705</loc><lastmod>2019-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-powers-1802.02705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-powers-1802.02705"/></url>
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<url><loc>https://scifaro.com/en/abs/vanishing-ideals-of-binary-hamming-spheres-1802.02875</loc><lastmod>2021-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-ideals-of-binary-hamming-spheres-1802.02875"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-ideals-of-binary-hamming-spheres-1802.02875"/></url>
<url><loc>https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-genus-1802.02897</loc><lastmod>2018-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-genus-1802.02897"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arf-good-semigroups-with-fixed-genus-1802.02897"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lex-plus-powers-conjecture-1802.03035</loc><lastmod>2019-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lex-plus-powers-conjecture-1802.03035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lex-plus-powers-conjecture-1802.03035"/></url>
<url><loc>https://scifaro.com/en/abs/rank-selection-and-depth-conditions-for-balanced-simplicial-complexes-1802.03129</loc><lastmod>2019-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rank-selection-and-depth-conditions-for-balanced-simplicial-complexes-1802.03129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rank-selection-and-depth-conditions-for-balanced-simplicial-complexes-1802.03129"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-over-which-the-support-of-any-module-is-the-collection-of-prime-ideals-containing-the-annihilator-1802.03631</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-over-which-the-support-of-any-module-is-the-collection-of-prime-ideals-containing-the-annihilator-1802.03631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-over-which-the-support-of-any-module-is-the-collection-of-prime-ideals-containing-the-annihilator-1802.03631"/></url>
<url><loc>https://scifaro.com/en/abs/on-separable-a-2-and-a-3-forms-1802.03777</loc><lastmod>2019-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-separable-a-2-and-a-3-forms-1802.03777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-separable-a-2-and-a-3-forms-1802.03777"/></url>
<url><loc>https://scifaro.com/en/abs/solomon-terao-algebra-of-hyperplane-arrangements-1802.04056</loc><lastmod>2018-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solomon-terao-algebra-of-hyperplane-arrangements-1802.04056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solomon-terao-algebra-of-hyperplane-arrangements-1802.04056"/></url>
<url><loc>https://scifaro.com/en/abs/the-two-dimensional-centralizer-conjecture-1802.04685</loc><lastmod>2018-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-two-dimensional-centralizer-conjecture-1802.04685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-two-dimensional-centralizer-conjecture-1802.04685"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-certain-segre-products-1802.04786</loc><lastmod>2018-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-certain-segre-products-1802.04786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-over-certain-segre-products-1802.04786"/></url>
<url><loc>https://scifaro.com/en/abs/upper-cluster-algebras-and-choice-of-ground-ring-1802.04835</loc><lastmod>2019-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-cluster-algebras-and-choice-of-ground-ring-1802.04835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-cluster-algebras-and-choice-of-ground-ring-1802.04835"/></url>
<url><loc>https://scifaro.com/en/abs/the-order-of-dominance-of-a-monomial-ideal-1802.04863</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-order-of-dominance-of-a-monomial-ideal-1802.04863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-order-of-dominance-of-a-monomial-ideal-1802.04863"/></url>
<url><loc>https://scifaro.com/en/abs/simple-general-neron-desingularization-in-local-bf-q-algebras-1802.05109</loc><lastmod>2018-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-general-neron-desingularization-in-local-bf-q-algebras-1802.05109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-general-neron-desingularization-in-local-bf-q-algebras-1802.05109"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-binomial-edge-ideals-of-block-graphs-1802.06020</loc><lastmod>2018-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-binomial-edge-ideals-of-block-graphs-1802.06020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-binomial-edge-ideals-of-block-graphs-1802.06020"/></url>
<url><loc>https://scifaro.com/en/abs/a-bound-for-a-typical-differential-dimension-of-system-of-linear-differential-equations-1802.06163</loc><lastmod>2018-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bound-for-a-typical-differential-dimension-of-system-of-linear-differential-equations-1802.06163"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bound-for-a-typical-differential-dimension-of-system-of-linear-differential-equations-1802.06163"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersections-of-quadrics-and-the-weak-lefschetz-property-1802.06253</loc><lastmod>2018-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersections-of-quadrics-and-the-weak-lefschetz-property-1802.06253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersections-of-quadrics-and-the-weak-lefschetz-property-1802.06253"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideal-of-some-weighted-oriented-graphs-1802.06316</loc><lastmod>2018-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideal-of-some-weighted-oriented-graphs-1802.06316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideal-of-some-weighted-oriented-graphs-1802.06316"/></url>
<url><loc>https://scifaro.com/en/abs/the-category-of-factorization-1802.06330</loc><lastmod>2019-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-category-of-factorization-1802.06330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-category-of-factorization-1802.06330"/></url>
<url><loc>https://scifaro.com/en/abs/trace-ideals-and-the-gorenstein-property-1802.06491</loc><lastmod>2018-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-ideals-and-the-gorenstein-property-1802.06491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-ideals-and-the-gorenstein-property-1802.06491"/></url>
<url><loc>https://scifaro.com/en/abs/average-behavior-of-minimal-free-resolutions-of-monomial-ideals-1802.06537</loc><lastmod>2018-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/average-behavior-of-minimal-free-resolutions-of-monomial-ideals-1802.06537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/average-behavior-of-minimal-free-resolutions-of-monomial-ideals-1802.06537"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-over-all-fields-1802.06735</loc><lastmod>2018-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-over-all-fields-1802.06735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-over-all-fields-1802.06735"/></url>
<url><loc>https://scifaro.com/en/abs/support-of-laurent-series-algebraic-over-the-field-of-formal-power-series-1802.07083</loc><lastmod>2018-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-of-laurent-series-algebraic-over-the-field-of-formal-power-series-1802.07083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-of-laurent-series-algebraic-over-the-field-of-formal-power-series-1802.07083"/></url>
<url><loc>https://scifaro.com/en/abs/generating-functions-associated-to-frobenius-algebras-1802.07096</loc><lastmod>2019-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generating-functions-associated-to-frobenius-algebras-1802.07096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generating-functions-associated-to-frobenius-algebras-1802.07096"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-bicyclic-graphs-and-their-powers-1802.07202</loc><lastmod>2018-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-bicyclic-graphs-and-their-powers-1802.07202"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-bicyclic-graphs-and-their-powers-1802.07202"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-algebras-and-jordan-type-1802.07383</loc><lastmod>2022-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-algebras-and-jordan-type-1802.07383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-algebras-and-jordan-type-1802.07383"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-depth-property-of-finitely-generated-modules-1802.07596</loc><lastmod>2018-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-depth-property-of-finitely-generated-modules-1802.07596"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-depth-property-of-finitely-generated-modules-1802.07596"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-local-cohomology-of-modular-invariants-1802.07619</loc><lastmod>2018-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-local-cohomology-of-modular-invariants-1802.07619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-local-cohomology-of-modular-invariants-1802.07619"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-over-elementary-divisor-domains-1802.07635</loc><lastmod>2018-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-over-elementary-divisor-domains-1802.07635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-over-elementary-divisor-domains-1802.07635"/></url>
<url><loc>https://scifaro.com/en/abs/symmetry-preserving-degenerations-of-the-generic-symmetric-matrix-1802.08067</loc><lastmod>2018-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetry-preserving-degenerations-of-the-generic-symmetric-matrix-1802.08067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetry-preserving-degenerations-of-the-generic-symmetric-matrix-1802.08067"/></url>
<url><loc>https://scifaro.com/en/abs/on-ast-semi-homogeneous-domains-1802.08353</loc><lastmod>2018-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ast-semi-homogeneous-domains-1802.08353"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ast-semi-homogeneous-domains-1802.08353"/></url>
<url><loc>https://scifaro.com/en/abs/correspondence-between-trace-ideals-and-birational-extensions-with-application-to-the-analysis-of-the-gorenstein-property-of-rings-1802.08409</loc><lastmod>2018-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/correspondence-between-trace-ideals-and-birational-extensions-with-application-to-the-analysis-of-the-gorenstein-property-of-rings-1802.08409"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/correspondence-between-trace-ideals-and-birational-extensions-with-application-to-the-analysis-of-the-gorenstein-property-of-rings-1802.08409"/></url>
<url><loc>https://scifaro.com/en/abs/lexicographic-and-reverse-lexicographic-quadratic-gr-obner-bases-of-cut-ideals-1802.08796</loc><lastmod>2019-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lexicographic-and-reverse-lexicographic-quadratic-gr-obner-bases-of-cut-ideals-1802.08796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lexicographic-and-reverse-lexicographic-quadratic-gr-obner-bases-of-cut-ideals-1802.08796"/></url>
<url><loc>https://scifaro.com/en/abs/connectivity-of-hyperplane-sections-of-domains-1802.09445</loc><lastmod>2018-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connectivity-of-hyperplane-sections-of-domains-1802.09445"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connectivity-of-hyperplane-sections-of-domains-1802.09445"/></url>
<url><loc>https://scifaro.com/en/abs/demazure-construction-for-z-n-graded-krull-domains-1802.09693</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/demazure-construction-for-z-n-graded-krull-domains-1802.09693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/demazure-construction-for-z-n-graded-krull-domains-1802.09693"/></url>
<url><loc>https://scifaro.com/en/abs/which-sets-are-sets-of-lengths-in-all-numerical-monoids-1802.09945</loc><lastmod>2018-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/which-sets-are-sets-of-lengths-in-all-numerical-monoids-1802.09945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/which-sets-are-sets-of-lengths-in-all-numerical-monoids-1802.09945"/></url>
<url><loc>https://scifaro.com/en/abs/stillman-s-conjecture-via-generic-initial-ideals-1802.10139</loc><lastmod>2021-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stillman-s-conjecture-via-generic-initial-ideals-1802.10139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stillman-s-conjecture-via-generic-initial-ideals-1802.10139"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-1802.10178</loc><lastmod>2019-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-1802.10178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-1802.10178"/></url>
<url><loc>https://scifaro.com/en/abs/degenerations-over-a-infty-singularities-and-construction-of-degenerations-over-commutative-rings-1802.10277</loc><lastmod>2018-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degenerations-over-a-infty-singularities-and-construction-of-degenerations-over-commutative-rings-1802.10277"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degenerations-over-a-infty-singularities-and-construction-of-degenerations-over-commutative-rings-1802.10277"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-constants-of-linear-derivations-on-fermat-rings-1802.10578</loc><lastmod>2018-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-constants-of-linear-derivations-on-fermat-rings-1802.10578"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-constants-of-linear-derivations-on-fermat-rings-1802.10578"/></url>
<url><loc>https://scifaro.com/en/abs/on-stability-properties-of-powers-of-polymatroidal-ideals-1803.00730</loc><lastmod>2018-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stability-properties-of-powers-of-polymatroidal-ideals-1803.00730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stability-properties-of-powers-of-polymatroidal-ideals-1803.00730"/></url>
<url><loc>https://scifaro.com/en/abs/mathbb-z-r-and-rings-of-witt-vectors-w-s-r-1803.00812</loc><lastmod>2018-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mathbb-z-r-and-rings-of-witt-vectors-w-s-r-1803.00812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mathbb-z-r-and-rings-of-witt-vectors-w-s-r-1803.00812"/></url>
<url><loc>https://scifaro.com/en/abs/an-analogue-of-a-result-of-tits-for-linear-and-symplectic-transvection-groups-1803.00918</loc><lastmod>2018-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-analogue-of-a-result-of-tits-for-linear-and-symplectic-transvection-groups-1803.00918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-analogue-of-a-result-of-tits-for-linear-and-symplectic-transvection-groups-1803.00918"/></url>
<url><loc>https://scifaro.com/en/abs/krull-dimension-and-regularity-of-binomial-edge-ideals-of-block-graphs-1803.01239</loc><lastmod>2019-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-dimension-and-regularity-of-binomial-edge-ideals-of-block-graphs-1803.01239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-dimension-and-regularity-of-binomial-edge-ideals-of-block-graphs-1803.01239"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-properties-of-monomial-ideals-with-almost-linear-resolution-1803.01388</loc><lastmod>2018-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-of-monomial-ideals-with-almost-linear-resolution-1803.01388"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-of-monomial-ideals-with-almost-linear-resolution-1803.01388"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-regularity-of-monomial-ideals-via-polarization-and-combinatorial-optimization-1803.02017</loc><lastmod>2019-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-regularity-of-monomial-ideals-via-polarization-and-combinatorial-optimization-1803.02017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-regularity-of-monomial-ideals-via-polarization-and-combinatorial-optimization-1803.02017"/></url>
<url><loc>https://scifaro.com/en/abs/on-almost-revlex-ideals-with-hilbert-function-of-complete-intersections-1803.02330</loc><lastmod>2019-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-almost-revlex-ideals-with-hilbert-function-of-complete-intersections-1803.02330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-almost-revlex-ideals-with-hilbert-function-of-complete-intersections-1803.02330"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-some-special-rings-via-linkage-1803.02582</loc><lastmod>2018-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-some-special-rings-via-linkage-1803.02582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-some-special-rings-via-linkage-1803.02582"/></url>
<url><loc>https://scifaro.com/en/abs/strengthening-relationships-between-neural-ideals-and-receptive-fields-1803.03204</loc><lastmod>2018-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strengthening-relationships-between-neural-ideals-and-receptive-fields-1803.03204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strengthening-relationships-between-neural-ideals-and-receptive-fields-1803.03204"/></url>
<url><loc>https://scifaro.com/en/abs/regular-rings-and-perfect-oid-algebras-1803.03229</loc><lastmod>2018-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-rings-and-perfect-oid-algebras-1803.03229"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-rings-and-perfect-oid-algebras-1803.03229"/></url>
<url><loc>https://scifaro.com/en/abs/on-generic-principal-ideals-in-the-exterior-algebra-1803.03563</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generic-principal-ideals-in-the-exterior-algebra-1803.03563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generic-principal-ideals-in-the-exterior-algebra-1803.03563"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-the-coordinate-ring-of-a-convex-polyomino-1803.03801</loc><lastmod>2018-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-the-coordinate-ring-of-a-convex-polyomino-1803.03801"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-the-coordinate-ring-of-a-convex-polyomino-1803.03801"/></url>
<url><loc>https://scifaro.com/en/abs/on-monogenic-functions-defined-in-different-commutative-algebras-1803.03938</loc><lastmod>2018-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monogenic-functions-defined-in-different-commutative-algebras-1803.03938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monogenic-functions-defined-in-different-commutative-algebras-1803.03938"/></url>
<url><loc>https://scifaro.com/en/abs/stability-results-for-projective-modules-over-rees-algebras-1803.03979</loc><lastmod>2018-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-results-for-projective-modules-over-rees-algebras-1803.03979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-results-for-projective-modules-over-rees-algebras-1803.03979"/></url>
<url><loc>https://scifaro.com/en/abs/homological-invariants-of-powers-of-fiber-products-1803.04016</loc><lastmod>2019-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-invariants-of-powers-of-fiber-products-1803.04016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-invariants-of-powers-of-fiber-products-1803.04016"/></url>
<url><loc>https://scifaro.com/en/abs/nilpotence-of-frobenius-actions-on-local-cohomology-and-frobenius-closure-of-ideals-1803.04081</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nilpotence-of-frobenius-actions-on-local-cohomology-and-frobenius-closure-of-ideals-1803.04081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nilpotence-of-frobenius-actions-on-local-cohomology-and-frobenius-closure-of-ideals-1803.04081"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-secant-ideals-of-pl-ucker-embedded-grassmannians-are-generated-in-bounded-degree-1803.04259</loc><lastmod>2018-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-secant-ideals-of-pl-ucker-embedded-grassmannians-are-generated-in-bounded-degree-1803.04259"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-secant-ideals-of-pl-ucker-embedded-grassmannians-are-generated-in-bounded-degree-1803.04259"/></url>
<url><loc>https://scifaro.com/en/abs/characterizations-of-gelfand-rings-specially-clean-rings-and-their-dual-rings-1803.04817</loc><lastmod>2020-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizations-of-gelfand-rings-specially-clean-rings-and-their-dual-rings-1803.04817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizations-of-gelfand-rings-specially-clean-rings-and-their-dual-rings-1803.04817"/></url>
<url><loc>https://scifaro.com/en/abs/the-initial-ideal-of-generic-sequences-and-fr-o-berg-s-conjecture-1803.04997</loc><lastmod>2025-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-initial-ideal-of-generic-sequences-and-fr-o-berg-s-conjecture-1803.04997"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-initial-ideal-of-generic-sequences-and-fr-o-berg-s-conjecture-1803.04997"/></url>
<url><loc>https://scifaro.com/en/abs/f-rationality-of-rees-algebras-1803.05382</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-rationality-of-rees-algebras-1803.05382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-rationality-of-rees-algebras-1803.05382"/></url>
<url><loc>https://scifaro.com/en/abs/homological-criteria-for-minimal-multiplicity-1803.05454</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-criteria-for-minimal-multiplicity-1803.05454"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-criteria-for-minimal-multiplicity-1803.05454"/></url>
<url><loc>https://scifaro.com/en/abs/many-associated-primes-of-powers-of-primes-1803.05456</loc><lastmod>2019-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/many-associated-primes-of-powers-of-primes-1803.05456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/many-associated-primes-of-powers-of-primes-1803.05456"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-linkage-of-modules-1803.05746</loc><lastmod>2019-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-linkage-of-modules-1803.05746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-linkage-of-modules-1803.05746"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-computation-of-h-bases-1803.06203</loc><lastmod>2018-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-computation-of-h-bases-1803.06203"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-computation-of-h-bases-1803.06203"/></url>
<url><loc>https://scifaro.com/en/abs/inverse-limits-of-macaulay-s-inverse-systems-1803.06215</loc><lastmod>2019-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inverse-limits-of-macaulay-s-inverse-systems-1803.06215"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inverse-limits-of-macaulay-s-inverse-systems-1803.06215"/></url>
<url><loc>https://scifaro.com/en/abs/restricting-homology-to-hypersurfaces-1803.06715</loc><lastmod>2018-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restricting-homology-to-hypersurfaces-1803.06715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restricting-homology-to-hypersurfaces-1803.06715"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-question-of-swan-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1803.06956</loc><lastmod>2018-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-question-of-swan-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1803.06956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-question-of-swan-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1803.06956"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-bound-on-hrushovski-s-algorithm-for-computing-the-galois-group-of-a-linear-differential-equation-1803.07105</loc><lastmod>2019-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-bound-on-hrushovski-s-algorithm-for-computing-the-galois-group-of-a-linear-differential-equation-1803.07105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-bound-on-hrushovski-s-algorithm-for-computing-the-galois-group-of-a-linear-differential-equation-1803.07105"/></url>
<url><loc>https://scifaro.com/en/abs/liftings-of-a-monomial-curve-1803.07285</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/liftings-of-a-monomial-curve-1803.07285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/liftings-of-a-monomial-curve-1803.07285"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-for-certain-cohen-macaulay-tangent-cones-1803.07287</loc><lastmod>2018-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-for-certain-cohen-macaulay-tangent-cones-1803.07287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-for-certain-cohen-macaulay-tangent-cones-1803.07287"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-hartshorne-s-conjecture-and-local-cohomology-modules-1803.07546</loc><lastmod>2018-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-hartshorne-s-conjecture-and-local-cohomology-modules-1803.07546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-hartshorne-s-conjecture-and-local-cohomology-modules-1803.07546"/></url>
<url><loc>https://scifaro.com/en/abs/subfields-of-algebraically-maximal-kaplansky-fields-1803.07792</loc><lastmod>2018-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subfields-of-algebraically-maximal-kaplansky-fields-1803.07792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subfields-of-algebraically-maximal-kaplansky-fields-1803.07792"/></url>
<url><loc>https://scifaro.com/en/abs/selected-methods-for-the-classification-of-cuts-and-their-applications-1803.07806</loc><lastmod>2018-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/selected-methods-for-the-classification-of-cuts-and-their-applications-1803.07806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/selected-methods-for-the-classification-of-cuts-and-their-applications-1803.07806"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-theory-generalized-ifs-attractors-and-fractals-1803.07809</loc><lastmod>2023-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-theory-generalized-ifs-attractors-and-fractals-1803.07809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-theory-generalized-ifs-attractors-and-fractals-1803.07809"/></url>
<url><loc>https://scifaro.com/en/abs/certain-classes-of-cohen-macaulay-multipartite-graphs-1803.07880</loc><lastmod>2018-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certain-classes-of-cohen-macaulay-multipartite-graphs-1803.07880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certain-classes-of-cohen-macaulay-multipartite-graphs-1803.07880"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-s-fourteenth-problem-and-field-modifications-1803.08002</loc><lastmod>2018-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-s-fourteenth-problem-and-field-modifications-1803.08002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-s-fourteenth-problem-and-field-modifications-1803.08002"/></url>
<url><loc>https://scifaro.com/en/abs/tangent-cones-of-monomial-curves-obtained-by-numerical-duplication-1803.08302</loc><lastmod>2018-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tangent-cones-of-monomial-curves-obtained-by-numerical-duplication-1803.08302"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tangent-cones-of-monomial-curves-obtained-by-numerical-duplication-1803.08302"/></url>
<url><loc>https://scifaro.com/en/abs/two-inquiries-about-finite-groups-and-well-behaved-quotients-1803.08417</loc><lastmod>2018-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-inquiries-about-finite-groups-and-well-behaved-quotients-1803.08417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-inquiries-about-finite-groups-and-well-behaved-quotients-1803.08417"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-approach-to-the-ellipticity-of-linear-differential-operators-1803.08452</loc><lastmod>2018-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-approach-to-the-ellipticity-of-linear-differential-operators-1803.08452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-approach-to-the-ellipticity-of-linear-differential-operators-1803.08452"/></url>
<url><loc>https://scifaro.com/en/abs/noether-s-problem-for-orientation-p-subgroups-of-symmetric-groups-1803.08620</loc><lastmod>2018-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noether-s-problem-for-orientation-p-subgroups-of-symmetric-groups-1803.08620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noether-s-problem-for-orientation-p-subgroups-of-symmetric-groups-1803.08620"/></url>
<url><loc>https://scifaro.com/en/abs/on-ideals-generated-by-two-generic-quadratic-forms-in-the-exterior-algebra-1803.08918</loc><lastmod>2019-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ideals-generated-by-two-generic-quadratic-forms-in-the-exterior-algebra-1803.08918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ideals-generated-by-two-generic-quadratic-forms-in-the-exterior-algebra-1803.08918"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-criteria-for-projective-monomial-curves-via-gr-obner-bases-1803.08961</loc><lastmod>2019-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-criteria-for-projective-monomial-curves-via-gr-obner-bases-1803.08961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-criteria-for-projective-monomial-curves-via-gr-obner-bases-1803.08961"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-euler-poincar-e-characteristic-and-mixed-multiplicities-of-maximal-degrees-1803.09201</loc><lastmod>2019-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-euler-poincar-e-characteristic-and-mixed-multiplicities-of-maximal-degrees-1803.09201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-euler-poincar-e-characteristic-and-mixed-multiplicities-of-maximal-degrees-1803.09201"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-with-self-tor-vanishing-1803.09233</loc><lastmod>2019-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-with-self-tor-vanishing-1803.09233"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-with-self-tor-vanishing-1803.09233"/></url>
<url><loc>https://scifaro.com/en/abs/on-mixed-hessians-and-the-lefschetz-properties-1803.09664</loc><lastmod>2018-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-mixed-hessians-and-the-lefschetz-properties-1803.09664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-mixed-hessians-and-the-lefschetz-properties-1803.09664"/></url>
<url><loc>https://scifaro.com/en/abs/on-valuation-independence-and-defectless-extensions-of-valued-fields-1803.09821</loc><lastmod>2018-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-valuation-independence-and-defectless-extensions-of-valued-fields-1803.09821"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-valuation-independence-and-defectless-extensions-of-valued-fields-1803.09821"/></url>
<url><loc>https://scifaro.com/en/abs/on-2-absorbing-primary-hyperideals-of-multiplicative-hyperrings-1803.09921</loc><lastmod>2018-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-2-absorbing-primary-hyperideals-of-multiplicative-hyperrings-1803.09921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-2-absorbing-primary-hyperideals-of-multiplicative-hyperrings-1803.09921"/></url>
<url><loc>https://scifaro.com/en/abs/ring-extensions-of-length-2-1803.11297</loc><lastmod>2018-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-extensions-of-length-2-1803.11297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-extensions-of-length-2-1803.11297"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-zeta-barnes-type-function-associated-to-graded-modules-1803.11510</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-zeta-barnes-type-function-associated-to-graded-modules-1803.11510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-zeta-barnes-type-function-associated-to-graded-modules-1803.11510"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-relationship-between-green-to-red-sequences-local-acyclicity-and-upper-cluster-algebras-1804.00479</loc><lastmod>2018-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-relationship-between-green-to-red-sequences-local-acyclicity-and-upper-cluster-algebras-1804.00479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-relationship-between-green-to-red-sequences-local-acyclicity-and-upper-cluster-algebras-1804.00479"/></url>
<url><loc>https://scifaro.com/en/abs/pairs-of-modules-over-a-principal-ideal-domain-1804.00536</loc><lastmod>2018-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pairs-of-modules-over-a-principal-ideal-domain-1804.00536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pairs-of-modules-over-a-principal-ideal-domain-1804.00536"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-semirings-and-their-ideals-1804.00593</loc><lastmod>2018-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-semirings-and-their-ideals-1804.00593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-semirings-and-their-ideals-1804.00593"/></url>
<url><loc>https://scifaro.com/en/abs/newton-complementary-duals-of-f-ideals-1804.00686</loc><lastmod>2019-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newton-complementary-duals-of-f-ideals-1804.00686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newton-complementary-duals-of-f-ideals-1804.00686"/></url>
<url><loc>https://scifaro.com/en/abs/isolated-factorizations-and-their-applications-in-simplicial-affine-semigroups-1804.00885</loc><lastmod>2022-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isolated-factorizations-and-their-applications-in-simplicial-affine-semigroups-1804.00885"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isolated-factorizations-and-their-applications-in-simplicial-affine-semigroups-1804.00885"/></url>
<url><loc>https://scifaro.com/en/abs/rigid-ideals-in-gorenstein-rings-of-dimension-one-1804.00939</loc><lastmod>2018-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigid-ideals-in-gorenstein-rings-of-dimension-one-1804.00939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigid-ideals-in-gorenstein-rings-of-dimension-one-1804.00939"/></url>
<url><loc>https://scifaro.com/en/abs/on-ratliff-rush-closure-of-modules-1804.00940</loc><lastmod>2019-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ratliff-rush-closure-of-modules-1804.00940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ratliff-rush-closure-of-modules-1804.00940"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-uniform-bound-of-frobenius-test-exponents-1804.01012</loc><lastmod>2018-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-uniform-bound-of-frobenius-test-exponents-1804.01012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-uniform-bound-of-frobenius-test-exponents-1804.01012"/></url>
<url><loc>https://scifaro.com/en/abs/fiber-cones-analytic-spreads-of-the-canonical-and-anticanonical-ideals-and-limit-frobenius-complexity-of-hibi-rings-1804.01046</loc><lastmod>2019-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fiber-cones-analytic-spreads-of-the-canonical-and-anticanonical-ideals-and-limit-frobenius-complexity-of-hibi-rings-1804.01046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fiber-cones-analytic-spreads-of-the-canonical-and-anticanonical-ideals-and-limit-frobenius-complexity-of-hibi-rings-1804.01046"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vasconcelos-inequality-for-the-fiber-multiplicity-of-modules-1804.01255</loc><lastmod>2018-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vasconcelos-inequality-for-the-fiber-multiplicity-of-modules-1804.01255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vasconcelos-inequality-for-the-fiber-multiplicity-of-modules-1804.01255"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-function-of-quotient-singularities-1804.01281</loc><lastmod>2018-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-function-of-quotient-singularities-1804.01281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-function-of-quotient-singularities-1804.01281"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-1804.01707</loc><lastmod>2018-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-1804.01707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-1804.01707"/></url>
<url><loc>https://scifaro.com/en/abs/equations-defining-certain-graphs-1804.02015</loc><lastmod>2019-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-defining-certain-graphs-1804.02015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-defining-certain-graphs-1804.02015"/></url>
<url><loc>https://scifaro.com/en/abs/self-pure-generators-over-dedekind-domains-1804.02116</loc><lastmod>2018-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/self-pure-generators-over-dedekind-domains-1804.02116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/self-pure-generators-over-dedekind-domains-1804.02116"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-finitely-generated-flat-modules-1804.03007</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-finitely-generated-flat-modules-1804.03007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-finitely-generated-flat-modules-1804.03007"/></url>
<url><loc>https://scifaro.com/en/abs/on-reduction-number-of-products-of-ideals-1804.03382</loc><lastmod>2020-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-reduction-number-of-products-of-ideals-1804.03382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-reduction-number-of-products-of-ideals-1804.03382"/></url>
<url><loc>https://scifaro.com/en/abs/counterexamples-for-cohen-macaulayness-of-lattice-ideals-1804.03647</loc><lastmod>2018-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counterexamples-for-cohen-macaulayness-of-lattice-ideals-1804.03647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counterexamples-for-cohen-macaulayness-of-lattice-ideals-1804.03647"/></url>
<url><loc>https://scifaro.com/en/abs/normal-reduction-numbers-for-normal-surface-singularities-with-application-to-elliptic-singularities-of-brieskorn-type-1804.03795</loc><lastmod>2025-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-reduction-numbers-for-normal-surface-singularities-with-application-to-elliptic-singularities-of-brieskorn-type-1804.03795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-reduction-numbers-for-normal-surface-singularities-with-application-to-elliptic-singularities-of-brieskorn-type-1804.03795"/></url>
<url><loc>https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-iii-1804.04551</loc><lastmod>2018-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-iii-1804.04551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-die-von-einem-ideal-i-subset-r-erzeugten-r-moduln-iii-1804.04551"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-length-distribution-for-affine-semigroups-i-numerical-semigroups-with-three-generators-1804.05135</loc><lastmod>2021-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-length-distribution-for-affine-semigroups-i-numerical-semigroups-with-three-generators-1804.05135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-length-distribution-for-affine-semigroups-i-numerical-semigroups-with-three-generators-1804.05135"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-gorenstein-arf-rings-1804.05217</loc><lastmod>2020-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-gorenstein-arf-rings-1804.05217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-gorenstein-arf-rings-1804.05217"/></url>
<url><loc>https://scifaro.com/en/abs/lattices-and-hypergraphs-associated-to-square-free-monomial-ideals-1804.05919</loc><lastmod>2019-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lattices-and-hypergraphs-associated-to-square-free-monomial-ideals-1804.05919"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lattices-and-hypergraphs-associated-to-square-free-monomial-ideals-1804.05919"/></url>
<url><loc>https://scifaro.com/en/abs/variants-on-a-question-of-wilf-1804.06141</loc><lastmod>2018-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/variants-on-a-question-of-wilf-1804.06141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/variants-on-a-question-of-wilf-1804.06141"/></url>
<url><loc>https://scifaro.com/en/abs/distributions-of-weights-and-a-question-of-wilf-1804.06146</loc><lastmod>2018-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distributions-of-weights-and-a-question-of-wilf-1804.06146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distributions-of-weights-and-a-question-of-wilf-1804.06146"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-divisor-complexes-of-certain-numerical-semigroup-elements-1804.06632</loc><lastmod>2021-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-divisor-complexes-of-certain-numerical-semigroup-elements-1804.06632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-divisor-complexes-of-certain-numerical-semigroup-elements-1804.06632"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-chains-of-ulrich-ideals-in-cohen-macaulay-local-rings-of-dimension-one-1804.06643</loc><lastmod>2018-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-chains-of-ulrich-ideals-in-cohen-macaulay-local-rings-of-dimension-one-1804.06643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-chains-of-ulrich-ideals-in-cohen-macaulay-local-rings-of-dimension-one-1804.06643"/></url>
<url><loc>https://scifaro.com/en/abs/ps-hollow-representations-of-modules-over-commutative-rings-1804.06968</loc><lastmod>2019-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ps-hollow-representations-of-modules-over-commutative-rings-1804.06968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ps-hollow-representations-of-modules-over-commutative-rings-1804.06968"/></url>
<url><loc>https://scifaro.com/en/abs/residually-faithful-modules-and-the-cohen-macaulay-type-of-idealizations-1804.07885</loc><lastmod>2018-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residually-faithful-modules-and-the-cohen-macaulay-type-of-idealizations-1804.07885"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residually-faithful-modules-and-the-cohen-macaulay-type-of-idealizations-1804.07885"/></url>
<url><loc>https://scifaro.com/en/abs/mittag-leffler-functors-of-modules-1804.08182</loc><lastmod>2019-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mittag-leffler-functors-of-modules-1804.08182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mittag-leffler-functors-of-modules-1804.08182"/></url>
<url><loc>https://scifaro.com/en/abs/proof-of-the-gorenstein-interval-conjecture-in-low-socle-degree-1804.08745</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proof-of-the-gorenstein-interval-conjecture-in-low-socle-degree-1804.08745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proof-of-the-gorenstein-interval-conjecture-in-low-socle-degree-1804.08745"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cayley-bacharach-property-1804.09469</loc><lastmod>2018-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cayley-bacharach-property-1804.09469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cayley-bacharach-property-1804.09469"/></url>
<url><loc>https://scifaro.com/en/abs/generalizations-of-stillman-s-conjecture-via-twisted-commutative-algebras-1804.09807</loc><lastmod>2021-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizations-of-stillman-s-conjecture-via-twisted-commutative-algebras-1804.09807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizations-of-stillman-s-conjecture-via-twisted-commutative-algebras-1804.09807"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-schemes-of-double-and-reduced-points-1804.10277</loc><lastmod>2019-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-schemes-of-double-and-reduced-points-1804.10277"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-schemes-of-double-and-reduced-points-1804.10277"/></url>
<url><loc>https://scifaro.com/en/abs/a-short-proof-of-bresinski-s-theorem-on-gorenstein-semigroup-rings-generated-by-4-elements-1804.10330</loc><lastmod>2018-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-short-proof-of-bresinski-s-theorem-on-gorenstein-semigroup-rings-generated-by-4-elements-1804.10330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-short-proof-of-bresinski-s-theorem-on-gorenstein-semigroup-rings-generated-by-4-elements-1804.10330"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-monomial-ideals-with-the-persistence-property-1804.10532</loc><lastmod>2018-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-monomial-ideals-with-the-persistence-property-1804.10532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-monomial-ideals-with-the-persistence-property-1804.10532"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-bounds-in-prime-characteristic-1804.11288</loc><lastmod>2018-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-bounds-in-prime-characteristic-1804.11288"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-bounds-in-prime-characteristic-1804.11288"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-resolutions-of-toric-varieties-1805.00492</loc><lastmod>2019-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-resolutions-of-toric-varieties-1805.00492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-resolutions-of-toric-varieties-1805.00492"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.01412</loc><lastmod>2021-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.01412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.01412"/></url>
<url><loc>https://scifaro.com/en/abs/newtonian-valued-differential-fields-with-arbitrary-value-group-1805.01423</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newtonian-valued-differential-fields-with-arbitrary-value-group-1805.01423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newtonian-valued-differential-fields-with-arbitrary-value-group-1805.01423"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-from-local-properties-to-global-bounds-1805.01434</loc><lastmod>2022-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-from-local-properties-to-global-bounds-1805.01434"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-from-local-properties-to-global-bounds-1805.01434"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-ideals-of-commutative-semirings-1805.01438</loc><lastmod>2018-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-ideals-of-commutative-semirings-1805.01438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-ideals-of-commutative-semirings-1805.01438"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-of-filtrations-1805.01440</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-of-filtrations-1805.01440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-of-filtrations-1805.01440"/></url>
<url><loc>https://scifaro.com/en/abs/generic-initial-ideals-of-modular-polynomial-invariants-1805.01490</loc><lastmod>2020-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-initial-ideals-of-modular-polynomial-invariants-1805.01490"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-initial-ideals-of-modular-polynomial-invariants-1805.01490"/></url>
<url><loc>https://scifaro.com/en/abs/produit-tensoriel-compl-et-e-et-platitude-1805.01833</loc><lastmod>2018-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/produit-tensoriel-compl-et-e-et-platitude-1805.01833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/produit-tensoriel-compl-et-e-et-platitude-1805.01833"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-second-rigidity-theorem-of-huneke-and-wiegand-1805.02204</loc><lastmod>2018-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-second-rigidity-theorem-of-huneke-and-wiegand-1805.02204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-second-rigidity-theorem-of-huneke-and-wiegand-1805.02204"/></url>
<url><loc>https://scifaro.com/en/abs/intrinsic-factorization-of-ideals-in-dedekind-domains-1805.02289</loc><lastmod>2018-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intrinsic-factorization-of-ideals-in-dedekind-domains-1805.02289"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intrinsic-factorization-of-ideals-in-dedekind-domains-1805.02289"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-ii-1805.02314</loc><lastmod>2018-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-ii-1805.02314"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-the-associated-buchsbaum-rim-multiplicities-of-a-direct-sum-of-cyclic-modules-ii-1805.02314"/></url>
<url><loc>https://scifaro.com/en/abs/t-spread-strongly-stable-monomial-ideals-1805.02368</loc><lastmod>2018-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/t-spread-strongly-stable-monomial-ideals-1805.02368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/t-spread-strongly-stable-monomial-ideals-1805.02368"/></url>
<url><loc>https://scifaro.com/en/abs/sets-of-arithmetical-invariants-in-transfer-krull-monoids-1805.02911</loc><lastmod>2019-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sets-of-arithmetical-invariants-in-transfer-krull-monoids-1805.02911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sets-of-arithmetical-invariants-in-transfer-krull-monoids-1805.02911"/></url>
<url><loc>https://scifaro.com/en/abs/tropical-tensor-product-and-beyond-1805.03174</loc><lastmod>2018-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tropical-tensor-product-and-beyond-1805.03174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tropical-tensor-product-and-beyond-1805.03174"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-edge-ideals-of-graphs-1805.03428</loc><lastmod>2019-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-edge-ideals-of-graphs-1805.03428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-edge-ideals-of-graphs-1805.03428"/></url>
<url><loc>https://scifaro.com/en/abs/algebrization-of-some-complete-modules-1805.03587</loc><lastmod>2025-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebrization-of-some-complete-modules-1805.03587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebrization-of-some-complete-modules-1805.03587"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-of-oriented-graphs-1805.04167</loc><lastmod>2018-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-of-oriented-graphs-1805.04167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-of-oriented-graphs-1805.04167"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-theta-invariant-and-a-conjecture-of-huneke-and-wiegand-1805.04568</loc><lastmod>2021-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-theta-invariant-and-a-conjecture-of-huneke-and-wiegand-1805.04568"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-theta-invariant-and-a-conjecture-of-huneke-and-wiegand-1805.04568"/></url>
<url><loc>https://scifaro.com/en/abs/resolution-of-the-symmetric-algebra-of-a-finite-base-locus-1805.05599</loc><lastmod>2018-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolution-of-the-symmetric-algebra-of-a-finite-base-locus-1805.05599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolution-of-the-symmetric-algebra-of-a-finite-base-locus-1805.05599"/></url>
<url><loc>https://scifaro.com/en/abs/a-lifting-problem-for-dg-modules-1805.05658</loc><lastmod>2018-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-lifting-problem-for-dg-modules-1805.05658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-lifting-problem-for-dg-modules-1805.05658"/></url>
<url><loc>https://scifaro.com/en/abs/an-auslander-reiten-principle-in-derived-categories-1805.05676</loc><lastmod>2018-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-auslander-reiten-principle-in-derived-categories-1805.05676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-auslander-reiten-principle-in-derived-categories-1805.05676"/></url>
<url><loc>https://scifaro.com/en/abs/homotopy-categories-of-unbounded-complexes-of-projective-modules-1805.05705</loc><lastmod>2022-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homotopy-categories-of-unbounded-complexes-of-projective-modules-1805.05705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homotopy-categories-of-unbounded-complexes-of-projective-modules-1805.05705"/></url>
<url><loc>https://scifaro.com/en/abs/differential-henselianity-and-maximality-of-asymptotic-valued-differential-fields-1805.05890</loc><lastmod>2020-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-henselianity-and-maximality-of-asymptotic-valued-differential-fields-1805.05890"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-henselianity-and-maximality-of-asymptotic-valued-differential-fields-1805.05890"/></url>
<url><loc>https://scifaro.com/en/abs/the-derived-category-of-a-locally-complete-intersection-ring-1805.07627</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-derived-category-of-a-locally-complete-intersection-ring-1805.07627"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-derived-category-of-a-locally-complete-intersection-ring-1805.07627"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-subadditivity-formula-for-test-ideals-1805.08739</loc><lastmod>2019-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-subadditivity-formula-for-test-ideals-1805.08739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-subadditivity-formula-for-test-ideals-1805.08739"/></url>
<url><loc>https://scifaro.com/en/abs/iterated-local-cohomology-groups-and-lyubeznik-numbers-for-determinantal-rings-1805.08895</loc><lastmod>2018-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterated-local-cohomology-groups-and-lyubeznik-numbers-for-determinantal-rings-1805.08895"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterated-local-cohomology-groups-and-lyubeznik-numbers-for-determinantal-rings-1805.08895"/></url>
<url><loc>https://scifaro.com/en/abs/almost-maximal-numerical-semigroups-formed-by-concatenation-of-arithmetic-sequences-1805.08972</loc><lastmod>2020-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-maximal-numerical-semigroups-formed-by-concatenation-of-arithmetic-sequences-1805.08972"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-maximal-numerical-semigroups-formed-by-concatenation-of-arithmetic-sequences-1805.08972"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-ideals-of-points-a-cerlienco-mureddu-like-approach-for-an-iterative-lex-game-1805.09165</loc><lastmod>2018-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-ideals-of-points-a-cerlienco-mureddu-like-approach-for-an-iterative-lex-game-1805.09165"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-ideals-of-points-a-cerlienco-mureddu-like-approach-for-an-iterative-lex-game-1805.09165"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-the-arf-closure-of-an-algebroid-curve-with-more-than-one-branch-1805.10067</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-arf-closure-of-an-algebroid-curve-with-more-than-one-branch-1805.10067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-the-arf-closure-of-an-algebroid-curve-with-more-than-one-branch-1805.10067"/></url>
<url><loc>https://scifaro.com/en/abs/for-which-additive-submonoids-m-of-nonnegative-rationals-is-f-x-m-ap-1805.10373</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/for-which-additive-submonoids-m-of-nonnegative-rationals-is-f-x-m-ap-1805.10373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/for-which-additive-submonoids-m-of-nonnegative-rationals-is-f-x-m-ap-1805.10373"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-characterization-of-principal-ideal-domains-1805.10374</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-characterization-of-principal-ideal-domains-1805.10374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-characterization-of-principal-ideal-domains-1805.10374"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-simple-example-of-an-atomic-domain-which-is-not-accp-1805.10375</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-simple-example-of-an-atomic-domain-which-is-not-accp-1805.10375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-simple-example-of-an-atomic-domain-which-is-not-accp-1805.10375"/></url>
<url><loc>https://scifaro.com/en/abs/topological-properties-of-localizations-flat-overrings-and-sublocalizations-1805.10901</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-properties-of-localizations-flat-overrings-and-sublocalizations-1805.10901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-properties-of-localizations-flat-overrings-and-sublocalizations-1805.10901"/></url>
<url><loc>https://scifaro.com/en/abs/star-operations-on-kunz-domains-1805.10903</loc><lastmod>2018-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/star-operations-on-kunz-domains-1805.10903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/star-operations-on-kunz-domains-1805.10903"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-bipartite-nested-ear-decomposition-1805.10923</loc><lastmod>2018-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-bipartite-nested-ear-decomposition-1805.10923"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-the-vanishing-ideal-over-a-bipartite-nested-ear-decomposition-1805.10923"/></url>
<url><loc>https://scifaro.com/en/abs/linear-strands-of-edge-ideals-of-multipartite-uniform-clutters-1805.11432</loc><lastmod>2020-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-strands-of-edge-ideals-of-multipartite-uniform-clutters-1805.11432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-strands-of-edge-ideals-of-multipartite-uniform-clutters-1805.11432"/></url>
<url><loc>https://scifaro.com/en/abs/square-free-groebner-degenerations-1805.11923</loc><lastmod>2020-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/square-free-groebner-degenerations-1805.11923"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/square-free-groebner-degenerations-1805.11923"/></url>
<url><loc>https://scifaro.com/en/abs/on-minimal-decompositions-of-low-rank-symmetric-tensors-1805.11940</loc><lastmod>2018-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-minimal-decompositions-of-low-rank-symmetric-tensors-1805.11940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-minimal-decompositions-of-low-rank-symmetric-tensors-1805.11940"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-operators-on-quotients-by-an-exact-zero-divisor-1805.12236</loc><lastmod>2018-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-operators-on-quotients-by-an-exact-zero-divisor-1805.12236"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-operators-on-quotients-by-an-exact-zero-divisor-1805.12236"/></url>
<url><loc>https://scifaro.com/en/abs/the-depth-of-a-reflexive-polytope-1805.12446</loc><lastmod>2020-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-depth-of-a-reflexive-polytope-1805.12446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-depth-of-a-reflexive-polytope-1805.12446"/></url>
<url><loc>https://scifaro.com/en/abs/improved-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.12508</loc><lastmod>2019-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/improved-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.12508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/improved-bounds-for-the-regularity-of-powers-of-edge-ideals-of-graphs-1805.12508"/></url>
<url><loc>https://scifaro.com/en/abs/compactly-generated-t-structures-in-the-derived-category-of-a-commutative-ring-1806.00078</loc><lastmod>2018-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compactly-generated-t-structures-in-the-derived-category-of-a-commutative-ring-1806.00078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compactly-generated-t-structures-in-the-derived-category-of-a-commutative-ring-1806.00078"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-up-to-symmetry-1806.00457</loc><lastmod>2020-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-up-to-symmetry-1806.00457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-up-to-symmetry-1806.00457"/></url>
<url><loc>https://scifaro.com/en/abs/cohomologically-full-rings-1806.00536</loc><lastmod>2019-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomologically-full-rings-1806.00536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomologically-full-rings-1806.00536"/></url>
<url><loc>https://scifaro.com/en/abs/effective-definability-of-kolchin-polynomials-1806.02060</loc><lastmod>2018-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-definability-of-kolchin-polynomials-1806.02060"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-definability-of-kolchin-polynomials-1806.02060"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-cohen-macaulay-bipartite-graphs-1806.02109</loc><lastmod>2019-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-cohen-macaulay-bipartite-graphs-1806.02109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-cohen-macaulay-bipartite-graphs-1806.02109"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-of-edge-ideal-of-skew-ferrers-graphs-1806.02327</loc><lastmod>2018-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-edge-ideal-of-skew-ferrers-graphs-1806.02327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-edge-ideal-of-skew-ferrers-graphs-1806.02327"/></url>
<url><loc>https://scifaro.com/en/abs/free-extensions-and-jordan-type-1806.02767</loc><lastmod>2020-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-extensions-and-jordan-type-1806.02767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-extensions-and-jordan-type-1806.02767"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-with-respect-to-the-linked-ideals-1806.03523</loc><lastmod>2019-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-with-respect-to-the-linked-ideals-1806.03523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-with-respect-to-the-linked-ideals-1806.03523"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-multinomial-sums-of-ideals-primary-decompositions-and-persistence-of-associated-primes-1806.03545</loc><lastmod>2021-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-multinomial-sums-of-ideals-primary-decompositions-and-persistence-of-associated-primes-1806.03545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-multinomial-sums-of-ideals-primary-decompositions-and-persistence-of-associated-primes-1806.03545"/></url>
<url><loc>https://scifaro.com/en/abs/structural-results-on-lifting-orthogonality-and-finiteness-of-idempotents-1806.03599</loc><lastmod>2021-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structural-results-on-lifting-orthogonality-and-finiteness-of-idempotents-1806.03599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structural-results-on-lifting-orthogonality-and-finiteness-of-idempotents-1806.03599"/></url>
<url><loc>https://scifaro.com/en/abs/types-of-linkage-of-quadratic-pfister-forms-1806.03603</loc><lastmod>2018-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/types-of-linkage-of-quadratic-pfister-forms-1806.03603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/types-of-linkage-of-quadratic-pfister-forms-1806.03603"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-with-every-non-maximal-ideal-finitely-generated-1806.03735</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-with-every-non-maximal-ideal-finitely-generated-1806.03735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-with-every-non-maximal-ideal-finitely-generated-1806.03735"/></url>
<url><loc>https://scifaro.com/en/abs/the-f-and-h-vectors-of-interval-subdivisions-1806.03823</loc><lastmod>2019-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f-and-h-vectors-of-interval-subdivisions-1806.03823"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f-and-h-vectors-of-interval-subdivisions-1806.03823"/></url>
<url><loc>https://scifaro.com/en/abs/big-polynomial-rings-with-imperfect-coefficient-fields-1806.04208</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-polynomial-rings-with-imperfect-coefficient-fields-1806.04208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-polynomial-rings-with-imperfect-coefficient-fields-1806.04208"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-local-cohomology-and-set-theoretically-cohen-macaulay-ideals-1806.04405</loc><lastmod>2021-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-local-cohomology-and-set-theoretically-cohen-macaulay-ideals-1806.04405"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-local-cohomology-and-set-theoretically-cohen-macaulay-ideals-1806.04405"/></url>
<url><loc>https://scifaro.com/en/abs/quadrics-defined-by-skew-symmetric-matrices-1806.04446</loc><lastmod>2018-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadrics-defined-by-skew-symmetric-matrices-1806.04446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadrics-defined-by-skew-symmetric-matrices-1806.04446"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-the-arf-property-for-quadratic-quotients-of-the-rees-algebra-1806.04448</loc><lastmod>2021-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-the-arf-property-for-quadratic-quotients-of-the-rees-algebra-1806.04448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-the-arf-property-for-quadratic-quotients-of-the-rees-algebra-1806.04448"/></url>
<url><loc>https://scifaro.com/en/abs/strong-f-regularity-and-generating-morphisms-of-local-cohomology-modules-1806.04538</loc><lastmod>2018-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-f-regularity-and-generating-morphisms-of-local-cohomology-modules-1806.04538"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-f-regularity-and-generating-morphisms-of-local-cohomology-modules-1806.04538"/></url>
<url><loc>https://scifaro.com/en/abs/attached-and-assoiciated-primes-of-local-cohomology-modules-via-linkage-1806.04726</loc><lastmod>2018-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/attached-and-assoiciated-primes-of-local-cohomology-modules-via-linkage-1806.04726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/attached-and-assoiciated-primes-of-local-cohomology-modules-via-linkage-1806.04726"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-of-small-codimension-1806.05107</loc><lastmod>2018-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-of-small-codimension-1806.05107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-of-small-codimension-1806.05107"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-join-meet-ideals-of-modular-lattices-1806.05200</loc><lastmod>2019-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-join-meet-ideals-of-modular-lattices-1806.05200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-join-meet-ideals-of-modular-lattices-1806.05200"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-use-of-frobenius-map-and-d-modules-in-local-cohomology-1806.05531</loc><lastmod>2018-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-use-of-frobenius-map-and-d-modules-in-local-cohomology-1806.05531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-use-of-frobenius-map-and-d-modules-in-local-cohomology-1806.05531"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-lefschetz-property-for-complete-intersections-defined-by-products-of-linear-forms-1806.06154</loc><lastmod>2018-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-complete-intersections-defined-by-products-of-linear-forms-1806.06154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-complete-intersections-defined-by-products-of-linear-forms-1806.06154"/></url>
<url><loc>https://scifaro.com/en/abs/the-determinant-of-the-second-additive-compound-of-a-square-matrix-a-formula-and-applications-1806.07162</loc><lastmod>2018-06-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-determinant-of-the-second-additive-compound-of-a-square-matrix-a-formula-and-applications-1806.07162"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-determinant-of-the-second-additive-compound-of-a-square-matrix-a-formula-and-applications-1806.07162"/></url>
<url><loc>https://scifaro.com/en/abs/chordality-d-collapsibility-and-componentwise-linear-ideals-1806.07211</loc><lastmod>2018-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chordality-d-collapsibility-and-componentwise-linear-ideals-1806.07211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chordality-d-collapsibility-and-componentwise-linear-ideals-1806.07211"/></url>
<url><loc>https://scifaro.com/en/abs/eakin-sathaye-type-theorems-for-joint-reductions-and-good-filtrations-of-ideals-1806.07518</loc><lastmod>2019-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eakin-sathaye-type-theorems-for-joint-reductions-and-good-filtrations-of-ideals-1806.07518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eakin-sathaye-type-theorems-for-joint-reductions-and-good-filtrations-of-ideals-1806.07518"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-of-powers-of-ideals-and-tight-hilbert-polynomials-1806.07522</loc><lastmod>2020-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-of-powers-of-ideals-and-tight-hilbert-polynomials-1806.07522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-of-powers-of-ideals-and-tight-hilbert-polynomials-1806.07522"/></url>
<url><loc>https://scifaro.com/en/abs/a-computational-criterion-for-the-irrationality-of-some-real-numbers-1806.07560</loc><lastmod>2020-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-computational-criterion-for-the-irrationality-of-some-real-numbers-1806.07560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-computational-criterion-for-the-irrationality-of-some-real-numbers-1806.07560"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-product-of-pure-power-complete-intersections-1806.07616</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-product-of-pure-power-complete-intersections-1806.07616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-product-of-pure-power-complete-intersections-1806.07616"/></url>
<url><loc>https://scifaro.com/en/abs/the-hochschild-cohomology-of-square-free-monomial-complete-intersections-1806.07802</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hochschild-cohomology-of-square-free-monomial-complete-intersections-1806.07802"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hochschild-cohomology-of-square-free-monomial-complete-intersections-1806.07802"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-t-spread-principal-borel-ideals-1806.07828</loc><lastmod>2018-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-t-spread-principal-borel-ideals-1806.07828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-t-spread-principal-borel-ideals-1806.07828"/></url>
<url><loc>https://scifaro.com/en/abs/multi-rees-algebras-and-toric-dynamical-systems-1806.08184</loc><lastmod>2019-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multi-rees-algebras-and-toric-dynamical-systems-1806.08184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multi-rees-algebras-and-toric-dynamical-systems-1806.08184"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-of-a-special-class-of-artinian-algebras-over-fields-of-positive-characteristic-1806.08529</loc><lastmod>2018-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-a-special-class-of-artinian-algebras-over-fields-of-positive-characteristic-1806.08529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-a-special-class-of-artinian-algebras-over-fields-of-positive-characteristic-1806.08529"/></url>
<url><loc>https://scifaro.com/en/abs/the-tree-of-quadratic-transforms-of-a-regular-local-ring-of-dimension-two-1806.08736</loc><lastmod>2018-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-tree-of-quadratic-transforms-of-a-regular-local-ring-of-dimension-two-1806.08736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-tree-of-quadratic-transforms-of-a-regular-local-ring-of-dimension-two-1806.08736"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-nullstellensatz-over-finite-fields-1806.09489</loc><lastmod>2018-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-nullstellensatz-over-finite-fields-1806.09489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-nullstellensatz-over-finite-fields-1806.09489"/></url>
<url><loc>https://scifaro.com/en/abs/singularities-in-mixed-characteristic-via-perfectoid-big-cohen-macaulay-algebras-1806.09567</loc><lastmod>2020-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singularities-in-mixed-characteristic-via-perfectoid-big-cohen-macaulay-algebras-1806.09567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singularities-in-mixed-characteristic-via-perfectoid-big-cohen-macaulay-algebras-1806.09567"/></url>
<url><loc>https://scifaro.com/en/abs/krull-s-principal-ideal-theorem-in-non-noetherian-settings-1806.10035</loc><lastmod>2020-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-s-principal-ideal-theorem-in-non-noetherian-settings-1806.10035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-s-principal-ideal-theorem-in-non-noetherian-settings-1806.10035"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-gorenstein-rings-using-contracting-endomorphisms-1806.10086</loc><lastmod>2019-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-gorenstein-rings-using-contracting-endomorphisms-1806.10086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-gorenstein-rings-using-contracting-endomorphisms-1806.10086"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-a-theorem-of-frobenius-and-stickelberger-to-modules-of-projective-dimension-one-over-a-factorial-domain-1806.10117</loc><lastmod>2018-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-a-theorem-of-frobenius-and-stickelberger-to-modules-of-projective-dimension-one-over-a-factorial-domain-1806.10117"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-a-theorem-of-frobenius-and-stickelberger-to-modules-of-projective-dimension-one-over-a-factorial-domain-1806.10117"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-quotients-of-modular-invariant-rings-by-transfer-ideals-1806.10946</loc><lastmod>2018-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-quotients-of-modular-invariant-rings-by-transfer-ideals-1806.10946"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-quotients-of-modular-invariant-rings-by-transfer-ideals-1806.10946"/></url>
<url><loc>https://scifaro.com/en/abs/modular-covariants-of-cyclic-groups-of-order-p-1806.11024</loc><lastmod>2019-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-covariants-of-cyclic-groups-of-order-p-1806.11024"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-covariants-of-cyclic-groups-of-order-p-1806.11024"/></url>
<url><loc>https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-given-frobenius-number-and-type-1806.11097</loc><lastmod>2018-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-given-frobenius-number-and-type-1806.11097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-given-frobenius-number-and-type-1806.11097"/></url>
<url><loc>https://scifaro.com/en/abs/augmented-hilbert-series-of-numerical-semigroups-1806.11148</loc><lastmod>2019-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/augmented-hilbert-series-of-numerical-semigroups-1806.11148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/augmented-hilbert-series-of-numerical-semigroups-1806.11148"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-system-of-sets-of-lengths-and-the-elasticity-of-submonoids-of-a-finite-rank-free-commutative-monoid-1806.11273</loc><lastmod>2019-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-system-of-sets-of-lengths-and-the-elasticity-of-submonoids-of-a-finite-rank-free-commutative-monoid-1806.11273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-system-of-sets-of-lengths-and-the-elasticity-of-submonoids-of-a-finite-rank-free-commutative-monoid-1806.11273"/></url>
<url><loc>https://scifaro.com/en/abs/on-free-numerical-semigroups-and-the-construction-of-minimal-telescopic-sequences-1806.11381</loc><lastmod>2019-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-free-numerical-semigroups-and-the-construction-of-minimal-telescopic-sequences-1806.11381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-free-numerical-semigroups-and-the-construction-of-minimal-telescopic-sequences-1806.11381"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-1806.11442</loc><lastmod>2019-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-1806.11442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-1806.11442"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-ii-1806.11443</loc><lastmod>2018-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-ii-1806.11443"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-new-extension-of-the-zero-divisor-graph-ii-1806.11443"/></url>
<url><loc>https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-1807.00134</loc><lastmod>2018-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-1807.00134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-1807.00134"/></url>
<url><loc>https://scifaro.com/en/abs/rings-whose-ideals-are-isomorphic-to-trace-ideals-1807.00291</loc><lastmod>2018-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-whose-ideals-are-isomorphic-to-trace-ideals-1807.00291"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-whose-ideals-are-isomorphic-to-trace-ideals-1807.00291"/></url>
<url><loc>https://scifaro.com/en/abs/two-generalizations-of-auslander-reiten-duality-and-applications-1807.00380</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-generalizations-of-auslander-reiten-duality-and-applications-1807.00380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-generalizations-of-auslander-reiten-duality-and-applications-1807.00380"/></url>
<url><loc>https://scifaro.com/en/abs/an-elementary-and-constructive-proof-of-grothendieck-s-generic-freeness-lemma-1807.01231</loc><lastmod>2018-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-elementary-and-constructive-proof-of-grothendieck-s-generic-freeness-lemma-1807.01231"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-elementary-and-constructive-proof-of-grothendieck-s-generic-freeness-lemma-1807.01231"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-of-equigenerated-monomial-ideals-1807.02138</loc><lastmod>2021-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-equigenerated-monomial-ideals-1807.02138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-equigenerated-monomial-ideals-1807.02138"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-toric-ideals-of-graphs-a-case-study-1807.02154</loc><lastmod>2019-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-toric-ideals-of-graphs-a-case-study-1807.02154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-toric-ideals-of-graphs-a-case-study-1807.02154"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-prime-elements-in-normal-two-dimensional-graded-rings-1807.02738</loc><lastmod>2018-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-prime-elements-in-normal-two-dimensional-graded-rings-1807.02738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-prime-elements-in-normal-two-dimensional-graded-rings-1807.02738"/></url>
<url><loc>https://scifaro.com/en/abs/on-g-and-local-g-vectors-of-the-interval-subdivision-1807.02806</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-g-and-local-g-vectors-of-the-interval-subdivision-1807.02806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-g-and-local-g-vectors-of-the-interval-subdivision-1807.02806"/></url>
<url><loc>https://scifaro.com/en/abs/lexsegment-ideals-and-their-h-polynomials-1807.02834</loc><lastmod>2018-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lexsegment-ideals-and-their-h-polynomials-1807.02834"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lexsegment-ideals-and-their-h-polynomials-1807.02834"/></url>
<url><loc>https://scifaro.com/en/abs/polytope-volume-by-descent-in-the-face-lattice-and-applications-in-social-choice-1807.02835</loc><lastmod>2020-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polytope-volume-by-descent-in-the-face-lattice-and-applications-in-social-choice-1807.02835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polytope-volume-by-descent-in-the-face-lattice-and-applications-in-social-choice-1807.02835"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-gorenstein-algebras-that-are-free-extensions-over-sf-k-t-t-n-and-macaulay-duality-1807.02881</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-that-are-free-extensions-over-sf-k-t-t-n-and-macaulay-duality-1807.02881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-that-are-free-extensions-over-sf-k-t-t-n-and-macaulay-duality-1807.02881"/></url>
<url><loc>https://scifaro.com/en/abs/the-derived-category-analogues-of-faltings-local-global-principle-and-annihilator-theorems-1807.03056</loc><lastmod>2018-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-derived-category-analogues-of-faltings-local-global-principle-and-annihilator-theorems-1807.03056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-derived-category-analogues-of-faltings-local-global-principle-and-annihilator-theorems-1807.03056"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-two-perfect-ideals-1807.03189</loc><lastmod>2019-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-two-perfect-ideals-1807.03189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-two-perfect-ideals-1807.03189"/></url>
<url><loc>https://scifaro.com/en/abs/reddening-sequences-for-banff-quivers-and-the-class-mathcal-p-1807.03359</loc><lastmod>2020-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reddening-sequences-for-banff-quivers-and-the-class-mathcal-p-1807.03359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reddening-sequences-for-banff-quivers-and-the-class-mathcal-p-1807.03359"/></url>
<url><loc>https://scifaro.com/en/abs/the-uniform-symbolic-topology-property-for-diagonally-f-regular-algebras-1807.03928</loc><lastmod>2022-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-uniform-symbolic-topology-property-for-diagonally-f-regular-algebras-1807.03928"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-uniform-symbolic-topology-property-for-diagonally-f-regular-algebras-1807.03928"/></url>
<url><loc>https://scifaro.com/en/abs/topological-rigidity-as-a-monoidal-equivalence-1807.04026</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topological-rigidity-as-a-monoidal-equivalence-1807.04026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topological-rigidity-as-a-monoidal-equivalence-1807.04026"/></url>
<url><loc>https://scifaro.com/en/abs/representation-theoretic-properties-of-balanced-big-cohen-macaulay-modules-1807.04508</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/representation-theoretic-properties-of-balanced-big-cohen-macaulay-modules-1807.04508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/representation-theoretic-properties-of-balanced-big-cohen-macaulay-modules-1807.04508"/></url>
<url><loc>https://scifaro.com/en/abs/gaussian-and-pr-ufer-conditions-in-bi-amalgamated-algebras-1807.04791</loc><lastmod>2018-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gaussian-and-pr-ufer-conditions-in-bi-amalgamated-algebras-1807.04791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gaussian-and-pr-ufer-conditions-in-bi-amalgamated-algebras-1807.04791"/></url>
<url><loc>https://scifaro.com/en/abs/moh-s-example-of-algebroid-space-curves-1807.04909</loc><lastmod>2020-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/moh-s-example-of-algebroid-space-curves-1807.04909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/moh-s-example-of-algebroid-space-curves-1807.04909"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-and-spreading-of-monomial-ideals-1807.05028</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-and-spreading-of-monomial-ideals-1807.05028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-and-spreading-of-monomial-ideals-1807.05028"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohomology-annihilator-of-a-curve-singularity-1807.05471</loc><lastmod>2021-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohomology-annihilator-of-a-curve-singularity-1807.05471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohomology-annihilator-of-a-curve-singularity-1807.05471"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-and-depolarization-of-monomial-ideals-with-application-to-multistate-system-reliability-1807.05743</loc><lastmod>2020-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-and-depolarization-of-monomial-ideals-with-application-to-multistate-system-reliability-1807.05743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-and-depolarization-of-monomial-ideals-with-application-to-multistate-system-reliability-1807.05743"/></url>
<url><loc>https://scifaro.com/en/abs/2-dimensional-vertex-decomposable-circulant-graphs-1807.05755</loc><lastmod>2018-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-dimensional-vertex-decomposable-circulant-graphs-1807.05755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-dimensional-vertex-decomposable-circulant-graphs-1807.05755"/></url>
<url><loc>https://scifaro.com/en/abs/free-extensions-and-lefschetz-properties-with-an-application-to-rings-of-relative-coinvariants-1807.05869</loc><lastmod>2021-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-extensions-and-lefschetz-properties-with-an-application-to-rings-of-relative-coinvariants-1807.05869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-extensions-and-lefschetz-properties-with-an-application-to-rings-of-relative-coinvariants-1807.05869"/></url>
<url><loc>https://scifaro.com/en/abs/the-minkowski-equality-and-inequality-for-multiplicity-of-ideals-1807.06309</loc><lastmod>2019-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minkowski-equality-and-inequality-for-multiplicity-of-ideals-1807.06309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minkowski-equality-and-inequality-for-multiplicity-of-ideals-1807.06309"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-and-classification-of-length-functions-1807.06396</loc><lastmod>2018-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-and-classification-of-length-functions-1807.06396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-and-classification-of-length-functions-1807.06396"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-binomial-edge-ideals-1807.07273</loc><lastmod>2019-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-binomial-edge-ideals-1807.07273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-binomial-edge-ideals-1807.07273"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-functors-small-or-large-1807.07851</loc><lastmod>2019-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-functors-small-or-large-1807.07851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-functors-small-or-large-1807.07851"/></url>
<url><loc>https://scifaro.com/en/abs/on-ideals-generated-by-fold-products-of-linear-forms-1807.08021</loc><lastmod>2018-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ideals-generated-by-fold-products-of-linear-forms-1807.08021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ideals-generated-by-fold-products-of-linear-forms-1807.08021"/></url>
<url><loc>https://scifaro.com/en/abs/when-the-zariski-space-is-a-noetherian-space-1807.08645</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-the-zariski-space-is-a-noetherian-space-1807.08645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-the-zariski-space-is-a-noetherian-space-1807.08645"/></url>
<url><loc>https://scifaro.com/en/abs/integrable-derivations-in-the-sense-of-hasse-schmidt-for-some-binomial-plane-curve-1807.10502</loc><lastmod>2026-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrable-derivations-in-the-sense-of-hasse-schmidt-for-some-binomial-plane-curve-1807.10502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrable-derivations-in-the-sense-of-hasse-schmidt-for-some-binomial-plane-curve-1807.10502"/></url>
<url><loc>https://scifaro.com/en/abs/on-strongly-primary-monoids-and-domains-1807.10683</loc><lastmod>2020-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strongly-primary-monoids-and-domains-1807.10683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strongly-primary-monoids-and-domains-1807.10683"/></url>
<url><loc>https://scifaro.com/en/abs/the-number-of-addends-in-the-decomposition-of-an-element-of-a-numerical-semigroup-into-atoms-1807.10907</loc><lastmod>2018-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-number-of-addends-in-the-decomposition-of-an-element-of-a-numerical-semigroup-into-atoms-1807.10907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-number-of-addends-in-the-decomposition-of-an-element-of-a-numerical-semigroup-into-atoms-1807.10907"/></url>
<url><loc>https://scifaro.com/en/abs/decomposable-clutters-and-a-generalization-of-simon-s-conjectutre-1807.11012</loc><lastmod>2018-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposable-clutters-and-a-generalization-of-simon-s-conjectutre-1807.11012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposable-clutters-and-a-generalization-of-simon-s-conjectutre-1807.11012"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-z-ideals-and-z-0-ideals-1807.11030</loc><lastmod>2018-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-z-ideals-and-z-0-ideals-1807.11030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-z-ideals-and-z-0-ideals-1807.11030"/></url>
<url><loc>https://scifaro.com/en/abs/solving-square-polynomial-systems-a-practical-method-using-bezout-matrices-1807.11088</loc><lastmod>2018-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solving-square-polynomial-systems-a-practical-method-using-bezout-matrices-1807.11088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solving-square-polynomial-systems-a-practical-method-using-bezout-matrices-1807.11088"/></url>
<url><loc>https://scifaro.com/en/abs/on-elasticities-of-locally-finitely-generated-monoids-1807.11523</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-elasticities-of-locally-finitely-generated-monoids-1807.11523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-elasticities-of-locally-finitely-generated-monoids-1807.11523"/></url>
<url><loc>https://scifaro.com/en/abs/on-semidualizing-modules-of-ladder-determinantal-rings-1807.11601</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-semidualizing-modules-of-ladder-determinantal-rings-1807.11601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-semidualizing-modules-of-ladder-determinantal-rings-1807.11601"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-vanishing-of-homogeneous-components-of-multigraded-modules-and-its-applications-1807.11670</loc><lastmod>2018-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-vanishing-of-homogeneous-components-of-multigraded-modules-and-its-applications-1807.11670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-vanishing-of-homogeneous-components-of-multigraded-modules-and-its-applications-1807.11670"/></url>
<url><loc>https://scifaro.com/en/abs/inside-factorial-monoids-and-the-cale-monoid-of-a-single-diophantine-equation-1807.11885</loc><lastmod>2018-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inside-factorial-monoids-and-the-cale-monoid-of-a-single-diophantine-equation-1807.11885"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inside-factorial-monoids-and-the-cale-monoid-of-a-single-diophantine-equation-1807.11885"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-cyclotomic-polynomials-1808.00159</loc><lastmod>2022-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-cyclotomic-polynomials-1808.00159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-cyclotomic-polynomials-1808.00159"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-freeness-of-schur-modules-1808.00602</loc><lastmod>2018-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-freeness-of-schur-modules-1808.00602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-freeness-of-schur-modules-1808.00602"/></url>
<url><loc>https://scifaro.com/en/abs/lech-s-inequality-the-st-u-ckrad-vogel-conjecture-and-uniform-behavior-of-koszul-homology-1808.01051</loc><lastmod>2019-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lech-s-inequality-the-st-u-ckrad-vogel-conjecture-and-uniform-behavior-of-koszul-homology-1808.01051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lech-s-inequality-the-st-u-ckrad-vogel-conjecture-and-uniform-behavior-of-koszul-homology-1808.01051"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-resurgence-via-integral-closures-1808.01547</loc><lastmod>2018-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-resurgence-via-integral-closures-1808.01547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-resurgence-via-integral-closures-1808.01547"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-endomorphism-rings-of-large-finite-global-dimension-1808.01704</loc><lastmod>2020-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-endomorphism-rings-of-large-finite-global-dimension-1808.01704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-endomorphism-rings-of-large-finite-global-dimension-1808.01704"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-projective-dimension-of-5-quadric-almost-complete-intersections-with-low-multiplicities-1808.01822</loc><lastmod>2018-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-projective-dimension-of-5-quadric-almost-complete-intersections-with-low-multiplicities-1808.01822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-projective-dimension-of-5-quadric-almost-complete-intersections-with-low-multiplicities-1808.01822"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-module-of-differentials-of-order-n-of-hypersurfaces-1808.02099</loc><lastmod>2018-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-module-of-differentials-of-order-n-of-hypersurfaces-1808.02099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-module-of-differentials-of-order-n-of-hypersurfaces-1808.02099"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-solutions-of-the-rational-interpolation-problem-1808.02575</loc><lastmod>2019-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-solutions-of-the-rational-interpolation-problem-1808.02575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-solutions-of-the-rational-interpolation-problem-1808.02575"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-algebraic-properties-of-the-ring-of-dirichlet-convolutions-1808.02700</loc><lastmod>2024-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-algebraic-properties-of-the-ring-of-dirichlet-convolutions-1808.02700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-algebraic-properties-of-the-ring-of-dirichlet-convolutions-1808.02700"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-and-stanley-depth-of-integral-closure-of-powers-of-monomial-ideals-1808.03189</loc><lastmod>2018-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-and-stanley-depth-of-integral-closure-of-powers-of-monomial-ideals-1808.03189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-and-stanley-depth-of-integral-closure-of-powers-of-monomial-ideals-1808.03189"/></url>
<url><loc>https://scifaro.com/en/abs/openness-of-the-regular-locus-and-generators-for-module-categories-1808.03678</loc><lastmod>2018-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/openness-of-the-regular-locus-and-generators-for-module-categories-1808.03678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/openness-of-the-regular-locus-and-generators-for-module-categories-1808.03678"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-density-functions-and-f-thresholds-1808.04093</loc><lastmod>2020-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-density-functions-and-f-thresholds-1808.04093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-density-functions-and-f-thresholds-1808.04093"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-support-of-local-and-formal-cohomology-1808.04652</loc><lastmod>2018-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-support-of-local-and-formal-cohomology-1808.04652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-support-of-local-and-formal-cohomology-1808.04652"/></url>
<url><loc>https://scifaro.com/en/abs/plus-one-generated-and-next-to-free-arrangements-of-hyperplanes-1808.04697</loc><lastmod>2018-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/plus-one-generated-and-next-to-free-arrangements-of-hyperplanes-1808.04697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/plus-one-generated-and-next-to-free-arrangements-of-hyperplanes-1808.04697"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-polynomial-bounds-on-prime-ideals-in-polynomial-rings-over-fields-1808.04805</loc><lastmod>2020-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-polynomial-bounds-on-prime-ideals-in-polynomial-rings-over-fields-1808.04805"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-polynomial-bounds-on-prime-ideals-in-polynomial-rings-over-fields-1808.04805"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-determinantal-thickenings-and-representations-of-the-general-linear-lie-superalgebra-1808.05649</loc><lastmod>2019-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-determinantal-thickenings-and-representations-of-the-general-linear-lie-superalgebra-1808.05649"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-determinantal-thickenings-and-representations-of-the-general-linear-lie-superalgebra-1808.05649"/></url>
<url><loc>https://scifaro.com/en/abs/membership-criteria-and-containments-of-powers-of-monomial-ideals-1808.05899</loc><lastmod>2021-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/membership-criteria-and-containments-of-powers-of-monomial-ideals-1808.05899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/membership-criteria-and-containments-of-powers-of-monomial-ideals-1808.05899"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-binomial-edge-ideals-of-trees-1808.06374</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-binomial-edge-ideals-of-trees-1808.06374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-binomial-edge-ideals-of-trees-1808.06374"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-polymatroidal-property-of-monomial-ideals-with-a-view-towards-orderings-of-minimal-generators-1808.06438</loc><lastmod>2018-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-polymatroidal-property-of-monomial-ideals-with-a-view-towards-orderings-of-minimal-generators-1808.06438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-polymatroidal-property-of-monomial-ideals-with-a-view-towards-orderings-of-minimal-generators-1808.06438"/></url>
<url><loc>https://scifaro.com/en/abs/graded-ar-sequences-and-the-huneke-wiegand-conjecture-1808.06600</loc><lastmod>2018-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-ar-sequences-and-the-huneke-wiegand-conjecture-1808.06600"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-ar-sequences-and-the-huneke-wiegand-conjecture-1808.06600"/></url>
<url><loc>https://scifaro.com/en/abs/deterministic-factorization-of-sparse-polynomials-with-bounded-individual-degree-1808.06655</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deterministic-factorization-of-sparse-polynomials-with-bounded-individual-degree-1808.06655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deterministic-factorization-of-sparse-polynomials-with-bounded-individual-degree-1808.06655"/></url>
<url><loc>https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-1808.06953</loc><lastmod>2018-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-1808.06953"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-1808.06953"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-h-polynomials-of-binomial-edge-ideals-1808.06984</loc><lastmod>2020-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-binomial-edge-ideals-1808.06984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-binomial-edge-ideals-1808.06984"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-regularity-of-powers-of-two-dimensional-squarefree-monomial-ideals-1808.07266</loc><lastmod>2020-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-regularity-of-powers-of-two-dimensional-squarefree-monomial-ideals-1808.07266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-regularity-of-powers-of-two-dimensional-squarefree-monomial-ideals-1808.07266"/></url>
<url><loc>https://scifaro.com/en/abs/nondiscreteness-of-f-thresholds-1808.07321</loc><lastmod>2018-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nondiscreteness-of-f-thresholds-1808.07321"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nondiscreteness-of-f-thresholds-1808.07321"/></url>
<url><loc>https://scifaro.com/en/abs/specifying-the-auslander-transpose-in-submodule-category-and-its-applications-1808.07508</loc><lastmod>2019-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/specifying-the-auslander-transpose-in-submodule-category-and-its-applications-1808.07508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/specifying-the-auslander-transpose-in-submodule-category-and-its-applications-1808.07508"/></url>
<url><loc>https://scifaro.com/en/abs/gorensteinness-of-short-local-rings-in-terms-of-the-vanishing-of-ext-and-tor-1808.07711</loc><lastmod>2020-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorensteinness-of-short-local-rings-in-terms-of-the-vanishing-of-ext-and-tor-1808.07711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorensteinness-of-short-local-rings-in-terms-of-the-vanishing-of-ext-and-tor-1808.07711"/></url>
<url><loc>https://scifaro.com/en/abs/directed-unions-of-local-monoidal-transforms-and-gcd-domains-1808.07735</loc><lastmod>2018-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/directed-unions-of-local-monoidal-transforms-and-gcd-domains-1808.07735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/directed-unions-of-local-monoidal-transforms-and-gcd-domains-1808.07735"/></url>
<url><loc>https://scifaro.com/en/abs/circulant-matrices-and-galois-togliatti-systems-1808.08387</loc><lastmod>2018-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/circulant-matrices-and-galois-togliatti-systems-1808.08387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/circulant-matrices-and-galois-togliatti-systems-1808.08387"/></url>
<url><loc>https://scifaro.com/en/abs/predicted-decay-ideal-1808.09030</loc><lastmod>2019-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/predicted-decay-ideal-1808.09030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/predicted-decay-ideal-1808.09030"/></url>
<url><loc>https://scifaro.com/en/abs/on-completion-of-graded-d-modules-1808.09035</loc><lastmod>2018-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-completion-of-graded-d-modules-1808.09035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-completion-of-graded-d-modules-1808.09035"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-not-complete-intersection-numerical-semigroups-generated-by-six-elements-1808.09065</loc><lastmod>2018-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-not-complete-intersection-numerical-semigroups-generated-by-six-elements-1808.09065"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-not-complete-intersection-numerical-semigroups-generated-by-six-elements-1808.09065"/></url>
<url><loc>https://scifaro.com/en/abs/on-p-g-ideals-1808.09130</loc><lastmod>2018-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-p-g-ideals-1808.09130"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-p-g-ideals-1808.09130"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-powers-of-some-monomial-ideals-1808.09508</loc><lastmod>2018-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-powers-of-some-monomial-ideals-1808.09508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-powers-of-some-monomial-ideals-1808.09508"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-in-numerical-semigroup-algebras-1808.10616</loc><lastmod>2018-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-in-numerical-semigroup-algebras-1808.10616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-in-numerical-semigroup-algebras-1808.10616"/></url>
<url><loc>https://scifaro.com/en/abs/linear-syzygy-graph-and-linear-resolution-1809.00133</loc><lastmod>2018-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-syzygy-graph-and-linear-resolution-1809.00133"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-syzygy-graph-and-linear-resolution-1809.00133"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-the-powers-of-an-ideal-1809.00209</loc><lastmod>2023-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-the-powers-of-an-ideal-1809.00209"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-the-powers-of-an-ideal-1809.00209"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-d-modules-on-2x2x2-hypermatrices-1809.00352</loc><lastmod>2021-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-d-modules-on-2x2x2-hypermatrices-1809.00352"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-d-modules-on-2x2x2-hypermatrices-1809.00352"/></url>
<url><loc>https://scifaro.com/en/abs/semi-invariants-of-binary-forms-and-symmetrized-graph-monomials-1809.00369</loc><lastmod>2021-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-invariants-of-binary-forms-and-symmetrized-graph-monomials-1809.00369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-invariants-of-binary-forms-and-symmetrized-graph-monomials-1809.00369"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-seminormal-c-monoids-1809.00570</loc><lastmod>2019-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-seminormal-c-monoids-1809.00570"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-seminormal-c-monoids-1809.00570"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-on-good-semigroup-ideals-1809.00583</loc><lastmod>2018-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-on-good-semigroup-ideals-1809.00583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-on-good-semigroup-ideals-1809.00583"/></url>
<url><loc>https://scifaro.com/en/abs/projective-systemic-modules-1809.01996</loc><lastmod>2019-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-systemic-modules-1809.01996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-systemic-modules-1809.01996"/></url>
<url><loc>https://scifaro.com/en/abs/splittings-and-symbolic-powers-of-square-free-monomial-ideals-1809.02308</loc><lastmod>2019-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splittings-and-symbolic-powers-of-square-free-monomial-ideals-1809.02308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splittings-and-symbolic-powers-of-square-free-monomial-ideals-1809.02308"/></url>
<url><loc>https://scifaro.com/en/abs/on-asymptotic-vanishing-behavior-of-local-cohomology-1809.02310</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-asymptotic-vanishing-behavior-of-local-cohomology-1809.02310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-asymptotic-vanishing-behavior-of-local-cohomology-1809.02310"/></url>
<url><loc>https://scifaro.com/en/abs/hyperfields-truncated-dvrs-and-valued-fields-1809.02483</loc><lastmod>2018-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hyperfields-truncated-dvrs-and-valued-fields-1809.02483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hyperfields-truncated-dvrs-and-valued-fields-1809.02483"/></url>
<url><loc>https://scifaro.com/en/abs/nullstellens-atze-and-applications-1809.02818</loc><lastmod>2022-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nullstellens-atze-and-applications-1809.02818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nullstellens-atze-and-applications-1809.02818"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-betti-numbers-of-some-cohen-macaulay-binomial-edge-ideals-1809.03423</loc><lastmod>2018-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-some-cohen-macaulay-binomial-edge-ideals-1809.03423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-some-cohen-macaulay-binomial-edge-ideals-1809.03423"/></url>
<url><loc>https://scifaro.com/en/abs/the-descent-of-biquaternion-algebras-in-characteristic-two-1809.03965</loc><lastmod>2019-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-descent-of-biquaternion-algebras-in-characteristic-two-1809.03965"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-descent-of-biquaternion-algebras-in-characteristic-two-1809.03965"/></url>
<url><loc>https://scifaro.com/en/abs/quantum-version-of-wielandt-s-inequality-revisited-1809.04387</loc><lastmod>2018-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quantum-version-of-wielandt-s-inequality-revisited-1809.04387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quantum-version-of-wielandt-s-inequality-revisited-1809.04387"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-hom-injective-dimension-1809.05153</loc><lastmod>2018-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-hom-injective-dimension-1809.05153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-hom-injective-dimension-1809.05153"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-matchings-and-cameron-walker-graphs-1809.05377</loc><lastmod>2018-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-matchings-and-cameron-walker-graphs-1809.05377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-matchings-and-cameron-walker-graphs-1809.05377"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-numbers-for-pfaffian-rings-1809.06745</loc><lastmod>2019-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-numbers-for-pfaffian-rings-1809.06745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-numbers-for-pfaffian-rings-1809.06745"/></url>
<url><loc>https://scifaro.com/en/abs/codimension-and-projective-dimension-up-to-symmetry-1809.06877</loc><lastmod>2020-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/codimension-and-projective-dimension-up-to-symmetry-1809.06877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/codimension-and-projective-dimension-up-to-symmetry-1809.06877"/></url>
<url><loc>https://scifaro.com/en/abs/a-stable-version-of-harbourne-s-conjecture-and-the-containment-problem-for-space-monomial-curves-1809.06955</loc><lastmod>2020-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-stable-version-of-harbourne-s-conjecture-and-the-containment-problem-for-space-monomial-curves-1809.06955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-stable-version-of-harbourne-s-conjecture-and-the-containment-problem-for-space-monomial-curves-1809.06955"/></url>
<url><loc>https://scifaro.com/en/abs/bicomplex-third-order-jacobsthal-quaternions-1809.06979</loc><lastmod>2024-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bicomplex-third-order-jacobsthal-quaternions-1809.06979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bicomplex-third-order-jacobsthal-quaternions-1809.06979"/></url>
<url><loc>https://scifaro.com/en/abs/key-polynomials-separate-and-immediate-valuations-and-simple-extensions-of-valued-fields-1809.07092</loc><lastmod>2022-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/key-polynomials-separate-and-immediate-valuations-and-simple-extensions-of-valued-fields-1809.07092"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/key-polynomials-separate-and-immediate-valuations-and-simple-extensions-of-valued-fields-1809.07092"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-castelnuovo-mumford-regularity-and-hilbert-coefficients-1809.07461</loc><lastmod>2018-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-castelnuovo-mumford-regularity-and-hilbert-coefficients-1809.07461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-castelnuovo-mumford-regularity-and-hilbert-coefficients-1809.07461"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-monomial-ideals-and-combinatorics-1809.07464</loc><lastmod>2018-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-and-combinatorics-1809.07464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-and-combinatorics-1809.07464"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-indecomposable-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1809.07944</loc><lastmod>2018-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-indecomposable-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1809.07944"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-indecomposable-integrally-closed-modules-over-a-two-dimensional-regular-local-ring-1809.07944"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-multiplicity-of-toric-rings-of-three-dimensional-ferrers-diagrams-1809.08351</loc><lastmod>2022-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-multiplicity-of-toric-rings-of-three-dimensional-ferrers-diagrams-1809.08351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-multiplicity-of-toric-rings-of-three-dimensional-ferrers-diagrams-1809.08351"/></url>
<url><loc>https://scifaro.com/en/abs/modules-projectifs-de-type-fini-applications-lin-eaires-crois-ees-et-inverses-g-en-eralis-es-1809.08769</loc><lastmod>2018-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-projectifs-de-type-fini-applications-lin-eaires-crois-ees-et-inverses-g-en-eralis-es-1809.08769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-projectifs-de-type-fini-applications-lin-eaires-crois-ees-et-inverses-g-en-eralis-es-1809.08769"/></url>
<url><loc>https://scifaro.com/en/abs/in-the-shadows-of-a-hypergraph-looking-for-associated-primes-of-powers-of-squarefree-monomial-ideals-1809.08796</loc><lastmod>2018-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/in-the-shadows-of-a-hypergraph-looking-for-associated-primes-of-powers-of-squarefree-monomial-ideals-1809.08796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/in-the-shadows-of-a-hypergraph-looking-for-associated-primes-of-powers-of-squarefree-monomial-ideals-1809.08796"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-jumping-numbers-in-a-two-dimensional-regular-local-ring-1809.08845</loc><lastmod>2018-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-jumping-numbers-in-a-two-dimensional-regular-local-ring-1809.08845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-jumping-numbers-in-a-two-dimensional-regular-local-ring-1809.08845"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-defining-equations-of-rees-algebra-of-a-height-two-perfect-ideal-using-the-theory-of-d-modules-1809.08917</loc><lastmod>2018-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-defining-equations-of-rees-algebra-of-a-height-two-perfect-ideal-using-the-theory-of-d-modules-1809.08917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-defining-equations-of-rees-algebra-of-a-height-two-perfect-ideal-using-the-theory-of-d-modules-1809.08917"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-d-modules-on-alternating-senary-3-tensors-1809.08955</loc><lastmod>2019-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-d-modules-on-alternating-senary-3-tensors-1809.08955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-d-modules-on-alternating-senary-3-tensors-1809.08955"/></url>
<url><loc>https://scifaro.com/en/abs/seminormalization-package-for-macaulay2-1809.09256</loc><lastmod>2020-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/seminormalization-package-for-macaulay2-1809.09256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/seminormalization-package-for-macaulay2-1809.09256"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-and-equations-of-the-multi-rees-algebras-1809.09316</loc><lastmod>2019-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-equations-of-the-multi-rees-algebras-1809.09316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-equations-of-the-multi-rees-algebras-1809.09316"/></url>
<url><loc>https://scifaro.com/en/abs/cubics-in-10-variables-vs-cubics-in-1000-variables-uniformity-phenomena-for-bounded-degree-polynomials-1809.09402</loc><lastmod>2019-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cubics-in-10-variables-vs-cubics-in-1000-variables-uniformity-phenomena-for-bounded-degree-polynomials-1809.09402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cubics-in-10-variables-vs-cubics-in-1000-variables-uniformity-phenomena-for-bounded-degree-polynomials-1809.09402"/></url>
<url><loc>https://scifaro.com/en/abs/the-zariski-riemann-space-of-valuation-domains-associated-to-pseudo-convergent-sequences-1809.09539</loc><lastmod>2021-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zariski-riemann-space-of-valuation-domains-associated-to-pseudo-convergent-sequences-1809.09539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zariski-riemann-space-of-valuation-domains-associated-to-pseudo-convergent-sequences-1809.09539"/></url>
<url><loc>https://scifaro.com/en/abs/unboundedness-of-markov-complexity-of-monomial-curves-in-mathbb-a-n-for-n-geq-4-1809.09932</loc><lastmod>2018-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unboundedness-of-markov-complexity-of-monomial-curves-in-mathbb-a-n-for-n-geq-4-1809.09932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unboundedness-of-markov-complexity-of-monomial-curves-in-mathbb-a-n-for-n-geq-4-1809.09932"/></url>
<url><loc>https://scifaro.com/en/abs/moment-ideals-of-local-dirac-mixtures-1809.09934</loc><lastmod>2020-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/moment-ideals-of-local-dirac-mixtures-1809.09934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/moment-ideals-of-local-dirac-mixtures-1809.09934"/></url>
<url><loc>https://scifaro.com/en/abs/a-sufficient-condition-for-finiteness-of-frobenius-test-exponents-1809.10063</loc><lastmod>2021-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sufficient-condition-for-finiteness-of-frobenius-test-exponents-1809.10063"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sufficient-condition-for-finiteness-of-frobenius-test-exponents-1809.10063"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-properties-of-ls-algebras-1809.10191</loc><lastmod>2018-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-properties-of-ls-algebras-1809.10191"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-properties-of-ls-algebras-1809.10191"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-quasi-complete-intersection-ideals-1809.11094</loc><lastmod>2018-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-quasi-complete-intersection-ideals-1809.11094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-quasi-complete-intersection-ideals-1809.11094"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-and-ordinary-powers-of-ideals-in-hibi-rings-1810.00149</loc><lastmod>2018-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-and-ordinary-powers-of-ideals-in-hibi-rings-1810.00149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-and-ordinary-powers-of-ideals-in-hibi-rings-1810.00149"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stable-property-of-projective-dimension-1810.00171</loc><lastmod>2018-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stable-property-of-projective-dimension-1810.00171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stable-property-of-projective-dimension-1810.00171"/></url>
<url><loc>https://scifaro.com/en/abs/strength-conditions-small-subalgebras-and-stillman-bounds-in-degree-leq-4-1810.00413</loc><lastmod>2020-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strength-conditions-small-subalgebras-and-stillman-bounds-in-degree-leq-4-1810.00413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strength-conditions-small-subalgebras-and-stillman-bounds-in-degree-leq-4-1810.00413"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-bass-quillen-conjecture-and-swan-s-question-1810.00617</loc><lastmod>2020-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-bass-quillen-conjecture-and-swan-s-question-1810.00617"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-bass-quillen-conjecture-and-swan-s-question-1810.00617"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-into-idempotent-factors-of-matrices-over-pr-ufer-domains-1810.00639</loc><lastmod>2023-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-into-idempotent-factors-of-matrices-over-pr-ufer-domains-1810.00639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-into-idempotent-factors-of-matrices-over-pr-ufer-domains-1810.00639"/></url>
<url><loc>https://scifaro.com/en/abs/complete-intersection-jordan-types-in-height-two-1810.00716</loc><lastmod>2021-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complete-intersection-jordan-types-in-height-two-1810.00716"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complete-intersection-jordan-types-in-height-two-1810.00716"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-finite-length-local-cohomology-in-terms-of-bounds-on-koszul-cohomology-1810.01359</loc><lastmod>2018-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-finite-length-local-cohomology-in-terms-of-bounds-on-koszul-cohomology-1810.01359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-finite-length-local-cohomology-in-terms-of-bounds-on-koszul-cohomology-1810.01359"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-and-intermediate-c-gorenstein-dimensions-1810.01399</loc><lastmod>2018-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-and-intermediate-c-gorenstein-dimensions-1810.01399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-and-intermediate-c-gorenstein-dimensions-1810.01399"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-invariants-of-intersection-algebras-of-principal-monomial-ideals-1810.01499</loc><lastmod>2018-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-invariants-of-intersection-algebras-of-principal-monomial-ideals-1810.01499"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-invariants-of-intersection-algebras-of-principal-monomial-ideals-1810.01499"/></url>
<url><loc>https://scifaro.com/en/abs/automating-the-calculation-of-hilbert-kunz-multiplicities-and-f-signatures-1810.01504</loc><lastmod>2018-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automating-the-calculation-of-hilbert-kunz-multiplicities-and-f-signatures-1810.01504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automating-the-calculation-of-hilbert-kunz-multiplicities-and-f-signatures-1810.01504"/></url>
<url><loc>https://scifaro.com/en/abs/initially-regular-sequences-and-depths-of-ideals-1810.01512</loc><lastmod>2019-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initially-regular-sequences-and-depths-of-ideals-1810.01512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initially-regular-sequences-and-depths-of-ideals-1810.01512"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-of-graded-local-cohomology-tables-1810.01536</loc><lastmod>2020-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-of-graded-local-cohomology-tables-1810.01536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-of-graded-local-cohomology-tables-1810.01536"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-of-parametric-curves-via-liftings-1810.02077</loc><lastmod>2019-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-of-parametric-curves-via-liftings-1810.02077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-of-parametric-curves-via-liftings-1810.02077"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolutions-and-gr-o-bner-basis-of-hankel-determinantal-ideals-1810.02139</loc><lastmod>2018-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolutions-and-gr-o-bner-basis-of-hankel-determinantal-ideals-1810.02139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolutions-and-gr-o-bner-basis-of-hankel-determinantal-ideals-1810.02139"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-betti-numbers-and-syzygies-of-finite-length-modules-1810.02526</loc><lastmod>2020-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-betti-numbers-and-syzygies-of-finite-length-modules-1810.02526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-betti-numbers-and-syzygies-of-finite-length-modules-1810.02526"/></url>
<url><loc>https://scifaro.com/en/abs/the-testideals-package-for-macaulay2-1810.02770</loc><lastmod>2020-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-testideals-package-for-macaulay2-1810.02770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-testideals-package-for-macaulay2-1810.02770"/></url>
<url><loc>https://scifaro.com/en/abs/atoms-in-quasilocal-integral-domains-1810.02922</loc><lastmod>2018-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atoms-in-quasilocal-integral-domains-1810.02922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atoms-in-quasilocal-integral-domains-1810.02922"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-chordal-graphs-1810.03119</loc><lastmod>2018-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-chordal-graphs-1810.03119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-binomial-edge-ideals-of-chordal-graphs-1810.03119"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-ii-deformation-of-quasi-gorenstein-property-1810.03181</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-ii-deformation-of-quasi-gorenstein-property-1810.03181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-quasi-gorenstein-rings-ii-deformation-of-quasi-gorenstein-property-1810.03181"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-surjectivity-of-certain-maps-ii-for-generalized-projective-spaces-1810.03474</loc><lastmod>2021-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-surjectivity-of-certain-maps-ii-for-generalized-projective-spaces-1810.03474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-surjectivity-of-certain-maps-ii-for-generalized-projective-spaces-1810.03474"/></url>
<url><loc>https://scifaro.com/en/abs/integer-valued-polynomials-pr-ufer-domains-and-the-sacked-bases-property-1810.03898</loc><lastmod>2018-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integer-valued-polynomials-pr-ufer-domains-and-the-sacked-bases-property-1810.03898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integer-valued-polynomials-pr-ufer-domains-and-the-sacked-bases-property-1810.03898"/></url>
<url><loc>https://scifaro.com/en/abs/quantifying-singularities-with-differential-operators-1810.04476</loc><lastmod>2019-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quantifying-singularities-with-differential-operators-1810.04476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quantifying-singularities-with-differential-operators-1810.04476"/></url>
<url><loc>https://scifaro.com/en/abs/polynomials-over-strict-semirings-do-not-admit-unique-factorization-1810.04812</loc><lastmod>2018-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomials-over-strict-semirings-do-not-admit-unique-factorization-1810.04812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomials-over-strict-semirings-do-not-admit-unique-factorization-1810.04812"/></url>
<url><loc>https://scifaro.com/en/abs/tor-as-a-module-over-an-exterior-algebra-1810.04999</loc><lastmod>2018-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tor-as-a-module-over-an-exterior-algebra-1810.04999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tor-as-a-module-over-an-exterior-algebra-1810.04999"/></url>
<url><loc>https://scifaro.com/en/abs/residual-intersections-are-koszul-fitting-ideals-1810.05134</loc><lastmod>2019-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-intersections-are-koszul-fitting-ideals-1810.05134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-intersections-are-koszul-fitting-ideals-1810.05134"/></url>
<url><loc>https://scifaro.com/en/abs/the-absolutely-koszul-and-backelin-roos-properties-for-spaces-of-quadrics-of-small-codimension-1810.05813</loc><lastmod>2020-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-absolutely-koszul-and-backelin-roos-properties-for-spaces-of-quadrics-of-small-codimension-1810.05813"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-absolutely-koszul-and-backelin-roos-properties-for-spaces-of-quadrics-of-small-codimension-1810.05813"/></url>
<url><loc>https://scifaro.com/en/abs/the-core-of-the-graded-maximal-ideal-in-a-stanley-reisner-ring-1810.05896</loc><lastmod>2018-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-core-of-the-graded-maximal-ideal-in-a-stanley-reisner-ring-1810.05896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-core-of-the-graded-maximal-ideal-in-a-stanley-reisner-ring-1810.05896"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-depth-and-associated-primes-in-the-perfect-closure-r-infty-1810.06028</loc><lastmod>2018-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-depth-and-associated-primes-in-the-perfect-closure-r-infty-1810.06028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-depth-and-associated-primes-in-the-perfect-closure-r-infty-1810.06028"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-powers-of-edge-ideals-1810.06308</loc><lastmod>2018-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-powers-of-edge-ideals-1810.06308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-for-the-regularity-of-powers-of-edge-ideals-1810.06308"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-h-polynomials-of-edge-ideals-1810.07140</loc><lastmod>2018-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-edge-ideals-1810.07140"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-h-polynomials-of-edge-ideals-1810.07140"/></url>
<url><loc>https://scifaro.com/en/abs/the-subspace-structure-of-finite-dimensional-beidleman-near-vector-spaces-1810.07221</loc><lastmod>2018-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-subspace-structure-of-finite-dimensional-beidleman-near-vector-spaces-1810.07221"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-subspace-structure-of-finite-dimensional-beidleman-near-vector-spaces-1810.07221"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-asymptotics-of-the-number-of-o-sequences-of-given-length-1810.07326</loc><lastmod>2019-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-asymptotics-of-the-number-of-o-sequences-of-given-length-1810.07326"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-asymptotics-of-the-number-of-o-sequences-of-given-length-1810.07326"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-linear-resolution-and-polymatroidal-ideals-1810.07582</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-linear-resolution-and-polymatroidal-ideals-1810.07582"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-linear-resolution-and-polymatroidal-ideals-1810.07582"/></url>
<url><loc>https://scifaro.com/en/abs/a-kunz-type-characterization-of-regular-rings-via-alterations-1810.08172</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-kunz-type-characterization-of-regular-rings-via-alterations-1810.08172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-kunz-type-characterization-of-regular-rings-via-alterations-1810.08172"/></url>
<url><loc>https://scifaro.com/en/abs/a-variation-on-magnus-theorem-and-its-generalizations-1810.08202</loc><lastmod>2018-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-variation-on-magnus-theorem-and-its-generalizations-1810.08202"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-variation-on-magnus-theorem-and-its-generalizations-1810.08202"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-the-comparability-of-ideals-in-semirings-1810.08836</loc><lastmod>2022-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-the-comparability-of-ideals-in-semirings-1810.08836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-the-comparability-of-ideals-in-semirings-1810.08836"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-betti-numbers-of-edge-ideals-1810.08969</loc><lastmod>2019-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-edge-ideals-1810.08969"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-betti-numbers-of-edge-ideals-1810.08969"/></url>
<url><loc>https://scifaro.com/en/abs/on-nonsingularity-of-circulant-matrices-1810.09893</loc><lastmod>2020-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-nonsingularity-of-circulant-matrices-1810.09893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-nonsingularity-of-circulant-matrices-1810.09893"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-boij-soderberg-theory-of-ideals-from-a-graph-isomorphism-reduction-1810.10055</loc><lastmod>2019-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-boij-soderberg-theory-of-ideals-from-a-graph-isomorphism-reduction-1810.10055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-boij-soderberg-theory-of-ideals-from-a-graph-isomorphism-reduction-1810.10055"/></url>
<url><loc>https://scifaro.com/en/abs/extension-functors-of-generalized-local-cohomology-modules-1810.10217</loc><lastmod>2018-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-functors-of-generalized-local-cohomology-modules-1810.10217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-functors-of-generalized-local-cohomology-modules-1810.10217"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-dimensions-and-cofiniteness-of-generalized-local-cohomology-modules-1810.10223</loc><lastmod>2019-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-dimensions-and-cofiniteness-of-generalized-local-cohomology-modules-1810.10223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-dimensions-and-cofiniteness-of-generalized-local-cohomology-modules-1810.10223"/></url>
<url><loc>https://scifaro.com/en/abs/the-stability-of-a-cosine-sine-functional-equation-on-abelian-groups-1810.10295</loc><lastmod>2018-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stability-of-a-cosine-sine-functional-equation-on-abelian-groups-1810.10295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stability-of-a-cosine-sine-functional-equation-on-abelian-groups-1810.10295"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-of-a-sum-of-polynomials-depending-on-disjoint-sets-of-variables-1810.11342</loc><lastmod>2021-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-of-a-sum-of-polynomials-depending-on-disjoint-sets-of-variables-1810.11342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-of-a-sum-of-polynomials-depending-on-disjoint-sets-of-variables-1810.11342"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-ideals-associated-to-subspace-arrangements-1810.11694</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-ideals-associated-to-subspace-arrangements-1810.11694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-ideals-associated-to-subspace-arrangements-1810.11694"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-field-homomorphisms-through-pexiderized-functional-equations-1810.11999</loc><lastmod>2018-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-field-homomorphisms-through-pexiderized-functional-equations-1810.11999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-field-homomorphisms-through-pexiderized-functional-equations-1810.11999"/></url>
<url><loc>https://scifaro.com/en/abs/radical-factorization-in-commutative-rings-monoids-and-multiplicative-lattices-1811.00242</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-factorization-in-commutative-rings-monoids-and-multiplicative-lattices-1811.00242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-factorization-in-commutative-rings-monoids-and-multiplicative-lattices-1811.00242"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-arithmetic-of-mori-monoids-and-domains-1811.00777</loc><lastmod>2020-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetic-of-mori-monoids-and-domains-1811.00777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetic-of-mori-monoids-and-domains-1811.00777"/></url>
<url><loc>https://scifaro.com/en/abs/kruskal-katona-theorem-for-t-spread-strongly-stable-ideals-1811.00798</loc><lastmod>2018-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kruskal-katona-theorem-for-t-spread-strongly-stable-ideals-1811.00798"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kruskal-katona-theorem-for-t-spread-strongly-stable-ideals-1811.00798"/></url>
<url><loc>https://scifaro.com/en/abs/semidualizing-modules-of-2-times-2-ladder-determinantal-rings-1811.01038</loc><lastmod>2018-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semidualizing-modules-of-2-times-2-ladder-determinantal-rings-1811.01038"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semidualizing-modules-of-2-times-2-ladder-determinantal-rings-1811.01038"/></url>
<url><loc>https://scifaro.com/en/abs/the-hermite-ring-conjecture-and-special-linear-groups-for-valuation-rings-1811.01230</loc><lastmod>2018-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hermite-ring-conjecture-and-special-linear-groups-for-valuation-rings-1811.01230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hermite-ring-conjecture-and-special-linear-groups-for-valuation-rings-1811.01230"/></url>
<url><loc>https://scifaro.com/en/abs/r-esolutions-libres-finies-m-ethodes-constructives-1811.01873</loc><lastmod>2018-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/r-esolutions-libres-finies-m-ethodes-constructives-1811.01873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/r-esolutions-libres-finies-m-ethodes-constructives-1811.01873"/></url>
<url><loc>https://scifaro.com/en/abs/interpolation-and-the-weak-lefschetz-property-1811.02051</loc><lastmod>2018-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/interpolation-and-the-weak-lefschetz-property-1811.02051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/interpolation-and-the-weak-lefschetz-property-1811.02051"/></url>
<url><loc>https://scifaro.com/en/abs/the-jordan-type-of-graded-artinian-gorenstein-algebras-1811.02072</loc><lastmod>2018-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-jordan-type-of-graded-artinian-gorenstein-algebras-1811.02072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-jordan-type-of-graded-artinian-gorenstein-algebras-1811.02072"/></url>
<url><loc>https://scifaro.com/en/abs/distinguished-elements-in-semiring-extensions-1811.02142</loc><lastmod>2024-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distinguished-elements-in-semiring-extensions-1811.02142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distinguished-elements-in-semiring-extensions-1811.02142"/></url>
<url><loc>https://scifaro.com/en/abs/sharpness-and-semistar-operations-in-pruefer-like-domains-1811.02919</loc><lastmod>2018-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sharpness-and-semistar-operations-in-pruefer-like-domains-1811.02919"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sharpness-and-semistar-operations-in-pruefer-like-domains-1811.02919"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-exponent-of-cartier-subalgebras-1811.03682</loc><lastmod>2018-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-exponent-of-cartier-subalgebras-1811.03682"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-exponent-of-cartier-subalgebras-1811.03682"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-strongly-cohen-macaulay-ideals-by-delta-invariant-1811.04388</loc><lastmod>2020-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-strongly-cohen-macaulay-ideals-by-delta-invariant-1811.04388"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-strongly-cohen-macaulay-ideals-by-delta-invariant-1811.04388"/></url>
<url><loc>https://scifaro.com/en/abs/the-valuation-theory-of-deeply-ramified-fields-and-its-connection-with-defect-extensions-1811.04396</loc><lastmod>2023-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-valuation-theory-of-deeply-ramified-fields-and-its-connection-with-defect-extensions-1811.04396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-valuation-theory-of-deeply-ramified-fields-and-its-connection-with-defect-extensions-1811.04396"/></url>
<url><loc>https://scifaro.com/en/abs/some-perspective-on-homotopy-obstructions-1811.04510</loc><lastmod>2018-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-perspective-on-homotopy-obstructions-1811.04510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-perspective-on-homotopy-obstructions-1811.04510"/></url>
<url><loc>https://scifaro.com/en/abs/a-converse-to-a-construction-of-eisenbud-shamash-1811.05508</loc><lastmod>2021-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-converse-to-a-construction-of-eisenbud-shamash-1811.05508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-converse-to-a-construction-of-eisenbud-shamash-1811.05508"/></url>
<url><loc>https://scifaro.com/en/abs/standard-bases-over-euclidean-domains-1811.05736</loc><lastmod>2018-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-bases-over-euclidean-domains-1811.05736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-bases-over-euclidean-domains-1811.05736"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-spectra-of-triangulated-categories-without-tensor-structure-and-applications-to-commutative-rings-1811.06312</loc><lastmod>2018-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-spectra-of-triangulated-categories-without-tensor-structure-and-applications-to-commutative-rings-1811.06312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-spectra-of-triangulated-categories-without-tensor-structure-and-applications-to-commutative-rings-1811.06312"/></url>
<url><loc>https://scifaro.com/en/abs/on-syzygies-for-rings-of-invariants-of-abelian-groups-1811.06413</loc><lastmod>2018-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-syzygies-for-rings-of-invariants-of-abelian-groups-1811.06413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-syzygies-for-rings-of-invariants-of-abelian-groups-1811.06413"/></url>
<url><loc>https://scifaro.com/en/abs/a-newton-girard-formula-for-monomial-symmetric-polynomials-1811.06491</loc><lastmod>2018-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-newton-girard-formula-for-monomial-symmetric-polynomials-1811.06491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-newton-girard-formula-for-monomial-symmetric-polynomials-1811.06491"/></url>
<url><loc>https://scifaro.com/en/abs/families-of-blowups-of-the-real-affine-plane-classification-isotopies-and-visualization-1811.06710</loc><lastmod>2020-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/families-of-blowups-of-the-real-affine-plane-classification-isotopies-and-visualization-1811.06710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/families-of-blowups-of-the-real-affine-plane-classification-isotopies-and-visualization-1811.06710"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-functions-of-points-in-projective-space-and-structure-of-graded-modules-1811.06790</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-functions-of-points-in-projective-space-and-structure-of-graded-modules-1811.06790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-functions-of-points-in-projective-space-and-structure-of-graded-modules-1811.06790"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-and-generalized-parametric-decomposition-of-monomial-ideals-on-regular-sequences-1811.06881</loc><lastmod>2018-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-and-generalized-parametric-decomposition-of-monomial-ideals-on-regular-sequences-1811.06881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-and-generalized-parametric-decomposition-of-monomial-ideals-on-regular-sequences-1811.06881"/></url>
<url><loc>https://scifaro.com/en/abs/uncountable-n-dimensional-excellent-regular-local-rings-with-countable-spectra-1811.07675</loc><lastmod>2018-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uncountable-n-dimensional-excellent-regular-local-rings-with-countable-spectra-1811.07675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uncountable-n-dimensional-excellent-regular-local-rings-with-countable-spectra-1811.07675"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-expectation-semirings-1811.08001</loc><lastmod>2020-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-expectation-semirings-1811.08001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-expectation-semirings-1811.08001"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-grothendieck-local-residues-ii-general-case-1811.08054</loc><lastmod>2018-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-grothendieck-local-residues-ii-general-case-1811.08054"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-grothendieck-local-residues-ii-general-case-1811.08054"/></url>
<url><loc>https://scifaro.com/en/abs/residual-intersections-and-modules-with-cohen-macaulay-rees-algebra-1811.08402</loc><lastmod>2020-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-intersections-and-modules-with-cohen-macaulay-rees-algebra-1811.08402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-intersections-and-modules-with-cohen-macaulay-rees-algebra-1811.08402"/></url>
<url><loc>https://scifaro.com/en/abs/a-bimodule-structure-for-the-bounded-cohomology-of-commutative-local-rings-1811.08938</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bimodule-structure-for-the-bounded-cohomology-of-commutative-local-rings-1811.08938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bimodule-structure-for-the-bounded-cohomology-of-commutative-local-rings-1811.08938"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-pr-ufer-dress-rings-and-products-of-idempotent-matrices-1811.09092</loc><lastmod>2023-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-pr-ufer-dress-rings-and-products-of-idempotent-matrices-1811.09092"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-pr-ufer-dress-rings-and-products-of-idempotent-matrices-1811.09092"/></url>
<url><loc>https://scifaro.com/en/abs/idempotence-and-divisorialty-in-pr-ufer-like-domains-1811.09210</loc><lastmod>2018-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/idempotence-and-divisorialty-in-pr-ufer-like-domains-1811.09210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/idempotence-and-divisorialty-in-pr-ufer-like-domains-1811.09210"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-primary-decomposition-of-some-determinantal-hyperedge-ideal-1811.09530</loc><lastmod>2019-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-primary-decomposition-of-some-determinantal-hyperedge-ideal-1811.09530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-primary-decomposition-of-some-determinantal-hyperedge-ideal-1811.09530"/></url>
<url><loc>https://scifaro.com/en/abs/a-finiteness-condition-on-quasi-local-overrings-of-a-class-of-pinched-domains-1811.09868</loc><lastmod>2020-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-finiteness-condition-on-quasi-local-overrings-of-a-class-of-pinched-domains-1811.09868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-finiteness-condition-on-quasi-local-overrings-of-a-class-of-pinched-domains-1811.09868"/></url>
<url><loc>https://scifaro.com/en/abs/unique-maximal-betti-diagrams-for-artinian-gorenstein-k-algebras-with-the-weak-lefschetz-property-1811.10749</loc><lastmod>2018-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unique-maximal-betti-diagrams-for-artinian-gorenstein-k-algebras-with-the-weak-lefschetz-property-1811.10749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unique-maximal-betti-diagrams-for-artinian-gorenstein-k-algebras-with-the-weak-lefschetz-property-1811.10749"/></url>
<url><loc>https://scifaro.com/en/abs/global-frobenius-betti-numbers-and-f-splitting-ratio-1811.11022</loc><lastmod>2018-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-frobenius-betti-numbers-and-f-splitting-ratio-1811.11022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-frobenius-betti-numbers-and-f-splitting-ratio-1811.11022"/></url>
<url><loc>https://scifaro.com/en/abs/nilpotent-lie-algebras-having-the-schur-multiplier-of-maximum-dimension-1812.00247</loc><lastmod>2021-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nilpotent-lie-algebras-having-the-schur-multiplier-of-maximum-dimension-1812.00247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nilpotent-lie-algebras-having-the-schur-multiplier-of-maximum-dimension-1812.00247"/></url>
<url><loc>https://scifaro.com/en/abs/alexander-duality-for-the-alternative-polarizations-of-strongly-stable-ideals-1812.00571</loc><lastmod>2019-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duality-for-the-alternative-polarizations-of-strongly-stable-ideals-1812.00571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duality-for-the-alternative-polarizations-of-strongly-stable-ideals-1812.00571"/></url>
<url><loc>https://scifaro.com/en/abs/computing-schur-complexes-1812.00790</loc><lastmod>2020-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-schur-complexes-1812.00790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-schur-complexes-1812.00790"/></url>
<url><loc>https://scifaro.com/en/abs/reflexivity-revisited-1812.00830</loc><lastmod>2025-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexivity-revisited-1812.00830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexivity-revisited-1812.00830"/></url>
<url><loc>https://scifaro.com/en/abs/on-fr-oberg-macaulay-conjectures-for-algebras-1812.01100</loc><lastmod>2018-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-fr-oberg-macaulay-conjectures-for-algebras-1812.01100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-fr-oberg-macaulay-conjectures-for-algebras-1812.01100"/></url>
<url><loc>https://scifaro.com/en/abs/correction-and-notes-to-the-paper-a-classification-of-artin-schreier-defect-extensions-and-characterizations-of-defectless-fields-1812.01836</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/correction-and-notes-to-the-paper-a-classification-of-artin-schreier-defect-extensions-and-characterizations-of-defectless-fields-1812.01836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/correction-and-notes-to-the-paper-a-classification-of-artin-schreier-defect-extensions-and-characterizations-of-defectless-fields-1812.01836"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-katzman-zhang-algorithm-1812.01900</loc><lastmod>2019-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-katzman-zhang-algorithm-1812.01900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-katzman-zhang-algorithm-1812.01900"/></url>
<url><loc>https://scifaro.com/en/abs/the-ap-ery-set-of-a-good-semigroup-1812.02064</loc><lastmod>2019-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ap-ery-set-of-a-good-semigroup-1812.02064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ap-ery-set-of-a-good-semigroup-1812.02064"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-prime-ideals-1812.02456</loc><lastmod>2018-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-prime-ideals-1812.02456"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-prime-ideals-1812.02456"/></url>
<url><loc>https://scifaro.com/en/abs/waring-tangential-and-cactus-decompositions-1812.02612</loc><lastmod>2024-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/waring-tangential-and-cactus-decompositions-1812.02612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/waring-tangential-and-cactus-decompositions-1812.02612"/></url>
<url><loc>https://scifaro.com/en/abs/membership-and-elasticity-in-certain-affine-monoids-1812.02854</loc><lastmod>2018-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/membership-and-elasticity-in-certain-affine-monoids-1812.02854"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/membership-and-elasticity-in-certain-affine-monoids-1812.02854"/></url>
<url><loc>https://scifaro.com/en/abs/the-existence-of-non-thin-subalgebras-of-k-x-x-n-and-related-numerical-monoids-1812.03576</loc><lastmod>2019-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-existence-of-non-thin-subalgebras-of-k-x-x-n-and-related-numerical-monoids-1812.03576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-existence-of-non-thin-subalgebras-of-k-x-x-n-and-related-numerical-monoids-1812.03576"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-decomposition-of-the-associated-graded-algebra-of-an-artinian-gorenstein-algebra-1812.03586</loc><lastmod>2021-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-decomposition-of-the-associated-graded-algebra-of-an-artinian-gorenstein-algebra-1812.03586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-decomposition-of-the-associated-graded-algebra-of-an-artinian-gorenstein-algebra-1812.03586"/></url>
<url><loc>https://scifaro.com/en/abs/t-local-domains-and-valuation-domains-1812.03713</loc><lastmod>2018-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/t-local-domains-and-valuation-domains-1812.03713"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/t-local-domains-and-valuation-domains-1812.03713"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-depth-and-stanley-depth-of-symbolic-powers-of-squarefree-monomial-ideals-1812.03742</loc><lastmod>2018-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-depth-and-stanley-depth-of-symbolic-powers-of-squarefree-monomial-ideals-1812.03742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-depth-and-stanley-depth-of-symbolic-powers-of-squarefree-monomial-ideals-1812.03742"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-hamming-weights-of-projective-reed-muller-type-codes-over-graphs-1812.04106</loc><lastmod>2019-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-hamming-weights-of-projective-reed-muller-type-codes-over-graphs-1812.04106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-hamming-weights-of-projective-reed-muller-type-codes-over-graphs-1812.04106"/></url>
<url><loc>https://scifaro.com/en/abs/additive-primitive-length-in-relatively-free-algebras-1812.04585</loc><lastmod>2018-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/additive-primitive-length-in-relatively-free-algebras-1812.04585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/additive-primitive-length-in-relatively-free-algebras-1812.04585"/></url>
<url><loc>https://scifaro.com/en/abs/vector-invariant-fields-of-finite-classical-groups-1812.04781</loc><lastmod>2020-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-invariant-fields-of-finite-classical-groups-1812.04781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-invariant-fields-of-finite-classical-groups-1812.04781"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-non-noetherian-cohen-macaulay-rings-1812.05079</loc><lastmod>2019-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-non-noetherian-cohen-macaulay-rings-1812.05079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-non-noetherian-cohen-macaulay-rings-1812.05079"/></url>
<url><loc>https://scifaro.com/en/abs/n-absorbing-monomial-ideals-in-polynomial-rings-1812.05791</loc><lastmod>2018-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-absorbing-monomial-ideals-in-polynomial-rings-1812.05791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-absorbing-monomial-ideals-in-polynomial-rings-1812.05791"/></url>
<url><loc>https://scifaro.com/en/abs/expansivity-on-commutative-rings-1812.06195</loc><lastmod>2019-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/expansivity-on-commutative-rings-1812.06195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/expansivity-on-commutative-rings-1812.06195"/></url>
<url><loc>https://scifaro.com/en/abs/spectral-spaces-versus-distributive-lattices-a-dictionary-1812.06277</loc><lastmod>2025-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spectral-spaces-versus-distributive-lattices-a-dictionary-1812.06277"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spectral-spaces-versus-distributive-lattices-a-dictionary-1812.06277"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-minimum-distance-functions-and-algebraic-invariants-of-geramita-ideals-1812.06529</loc><lastmod>2019-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-minimum-distance-functions-and-algebraic-invariants-of-geramita-ideals-1812.06529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-minimum-distance-functions-and-algebraic-invariants-of-geramita-ideals-1812.06529"/></url>
<url><loc>https://scifaro.com/en/abs/g-graded-irreducibility-and-the-index-of-reducibility-1812.06541</loc><lastmod>2018-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-graded-irreducibility-and-the-index-of-reducibility-1812.06541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-graded-irreducibility-and-the-index-of-reducibility-1812.06541"/></url>
<url><loc>https://scifaro.com/en/abs/column-symmetric-polynomials-1812.07021</loc><lastmod>2018-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/column-symmetric-polynomials-1812.07021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/column-symmetric-polynomials-1812.07021"/></url>
<url><loc>https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-for-defect-two-quadratic-ideals-1812.07539</loc><lastmod>2018-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-for-defect-two-quadratic-ideals-1812.07539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-for-defect-two-quadratic-ideals-1812.07539"/></url>
<url><loc>https://scifaro.com/en/abs/an-other-approach-of-the-diameter-of-gamma-r-and-gamma-r-x-1812.08212</loc><lastmod>2018-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-other-approach-of-the-diameter-of-gamma-r-and-gamma-r-x-1812.08212"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-other-approach-of-the-diameter-of-gamma-r-and-gamma-r-x-1812.08212"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-the-multiview-variety-1812.09470</loc><lastmod>2019-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-the-multiview-variety-1812.09470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-the-multiview-variety-1812.09470"/></url>
<url><loc>https://scifaro.com/en/abs/little-dimension-and-the-improved-new-intersection-theorem-1812.09704</loc><lastmod>2020-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/little-dimension-and-the-improved-new-intersection-theorem-1812.09704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/little-dimension-and-the-improved-new-intersection-theorem-1812.09704"/></url>
<url><loc>https://scifaro.com/en/abs/the-family-of-perfect-ideals-of-codimension-3-of-type-2-with-5-generators-1812.09736</loc><lastmod>2018-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-family-of-perfect-ideals-of-codimension-3-of-type-2-with-5-generators-1812.09736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-family-of-perfect-ideals-of-codimension-3-of-type-2-with-5-generators-1812.09736"/></url>
<url><loc>https://scifaro.com/en/abs/local-rings-with-self-dual-maximal-ideal-1812.10341</loc><lastmod>2020-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-rings-with-self-dual-maximal-ideal-1812.10341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-rings-with-self-dual-maximal-ideal-1812.10341"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-with-reducible-complexity-1812.10597</loc><lastmod>2020-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-with-reducible-complexity-1812.10597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-with-reducible-complexity-1812.10597"/></url>
<url><loc>https://scifaro.com/en/abs/primitive-element-theorem-for-fields-with-commuting-derivations-and-automorphisms-1812.11375</loc><lastmod>2019-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primitive-element-theorem-for-fields-with-commuting-derivations-and-automorphisms-1812.11375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primitive-element-theorem-for-fields-with-commuting-derivations-and-automorphisms-1812.11375"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-of-unknowns-for-systems-of-algebraic-differential-difference-equations-1812.11390</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-of-unknowns-for-systems-of-algebraic-differential-difference-equations-1812.11390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-of-unknowns-for-systems-of-algebraic-differential-difference-equations-1812.11390"/></url>
<url><loc>https://scifaro.com/en/abs/nonvanishing-betti-numbers-of-weakly-chordal-graphs-1812.11400</loc><lastmod>2019-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nonvanishing-betti-numbers-of-weakly-chordal-graphs-1812.11400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nonvanishing-betti-numbers-of-weakly-chordal-graphs-1812.11400"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-classes-of-grade-3-perfect-ideals-1812.11552</loc><lastmod>2019-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-classes-of-grade-3-perfect-ideals-1812.11552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-classes-of-grade-3-perfect-ideals-1812.11552"/></url>
<url><loc>https://scifaro.com/en/abs/on-properties-of-square-free-elements-in-commutative-cancellative-monoids-1812.11882</loc><lastmod>2019-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-properties-of-square-free-elements-in-commutative-cancellative-monoids-1812.11882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-properties-of-square-free-elements-in-commutative-cancellative-monoids-1812.11882"/></url>
<url><loc>https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-odd-generators-1901.00550</loc><lastmod>2019-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-odd-generators-1901.00550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-symmetric-numerical-semigroups-with-odd-generators-1901.00550"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bound-of-multiplicity-in-prime-characteristic-1901.00849</loc><lastmod>2019-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bound-of-multiplicity-in-prime-characteristic-1901.00849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bound-of-multiplicity-in-prime-characteristic-1901.00849"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-singularities-and-h-vector-of-graded-algebras-1901.01116</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-singularities-and-h-vector-of-graded-algebras-1901.01116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-singularities-and-h-vector-of-graded-algebras-1901.01116"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-a-invariant-of-cameron-walker-graphs-1901.01509</loc><lastmod>2022-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-a-invariant-of-cameron-walker-graphs-1901.01509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-a-invariant-of-cameron-walker-graphs-1901.01509"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-t-spread-veronese-algebras-1901.01561</loc><lastmod>2019-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-t-spread-veronese-algebras-1901.01561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-t-spread-veronese-algebras-1901.01561"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-version-of-a-theorem-of-kaplansky-1901.02316</loc><lastmod>2020-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-version-of-a-theorem-of-kaplansky-1901.02316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-version-of-a-theorem-of-kaplansky-1901.02316"/></url>
<url><loc>https://scifaro.com/en/abs/approximation-theorems-for-spaces-of-localities-1901.02632</loc><lastmod>2021-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/approximation-theorems-for-spaces-of-localities-1901.02632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/approximation-theorems-for-spaces-of-localities-1901.02632"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-chains-of-prime-ideals-of-different-lengths-in-unique-factorization-domains-1901.02790</loc><lastmod>2019-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-chains-of-prime-ideals-of-different-lengths-in-unique-factorization-domains-1901.02790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-chains-of-prime-ideals-of-different-lengths-in-unique-factorization-domains-1901.02790"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-isomorphisms-between-submonoids-of-mathbb-n-k-and-numerical-semigroups-1901.02927</loc><lastmod>2019-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-isomorphisms-between-submonoids-of-mathbb-n-k-and-numerical-semigroups-1901.02927"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-isomorphisms-between-submonoids-of-mathbb-n-k-and-numerical-semigroups-1901.02927"/></url>
<url><loc>https://scifaro.com/en/abs/conditional-independence-ideals-with-hidden-variables-1901.03059</loc><lastmod>2023-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditional-independence-ideals-with-hidden-variables-1901.03059"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditional-independence-ideals-with-hidden-variables-1901.03059"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-multiplicities-in-explicit-form-1901.03291</loc><lastmod>2019-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-multiplicities-in-explicit-form-1901.03291"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-multiplicities-in-explicit-form-1901.03291"/></url>
<url><loc>https://scifaro.com/en/abs/simultaneous-monomialization-1901.03365</loc><lastmod>2020-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simultaneous-monomialization-1901.03365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simultaneous-monomialization-1901.03365"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-krull-monoids-for-which-sets-of-lengths-are-almost-arithmetical-progressions-1901.03506</loc><lastmod>2019-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-krull-monoids-for-which-sets-of-lengths-are-almost-arithmetical-progressions-1901.03506"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-krull-monoids-for-which-sets-of-lengths-are-almost-arithmetical-progressions-1901.03506"/></url>
<url><loc>https://scifaro.com/en/abs/leaps-of-modules-of-integrable-derivations-in-the-sense-of-hasse-schmidt-1901.03580</loc><lastmod>2026-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/leaps-of-modules-of-integrable-derivations-in-the-sense-of-hasse-schmidt-1901.03580"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/leaps-of-modules-of-integrable-derivations-in-the-sense-of-hasse-schmidt-1901.03580"/></url>
<url><loc>https://scifaro.com/en/abs/real-univariate-quintics-1901.03679</loc><lastmod>2019-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/real-univariate-quintics-1901.03679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/real-univariate-quintics-1901.03679"/></url>
<url><loc>https://scifaro.com/en/abs/hypersurfaces-with-linear-type-singular-loci-1901.03833</loc><lastmod>2019-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hypersurfaces-with-linear-type-singular-loci-1901.03833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hypersurfaces-with-linear-type-singular-loci-1901.03833"/></url>
<url><loc>https://scifaro.com/en/abs/locally-nilpotent-sets-of-derivations-1901.04105</loc><lastmod>2019-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-nilpotent-sets-of-derivations-1901.04105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-nilpotent-sets-of-derivations-1901.04105"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-the-maximal-ideal-and-vanishing-of-co-homology-1901.04108</loc><lastmod>2020-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-the-maximal-ideal-and-vanishing-of-co-homology-1901.04108"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-the-maximal-ideal-and-vanishing-of-co-homology-1901.04108"/></url>
<url><loc>https://scifaro.com/en/abs/strong-test-ideals-associated-to-cartier-algebras-1901.04113</loc><lastmod>2019-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-test-ideals-associated-to-cartier-algebras-1901.04113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-test-ideals-associated-to-cartier-algebras-1901.04113"/></url>
<url><loc>https://scifaro.com/en/abs/fiber-invariants-of-projective-morphisms-and-regularity-of-powers-of-ideals-1901.04425</loc><lastmod>2019-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fiber-invariants-of-projective-morphisms-and-regularity-of-powers-of-ideals-1901.04425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fiber-invariants-of-projective-morphisms-and-regularity-of-powers-of-ideals-1901.04425"/></url>
<url><loc>https://scifaro.com/en/abs/on-monoids-of-ideals-of-orders-in-quadratic-number-fields-1901.04528</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monoids-of-ideals-of-orders-in-quadratic-number-fields-1901.04528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monoids-of-ideals-of-orders-in-quadratic-number-fields-1901.04528"/></url>
<url><loc>https://scifaro.com/en/abs/definable-coaisles-over-rings-of-weak-global-dimension-at-most-one-1901.04577</loc><lastmod>2020-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/definable-coaisles-over-rings-of-weak-global-dimension-at-most-one-1901.04577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/definable-coaisles-over-rings-of-weak-global-dimension-at-most-one-1901.04577"/></url>
<url><loc>https://scifaro.com/en/abs/trace-ideals-normalization-chains-and-endomorphism-rings-1901.04766</loc><lastmod>2019-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-ideals-normalization-chains-and-endomorphism-rings-1901.04766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-ideals-normalization-chains-and-endomorphism-rings-1901.04766"/></url>
<url><loc>https://scifaro.com/en/abs/diagonal-subalgebras-of-residual-intersections-1901.05027</loc><lastmod>2019-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diagonal-subalgebras-of-residual-intersections-1901.05027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diagonal-subalgebras-of-residual-intersections-1901.05027"/></url>
<url><loc>https://scifaro.com/en/abs/princ-domains-and-comaximal-factorization-domains-1901.05241</loc><lastmod>2023-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/princ-domains-and-comaximal-factorization-domains-1901.05241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/princ-domains-and-comaximal-factorization-domains-1901.05241"/></url>
<url><loc>https://scifaro.com/en/abs/lcm-lattice-taylor-bases-and-minimal-free-resolutions-of-a-monomial-ideal-1901.05865</loc><lastmod>2019-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lcm-lattice-taylor-bases-and-minimal-free-resolutions-of-a-monomial-ideal-1901.05865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lcm-lattice-taylor-bases-and-minimal-free-resolutions-of-a-monomial-ideal-1901.05865"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-the-normal-hilbert-coefficients-of-ideals-1901.06310</loc><lastmod>2019-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-the-normal-hilbert-coefficients-of-ideals-1901.06310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-the-normal-hilbert-coefficients-of-ideals-1901.06310"/></url>
<url><loc>https://scifaro.com/en/abs/generation-in-singularity-categories-of-hypersurfaces-of-countable-representation-type-1901.06636</loc><lastmod>2019-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generation-in-singularity-categories-of-hypersurfaces-of-countable-representation-type-1901.06636"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generation-in-singularity-categories-of-hypersurfaces-of-countable-representation-type-1901.06636"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-cofiniteness-through-minimal-associated-primes-1901.06666</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-cofiniteness-through-minimal-associated-primes-1901.06666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-cofiniteness-through-minimal-associated-primes-1901.06666"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-over-noetherian-complete-local-rings-1901.06668</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-over-noetherian-complete-local-rings-1901.06668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-over-noetherian-complete-local-rings-1901.06668"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-abelian-categories-of-cofinite-modules-1901.06671</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-abelian-categories-of-cofinite-modules-1901.06671"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-abelian-categories-of-cofinite-modules-1901.06671"/></url>
<url><loc>https://scifaro.com/en/abs/rank-bounded-hibi-subrings-for-planar-distributive-lattices-1901.06690</loc><lastmod>2019-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rank-bounded-hibi-subrings-for-planar-distributive-lattices-1901.06690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rank-bounded-hibi-subrings-for-planar-distributive-lattices-1901.06690"/></url>
<url><loc>https://scifaro.com/en/abs/enveloping-classes-over-commutative-rings-1901.07921</loc><lastmod>2020-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/enveloping-classes-over-commutative-rings-1901.07921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/enveloping-classes-over-commutative-rings-1901.07921"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-nu-algebra-and-supertropical-algebraic-geometry-1901.08032</loc><lastmod>2019-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-nu-algebra-and-supertropical-algebraic-geometry-1901.08032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-nu-algebra-and-supertropical-algebraic-geometry-1901.08032"/></url>
<url><loc>https://scifaro.com/en/abs/rational-points-and-generalized-trace-forms-on-a-finite-algebra-over-a-real-closed-field-1901.08364</loc><lastmod>2020-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-points-and-generalized-trace-forms-on-a-finite-algebra-over-a-real-closed-field-1901.08364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-points-and-generalized-trace-forms-on-a-finite-algebra-over-a-real-closed-field-1901.08364"/></url>
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<url><loc>https://scifaro.com/en/abs/on-jet-schemes-of-pfaffian-ideals-1901.09602</loc><lastmod>2019-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-jet-schemes-of-pfaffian-ideals-1901.09602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-jet-schemes-of-pfaffian-ideals-1901.09602"/></url>
<url><loc>https://scifaro.com/en/abs/a-drone-can-hear-the-shape-of-a-room-1901.10472</loc><lastmod>2020-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-drone-can-hear-the-shape-of-a-room-1901.10472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-drone-can-hear-the-shape-of-a-room-1901.10472"/></url>
<url><loc>https://scifaro.com/en/abs/patterns-on-the-numerical-duplication-by-their-admissibility-degree-1901.10571</loc><lastmod>2021-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/patterns-on-the-numerical-duplication-by-their-admissibility-degree-1901.10571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/patterns-on-the-numerical-duplication-by-their-admissibility-degree-1901.10571"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-euler-class-groups-and-two-conjectures-1901.10686</loc><lastmod>2019-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-euler-class-groups-and-two-conjectures-1901.10686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-euler-class-groups-and-two-conjectures-1901.10686"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-by-elementary-matrices-null-homotopy-and-products-of-exponentials-for-invertible-matrices-over-rings-1901.10714</loc><lastmod>2019-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-by-elementary-matrices-null-homotopy-and-products-of-exponentials-for-invertible-matrices-over-rings-1901.10714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-by-elementary-matrices-null-homotopy-and-products-of-exponentials-for-invertible-matrices-over-rings-1901.10714"/></url>
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<url><loc>https://scifaro.com/en/abs/on-monomial-golod-ideals-1902.00806</loc><lastmod>2019-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monomial-golod-ideals-1902.00806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monomial-golod-ideals-1902.00806"/></url>
<url><loc>https://scifaro.com/en/abs/the-variety-defined-by-the-matrix-of-diagonals-is-f-pure-1902.02563</loc><lastmod>2021-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-variety-defined-by-the-matrix-of-diagonals-is-f-pure-1902.02563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-variety-defined-by-the-matrix-of-diagonals-is-f-pure-1902.02563"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-cellular-resolutions-of-the-edge-ideals-of-forests-1902.02740</loc><lastmod>2019-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-cellular-resolutions-of-the-edge-ideals-of-forests-1902.02740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-cellular-resolutions-of-the-edge-ideals-of-forests-1902.02740"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-conjecture-of-vasconcelos-for-artinian-almost-complete-intersection-monomial-ideals-1902.03068</loc><lastmod>2019-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-conjecture-of-vasconcelos-for-artinian-almost-complete-intersection-monomial-ideals-1902.03068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-conjecture-of-vasconcelos-for-artinian-almost-complete-intersection-monomial-ideals-1902.03068"/></url>
<url><loc>https://scifaro.com/en/abs/the-a-number-of-certain-hyperelliptic-curves-1902.03672</loc><lastmod>2019-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-a-number-of-certain-hyperelliptic-curves-1902.03672"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-a-number-of-certain-hyperelliptic-curves-1902.03672"/></url>
<url><loc>https://scifaro.com/en/abs/flow-up-bases-for-generalized-spline-modules-on-arbitrary-graphs-1902.03756</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flow-up-bases-for-generalized-spline-modules-on-arbitrary-graphs-1902.03756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flow-up-bases-for-generalized-spline-modules-on-arbitrary-graphs-1902.03756"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-finite-dimensional-nilpotent-lie-algebras-by-the-dimension-of-their-schur-multipliers-s-l-5-1902.03886</loc><lastmod>2023-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-finite-dimensional-nilpotent-lie-algebras-by-the-dimension-of-their-schur-multipliers-s-l-5-1902.03886"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-finite-dimensional-nilpotent-lie-algebras-by-the-dimension-of-their-schur-multipliers-s-l-5-1902.03886"/></url>
<url><loc>https://scifaro.com/en/abs/boolean-fip-ring-extensions-1902.03946</loc><lastmod>2019-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boolean-fip-ring-extensions-1902.03946"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boolean-fip-ring-extensions-1902.03946"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-cone-of-an-algebraic-laurent-series-1902.03961</loc><lastmod>2021-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-cone-of-an-algebraic-laurent-series-1902.03961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-cone-of-an-algebraic-laurent-series-1902.03961"/></url>
<url><loc>https://scifaro.com/en/abs/sufficient-condition-for-existence-of-special-type-of-primitive-normal-elements-over-finite-fields-1902.04736</loc><lastmod>2019-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sufficient-condition-for-existence-of-special-type-of-primitive-normal-elements-over-finite-fields-1902.04736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sufficient-condition-for-existence-of-special-type-of-primitive-normal-elements-over-finite-fields-1902.04736"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-matroidal-ideals-1902.05251</loc><lastmod>2022-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-matroidal-ideals-1902.05251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-matroidal-ideals-1902.05251"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-and-2-agl-rings-1902.05335</loc><lastmod>2019-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-and-2-agl-rings-1902.05335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-and-2-agl-rings-1902.05335"/></url>
<url><loc>https://scifaro.com/en/abs/beyond-coins-stamps-and-chicken-mcnuggets-an-invitation-to-numerical-semigroups-1902.05848</loc><lastmod>2019-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/beyond-coins-stamps-and-chicken-mcnuggets-an-invitation-to-numerical-semigroups-1902.05848"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/beyond-coins-stamps-and-chicken-mcnuggets-an-invitation-to-numerical-semigroups-1902.05848"/></url>
<url><loc>https://scifaro.com/en/abs/a-bass-equality-for-gorenstein-injective-dimension-of-modules-finite-over-homomorphisms-1902.06017</loc><lastmod>2019-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bass-equality-for-gorenstein-injective-dimension-of-modules-finite-over-homomorphisms-1902.06017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bass-equality-for-gorenstein-injective-dimension-of-modules-finite-over-homomorphisms-1902.06017"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-specht-ideal-cohen-macaulay-1902.06577</loc><lastmod>2019-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-specht-ideal-cohen-macaulay-1902.06577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-specht-ideal-cohen-macaulay-1902.06577"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-property-in-derived-commutative-algebra-1902.06771</loc><lastmod>2020-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-in-derived-commutative-algebra-1902.06771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-in-derived-commutative-algebra-1902.06771"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-in-tensor-products-over-one-dimensional-domains-1902.07157</loc><lastmod>2019-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-in-tensor-products-over-one-dimensional-domains-1902.07157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-in-tensor-products-over-one-dimensional-domains-1902.07157"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-for-computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-1902.07384</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-for-computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-1902.07384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-for-computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-1902.07384"/></url>
<url><loc>https://scifaro.com/en/abs/on-semicontinuity-of-multiplicities-in-families-1902.07460</loc><lastmod>2020-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-semicontinuity-of-multiplicities-in-families-1902.07460"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-semicontinuity-of-multiplicities-in-families-1902.07460"/></url>
<url><loc>https://scifaro.com/en/abs/characteristic-free-description-of-semi-invariants-of-2-times-2-matrices-1902.08014</loc><lastmod>2020-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characteristic-free-description-of-semi-invariants-of-2-times-2-matrices-1902.08014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characteristic-free-description-of-semi-invariants-of-2-times-2-matrices-1902.08014"/></url>
<url><loc>https://scifaro.com/en/abs/graded-change-of-ring-1902.08611</loc><lastmod>2020-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-change-of-ring-1902.08611"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-change-of-ring-1902.08611"/></url>
<url><loc>https://scifaro.com/en/abs/another-proof-of-the-nowicki-conjecture-1902.08758</loc><lastmod>2019-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/another-proof-of-the-nowicki-conjecture-1902.08758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/another-proof-of-the-nowicki-conjecture-1902.08758"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolution-of-products-of-monomial-ideals-related-to-maximal-minors-1902.09748</loc><lastmod>2026-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolution-of-products-of-monomial-ideals-related-to-maximal-minors-1902.09748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolution-of-products-of-monomial-ideals-related-to-maximal-minors-1902.09748"/></url>
<url><loc>https://scifaro.com/en/abs/the-category-of-cellular-resolutions-1902.09873</loc><lastmod>2019-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-category-of-cellular-resolutions-1902.09873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-category-of-cellular-resolutions-1902.09873"/></url>
<url><loc>https://scifaro.com/en/abs/induced-matching-numbers-of-finite-graphs-and-edge-ideals-1902.10429</loc><lastmod>2019-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/induced-matching-numbers-of-finite-graphs-and-edge-ideals-1902.10429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/induced-matching-numbers-of-finite-graphs-and-edge-ideals-1902.10429"/></url>
<url><loc>https://scifaro.com/en/abs/finite-support-of-tensor-products-1902.10509</loc><lastmod>2026-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-support-of-tensor-products-1902.10509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-support-of-tensor-products-1902.10509"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-certain-cover-ideals-of-graphs-1903.00178</loc><lastmod>2021-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-certain-cover-ideals-of-graphs-1903.00178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-certain-cover-ideals-of-graphs-1903.00178"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-modules-by-reflexive-morphisms-1903.00850</loc><lastmod>2021-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-modules-by-reflexive-morphisms-1903.00850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-modules-by-reflexive-morphisms-1903.00850"/></url>
<url><loc>https://scifaro.com/en/abs/generalization-of-a-connectedness-result-to-cohomologically-complete-intersections-1903.00874</loc><lastmod>2019-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalization-of-a-connectedness-result-to-cohomologically-complete-intersections-1903.00874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalization-of-a-connectedness-result-to-cohomologically-complete-intersections-1903.00874"/></url>
<url><loc>https://scifaro.com/en/abs/singularities-of-rees-like-algebras-1903.00973</loc><lastmod>2019-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singularities-of-rees-like-algebras-1903.00973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singularities-of-rees-like-algebras-1903.00973"/></url>
<url><loc>https://scifaro.com/en/abs/corrigendum-to-reduced-tangent-cones-and-conductor-at-multiplanar-isolated-singularities-1903.01121</loc><lastmod>2019-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/corrigendum-to-reduced-tangent-cones-and-conductor-at-multiplanar-isolated-singularities-1903.01121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/corrigendum-to-reduced-tangent-cones-and-conductor-at-multiplanar-isolated-singularities-1903.01121"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-of-reducibility-of-parameter-ideals-the-stable-and-limit-values-1903.01315</loc><lastmod>2019-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-of-parameter-ideals-the-stable-and-limit-values-1903.01315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-of-reducibility-of-parameter-ideals-the-stable-and-limit-values-1903.01315"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-bundles-on-the-degree-six-segre-fourfold-1903.01439</loc><lastmod>2023-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-bundles-on-the-degree-six-segre-fourfold-1903.01439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-bundles-on-the-degree-six-segre-fourfold-1903.01439"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-nowicki-conjecture-1903.01788</loc><lastmod>2019-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-nowicki-conjecture-1903.01788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-nowicki-conjecture-1903.01788"/></url>
<url><loc>https://scifaro.com/en/abs/embedding-dimension-of-a-good-semigroup-1903.02057</loc><lastmod>2019-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/embedding-dimension-of-a-good-semigroup-1903.02057"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/embedding-dimension-of-a-good-semigroup-1903.02057"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-in-grothendieck-categories-1903.02607</loc><lastmod>2019-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-in-grothendieck-categories-1903.02607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-in-grothendieck-categories-1903.02607"/></url>
<url><loc>https://scifaro.com/en/abs/adelic-cohomology-1903.02668</loc><lastmod>2019-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adelic-cohomology-1903.02668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adelic-cohomology-1903.02668"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-pfister-forms-over-mathbb-c-x-1-ldots-x-n-1903.02776</loc><lastmod>2019-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-pfister-forms-over-mathbb-c-x-1-ldots-x-n-1903.02776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-pfister-forms-over-mathbb-c-x-1-ldots-x-n-1903.02776"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-that-are-not-locally-free-on-the-punctured-spectrum-1903.03287</loc><lastmod>2020-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-that-are-not-locally-free-on-the-punctured-spectrum-1903.03287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-modules-that-are-not-locally-free-on-the-punctured-spectrum-1903.03287"/></url>
<url><loc>https://scifaro.com/en/abs/packing-properties-of-cubic-squarefree-monomial-ideals-1903.03573</loc><lastmod>2021-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/packing-properties-of-cubic-squarefree-monomial-ideals-1903.03573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/packing-properties-of-cubic-squarefree-monomial-ideals-1903.03573"/></url>
<url><loc>https://scifaro.com/en/abs/toward-free-resolutions-over-scrolls-1903.03687</loc><lastmod>2019-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toward-free-resolutions-over-scrolls-1903.03687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toward-free-resolutions-over-scrolls-1903.03687"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-divisor-pair-domains-1903.03870</loc><lastmod>2019-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-divisor-pair-domains-1903.03870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-divisor-pair-domains-1903.03870"/></url>
<url><loc>https://scifaro.com/en/abs/some-criteria-for-detecting-large-homomorphisms-of-local-rings-1903.03900</loc><lastmod>2021-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-criteria-for-detecting-large-homomorphisms-of-local-rings-1903.03900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-criteria-for-detecting-large-homomorphisms-of-local-rings-1903.03900"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-tate-homology-via-the-approximation-theory-with-applications-to-the-depth-formula-1903.04091</loc><lastmod>2022-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-tate-homology-via-the-approximation-theory-with-applications-to-the-depth-formula-1903.04091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-tate-homology-via-the-approximation-theory-with-applications-to-the-depth-formula-1903.04091"/></url>
<url><loc>https://scifaro.com/en/abs/so-what-is-class-number-2-1903.04606</loc><lastmod>2019-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/so-what-is-class-number-2-1903.04606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/so-what-is-class-number-2-1903.04606"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-homological-invariant-for-modules-1903.05308</loc><lastmod>2019-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-homological-invariant-for-modules-1903.05308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-homological-invariant-for-modules-1903.05308"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-1903.05313</loc><lastmod>2019-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-1903.05313"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-1903.05313"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-interplay-between-the-frobenius-functor-and-its-dual-1903.05463</loc><lastmod>2020-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-interplay-between-the-frobenius-functor-and-its-dual-1903.05463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-interplay-between-the-frobenius-functor-and-its-dual-1903.05463"/></url>
<url><loc>https://scifaro.com/en/abs/measuring-the-non-gorenstein-locus-of-hibi-rings-and-normal-affine-semigroup-rings-1903.05847</loc><lastmod>2020-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/measuring-the-non-gorenstein-locus-of-hibi-rings-and-normal-affine-semigroup-rings-1903.05847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/measuring-the-non-gorenstein-locus-of-hibi-rings-and-normal-affine-semigroup-rings-1903.05847"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-pi-t-projectivity-with-respect-to-a-tilting-module-1903.07144</loc><lastmod>2019-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-pi-t-projectivity-with-respect-to-a-tilting-module-1903.07144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-pi-t-projectivity-with-respect-to-a-tilting-module-1903.07144"/></url>
<url><loc>https://scifaro.com/en/abs/on-commutative-differential-graded-algebras-1903.07514</loc><lastmod>2019-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-commutative-differential-graded-algebras-1903.07514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-commutative-differential-graded-algebras-1903.07514"/></url>
<url><loc>https://scifaro.com/en/abs/fibers-of-multi-graded-rational-maps-and-orthogonal-projection-onto-rational-surfaces-1903.08107</loc><lastmod>2020-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fibers-of-multi-graded-rational-maps-and-orthogonal-projection-onto-rational-surfaces-1903.08107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fibers-of-multi-graded-rational-maps-and-orthogonal-projection-onto-rational-surfaces-1903.08107"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-i-1903.08265</loc><lastmod>2020-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-i-1903.08265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-i-1903.08265"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-ii-1903.08273</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-ii-1903.08273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-gorenstein-rings-and-the-koszul-property-ii-1903.08273"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-in-hilbert-schemes-of-complete-intersections-1903.08770</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-in-hilbert-schemes-of-complete-intersections-1903.08770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-in-hilbert-schemes-of-complete-intersections-1903.08770"/></url>
<url><loc>https://scifaro.com/en/abs/basis-criteria-for-generalized-spline-modules-via-determinant-1903.08968</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/basis-criteria-for-generalized-spline-modules-via-determinant-1903.08968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/basis-criteria-for-generalized-spline-modules-via-determinant-1903.08968"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-koszul-property-of-symbolic-powers-of-monomial-ideals-1903.09026</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-koszul-property-of-symbolic-powers-of-monomial-ideals-1903.09026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-koszul-property-of-symbolic-powers-of-monomial-ideals-1903.09026"/></url>
<url><loc>https://scifaro.com/en/abs/radical-factorization-in-finitary-ideal-systems-1903.09237</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-factorization-in-finitary-ideal-systems-1903.09237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-factorization-in-finitary-ideal-systems-1903.09237"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-for-checking-zero-dimensional-complete-intersections-1903.09563</loc><lastmod>2019-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-for-checking-zero-dimensional-complete-intersections-1903.09563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-for-checking-zero-dimensional-complete-intersections-1903.09563"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-of-the-sally-module-and-the-second-normal-hilbert-coefficient-1903.10364</loc><lastmod>2019-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-of-the-sally-module-and-the-second-normal-hilbert-coefficient-1903.10364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-of-the-sally-module-and-the-second-normal-hilbert-coefficient-1903.10364"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-ideals-1903.10647</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-ideals-1903.10647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-containment-problem-for-fat-points-ideals-1903.10647"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-unicyclic-graphs-1903.10962</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-unicyclic-graphs-1903.10962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-unicyclic-graphs-1903.10962"/></url>
<url><loc>https://scifaro.com/en/abs/on-pseudo-frobenius-elements-of-submonoids-of-mathbb-n-d-1903.11028</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pseudo-frobenius-elements-of-submonoids-of-mathbb-n-d-1903.11028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pseudo-frobenius-elements-of-submonoids-of-mathbb-n-d-1903.11028"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-containment-vs-powers-1903.11035</loc><lastmod>2019-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-containment-vs-powers-1903.11035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-containment-vs-powers-1903.11035"/></url>
<url><loc>https://scifaro.com/en/abs/powers-vs-powers-1903.11067</loc><lastmod>2019-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-vs-powers-1903.11067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-vs-powers-1903.11067"/></url>
<url><loc>https://scifaro.com/en/abs/the-level-of-pairs-of-polynomials-1903.11311</loc><lastmod>2022-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-level-of-pairs-of-polynomials-1903.11311"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-level-of-pairs-of-polynomials-1903.11311"/></url>
<url><loc>https://scifaro.com/en/abs/expected-resurgences-and-symbolic-powers-of-ideals-1903.12122</loc><lastmod>2020-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/expected-resurgences-and-symbolic-powers-of-ideals-1903.12122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/expected-resurgences-and-symbolic-powers-of-ideals-1903.12122"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-growth-of-betti-numbers-and-trivial-vanishing-of-co-homology-1903.12324</loc><lastmod>2020-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-growth-of-betti-numbers-and-trivial-vanishing-of-co-homology-1903.12324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-growth-of-betti-numbers-and-trivial-vanishing-of-co-homology-1903.12324"/></url>
<url><loc>https://scifaro.com/en/abs/large-lower-bounds-for-the-betti-numbers-of-graded-modules-with-low-regularity-1903.12503</loc><lastmod>2019-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/large-lower-bounds-for-the-betti-numbers-of-graded-modules-with-low-regularity-1903.12503"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/large-lower-bounds-for-the-betti-numbers-of-graded-modules-with-low-regularity-1903.12503"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-invariants-of-puiseux-monoids-generated-by-geometric-sequences-1904.00219</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-invariants-of-puiseux-monoids-generated-by-geometric-sequences-1904.00219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-invariants-of-puiseux-monoids-generated-by-geometric-sequences-1904.00219"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-associated-to-certain-monomial-curves-in-mathbb-p-3-1904.00556</loc><lastmod>2020-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-associated-to-certain-monomial-curves-in-mathbb-p-3-1904.00556"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-blowup-algebras-and-invariants-associated-to-certain-monomial-curves-in-mathbb-p-3-1904.00556"/></url>
<url><loc>https://scifaro.com/en/abs/an-application-of-liaison-theory-to-zero-dimensional-schemes-1904.00703</loc><lastmod>2019-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-application-of-liaison-theory-to-zero-dimensional-schemes-1904.00703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-application-of-liaison-theory-to-zero-dimensional-schemes-1904.00703"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-extremal-betti-number-of-binomial-edge-ideals-1904.00829</loc><lastmod>2019-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-extremal-betti-number-of-binomial-edge-ideals-1904.00829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-extremal-betti-number-of-binomial-edge-ideals-1904.00829"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-and-homological-dimensions-of-complexes-1904.00955</loc><lastmod>2019-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-and-homological-dimensions-of-complexes-1904.00955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-and-homological-dimensions-of-complexes-1904.00955"/></url>
<url><loc>https://scifaro.com/en/abs/toric-degenerations-of-grassmannians-and-schubert-varieties-from-matching-field-tableaux-1904.00981</loc><lastmod>2020-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-degenerations-of-grassmannians-and-schubert-varieties-from-matching-field-tableaux-1904.00981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-degenerations-of-grassmannians-and-schubert-varieties-from-matching-field-tableaux-1904.00981"/></url>
<url><loc>https://scifaro.com/en/abs/strict-log-concavity-of-the-kirchhoff-polynomial-and-its-applications-to-the-strong-lefschetz-property-1904.01800</loc><lastmod>2019-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strict-log-concavity-of-the-kirchhoff-polynomial-and-its-applications-to-the-strong-lefschetz-property-1904.01800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strict-log-concavity-of-the-kirchhoff-polynomial-and-its-applications-to-the-strong-lefschetz-property-1904.01800"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-and-rees-algebras-of-ideals-with-linear-powers-1904.01995</loc><lastmod>2021-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-and-rees-algebras-of-ideals-with-linear-powers-1904.01995"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-and-rees-algebras-of-ideals-with-linear-powers-1904.01995"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-vertex-weighted-oriented-unicyclic-graphs-1904.02305</loc><lastmod>2019-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-vertex-weighted-oriented-unicyclic-graphs-1904.02305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-vertex-weighted-oriented-unicyclic-graphs-1904.02305"/></url>
<url><loc>https://scifaro.com/en/abs/topics-on-smooth-commutative-algebra-1904.02725</loc><lastmod>2020-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topics-on-smooth-commutative-algebra-1904.02725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topics-on-smooth-commutative-algebra-1904.02725"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-powers-of-edge-ideals-of-vertex-weighted-rooted-forests-1904.03019</loc><lastmod>2019-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-powers-of-edge-ideals-of-vertex-weighted-rooted-forests-1904.03019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-powers-of-edge-ideals-of-vertex-weighted-rooted-forests-1904.03019"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-homological-dimensions-1904.03586</loc><lastmod>2019-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-homological-dimensions-1904.03586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-homological-dimensions-1904.03586"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-hybrid-graphs-1904.03824</loc><lastmod>2019-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-hybrid-graphs-1904.03824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-hybrid-graphs-1904.03824"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-about-trunks-and-morphisms-of-neural-codes-1904.04470</loc><lastmod>2020-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-about-trunks-and-morphisms-of-neural-codes-1904.04470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-about-trunks-and-morphisms-of-neural-codes-1904.04470"/></url>
<url><loc>https://scifaro.com/en/abs/almost-complete-intersection-binomial-edge-ideals-and-their-rees-algebras-1904.04499</loc><lastmod>2020-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-complete-intersection-binomial-edge-ideals-and-their-rees-algebras-1904.04499"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-complete-intersection-binomial-edge-ideals-and-their-rees-algebras-1904.04499"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-m-partite-graphs-1904.04682</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-m-partite-graphs-1904.04682"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-m-partite-graphs-1904.04682"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-fiber-cone-of-monomial-ideals-1904.04988</loc><lastmod>2019-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-fiber-cone-of-monomial-ideals-1904.04988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-fiber-cone-of-monomial-ideals-1904.04988"/></url>
<url><loc>https://scifaro.com/en/abs/the-sequence-of-mixed-l-ojasiewicz-exponents-associated-to-pairs-of-ideals-1904.05292</loc><lastmod>2019-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-sequence-of-mixed-l-ojasiewicz-exponents-associated-to-pairs-of-ideals-1904.05292"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-sequence-of-mixed-l-ojasiewicz-exponents-associated-to-pairs-of-ideals-1904.05292"/></url>
<url><loc>https://scifaro.com/en/abs/the-hochschild-cohomology-ring-of-the-numerical-semigroup-algebras-of-embedding-dimension-two-1904.05733</loc><lastmod>2019-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-hochschild-cohomology-ring-of-the-numerical-semigroup-algebras-of-embedding-dimension-two-1904.05733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-hochschild-cohomology-ring-of-the-numerical-semigroup-algebras-of-embedding-dimension-two-1904.05733"/></url>
<url><loc>https://scifaro.com/en/abs/resurgence-and-castelnuovo-mumford-regularity-of-certain-monomial-curves-in-mathbb-a-3-1904.05797</loc><lastmod>2020-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resurgence-and-castelnuovo-mumford-regularity-of-certain-monomial-curves-in-mathbb-a-3-1904.05797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resurgence-and-castelnuovo-mumford-regularity-of-certain-monomial-curves-in-mathbb-a-3-1904.05797"/></url>
<url><loc>https://scifaro.com/en/abs/what-makes-a-complex-a-virtual-resolution-1904.05994</loc><lastmod>2021-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/what-makes-a-complex-a-virtual-resolution-1904.05994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/what-makes-a-complex-a-virtual-resolution-1904.05994"/></url>
<url><loc>https://scifaro.com/en/abs/a-topology-on-the-set-of-isomorphism-classes-of-maximal-cohen-macaulay-modules-1904.06035</loc><lastmod>2019-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-topology-on-the-set-of-isomorphism-classes-of-maximal-cohen-macaulay-modules-1904.06035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-topology-on-the-set-of-isomorphism-classes-of-maximal-cohen-macaulay-modules-1904.06035"/></url>
<url><loc>https://scifaro.com/en/abs/connected-sums-of-graded-artinian-gorenstein-algebras-and-lefschetz-properties-1904.06297</loc><lastmod>2021-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connected-sums-of-graded-artinian-gorenstein-algebras-and-lefschetz-properties-1904.06297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connected-sums-of-graded-artinian-gorenstein-algebras-and-lefschetz-properties-1904.06297"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-rings-arising-from-fiber-products-1904.07051</loc><lastmod>2021-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-rings-arising-from-fiber-products-1904.07051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-rings-arising-from-fiber-products-1904.07051"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-computation-of-castelnuovo-mumford-regularity-of-the-rees-algebra-and-of-the-fiber-ring-1904.07484</loc><lastmod>2019-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-computation-of-castelnuovo-mumford-regularity-of-the-rees-algebra-and-of-the-fiber-ring-1904.07484"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-computation-of-castelnuovo-mumford-regularity-of-the-rees-algebra-and-of-the-fiber-ring-1904.07484"/></url>
<url><loc>https://scifaro.com/en/abs/depth-functions-of-powers-of-homogeneous-ideals-1904.07587</loc><lastmod>2021-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-functions-of-powers-of-homogeneous-ideals-1904.07587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-functions-of-powers-of-homogeneous-ideals-1904.07587"/></url>
<url><loc>https://scifaro.com/en/abs/the-stable-category-of-gorenstein-flat-sheaves-on-a-noetherian-scheme-1904.07661</loc><lastmod>2020-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stable-category-of-gorenstein-flat-sheaves-on-a-noetherian-scheme-1904.07661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stable-category-of-gorenstein-flat-sheaves-on-a-noetherian-scheme-1904.07661"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-system-of-generators-and-syzygies-of-centro-affine-invariants-and-covariants-for-homogeneous-planar-cubic-differential-systems-with-free-terms-and-linear-part-1904.07706</loc><lastmod>2019-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-system-of-generators-and-syzygies-of-centro-affine-invariants-and-covariants-for-homogeneous-planar-cubic-differential-systems-with-free-terms-and-linear-part-1904.07706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-system-of-generators-and-syzygies-of-centro-affine-invariants-and-covariants-for-homogeneous-planar-cubic-differential-systems-with-free-terms-and-linear-part-1904.07706"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-the-symbolic-powers-of-edge-ideals-1904.07717</loc><lastmod>2019-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-the-symbolic-powers-of-edge-ideals-1904.07717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-the-symbolic-powers-of-edge-ideals-1904.07717"/></url>
<url><loc>https://scifaro.com/en/abs/a-transformation-rule-for-natural-multiplicities-1904.07755</loc><lastmod>2020-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-transformation-rule-for-natural-multiplicities-1904.07755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-transformation-rule-for-natural-multiplicities-1904.07755"/></url>
<url><loc>https://scifaro.com/en/abs/free-differential-galois-groups-1904.07806</loc><lastmod>2022-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-differential-galois-groups-1904.07806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-differential-galois-groups-1904.07806"/></url>
<url><loc>https://scifaro.com/en/abs/toric-degenerations-of-flag-varieties-from-matching-field-tableaux-1904.07832</loc><lastmod>2020-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-degenerations-of-flag-varieties-from-matching-field-tableaux-1904.07832"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-degenerations-of-flag-varieties-from-matching-field-tableaux-1904.07832"/></url>
<url><loc>https://scifaro.com/en/abs/generators-of-koszul-homology-with-coefficients-in-a-underline-g-weak-complete-intersection-module-1904.08350</loc><lastmod>2019-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-of-koszul-homology-with-coefficients-in-a-underline-g-weak-complete-intersection-module-1904.08350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-of-koszul-homology-with-coefficients-in-a-underline-g-weak-complete-intersection-module-1904.08350"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-f-signatures-splitting-primes-and-test-modules-under-finite-covers-1904.10382</loc><lastmod>2022-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-f-signatures-splitting-primes-and-test-modules-under-finite-covers-1904.10382"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-f-signatures-splitting-primes-and-test-modules-under-finite-covers-1904.10382"/></url>
<url><loc>https://scifaro.com/en/abs/group-actions-on-matrices-over-local-rings-annihilators-of-t-1-modules-for-the-groups-mathcal-g-lr-mathcal-g-congr-1904.10790</loc><lastmod>2019-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/group-actions-on-matrices-over-local-rings-annihilators-of-t-1-modules-for-the-groups-mathcal-g-lr-mathcal-g-congr-1904.10790"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/group-actions-on-matrices-over-local-rings-annihilators-of-t-1-modules-for-the-groups-mathcal-g-lr-mathcal-g-congr-1904.10790"/></url>
<url><loc>https://scifaro.com/en/abs/certain-algebraic-invariants-of-edge-ideals-of-join-of-graphs-1904.11480</loc><lastmod>2020-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certain-algebraic-invariants-of-edge-ideals-of-join-of-graphs-1904.11480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certain-algebraic-invariants-of-edge-ideals-of-join-of-graphs-1904.11480"/></url>
<url><loc>https://scifaro.com/en/abs/efficient-generation-of-ideals-in-core-subalgebras-of-the-polynomial-ring-k-t-over-a-field-k-1904.11708</loc><lastmod>2019-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficient-generation-of-ideals-in-core-subalgebras-of-the-polynomial-ring-k-t-over-a-field-k-1904.11708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficient-generation-of-ideals-in-core-subalgebras-of-the-polynomial-ring-k-t-over-a-field-k-1904.11708"/></url>
<url><loc>https://scifaro.com/en/abs/multiplication-semimodules-1904.11729</loc><lastmod>2019-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplication-semimodules-1904.11729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplication-semimodules-1904.11729"/></url>
<url><loc>https://scifaro.com/en/abs/a-motivation-for-some-local-cohomologies-1904.12216</loc><lastmod>2019-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-motivation-for-some-local-cohomologies-1904.12216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-motivation-for-some-local-cohomologies-1904.12216"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-length-four-which-are-differential-graded-algebras-1904.12405</loc><lastmod>2021-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-length-four-which-are-differential-graded-algebras-1904.12405"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-length-four-which-are-differential-graded-algebras-1904.12405"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-maximal-solution-of-a-linear-system-over-tropical-semirings-1904.13169</loc><lastmod>2019-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-maximal-solution-of-a-linear-system-over-tropical-semirings-1904.13169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-maximal-solution-of-a-linear-system-over-tropical-semirings-1904.13169"/></url>
<url><loc>https://scifaro.com/en/abs/solving-linear-systems-over-idempotent-semifields-through-lu-factorization-1904.13256</loc><lastmod>2019-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solving-linear-systems-over-idempotent-semifields-through-lu-factorization-1904.13256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solving-linear-systems-over-idempotent-semifields-through-lu-factorization-1904.13256"/></url>
<url><loc>https://scifaro.com/en/abs/solving-linear-systems-over-tropical-semirings-through-normalization-method-and-its-applications-1905.00489</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solving-linear-systems-over-tropical-semirings-through-normalization-method-and-its-applications-1905.00489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solving-linear-systems-over-tropical-semirings-through-normalization-method-and-its-applications-1905.00489"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-in-four-variables-1905.01151</loc><lastmod>2019-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-in-four-variables-1905.01151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-monomial-ideals-in-four-variables-1905.01151"/></url>
<url><loc>https://scifaro.com/en/abs/positivity-of-mixed-multiplicities-of-filtrations-1905.01505</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/positivity-of-mixed-multiplicities-of-filtrations-1905.01505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/positivity-of-mixed-multiplicities-of-filtrations-1905.01505"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-of-divisorial-filtrations-1905.01508</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-of-divisorial-filtrations-1905.01508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-of-divisorial-filtrations-1905.01508"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-behavior-of-modules-of-m-integrable-derivations-in-the-sense-of-hasse-schmidt-under-base-change-1905.01704</loc><lastmod>2026-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-behavior-of-modules-of-m-integrable-derivations-in-the-sense-of-hasse-schmidt-under-base-change-1905.01704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-behavior-of-modules-of-m-integrable-derivations-in-the-sense-of-hasse-schmidt-under-base-change-1905.01704"/></url>
<url><loc>https://scifaro.com/en/abs/totally-reflexive-modules-over-connected-sums-with-m-3-0-1905.02032</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/totally-reflexive-modules-over-connected-sums-with-m-3-0-1905.02032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/totally-reflexive-modules-over-connected-sums-with-m-3-0-1905.02032"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-ulrich-ideals-in-hypersurfaces-1905.02048</loc><lastmod>2020-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-ulrich-ideals-in-hypersurfaces-1905.02048"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-ulrich-ideals-in-hypersurfaces-1905.02048"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-monoids-ii-lifts-transmissions-and-equalizers-1905.02091</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-monoids-ii-lifts-transmissions-and-equalizers-1905.02091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-monoids-ii-lifts-transmissions-and-equalizers-1905.02091"/></url>
<url><loc>https://scifaro.com/en/abs/matching-numbers-and-the-regularity-of-the-rees-algebra-of-an-edge-ideal-1905.02141</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matching-numbers-and-the-regularity-of-the-rees-algebra-of-an-edge-ideal-1905.02141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matching-numbers-and-the-regularity-of-the-rees-algebra-of-an-edge-ideal-1905.02141"/></url>
<url><loc>https://scifaro.com/en/abs/extensions-of-a-valuation-from-k-to-k-x-1905.02169</loc><lastmod>2019-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extensions-of-a-valuation-from-k-to-k-x-1905.02169"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extensions-of-a-valuation-from-k-to-k-x-1905.02169"/></url>
<url><loc>https://scifaro.com/en/abs/burch-ideals-and-burch-rings-1905.02310</loc><lastmod>2019-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/burch-ideals-and-burch-rings-1905.02310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/burch-ideals-and-burch-rings-1905.02310"/></url>
<url><loc>https://scifaro.com/en/abs/the-ir-regularity-of-tor-and-ext-1905.02375</loc><lastmod>2023-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ir-regularity-of-tor-and-ext-1905.02375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ir-regularity-of-tor-and-ext-1905.02375"/></url>
<url><loc>https://scifaro.com/en/abs/induced-matchings-in-strongly-biconvex-graphs-and-some-algebraic-applications-1905.02640</loc><lastmod>2019-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/induced-matchings-in-strongly-biconvex-graphs-and-some-algebraic-applications-1905.02640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/induced-matchings-in-strongly-biconvex-graphs-and-some-algebraic-applications-1905.02640"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-canonical-ideal-of-the-ehrhart-ring-of-the-chain-polytope-of-a-poset-1905.03736</loc><lastmod>2019-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-canonical-ideal-of-the-ehrhart-ring-of-the-chain-polytope-of-a-poset-1905.03736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-canonical-ideal-of-the-ehrhart-ring-of-the-chain-polytope-of-a-poset-1905.03736"/></url>
<url><loc>https://scifaro.com/en/abs/a-little-more-on-the-zero-divisor-graph-and-the-annihilating-ideal-graph-of-a-reduced-ring-1905.04530</loc><lastmod>2019-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-little-more-on-the-zero-divisor-graph-and-the-annihilating-ideal-graph-of-a-reduced-ring-1905.04530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-little-more-on-the-zero-divisor-graph-and-the-annihilating-ideal-graph-of-a-reduced-ring-1905.04530"/></url>
<url><loc>https://scifaro.com/en/abs/reducing-invariants-and-total-reflexivity-1905.04731</loc><lastmod>2020-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducing-invariants-and-total-reflexivity-1905.04731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducing-invariants-and-total-reflexivity-1905.04731"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linearity-of-projective-varieties-with-almost-maximal-degree-1905.04826</loc><lastmod>2021-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linearity-of-projective-varieties-with-almost-maximal-degree-1905.04826"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linearity-of-projective-varieties-with-almost-maximal-degree-1905.04826"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-and-factorizations-in-monoid-rings-1905.07168</loc><lastmod>2020-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-and-factorizations-in-monoid-rings-1905.07168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-and-factorizations-in-monoid-rings-1905.07168"/></url>
<url><loc>https://scifaro.com/en/abs/reduced-group-schemes-as-iterative-differential-galois-groups-1905.07238</loc><lastmod>2021-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduced-group-schemes-as-iterative-differential-galois-groups-1905.07238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduced-group-schemes-as-iterative-differential-galois-groups-1905.07238"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-gr-o-bner-bases-of-modules-1905.07517</loc><lastmod>2022-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-gr-o-bner-bases-of-modules-1905.07517"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-gr-o-bner-bases-of-modules-1905.07517"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-zero-sum-constant-the-davenport-constant-and-their-analogues-1905.07648</loc><lastmod>2019-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-zero-sum-constant-the-davenport-constant-and-their-analogues-1905.07648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-zero-sum-constant-the-davenport-constant-and-their-analogues-1905.07648"/></url>
<url><loc>https://scifaro.com/en/abs/the-syzygy-theorem-for-b-ezout-rings-1905.08117</loc><lastmod>2024-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-syzygy-theorem-for-b-ezout-rings-1905.08117"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-syzygy-theorem-for-b-ezout-rings-1905.08117"/></url>
<url><loc>https://scifaro.com/en/abs/bivariate-semialgebraic-splines-1905.08438</loc><lastmod>2020-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bivariate-semialgebraic-splines-1905.08438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bivariate-semialgebraic-splines-1905.08438"/></url>
<url><loc>https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-of-cover-ideals-of-graphs-1905.09521</loc><lastmod>2019-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-of-cover-ideals-of-graphs-1905.09521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-numbers-of-local-cohomology-of-cover-ideals-of-graphs-1905.09521"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-tor-over-fiber-products-1905.09697</loc><lastmod>2019-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-tor-over-fiber-products-1905.09697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-tor-over-fiber-products-1905.09697"/></url>
<url><loc>https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-submodules-of-a-module-1905.10275</loc><lastmod>2019-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-submodules-of-a-module-1905.10275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-irreducible-and-strongly-2-irreducible-submodules-of-a-module-1905.10275"/></url>
<url><loc>https://scifaro.com/en/abs/unmixedness-and-arithmetic-properties-of-matroidal-ideals-1905.10294</loc><lastmod>2019-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixedness-and-arithmetic-properties-of-matroidal-ideals-1905.10294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixedness-and-arithmetic-properties-of-matroidal-ideals-1905.10294"/></url>
<url><loc>https://scifaro.com/en/abs/stone-type-representations-and-dualities-by-power-set-ring-1905.10612</loc><lastmod>2021-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stone-type-representations-and-dualities-by-power-set-ring-1905.10612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stone-type-representations-and-dualities-by-power-set-ring-1905.10612"/></url>
<url><loc>https://scifaro.com/en/abs/compatible-algebras-with-straightening-laws-on-distributive-lattices-1905.11331</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compatible-algebras-with-straightening-laws-on-distributive-lattices-1905.11331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compatible-algebras-with-straightening-laws-on-distributive-lattices-1905.11331"/></url>
<url><loc>https://scifaro.com/en/abs/use-dg-methods-to-build-a-matrix-factorization-1905.11435</loc><lastmod>2019-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/use-dg-methods-to-build-a-matrix-factorization-1905.11435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/use-dg-methods-to-build-a-matrix-factorization-1905.11435"/></url>
<url><loc>https://scifaro.com/en/abs/interpolation-over-zz-and-torsion-in-class-groups-1905.12097</loc><lastmod>2020-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/interpolation-over-zz-and-torsion-in-class-groups-1905.12097"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/interpolation-over-zz-and-torsion-in-class-groups-1905.12097"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalized-hamming-weights-of-certain-reed-muller-type-codes-1905.12136</loc><lastmod>2020-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalized-hamming-weights-of-certain-reed-muller-type-codes-1905.12136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalized-hamming-weights-of-certain-reed-muller-type-codes-1905.12136"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-and-relative-cohen-maculayness-1905.12390</loc><lastmod>2019-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-and-relative-cohen-maculayness-1905.12390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-and-relative-cohen-maculayness-1905.12390"/></url>
<url><loc>https://scifaro.com/en/abs/on-mathcal-h-y-ideals-1905.12446</loc><lastmod>2019-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-mathcal-h-y-ideals-1905.12446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-mathcal-h-y-ideals-1905.12446"/></url>
<url><loc>https://scifaro.com/en/abs/a-prime-characteristic-analogue-of-a-theorem-of-hartshorne-polini-1905.12584</loc><lastmod>2021-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-prime-characteristic-analogue-of-a-theorem-of-hartshorne-polini-1905.12584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-prime-characteristic-analogue-of-a-theorem-of-hartshorne-polini-1905.12584"/></url>
<url><loc>https://scifaro.com/en/abs/the-schur-veronese-package-in-macaulay2-1905.12661</loc><lastmod>2022-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-schur-veronese-package-in-macaulay2-1905.12661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-schur-veronese-package-in-macaulay2-1905.12661"/></url>
<url><loc>https://scifaro.com/en/abs/ccm-property-and-lyubeznik-numbers-under-groebner-deformations-1905.12664</loc><lastmod>2019-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ccm-property-and-lyubeznik-numbers-under-groebner-deformations-1905.12664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ccm-property-and-lyubeznik-numbers-under-groebner-deformations-1905.12664"/></url>
<url><loc>https://scifaro.com/en/abs/affine-equivalences-isometries-and-symmetries-of-ruled-rational-surfaces-1905.12936</loc><lastmod>2019-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-equivalences-isometries-and-symmetries-of-ruled-rational-surfaces-1905.12936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-equivalences-isometries-and-symmetries-of-ruled-rational-surfaces-1905.12936"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-for-self-orthogonal-categories-of-modules-1905.13579</loc><lastmod>2019-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-for-self-orthogonal-categories-of-modules-1905.13579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-for-self-orthogonal-categories-of-modules-1905.13579"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-for-two-copies-of-the-natural-s-n-action-1905.13608</loc><lastmod>2019-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-for-two-copies-of-the-natural-s-n-action-1905.13608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-for-two-copies-of-the-natural-s-n-action-1905.13608"/></url>
<url><loc>https://scifaro.com/en/abs/i-cohen-macaulay-modules-1906.00143</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/i-cohen-macaulay-modules-1906.00143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/i-cohen-macaulay-modules-1906.00143"/></url>
<url><loc>https://scifaro.com/en/abs/elimination-ideals-and-bezout-relations-1906.00231</loc><lastmod>2020-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-ideals-and-bezout-relations-1906.00231"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-ideals-and-bezout-relations-1906.00231"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-monomial-ideals-1906.00262</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-monomial-ideals-1906.00262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-of-powers-of-monomial-ideals-1906.00262"/></url>
<url><loc>https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-ii-1906.00370</loc><lastmod>2020-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-ii-1906.00370"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-derived-functors-of-graded-local-cohomology-modules-ii-1906.00370"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-and-the-multiplicity-of-rees-modules-of-reductions-published-in-j-algebra-appl-1906.00406</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-and-the-multiplicity-of-rees-modules-of-reductions-published-in-j-algebra-appl-1906.00406"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-and-the-multiplicity-of-rees-modules-of-reductions-published-in-j-algebra-appl-1906.00406"/></url>
<url><loc>https://scifaro.com/en/abs/virtual-resolutions-of-monomial-ideals-on-toric-varieties-1906.00508</loc><lastmod>2020-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/virtual-resolutions-of-monomial-ideals-on-toric-varieties-1906.00508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/virtual-resolutions-of-monomial-ideals-on-toric-varieties-1906.00508"/></url>
<url><loc>https://scifaro.com/en/abs/unique-factorization-in-polynomial-rings-with-zero-divisors-1906.00522</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unique-factorization-in-polynomial-rings-with-zero-divisors-1906.00522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unique-factorization-in-polynomial-rings-with-zero-divisors-1906.00522"/></url>
<url><loc>https://scifaro.com/en/abs/the-module-of-valabrega-valla-of-the-jacobian-ideal-of-points-in-projective-plane-1906.00626</loc><lastmod>2019-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-module-of-valabrega-valla-of-the-jacobian-ideal-of-points-in-projective-plane-1906.00626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-module-of-valabrega-valla-of-the-jacobian-ideal-of-points-in-projective-plane-1906.00626"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-rees-algebra-and-betti-numbers-of-certain-cover-ideals-1906.00652</loc><lastmod>2021-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-rees-algebra-and-betti-numbers-of-certain-cover-ideals-1906.00652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-rees-algebra-and-betti-numbers-of-certain-cover-ideals-1906.00652"/></url>
<url><loc>https://scifaro.com/en/abs/equimultiplicity-theory-of-strongly-f-regular-rings-1906.01162</loc><lastmod>2019-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equimultiplicity-theory-of-strongly-f-regular-rings-1906.01162"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equimultiplicity-theory-of-strongly-f-regular-rings-1906.01162"/></url>
<url><loc>https://scifaro.com/en/abs/union-of-sets-of-lengths-of-numerical-semigroups-1906.01266</loc><lastmod>2019-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/union-of-sets-of-lengths-of-numerical-semigroups-1906.01266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/union-of-sets-of-lengths-of-numerical-semigroups-1906.01266"/></url>
<url><loc>https://scifaro.com/en/abs/tilting-modules-over-gorensetein-t-n-d-injective-gorensetein-t-n-d-flat-modules-1906.01457</loc><lastmod>2019-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tilting-modules-over-gorensetein-t-n-d-injective-gorensetein-t-n-d-flat-modules-1906.01457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tilting-modules-over-gorensetein-t-n-d-injective-gorensetein-t-n-d-flat-modules-1906.01457"/></url>
<url><loc>https://scifaro.com/en/abs/a-geometrical-characterization-of-proportionally-modular-affine-semigroups-1906.01585</loc><lastmod>2019-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-geometrical-characterization-of-proportionally-modular-affine-semigroups-1906.01585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-geometrical-characterization-of-proportionally-modular-affine-semigroups-1906.01585"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-of-maximal-degrees-j-korean-math-soc-55-2018-no-3-605-622-1906.01985</loc><lastmod>2019-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-of-maximal-degrees-j-korean-math-soc-55-2018-no-3-605-622-1906.01985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-of-maximal-degrees-j-korean-math-soc-55-2018-no-3-605-622-1906.01985"/></url>
<url><loc>https://scifaro.com/en/abs/locally-heavy-hyperplanes-in-multiarrangements-1906.02188</loc><lastmod>2022-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-heavy-hyperplanes-in-multiarrangements-1906.02188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-heavy-hyperplanes-in-multiarrangements-1906.02188"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-ideals-with-linear-free-resolutions-1906.02422</loc><lastmod>2019-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-ideals-with-linear-free-resolutions-1906.02422"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-ideals-with-linear-free-resolutions-1906.02422"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-certain-non-gorenstein-cohen-macaulay-rings-1906.02669</loc><lastmod>2023-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-certain-non-gorenstein-cohen-macaulay-rings-1906.02669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-for-certain-non-gorenstein-cohen-macaulay-rings-1906.02669"/></url>
<url><loc>https://scifaro.com/en/abs/singularities-and-radical-initial-ideals-1906.03192</loc><lastmod>2020-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singularities-and-radical-initial-ideals-1906.03192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singularities-and-radical-initial-ideals-1906.03192"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolutions-over-koszul-complexes-and-koszul-homology-algebras-1906.04136</loc><lastmod>2020-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolutions-over-koszul-complexes-and-koszul-homology-algebras-1906.04136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolutions-over-koszul-complexes-and-koszul-homology-algebras-1906.04136"/></url>
<url><loc>https://scifaro.com/en/abs/analysis-of-linear-systems-over-idempotent-semifields-1906.04543</loc><lastmod>2019-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analysis-of-linear-systems-over-idempotent-semifields-1906.04543"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analysis-of-linear-systems-over-idempotent-semifields-1906.04543"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-projective-dimension-of-powers-of-edge-ideal-of-the-disjoint-union-of-some-weighted-oriented-gap-free-bipartite-graphs-1906.04682</loc><lastmod>2019-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-projective-dimension-of-powers-of-edge-ideal-of-the-disjoint-union-of-some-weighted-oriented-gap-free-bipartite-graphs-1906.04682"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-projective-dimension-of-powers-of-edge-ideal-of-the-disjoint-union-of-some-weighted-oriented-gap-free-bipartite-graphs-1906.04682"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-cographs-1906.05510</loc><lastmod>2021-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-cographs-1906.05510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-cographs-1906.05510"/></url>
<url><loc>https://scifaro.com/en/abs/local-to-global-principles-for-generation-time-over-commutative-noetherian-rings-1906.06104</loc><lastmod>2020-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-to-global-principles-for-generation-time-over-commutative-noetherian-rings-1906.06104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-to-global-principles-for-generation-time-over-commutative-noetherian-rings-1906.06104"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-isomorphisms-of-ext-and-tor-modules-1906.06228</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-isomorphisms-of-ext-and-tor-modules-1906.06228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-isomorphisms-of-ext-and-tor-modules-1906.06228"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-some-families-of-circulant-graphs-1906.06259</loc><lastmod>2019-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-some-families-of-circulant-graphs-1906.06259"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-some-families-of-circulant-graphs-1906.06259"/></url>
<url><loc>https://scifaro.com/en/abs/gauss-lemma-for-polynomials-over-semidomains-1906.06265</loc><lastmod>2019-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gauss-lemma-for-polynomials-over-semidomains-1906.06265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gauss-lemma-for-polynomials-over-semidomains-1906.06265"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-regularity-of-quadratic-monomial-ideals-1906.06358</loc><lastmod>2020-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-regularity-of-quadratic-monomial-ideals-1906.06358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-regularity-of-quadratic-monomial-ideals-1906.06358"/></url>
<url><loc>https://scifaro.com/en/abs/tate-resolutions-and-maximal-cohen-macaulay-approximations-1906.06398</loc><lastmod>2019-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tate-resolutions-and-maximal-cohen-macaulay-approximations-1906.06398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tate-resolutions-and-maximal-cohen-macaulay-approximations-1906.06398"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-and-the-cohen-macaulay-property-of-li-s-double-determinantal-varieties-1906.06817</loc><lastmod>2020-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-the-cohen-macaulay-property-of-li-s-double-determinantal-varieties-1906.06817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-the-cohen-macaulay-property-of-li-s-double-determinantal-varieties-1906.06817"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-geramita-harbourne-migliore-conjecture-1906.08346</loc><lastmod>2020-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-geramita-harbourne-migliore-conjecture-1906.08346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-geramita-harbourne-migliore-conjecture-1906.08346"/></url>
<url><loc>https://scifaro.com/en/abs/efficient-gr-obner-bases-computation-over-principal-ideal-rings-1906.08543</loc><lastmod>2019-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficient-gr-obner-bases-computation-over-principal-ideal-rings-1906.08543"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficient-gr-obner-bases-computation-over-principal-ideal-rings-1906.08543"/></url>
<url><loc>https://scifaro.com/en/abs/on-gr-obner-bases-over-dedekind-domains-1906.08555</loc><lastmod>2020-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gr-obner-bases-over-dedekind-domains-1906.08555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gr-obner-bases-over-dedekind-domains-1906.08555"/></url>
<url><loc>https://scifaro.com/en/abs/a-hilbert-kunz-function-with-a-periodic-term-that-has-a-given-period-1906.08821</loc><lastmod>2019-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-hilbert-kunz-function-with-a-periodic-term-that-has-a-given-period-1906.08821"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-hilbert-kunz-function-with-a-periodic-term-that-has-a-given-period-1906.08821"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-resolutions-of-monomial-ideals-1906.08837</loc><lastmod>2020-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-resolutions-of-monomial-ideals-1906.08837"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-resolutions-of-monomial-ideals-1906.08837"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobeniusthresholds-package-for-macaulay2-1906.09491</loc><lastmod>2021-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobeniusthresholds-package-for-macaulay2-1906.09491"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobeniusthresholds-package-for-macaulay2-1906.09491"/></url>
<url><loc>https://scifaro.com/en/abs/small-projective-spaces-and-stillman-uniformity-for-sheaves-1906.10870</loc><lastmod>2021-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/small-projective-spaces-and-stillman-uniformity-for-sheaves-1906.10870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/small-projective-spaces-and-stillman-uniformity-for-sheaves-1906.10870"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-atomicity-of-monoid-algebras-1906.11138</loc><lastmod>2019-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-atomicity-of-monoid-algebras-1906.11138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-atomicity-of-monoid-algebras-1906.11138"/></url>
<url><loc>https://scifaro.com/en/abs/permanence-properties-of-f-injectivity-1906.11399</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/permanence-properties-of-f-injectivity-1906.11399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/permanence-properties-of-f-injectivity-1906.11399"/></url>
<url><loc>https://scifaro.com/en/abs/trung-s-construction-and-the-charney-davis-conjecture-1906.11482</loc><lastmod>2021-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trung-s-construction-and-the-charney-davis-conjecture-1906.11482"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trung-s-construction-and-the-charney-davis-conjecture-1906.11482"/></url>
<url><loc>https://scifaro.com/en/abs/on-gorenstein-circulant-graphs-and-gorenstein-sqc-graphs-1906.11497</loc><lastmod>2024-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gorenstein-circulant-graphs-and-gorenstein-sqc-graphs-1906.11497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gorenstein-circulant-graphs-and-gorenstein-sqc-graphs-1906.11497"/></url>
<url><loc>https://scifaro.com/en/abs/valuative-dimension-and-monomial-orders-1906.12067</loc><lastmod>2019-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuative-dimension-and-monomial-orders-1906.12067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuative-dimension-and-monomial-orders-1906.12067"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-cover-ideals-of-chordal-graphs-1906.12144</loc><lastmod>2020-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-cover-ideals-of-chordal-graphs-1906.12144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-cover-ideals-of-chordal-graphs-1906.12144"/></url>
<url><loc>https://scifaro.com/en/abs/countably-generated-flat-modules-are-quite-flat-1907.00356</loc><lastmod>2022-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/countably-generated-flat-modules-are-quite-flat-1907.00356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/countably-generated-flat-modules-are-quite-flat-1907.00356"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-powers-of-squarefree-monomial-ideals-1907.00401</loc><lastmod>2019-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-powers-of-squarefree-monomial-ideals-1907.00401"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-powers-of-squarefree-monomial-ideals-1907.00401"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-and-combinatorial-aspects-of-submonoids-of-a-finite-rank-free-commutative-monoid-1907.00744</loc><lastmod>2020-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-and-combinatorial-aspects-of-submonoids-of-a-finite-rank-free-commutative-monoid-1907.00744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-and-combinatorial-aspects-of-submonoids-of-a-finite-rank-free-commutative-monoid-1907.00744"/></url>
<url><loc>https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-1907.00951</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-1907.00951"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-1907.00951"/></url>
<url><loc>https://scifaro.com/en/abs/the-tree-of-good-semigroups-in-mathbb-n-2-and-a-generalization-of-the-wilf-conjecture-1907.01315</loc><lastmod>2020-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-tree-of-good-semigroups-in-mathbb-n-2-and-a-generalization-of-the-wilf-conjecture-1907.01315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-tree-of-good-semigroups-in-mathbb-n-2-and-a-generalization-of-the-wilf-conjecture-1907.01315"/></url>
<url><loc>https://scifaro.com/en/abs/learning-algebraic-decompositions-using-prony-structures-1907.01547</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/learning-algebraic-decompositions-using-prony-structures-1907.01547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/learning-algebraic-decompositions-using-prony-structures-1907.01547"/></url>
<url><loc>https://scifaro.com/en/abs/essentially-finite-generation-of-valuation-rings-in-terms-of-classical-invariants-1907.01859</loc><lastmod>2019-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essentially-finite-generation-of-valuation-rings-in-terms-of-classical-invariants-1907.01859"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essentially-finite-generation-of-valuation-rings-in-terms-of-classical-invariants-1907.01859"/></url>
<url><loc>https://scifaro.com/en/abs/perron-transforms-and-hironaka-s-game-1907.02094</loc><lastmod>2019-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perron-transforms-and-hironaka-s-game-1907.02094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perron-transforms-and-hironaka-s-game-1907.02094"/></url>
<url><loc>https://scifaro.com/en/abs/identit-es-pond-er-ees-peirce-evanescentes-1907.02137</loc><lastmod>2019-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/identit-es-pond-er-ees-peirce-evanescentes-1907.02137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/identit-es-pond-er-ees-peirce-evanescentes-1907.02137"/></url>
<url><loc>https://scifaro.com/en/abs/characteristic-free-test-ideals-1907.02150</loc><lastmod>2021-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characteristic-free-test-ideals-1907.02150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characteristic-free-test-ideals-1907.02150"/></url>
<url><loc>https://scifaro.com/en/abs/the-huneke-wiegand-conjecture-and-middle-terms-of-almost-split-sequences-1907.02348</loc><lastmod>2019-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-huneke-wiegand-conjecture-and-middle-terms-of-almost-split-sequences-1907.02348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-huneke-wiegand-conjecture-and-middle-terms-of-almost-split-sequences-1907.02348"/></url>
<url><loc>https://scifaro.com/en/abs/linear-independence-of-powers-1907.02659</loc><lastmod>2019-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-independence-of-powers-1907.02659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-independence-of-powers-1907.02659"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-cameron-walker-graphs-1907.02743</loc><lastmod>2019-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-cameron-walker-graphs-1907.02743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-edge-ideals-of-cameron-walker-graphs-1907.02743"/></url>
<url><loc>https://scifaro.com/en/abs/the-saturation-number-of-powers-of-graded-ideals-1907.03154</loc><lastmod>2019-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-saturation-number-of-powers-of-graded-ideals-1907.03154"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-saturation-number-of-powers-of-graded-ideals-1907.03154"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-affine-mathcal-c-semigroups-1907.03276</loc><lastmod>2021-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-affine-mathcal-c-semigroups-1907.03276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-affine-mathcal-c-semigroups-1907.03276"/></url>
<url><loc>https://scifaro.com/en/abs/filter-regular-sequence-under-small-perturbations-1907.03637</loc><lastmod>2020-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filter-regular-sequence-under-small-perturbations-1907.03637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filter-regular-sequence-under-small-perturbations-1907.03637"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-symmetric-shifted-ideals-1907.04288</loc><lastmod>2020-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-symmetric-shifted-ideals-1907.04288"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-symmetric-shifted-ideals-1907.04288"/></url>
<url><loc>https://scifaro.com/en/abs/on-ast-homogeneous-ideals-1907.04384</loc><lastmod>2022-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ast-homogeneous-ideals-1907.04384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ast-homogeneous-ideals-1907.04384"/></url>
<url><loc>https://scifaro.com/en/abs/stability-in-graded-rings-associated-with-commutative-augmented-rings-1907.04579</loc><lastmod>2020-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-in-graded-rings-associated-with-commutative-augmented-rings-1907.04579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-in-graded-rings-associated-with-commutative-augmented-rings-1907.04579"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-semi-flat-cotorsion-replacements-and-cosupport-1907.04671</loc><lastmod>2020-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-semi-flat-cotorsion-replacements-and-cosupport-1907.04671"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-semi-flat-cotorsion-replacements-and-cosupport-1907.04671"/></url>
<url><loc>https://scifaro.com/en/abs/the-core-of-a-module-and-the-adjoint-of-an-ideal-over-a-two-dimensional-regular-local-ring-1907.05093</loc><lastmod>2019-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-core-of-a-module-and-the-adjoint-of-an-ideal-over-a-two-dimensional-regular-local-ring-1907.05093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-core-of-a-module-and-the-adjoint-of-an-ideal-over-a-two-dimensional-regular-local-ring-1907.05093"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-symbolic-powers-of-certain-classes-of-edge-ideals-1907.05366</loc><lastmod>2021-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-symbolic-powers-of-certain-classes-of-edge-ideals-1907.05366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-the-regularity-of-symbolic-powers-of-certain-classes-of-edge-ideals-1907.05366"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-cyclic-modules-and-coregular-sequences-1907.05472</loc><lastmod>2019-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-cyclic-modules-and-coregular-sequences-1907.05472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-cyclic-modules-and-coregular-sequences-1907.05472"/></url>
<url><loc>https://scifaro.com/en/abs/gotzmann-monomials-in-four-variables-1907.05622</loc><lastmod>2021-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gotzmann-monomials-in-four-variables-1907.05622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gotzmann-monomials-in-four-variables-1907.05622"/></url>
<url><loc>https://scifaro.com/en/abs/good-rings-and-homogeneous-polynomials-1907.05655</loc><lastmod>2020-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/good-rings-and-homogeneous-polynomials-1907.05655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/good-rings-and-homogeneous-polynomials-1907.05655"/></url>
<url><loc>https://scifaro.com/en/abs/cotilting-with-balanced-big-cohen-macaulay-modules-1907.05795</loc><lastmod>2024-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cotilting-with-balanced-big-cohen-macaulay-modules-1907.05795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cotilting-with-balanced-big-cohen-macaulay-modules-1907.05795"/></url>
<url><loc>https://scifaro.com/en/abs/mathieu-zhao-spaces-of-polynomial-rings-1907.06106</loc><lastmod>2019-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mathieu-zhao-spaces-of-polynomial-rings-1907.06106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mathieu-zhao-spaces-of-polynomial-rings-1907.06106"/></url>
<url><loc>https://scifaro.com/en/abs/an-introduction-to-mathieu-subspaces-1907.06107</loc><lastmod>2019-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-introduction-to-mathieu-subspaces-1907.06107"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-introduction-to-mathieu-subspaces-1907.06107"/></url>
<url><loc>https://scifaro.com/en/abs/integrality-over-ideal-semifiltrations-1907.06125</loc><lastmod>2019-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrality-over-ideal-semifiltrations-1907.06125"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrality-over-ideal-semifiltrations-1907.06125"/></url>
<url><loc>https://scifaro.com/en/abs/depth-functions-of-symbolic-powers-of-homogeneous-ideals-1907.06468</loc><lastmod>2021-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-functions-of-symbolic-powers-of-homogeneous-ideals-1907.06468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-functions-of-symbolic-powers-of-homogeneous-ideals-1907.06468"/></url>
<url><loc>https://scifaro.com/en/abs/almost-normally-torsionfree-ideals-1907.06532</loc><lastmod>2019-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-normally-torsionfree-ideals-1907.06532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-normally-torsionfree-ideals-1907.06532"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-analytic-spread-upper-bounds-and-applications-1907.07081</loc><lastmod>2023-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-analytic-spread-upper-bounds-and-applications-1907.07081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-analytic-spread-upper-bounds-and-applications-1907.07081"/></url>
<url><loc>https://scifaro.com/en/abs/graded-cohen-macaulay-domains-and-lattice-polytopes-with-short-h-vector-1907.07214</loc><lastmod>2020-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-cohen-macaulay-domains-and-lattice-polytopes-with-short-h-vector-1907.07214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-cohen-macaulay-domains-and-lattice-polytopes-with-short-h-vector-1907.07214"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-theory-for-arbitrary-ideals-in-positive-characteristic-1907.07297</loc><lastmod>2019-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-theory-for-arbitrary-ideals-in-positive-characteristic-1907.07297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-theory-for-arbitrary-ideals-in-positive-characteristic-1907.07297"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-radius-of-the-category-of-extensions-of-matrix-factorizations-1907.07473</loc><lastmod>2019-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-radius-of-the-category-of-extensions-of-matrix-factorizations-1907.07473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-radius-of-the-category-of-extensions-of-matrix-factorizations-1907.07473"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-and-free-resolutions-of-the-symbolic-powers-of-star-configurations-of-hypersurfaces-1907.08172</loc><lastmod>2020-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-and-free-resolutions-of-the-symbolic-powers-of-star-configurations-of-hypersurfaces-1907.08172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-and-free-resolutions-of-the-symbolic-powers-of-star-configurations-of-hypersurfaces-1907.08172"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-lech-s-inequality-1907.08344</loc><lastmod>2020-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-lech-s-inequality-1907.08344"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-lech-s-inequality-1907.08344"/></url>
<url><loc>https://scifaro.com/en/abs/primality-of-multiply-connected-polyominoes-1907.08438</loc><lastmod>2020-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primality-of-multiply-connected-polyominoes-1907.08438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primality-of-multiply-connected-polyominoes-1907.08438"/></url>
<url><loc>https://scifaro.com/en/abs/integrality-of-matrices-finiteness-of-matrix-semigroups-and-dynamics-of-linear-and-additive-cellular-automata-1907.08565</loc><lastmod>2020-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrality-of-matrices-finiteness-of-matrix-semigroups-and-dynamics-of-linear-and-additive-cellular-automata-1907.08565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrality-of-matrices-finiteness-of-matrix-semigroups-and-dynamics-of-linear-and-additive-cellular-automata-1907.08565"/></url>
<url><loc>https://scifaro.com/en/abs/versal-deformations-of-pairs-and-cohen-macaulay-approximation-1907.08970</loc><lastmod>2021-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/versal-deformations-of-pairs-and-cohen-macaulay-approximation-1907.08970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/versal-deformations-of-pairs-and-cohen-macaulay-approximation-1907.08970"/></url>
<url><loc>https://scifaro.com/en/abs/betti-tables-of-monomial-ideals-fixed-by-permutations-of-the-variables-1907.09727</loc><lastmod>2019-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-tables-of-monomial-ideals-fixed-by-permutations-of-the-variables-1907.09727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-tables-of-monomial-ideals-fixed-by-permutations-of-the-variables-1907.09727"/></url>
<url><loc>https://scifaro.com/en/abs/approximation-results-of-artin-tougeron-type-for-general-filtrations-and-for-c-r-equations-1907.09736</loc><lastmod>2020-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/approximation-results-of-artin-tougeron-type-for-general-filtrations-and-for-c-r-equations-1907.09736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/approximation-results-of-artin-tougeron-type-for-general-filtrations-and-for-c-r-equations-1907.09736"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-theory-in-commutative-monoids-1907.09869</loc><lastmod>2019-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-theory-in-commutative-monoids-1907.09869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-theory-in-commutative-monoids-1907.09869"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-d-modules-in-mixed-characteristic-1907.09948</loc><lastmod>2021-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-d-modules-in-mixed-characteristic-1907.09948"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-d-modules-in-mixed-characteristic-1907.09948"/></url>
<url><loc>https://scifaro.com/en/abs/surjectivity-of-the-completion-map-for-rings-of-c-infty-functions-whitney-extension-theorem-for-general-filtrations-1907.10053</loc><lastmod>2020-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/surjectivity-of-the-completion-map-for-rings-of-c-infty-functions-whitney-extension-theorem-for-general-filtrations-1907.10053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/surjectivity-of-the-completion-map-for-rings-of-c-infty-functions-whitney-extension-theorem-for-general-filtrations-1907.10053"/></url>
<url><loc>https://scifaro.com/en/abs/the-norm-of-the-saturation-of-a-binomial-ideal-and-applications-to-markov-bases-1907.10268</loc><lastmod>2020-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-norm-of-the-saturation-of-a-binomial-ideal-and-applications-to-markov-bases-1907.10268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-norm-of-the-saturation-of-a-binomial-ideal-and-applications-to-markov-bases-1907.10268"/></url>
<url><loc>https://scifaro.com/en/abs/the-projection-problem-in-commutative-positively-ordered-monoids-1907.10400</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-projection-problem-in-commutative-positively-ordered-monoids-1907.10400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-projection-problem-in-commutative-positively-ordered-monoids-1907.10400"/></url>
<url><loc>https://scifaro.com/en/abs/associated-primes-and-integral-closure-of-noetherian-rings-1907.10754</loc><lastmod>2021-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-primes-and-integral-closure-of-noetherian-rings-1907.10754"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-primes-and-integral-closure-of-noetherian-rings-1907.10754"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-on-the-first-homology-of-spline-complexes-1907.10811</loc><lastmod>2020-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-on-the-first-homology-of-spline-complexes-1907.10811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-on-the-first-homology-of-spline-complexes-1907.10811"/></url>
<url><loc>https://scifaro.com/en/abs/telescope-conjecture-for-homotopically-smashing-t-structures-over-commutative-noetherian-rings-1907.11030</loc><lastmod>2020-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/telescope-conjecture-for-homotopically-smashing-t-structures-over-commutative-noetherian-rings-1907.11030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/telescope-conjecture-for-homotopically-smashing-t-structures-over-commutative-noetherian-rings-1907.11030"/></url>
<url><loc>https://scifaro.com/en/abs/relative-generalized-minimum-distance-functions-1907.11324</loc><lastmod>2021-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-generalized-minimum-distance-functions-1907.11324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-generalized-minimum-distance-functions-1907.11324"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-related-invariants-1907.11427</loc><lastmod>2019-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-related-invariants-1907.11427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-related-invariants-1907.11427"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-local-rings-with-e-1-e-2-1907.11502</loc><lastmod>2019-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-local-rings-with-e-1-e-2-1907.11502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-local-rings-with-e-1-e-2-1907.11502"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-roots-for-monomial-ideals-in-positive-characteristic-1907.11709</loc><lastmod>2019-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-roots-for-monomial-ideals-in-positive-characteristic-1907.11709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-roots-for-monomial-ideals-in-positive-characteristic-1907.11709"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-monomial-ideals-with-maximal-depth-1907.11960</loc><lastmod>2019-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-with-maximal-depth-1907.11960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-monomial-ideals-with-maximal-depth-1907.11960"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-gorensetein-n-d-flat-and-gorensetein-n-d-injective-modules-1907.12599</loc><lastmod>2019-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gorensetein-n-d-flat-and-gorensetein-n-d-injective-modules-1907.12599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gorensetein-n-d-flat-and-gorensetein-n-d-injective-modules-1907.12599"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-polynomial-systems-involving-stirling-numbers-of-second-kind-1907.12657</loc><lastmod>2019-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-polynomial-systems-involving-stirling-numbers-of-second-kind-1907.12657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-polynomial-systems-involving-stirling-numbers-of-second-kind-1907.12657"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-an-initial-ideal-1907.12710</loc><lastmod>2019-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-an-initial-ideal-1907.12710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-an-initial-ideal-1907.12710"/></url>
<url><loc>https://scifaro.com/en/abs/the-local-cohomology-of-a-parameter-ideal-with-respect-to-an-arbitrary-ideal-1907.12873</loc><lastmod>2020-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-local-cohomology-of-a-parameter-ideal-with-respect-to-an-arbitrary-ideal-1907.12873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-local-cohomology-of-a-parameter-ideal-with-respect-to-an-arbitrary-ideal-1907.12873"/></url>
<url><loc>https://scifaro.com/en/abs/evaluation-codes-and-their-basic-parameters-1907.13217</loc><lastmod>2020-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/evaluation-codes-and-their-basic-parameters-1907.13217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/evaluation-codes-and-their-basic-parameters-1907.13217"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rigidity-of-certain-pham-brieskorn-rings-1907.13259</loc><lastmod>2019-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rigidity-of-certain-pham-brieskorn-rings-1907.13259"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rigidity-of-certain-pham-brieskorn-rings-1907.13259"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-liaison-and-the-sequentially-bounded-licci-property-1908.00676</loc><lastmod>2019-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-liaison-and-the-sequentially-bounded-licci-property-1908.00676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-liaison-and-the-sequentially-bounded-licci-property-1908.00676"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-of-the-multiplicity-of-abelian-quotient-complete-intersection-singularities-1908.01218</loc><lastmod>2019-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-of-the-multiplicity-of-abelian-quotient-complete-intersection-singularities-1908.01218"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-of-the-multiplicity-of-abelian-quotient-complete-intersection-singularities-1908.01218"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-k-torsion-of-the-module-of-differentials-of-order-n-of-hypersurfaces-1908.01749</loc><lastmod>2020-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-k-torsion-of-the-module-of-differentials-of-order-n-of-hypersurfaces-1908.01749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-k-torsion-of-the-module-of-differentials-of-order-n-of-hypersurfaces-1908.01749"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1908.02085</loc><lastmod>2019-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1908.02085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-monomial-ideals-1908.02085"/></url>
<url><loc>https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-via-virtual-projective-resolutions-1908.02086</loc><lastmod>2019-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-via-virtual-projective-resolutions-1908.02086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/implicitization-of-tensor-product-surfaces-via-virtual-projective-resolutions-1908.02086"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-shifts-of-matroidal-ideals-1908.02109</loc><lastmod>2019-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-shifts-of-matroidal-ideals-1908.02109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-shifts-of-matroidal-ideals-1908.02109"/></url>
<url><loc>https://scifaro.com/en/abs/on-an-example-concerning-the-second-rigidity-theorem-1908.02167</loc><lastmod>2019-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-an-example-concerning-the-second-rigidity-theorem-1908.02167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-an-example-concerning-the-second-rigidity-theorem-1908.02167"/></url>
<url><loc>https://scifaro.com/en/abs/green-lazarsfeld-condition-for-toric-edge-ideals-of-bipartite-graphs-1908.02744</loc><lastmod>2019-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/green-lazarsfeld-condition-for-toric-edge-ideals-of-bipartite-graphs-1908.02744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/green-lazarsfeld-condition-for-toric-edge-ideals-of-bipartite-graphs-1908.02744"/></url>
<url><loc>https://scifaro.com/en/abs/subgroups-of-an-abelian-group-related-ideals-of-the-group-ring-and-quotients-by-those-ideals-1908.02968</loc><lastmod>2019-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subgroups-of-an-abelian-group-related-ideals-of-the-group-ring-and-quotients-by-those-ideals-1908.02968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subgroups-of-an-abelian-group-related-ideals-of-the-group-ring-and-quotients-by-those-ideals-1908.02968"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-edge-ideals-via-suspension-1908.03115</loc><lastmod>2019-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-edge-ideals-via-suspension-1908.03115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-edge-ideals-via-suspension-1908.03115"/></url>
<url><loc>https://scifaro.com/en/abs/on-double-danielewski-surfaces-and-the-cancellation-problem-1908.03403</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-double-danielewski-surfaces-and-the-cancellation-problem-1908.03403"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-double-danielewski-surfaces-and-the-cancellation-problem-1908.03403"/></url>
<url><loc>https://scifaro.com/en/abs/on-residual-and-stable-coordinates-1908.03549</loc><lastmod>2019-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-residual-and-stable-coordinates-1908.03549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-residual-and-stable-coordinates-1908.03549"/></url>
<url><loc>https://scifaro.com/en/abs/symmetry-unimodality-and-lefschetz-properties-for-graded-modules-1908.03648</loc><lastmod>2024-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetry-unimodality-and-lefschetz-properties-for-graded-modules-1908.03648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetry-unimodality-and-lefschetz-properties-for-graded-modules-1908.03648"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-monomial-reduction-number-of-a-monomial-ideal-in-k-x-y-1908.03765</loc><lastmod>2019-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-monomial-reduction-number-of-a-monomial-ideal-in-k-x-y-1908.03765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-monomial-reduction-number-of-a-monomial-ideal-in-k-x-y-1908.03765"/></url>
<url><loc>https://scifaro.com/en/abs/the-edge-ideal-of-a-graph-and-its-splitting-graphs-1908.03769</loc><lastmod>2019-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-edge-ideal-of-a-graph-and-its-splitting-graphs-1908.03769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-edge-ideal-of-a-graph-and-its-splitting-graphs-1908.03769"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-partial-coordinate-system-in-a-polynomial-ring-1908.04012</loc><lastmod>2019-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-partial-coordinate-system-in-a-polynomial-ring-1908.04012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-partial-coordinate-system-in-a-polynomial-ring-1908.04012"/></url>
<url><loc>https://scifaro.com/en/abs/the-automorphism-group-of-the-zero-divisor-digraph-of-matrices-over-an-antiring-1908.04614</loc><lastmod>2019-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-automorphism-group-of-the-zero-divisor-digraph-of-matrices-over-an-antiring-1908.04614"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-automorphism-group-of-the-zero-divisor-digraph-of-matrices-over-an-antiring-1908.04614"/></url>
<url><loc>https://scifaro.com/en/abs/edge-rings-of-bipartite-graphs-with-linear-resolutions-1908.05678</loc><lastmod>2022-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-rings-of-bipartite-graphs-with-linear-resolutions-1908.05678"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-rings-of-bipartite-graphs-with-linear-resolutions-1908.05678"/></url>
<url><loc>https://scifaro.com/en/abs/elasticity-in-apery-sets-1908.06448</loc><lastmod>2019-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elasticity-in-apery-sets-1908.06448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elasticity-in-apery-sets-1908.06448"/></url>
<url><loc>https://scifaro.com/en/abs/some-generalizations-of-strongly-prime-ideals-1908.06744</loc><lastmod>2019-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-generalizations-of-strongly-prime-ideals-1908.06744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-generalizations-of-strongly-prime-ideals-1908.06744"/></url>
<url><loc>https://scifaro.com/en/abs/sortable-simplicial-complexes-and-t-independence-ideals-of-proper-interval-graphs-1908.07179</loc><lastmod>2019-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sortable-simplicial-complexes-and-t-independence-ideals-of-proper-interval-graphs-1908.07179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sortable-simplicial-complexes-and-t-independence-ideals-of-proper-interval-graphs-1908.07179"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-of-cohen-macaulayness-of-the-form-module-1908.07317</loc><lastmod>2019-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-of-cohen-macaulayness-of-the-form-module-1908.07317"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-of-cohen-macaulayness-of-the-form-module-1908.07317"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-puiseux-monoid-atomic-1908.09227</loc><lastmod>2020-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-puiseux-monoid-atomic-1908.09227"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-puiseux-monoid-atomic-1908.09227"/></url>
<url><loc>https://scifaro.com/en/abs/modules-over-posets-commutative-and-homological-algebra-1908.09750</loc><lastmod>2020-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-over-posets-commutative-and-homological-algebra-1908.09750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-over-posets-commutative-and-homological-algebra-1908.09750"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-monomial-ideals-and-the-ratliff-rush-operation-1908.10185</loc><lastmod>2019-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-and-the-ratliff-rush-operation-1908.10185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-and-the-ratliff-rush-operation-1908.10185"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-regularity-of-product-of-edge-ideals-1908.10573</loc><lastmod>2022-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-product-of-edge-ideals-1908.10573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-regularity-of-product-of-edge-ideals-1908.10573"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-vertex-cover-ideals-1908.10576</loc><lastmod>2019-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-vertex-cover-ideals-1908.10576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-vertex-cover-ideals-1908.10576"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-arbitrarily-high-tiny-powers-in-any-number-of-variables-1908.10702</loc><lastmod>2019-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-arbitrarily-high-tiny-powers-in-any-number-of-variables-1908.10702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-arbitrarily-high-tiny-powers-in-any-number-of-variables-1908.10702"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-small-symbolic-powers-of-edge-ideals-of-graphs-1908.10845</loc><lastmod>2019-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-small-symbolic-powers-of-edge-ideals-of-graphs-1908.10845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-small-symbolic-powers-of-edge-ideals-of-graphs-1908.10845"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-homology-of-quotients-by-edge-ideals-1908.10848</loc><lastmod>2019-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-homology-of-quotients-by-edge-ideals-1908.10848"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-homology-of-quotients-by-edge-ideals-1908.10848"/></url>
<url><loc>https://scifaro.com/en/abs/the-formula-for-the-largest-minimal-distance-of-binary-lcd-n-2-codes-1909.00253</loc><lastmod>2019-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-formula-for-the-largest-minimal-distance-of-binary-lcd-n-2-codes-1909.00253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-formula-for-the-largest-minimal-distance-of-binary-lcd-n-2-codes-1909.00253"/></url>
<url><loc>https://scifaro.com/en/abs/derivation-modules-for-sum-and-gluing-1909.01611</loc><lastmod>2020-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derivation-modules-for-sum-and-gluing-1909.01611"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derivation-modules-for-sum-and-gluing-1909.01611"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-of-function-classes-via-order-complexes-1909.02159</loc><lastmod>2020-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-of-function-classes-via-order-complexes-1909.02159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-of-function-classes-via-order-complexes-1909.02159"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-strong-product-of-some-graphs-1909.02610</loc><lastmod>2019-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-strong-product-of-some-graphs-1909.02610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-the-edge-ideals-of-the-strong-product-of-some-graphs-1909.02610"/></url>
<url><loc>https://scifaro.com/en/abs/joins-ears-and-castelnuovo-mumford-regularity-1909.02773</loc><lastmod>2019-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/joins-ears-and-castelnuovo-mumford-regularity-1909.02773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/joins-ears-and-castelnuovo-mumford-regularity-1909.02773"/></url>
<url><loc>https://scifaro.com/en/abs/une-construction-d-extensions-faiblement-non-ramifi-ees-d-un-anneau-de-valuation-1909.02917</loc><lastmod>2022-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/une-construction-d-extensions-faiblement-non-ramifi-ees-d-un-anneau-de-valuation-1909.02917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/une-construction-d-extensions-faiblement-non-ramifi-ees-d-un-anneau-de-valuation-1909.02917"/></url>
<url><loc>https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-i-n-1909.03869</loc><lastmod>2019-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-i-n-1909.03869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-i-n-1909.03869"/></url>
<url><loc>https://scifaro.com/en/abs/on-parametrized-families-of-numerical-semigroups-1909.04281</loc><lastmod>2020-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-parametrized-families-of-numerical-semigroups-1909.04281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-parametrized-families-of-numerical-semigroups-1909.04281"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-s-n-invariant-monomial-ideals-1909.04650</loc><lastmod>2019-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-s-n-invariant-monomial-ideals-1909.04650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-s-n-invariant-monomial-ideals-1909.04650"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-multiplicity-and-regularity-index-of-toric-curves-1909.05431</loc><lastmod>2022-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-multiplicity-and-regularity-index-of-toric-curves-1909.05431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-multiplicity-and-regularity-index-of-toric-curves-1909.05431"/></url>
<url><loc>https://scifaro.com/en/abs/closure-interior-duality-over-complete-local-rings-1909.05739</loc><lastmod>2021-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closure-interior-duality-over-complete-local-rings-1909.05739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closure-interior-duality-over-complete-local-rings-1909.05739"/></url>
<url><loc>https://scifaro.com/en/abs/on-multivariate-polynomials-with-many-roots-over-a-finite-grid-1909.06613</loc><lastmod>2019-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-multivariate-polynomials-with-many-roots-over-a-finite-grid-1909.06613"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-multivariate-polynomials-with-many-roots-over-a-finite-grid-1909.06613"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-elements-in-normal-simplicial-affine-semigroups-1909.06846</loc><lastmod>2021-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-elements-in-normal-simplicial-affine-semigroups-1909.06846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-elements-in-normal-simplicial-affine-semigroups-1909.06846"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-permanence-properties-of-derived-splinters-1909.06891</loc><lastmod>2021-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-permanence-properties-of-derived-splinters-1909.06891"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-permanence-properties-of-derived-splinters-1909.06891"/></url>
<url><loc>https://scifaro.com/en/abs/the-socle-module-of-a-monomial-ideal-1909.06958</loc><lastmod>2019-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-socle-module-of-a-monomial-ideal-1909.06958"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-socle-module-of-a-monomial-ideal-1909.06958"/></url>
<url><loc>https://scifaro.com/en/abs/a-uniform-proof-of-the-finiteness-of-the-class-group-of-a-global-field-1909.07121</loc><lastmod>2020-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-uniform-proof-of-the-finiteness-of-the-class-group-of-a-global-field-1909.07121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-uniform-proof-of-the-finiteness-of-the-class-group-of-a-global-field-1909.07121"/></url>
<url><loc>https://scifaro.com/en/abs/on-quasi-equigenerated-and-freiman-cover-ideals-of-graphs-1909.07175</loc><lastmod>2019-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-quasi-equigenerated-and-freiman-cover-ideals-of-graphs-1909.07175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-quasi-equigenerated-and-freiman-cover-ideals-of-graphs-1909.07175"/></url>
<url><loc>https://scifaro.com/en/abs/noetherian-operators-primary-submodules-and-symbolic-powers-1909.07253</loc><lastmod>2020-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherian-operators-primary-submodules-and-symbolic-powers-1909.07253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherian-operators-primary-submodules-and-symbolic-powers-1909.07253"/></url>
<url><loc>https://scifaro.com/en/abs/dynamical-systems-on-chain-complexes-and-canonical-minimal-resolutions-1909.08577</loc><lastmod>2019-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dynamical-systems-on-chain-complexes-and-canonical-minimal-resolutions-1909.08577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dynamical-systems-on-chain-complexes-and-canonical-minimal-resolutions-1909.08577"/></url>
<url><loc>https://scifaro.com/en/abs/faithfulness-of-top-local-cohomology-modules-in-domains-1909.08770</loc><lastmod>2020-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faithfulness-of-top-local-cohomology-modules-in-domains-1909.08770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faithfulness-of-top-local-cohomology-modules-in-domains-1909.08770"/></url>
<url><loc>https://scifaro.com/en/abs/bivariate-kolchin-type-dimension-polynomials-of-non-reflexive-prime-difference-differential-ideals-the-case-of-one-translation-1909.08957</loc><lastmod>2019-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bivariate-kolchin-type-dimension-polynomials-of-non-reflexive-prime-difference-differential-ideals-the-case-of-one-translation-1909.08957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bivariate-kolchin-type-dimension-polynomials-of-non-reflexive-prime-difference-differential-ideals-the-case-of-one-translation-1909.08957"/></url>
<url><loc>https://scifaro.com/en/abs/bi-graded-koszul-modules-k3-carpets-and-green-s-conjecture-1909.09122</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-graded-koszul-modules-k3-carpets-and-green-s-conjecture-1909.09122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-graded-koszul-modules-k3-carpets-and-green-s-conjecture-1909.09122"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-of-certain-general-local-cohomology-modules-1909.10186</loc><lastmod>2019-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-of-certain-general-local-cohomology-modules-1909.10186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-of-certain-general-local-cohomology-modules-1909.10186"/></url>
<url><loc>https://scifaro.com/en/abs/inversion-of-adjunction-for-f-signature-1909.10436</loc><lastmod>2020-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inversion-of-adjunction-for-f-signature-1909.10436"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inversion-of-adjunction-for-f-signature-1909.10436"/></url>
<url><loc>https://scifaro.com/en/abs/sortable-freiman-ideals-1909.10659</loc><lastmod>2019-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sortable-freiman-ideals-1909.10659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sortable-freiman-ideals-1909.10659"/></url>
<url><loc>https://scifaro.com/en/abs/the-saturation-number-of-cb-bounded-stable-monomial-ideals-and-their-powers-1909.10663</loc><lastmod>2023-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-saturation-number-of-cb-bounded-stable-monomial-ideals-and-their-powers-1909.10663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-saturation-number-of-cb-bounded-stable-monomial-ideals-and-their-powers-1909.10663"/></url>
<url><loc>https://scifaro.com/en/abs/saturations-of-subalgebras-sagbi-bases-and-u-invariants-1909.10901</loc><lastmod>2020-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/saturations-of-subalgebras-sagbi-bases-and-u-invariants-1909.10901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/saturations-of-subalgebras-sagbi-bases-and-u-invariants-1909.10901"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-bounds-and-test-ideals-1909.11231</loc><lastmod>2021-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-bounds-and-test-ideals-1909.11231"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-bounds-and-test-ideals-1909.11231"/></url>
<url><loc>https://scifaro.com/en/abs/matchings-and-squarefree-powers-of-edge-ideals-1909.11420</loc><lastmod>2019-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matchings-and-squarefree-powers-of-edge-ideals-1909.11420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matchings-and-squarefree-powers-of-edge-ideals-1909.11420"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-polynomials-and-the-einstein-s-strength-of-some-systems-of-quasi-linear-algebraic-difference-equations-1909.11596</loc><lastmod>2019-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-polynomials-and-the-einstein-s-strength-of-some-systems-of-quasi-linear-algebraic-difference-equations-1909.11596"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-polynomials-and-the-einstein-s-strength-of-some-systems-of-quasi-linear-algebraic-difference-equations-1909.11596"/></url>
<url><loc>https://scifaro.com/en/abs/pushouts-of-affine-algebraic-sets-1909.11636</loc><lastmod>2021-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pushouts-of-affine-algebraic-sets-1909.11636"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pushouts-of-affine-algebraic-sets-1909.11636"/></url>
<url><loc>https://scifaro.com/en/abs/a-local-global-principle-for-surjective-polynomial-maps-1909.11690</loc><lastmod>2019-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-local-global-principle-for-surjective-polynomial-maps-1909.11690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-local-global-principle-for-surjective-polynomial-maps-1909.11690"/></url>
<url><loc>https://scifaro.com/en/abs/relations-between-the-2x2-minors-of-a-generic-matrix-1909.11705</loc><lastmod>2021-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relations-between-the-2x2-minors-of-a-generic-matrix-1909.11705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relations-between-the-2x2-minors-of-a-generic-matrix-1909.11705"/></url>
<url><loc>https://scifaro.com/en/abs/finite-generation-of-andre-quillen-co-homology-of-f-finite-algebras-1909.12652</loc><lastmod>2021-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-generation-of-andre-quillen-co-homology-of-f-finite-algebras-1909.12652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-generation-of-andre-quillen-co-homology-of-f-finite-algebras-1909.12652"/></url>
<url><loc>https://scifaro.com/en/abs/splittings-of-toric-ideals-1909.12820</loc><lastmod>2021-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splittings-of-toric-ideals-1909.12820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splittings-of-toric-ideals-1909.12820"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-hilbert-series-for-hierarchical-models-1909.13026</loc><lastmod>2021-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-hilbert-series-for-hierarchical-models-1909.13026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-hilbert-series-for-hierarchical-models-1909.13026"/></url>
<url><loc>https://scifaro.com/en/abs/the-normal-reduction-number-of-two-dimensional-cone-like-singularities-1909.13190</loc><lastmod>2025-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-normal-reduction-number-of-two-dimensional-cone-like-singularities-1909.13190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-normal-reduction-number-of-two-dimensional-cone-like-singularities-1909.13190"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-and-cohen-macaulay-weighted-oriented-k-onig-graphs-1909.13295</loc><lastmod>2019-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-and-cohen-macaulay-weighted-oriented-k-onig-graphs-1909.13295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-and-cohen-macaulay-weighted-oriented-k-onig-graphs-1909.13295"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-bound-for-smooth-spline-spaces-1909.13399</loc><lastmod>2020-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-bound-for-smooth-spline-spaces-1909.13399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-bound-for-smooth-spline-spaces-1909.13399"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-three-gorenstein-ideals-1909.13633</loc><lastmod>2020-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-three-gorenstein-ideals-1909.13633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-of-the-saturated-special-fiber-ring-of-height-three-gorenstein-ideals-1909.13633"/></url>
<url><loc>https://scifaro.com/en/abs/the-loewy-series-of-an-fcp-distributive-ring-extension-1909.13729</loc><lastmod>2019-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-loewy-series-of-an-fcp-distributive-ring-extension-1909.13729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-loewy-series-of-an-fcp-distributive-ring-extension-1909.13729"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-functions-on-rings-of-dual-numbers-over-residue-class-rings-of-the-integers-1910.00238</loc><lastmod>2021-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-functions-on-rings-of-dual-numbers-over-residue-class-rings-of-the-integers-1910.00238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-functions-on-rings-of-dual-numbers-over-residue-class-rings-of-the-integers-1910.00238"/></url>
<url><loc>https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-conics-1910.00479</loc><lastmod>2020-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-conics-1910.00479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-conics-1910.00479"/></url>
<url><loc>https://scifaro.com/en/abs/a-structure-result-for-gorenstein-algebras-of-odd-codimension-1910.00516</loc><lastmod>2019-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-structure-result-for-gorenstein-algebras-of-odd-codimension-1910.00516"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-structure-result-for-gorenstein-algebras-of-odd-codimension-1910.00516"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-of-hypergraphs-1910.01053</loc><lastmod>2021-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-of-hypergraphs-1910.01053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-of-hypergraphs-1910.01053"/></url>
<url><loc>https://scifaro.com/en/abs/noetherian-rings-of-low-global-dimension-and-syzygetic-prime-ideals-1910.01550</loc><lastmod>2019-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherian-rings-of-low-global-dimension-and-syzygetic-prime-ideals-1910.01550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherian-rings-of-low-global-dimension-and-syzygetic-prime-ideals-1910.01550"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-koszul-algebras-defined-by-four-quadrics-1910.01674</loc><lastmod>2020-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-koszul-algebras-defined-by-four-quadrics-1910.01674"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-koszul-algebras-defined-by-four-quadrics-1910.01674"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-quadratic-sequences-with-applications-to-binomial-ideals-1910.01817</loc><lastmod>2020-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-quadratic-sequences-with-applications-to-binomial-ideals-1910.01817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-quadratic-sequences-with-applications-to-binomial-ideals-1910.01817"/></url>
<url><loc>https://scifaro.com/en/abs/idempotent-factorizations-of-singular-2-times-2-matrices-over-quadratic-integer-rings-1910.01893</loc><lastmod>2023-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/idempotent-factorizations-of-singular-2-times-2-matrices-over-quadratic-integer-rings-1910.01893"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/idempotent-factorizations-of-singular-2-times-2-matrices-over-quadratic-integer-rings-1910.01893"/></url>
<url><loc>https://scifaro.com/en/abs/resolution-of-ideals-associated-to-subspace-arrangements-1910.01955</loc><lastmod>2022-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolution-of-ideals-associated-to-subspace-arrangements-1910.01955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolution-of-ideals-associated-to-subspace-arrangements-1910.01955"/></url>
<url><loc>https://scifaro.com/en/abs/idempotence-of-finitely-generated-commutative-semifields-1910.02457</loc><lastmod>2019-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/idempotence-of-finitely-generated-commutative-semifields-1910.02457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/idempotence-of-finitely-generated-commutative-semifields-1910.02457"/></url>
<url><loc>https://scifaro.com/en/abs/modular-invariants-of-finite-gluing-groups-1910.02659</loc><lastmod>2019-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-invariants-of-finite-gluing-groups-1910.02659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-invariants-of-finite-gluing-groups-1910.02659"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-for-staged-trees-1910.02721</loc><lastmod>2021-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-for-staged-trees-1910.02721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-for-staged-trees-1910.02721"/></url>
<url><loc>https://scifaro.com/en/abs/licci-binomial-edge-ideals-1910.03612</loc><lastmod>2019-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/licci-binomial-edge-ideals-1910.03612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/licci-binomial-edge-ideals-1910.03612"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-36-1910.03859</loc><lastmod>2020-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-36-1910.03859"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-modules-over-the-plane-curve-singularity-of-type-t-36-1910.03859"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-invariants-applied-to-graph-coloring-1910.04896</loc><lastmod>2019-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-invariants-applied-to-graph-coloring-1910.04896"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-invariants-applied-to-graph-coloring-1910.04896"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-automorphism-group-of-a-polynomial-differential-ring-in-two-variables-1910.05278</loc><lastmod>2019-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-automorphism-group-of-a-polynomial-differential-ring-in-two-variables-1910.05278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-automorphism-group-of-a-polynomial-differential-ring-in-two-variables-1910.05278"/></url>
<url><loc>https://scifaro.com/en/abs/relative-coherent-modules-1910.05550</loc><lastmod>2020-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-coherent-modules-1910.05550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-coherent-modules-1910.05550"/></url>
<url><loc>https://scifaro.com/en/abs/some-genericity-results-over-noetherian-rings-1910.05731</loc><lastmod>2019-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-genericity-results-over-noetherian-rings-1910.05731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-genericity-results-over-noetherian-rings-1910.05731"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-n-x-injective-and-n-x-flat-modules-with-respect-to-a-special-finitely-presented-module-1910.06754</loc><lastmod>2021-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-n-x-injective-and-n-x-flat-modules-with-respect-to-a-special-finitely-presented-module-1910.06754"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-n-x-injective-and-n-x-flat-modules-with-respect-to-a-special-finitely-presented-module-1910.06754"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-generalized-block-graphs-1910.06787</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-generalized-block-graphs-1910.06787"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-generalized-block-graphs-1910.06787"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-the-frobenius-powers-of-the-maximal-ideal-over-a-general-hypersurface-1910.07565</loc><lastmod>2023-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-the-frobenius-powers-of-the-maximal-ideal-over-a-general-hypersurface-1910.07565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-the-frobenius-powers-of-the-maximal-ideal-over-a-general-hypersurface-1910.07565"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-multiplicative-lattices-1910.08198</loc><lastmod>2019-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-multiplicative-lattices-1910.08198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-multiplicative-lattices-1910.08198"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-of-gauge-bounded-cartier-algebras-1910.08478</loc><lastmod>2020-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-of-gauge-bounded-cartier-algebras-1910.08478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-of-gauge-bounded-cartier-algebras-1910.08478"/></url>
<url><loc>https://scifaro.com/en/abs/a-characteristic-free-approach-to-secant-varieties-of-triple-segre-products-1910.08733</loc><lastmod>2021-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characteristic-free-approach-to-secant-varieties-of-triple-segre-products-1910.08733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characteristic-free-approach-to-secant-varieties-of-triple-segre-products-1910.08733"/></url>
<url><loc>https://scifaro.com/en/abs/n-e-ron-desingularization-of-extensions-of-valuation-rings-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1910.09123</loc><lastmod>2020-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-e-ron-desingularization-of-extensions-of-valuation-rings-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1910.09123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-e-ron-desingularization-of-extensions-of-valuation-rings-with-an-appendix-by-k-k-e-stutis-v-c-esnavi-v-c-ius-1910.09123"/></url>
<url><loc>https://scifaro.com/en/abs/computing-subschemes-of-the-border-basis-scheme-1910.09426</loc><lastmod>2020-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-subschemes-of-the-border-basis-scheme-1910.09426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-subschemes-of-the-border-basis-scheme-1910.09426"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-and-maximal-spectra-as-the-stone-v-c-ech-compactification-1910.09884</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-and-maximal-spectra-as-the-stone-v-c-ech-compactification-1910.09884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-and-maximal-spectra-as-the-stone-v-c-ech-compactification-1910.09884"/></url>
<url><loc>https://scifaro.com/en/abs/on-strongly-primary-monoids-with-a-focus-on-puiseux-monoids-1910.10270</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strongly-primary-monoids-with-a-focus-on-puiseux-monoids-1910.10270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strongly-primary-monoids-with-a-focus-on-puiseux-monoids-1910.10270"/></url>
<url><loc>https://scifaro.com/en/abs/non-absolutely-irreducible-elements-in-the-ring-of-integer-valued-polynomials-1910.10278</loc><lastmod>2020-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-absolutely-irreducible-elements-in-the-ring-of-integer-valued-polynomials-1910.10278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-absolutely-irreducible-elements-in-the-ring-of-integer-valued-polynomials-1910.10278"/></url>
<url><loc>https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-on-mixed-characteristic-toric-schemes-1910.10297</loc><lastmod>2019-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-on-mixed-characteristic-toric-schemes-1910.10297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-on-mixed-characteristic-toric-schemes-1910.10297"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-retracts-of-polynomial-rings-1910.11023</loc><lastmod>2020-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-retracts-of-polynomial-rings-1910.11023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-retracts-of-polynomial-rings-1910.11023"/></url>
<url><loc>https://scifaro.com/en/abs/isolated-singularities-with-large-class-group-1910.11586</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isolated-singularities-with-large-class-group-1910.11586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isolated-singularities-with-large-class-group-1910.11586"/></url>
<url><loc>https://scifaro.com/en/abs/unitization-of-a-lattice-ordered-ring-with-a-truncation-1910.11708</loc><lastmod>2019-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unitization-of-a-lattice-ordered-ring-with-a-truncation-1910.11708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unitization-of-a-lattice-ordered-ring-with-a-truncation-1910.11708"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-invariants-of-weighted-oriented-graphs-1910.11773</loc><lastmod>2022-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-invariants-of-weighted-oriented-graphs-1910.11773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-invariants-of-weighted-oriented-graphs-1910.11773"/></url>
<url><loc>https://scifaro.com/en/abs/ring-theoretic-approaches-to-point-set-topology-1910.12228</loc><lastmod>2020-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-theoretic-approaches-to-point-set-topology-1910.12228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-theoretic-approaches-to-point-set-topology-1910.12228"/></url>
<url><loc>https://scifaro.com/en/abs/gr-o-bner-bases-and-syzygy-theorem-for-direct-product-of-principal-ideal-rings-1910.12280</loc><lastmod>2020-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-o-bner-bases-and-syzygy-theorem-for-direct-product-of-principal-ideal-rings-1910.12280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-o-bner-bases-and-syzygy-theorem-for-direct-product-of-principal-ideal-rings-1910.12280"/></url>
<url><loc>https://scifaro.com/en/abs/base-change-along-the-frobenius-endomorphism-and-the-gorenstein-property-1910.12315</loc><lastmod>2020-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/base-change-along-the-frobenius-endomorphism-and-the-gorenstein-property-1910.12315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/base-change-along-the-frobenius-endomorphism-and-the-gorenstein-property-1910.12315"/></url>
<url><loc>https://scifaro.com/en/abs/tropical-planar-networks-1910.12934</loc><lastmod>2019-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tropical-planar-networks-1910.12934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tropical-planar-networks-1910.12934"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicative-closure-operations-on-ring-extensions-1910.13869</loc><lastmod>2019-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicative-closure-operations-on-ring-extensions-1910.13869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicative-closure-operations-on-ring-extensions-1910.13869"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-and-degree-complexes-of-monomial-ideals-1910.14140</loc><lastmod>2019-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-and-degree-complexes-of-monomial-ideals-1910.14140"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-and-degree-complexes-of-monomial-ideals-1910.14140"/></url>
<url><loc>https://scifaro.com/en/abs/newton-polytopes-of-rank-3-cluster-variables-1910.14372</loc><lastmod>2020-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newton-polytopes-of-rank-3-cluster-variables-1910.14372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newton-polytopes-of-rank-3-cluster-variables-1910.14372"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-closed-subschemes-of-a-scheme-1910.14450</loc><lastmod>2019-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-closed-subschemes-of-a-scheme-1910.14450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-closed-subschemes-of-a-scheme-1910.14450"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-total-graph-of-a-finite-commutative-ring-1911.00144</loc><lastmod>2019-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-total-graph-of-a-finite-commutative-ring-1911.00144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-total-graph-of-a-finite-commutative-ring-1911.00144"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-type-dimension-polynomials-of-intermediate-difference-differential-field-extensions-1911.00875</loc><lastmod>2019-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-type-dimension-polynomials-of-intermediate-difference-differential-field-extensions-1911.00875"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-type-dimension-polynomials-of-intermediate-difference-differential-field-extensions-1911.00875"/></url>
<url><loc>https://scifaro.com/en/abs/structure-of-spectra-of-precompletions-1911.01394</loc><lastmod>2019-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-of-spectra-of-precompletions-1911.01394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-of-spectra-of-precompletions-1911.01394"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-conjecture-of-lynch-1911.01455</loc><lastmod>2019-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-conjecture-of-lynch-1911.01455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-conjecture-of-lynch-1911.01455"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-with-invertible-radical-factorization-1911.02544</loc><lastmod>2020-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-with-invertible-radical-factorization-1911.02544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-with-invertible-radical-factorization-1911.02544"/></url>
<url><loc>https://scifaro.com/en/abs/the-theory-of-f-rational-signature-1911.02642</loc><lastmod>2023-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-theory-of-f-rational-signature-1911.02642"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-theory-of-f-rational-signature-1911.02642"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-for-finding-the-gradings-of-reduced-rings-1911.02957</loc><lastmod>2019-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-for-finding-the-gradings-of-reduced-rings-1911.02957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-for-finding-the-gradings-of-reduced-rings-1911.02957"/></url>
<url><loc>https://scifaro.com/en/abs/fp-injectivity-of-factors-of-injective-modules-1911.03325</loc><lastmod>2019-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fp-injectivity-of-factors-of-injective-modules-1911.03325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fp-injectivity-of-factors-of-injective-modules-1911.03325"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-of-sets-of-quaternion-algebras-in-characteristic-2-1911.03334</loc><lastmod>2021-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-of-sets-of-quaternion-algebras-in-characteristic-2-1911.03334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-of-sets-of-quaternion-algebras-in-characteristic-2-1911.03334"/></url>
<url><loc>https://scifaro.com/en/abs/divisor-sequences-of-atoms-in-krull-monoids-1911.03566</loc><lastmod>2024-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisor-sequences-of-atoms-in-krull-monoids-1911.03566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisor-sequences-of-atoms-in-krull-monoids-1911.03566"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-function-and-hilbert-kunz-multiplicity-of-some-ideals-of-the-rees-algebra-1911.03889</loc><lastmod>2021-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-function-and-hilbert-kunz-multiplicity-of-some-ideals-of-the-rees-algebra-1911.03889"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-function-and-hilbert-kunz-multiplicity-of-some-ideals-of-the-rees-algebra-1911.03889"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-direct-product-of-fields-with-an-application-1911.04217</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-direct-product-of-fields-with-an-application-1911.04217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-direct-product-of-fields-with-an-application-1911.04217"/></url>
<url><loc>https://scifaro.com/en/abs/on-half-factoriality-of-transfer-krull-monoids-1911.04267</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-half-factoriality-of-transfer-krull-monoids-1911.04267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-half-factoriality-of-transfer-krull-monoids-1911.04267"/></url>
<url><loc>https://scifaro.com/en/abs/epsilon-multiplicity-for-graded-algebras-1911.04531</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/epsilon-multiplicity-for-graded-algebras-1911.04531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/epsilon-multiplicity-for-graded-algebras-1911.04531"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-invariants-of-generic-initial-ideals-1911.04570</loc><lastmod>2019-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-invariants-of-generic-initial-ideals-1911.04570"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-invariants-of-generic-initial-ideals-1911.04570"/></url>
<url><loc>https://scifaro.com/en/abs/a-differential-algebraic-criterion-for-obtaining-a-small-maximal-cohen-macaulay-module-1911.05335</loc><lastmod>2019-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-differential-algebraic-criterion-for-obtaining-a-small-maximal-cohen-macaulay-module-1911.05335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-differential-algebraic-criterion-for-obtaining-a-small-maximal-cohen-macaulay-module-1911.05335"/></url>
<url><loc>https://scifaro.com/en/abs/reducibility-of-parameter-ideals-in-low-powers-of-the-maximal-ideal-1911.06004</loc><lastmod>2020-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducibility-of-parameter-ideals-in-low-powers-of-the-maximal-ideal-1911.06004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducibility-of-parameter-ideals-in-low-powers-of-the-maximal-ideal-1911.06004"/></url>
<url><loc>https://scifaro.com/en/abs/einfach-teilbare-und-einfach-torsionsfreie-r-moduln-1911.06141</loc><lastmod>2019-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/einfach-teilbare-und-einfach-torsionsfreie-r-moduln-1911.06141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/einfach-teilbare-und-einfach-torsionsfreie-r-moduln-1911.06141"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-power-containments-in-singular-rings-in-positive-characteristic-1911.06307</loc><lastmod>2022-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-power-containments-in-singular-rings-in-positive-characteristic-1911.06307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-power-containments-in-singular-rings-in-positive-characteristic-1911.06307"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-frobenius-complexity-of-stanley-reisner-rings-1911.06417</loc><lastmod>2019-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-frobenius-complexity-of-stanley-reisner-rings-1911.06417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-frobenius-complexity-of-stanley-reisner-rings-1911.06417"/></url>
<url><loc>https://scifaro.com/en/abs/cardinalities-of-prime-spectra-of-precompletions-1911.06648</loc><lastmod>2019-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cardinalities-of-prime-spectra-of-precompletions-1911.06648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cardinalities-of-prime-spectra-of-precompletions-1911.06648"/></url>
<url><loc>https://scifaro.com/en/abs/4-generated-pseudo-symmetric-monomial-curves-with-not-cohen-macaulay-tangent-cones-1911.07483</loc><lastmod>2023-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/4-generated-pseudo-symmetric-monomial-curves-with-not-cohen-macaulay-tangent-cones-1911.07483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/4-generated-pseudo-symmetric-monomial-curves-with-not-cohen-macaulay-tangent-cones-1911.07483"/></url>
<url><loc>https://scifaro.com/en/abs/ascent-properties-for-test-modules-1911.07708</loc><lastmod>2019-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-properties-for-test-modules-1911.07708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-properties-for-test-modules-1911.07708"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-gorenstein-property-of-the-l-convex-polyominoes-1911.08189</loc><lastmod>2019-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-gorenstein-property-of-the-l-convex-polyominoes-1911.08189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-gorenstein-property-of-the-l-convex-polyominoes-1911.08189"/></url>
<url><loc>https://scifaro.com/en/abs/from-grids-to-pseudo-grids-of-lines-resolution-and-seminormality-1911.08441</loc><lastmod>2021-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/from-grids-to-pseudo-grids-of-lines-resolution-and-seminormality-1911.08441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/from-grids-to-pseudo-grids-of-lines-resolution-and-seminormality-1911.08441"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-f-signatures-of-hibi-rings-1911.08720</loc><lastmod>2020-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-f-signatures-of-hibi-rings-1911.08720"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-f-signatures-of-hibi-rings-1911.08720"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-reduction-number-two-1911.08918</loc><lastmod>2020-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-reduction-number-two-1911.08918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-reduction-number-two-1911.08918"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-semigroups-when-and-how-1911.09072</loc><lastmod>2019-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-semigroups-when-and-how-1911.09072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-semigroups-when-and-how-1911.09072"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-edge-rings-and-matching-numbers-1911.09868</loc><lastmod>2019-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-edge-rings-and-matching-numbers-1911.09868"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-edge-rings-and-matching-numbers-1911.09868"/></url>
<url><loc>https://scifaro.com/en/abs/lov-asz-saks-schrijver-ideals-and-parity-binomial-edge-ideals-of-graphs-1911.10388</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lov-asz-saks-schrijver-ideals-and-parity-binomial-edge-ideals-of-graphs-1911.10388"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lov-asz-saks-schrijver-ideals-and-parity-binomial-edge-ideals-of-graphs-1911.10388"/></url>
<url><loc>https://scifaro.com/en/abs/catenarian-fcp-ring-extensions-1911.10577</loc><lastmod>2019-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/catenarian-fcp-ring-extensions-1911.10577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/catenarian-fcp-ring-extensions-1911.10577"/></url>
<url><loc>https://scifaro.com/en/abs/subalgebras-generated-in-degree-two-with-minimal-hilbert-function-1911.11038</loc><lastmod>2021-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subalgebras-generated-in-degree-two-with-minimal-hilbert-function-1911.11038"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subalgebras-generated-in-degree-two-with-minimal-hilbert-function-1911.11038"/></url>
<url><loc>https://scifaro.com/en/abs/test-modules-weakly-regular-homomorphisms-and-complete-intersection-dimension-1911.11290</loc><lastmod>2022-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-modules-weakly-regular-homomorphisms-and-complete-intersection-dimension-1911.11290"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-modules-weakly-regular-homomorphisms-and-complete-intersection-dimension-1911.11290"/></url>
<url><loc>https://scifaro.com/en/abs/perfectly-contractile-graphs-and-quadratic-toric-rings-1911.12345</loc><lastmod>2023-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfectly-contractile-graphs-and-quadratic-toric-rings-1911.12345"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfectly-contractile-graphs-and-quadratic-toric-rings-1911.12345"/></url>
<url><loc>https://scifaro.com/en/abs/grassmannians-over-a-finite-field-1911.12622</loc><lastmod>2019-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/grassmannians-over-a-finite-field-1911.12622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/grassmannians-over-a-finite-field-1911.12622"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-unicyclic-graphs-1911.12677</loc><lastmod>2021-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-unicyclic-graphs-1911.12677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-unicyclic-graphs-1911.12677"/></url>
<url><loc>https://scifaro.com/en/abs/periodic-staircase-matrices-and-generalized-cluster-structures-1912.00453</loc><lastmod>2022-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/periodic-staircase-matrices-and-generalized-cluster-structures-1912.00453"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/periodic-staircase-matrices-and-generalized-cluster-structures-1912.00453"/></url>
<url><loc>https://scifaro.com/en/abs/lech-s-inequality-for-the-buchsbaum-rim-multiplicity-and-mixed-multiplicity-1912.01073</loc><lastmod>2020-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lech-s-inequality-for-the-buchsbaum-rim-multiplicity-and-mixed-multiplicity-1912.01073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lech-s-inequality-for-the-buchsbaum-rim-multiplicity-and-mixed-multiplicity-1912.01073"/></url>
<url><loc>https://scifaro.com/en/abs/f-nilpotent-rings-and-permanence-properties-1912.01150</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-nilpotent-rings-and-permanence-properties-1912.01150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-nilpotent-rings-and-permanence-properties-1912.01150"/></url>
<url><loc>https://scifaro.com/en/abs/odd-cycles-and-hilbert-functions-of-their-toric-rings-1912.01212</loc><lastmod>2020-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/odd-cycles-and-hilbert-functions-of-their-toric-rings-1912.01212"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/odd-cycles-and-hilbert-functions-of-their-toric-rings-1912.01212"/></url>
<url><loc>https://scifaro.com/en/abs/almost-discrete-valuation-domains-1912.02304</loc><lastmod>2019-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-discrete-valuation-domains-1912.02304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-discrete-valuation-domains-1912.02304"/></url>
<url><loc>https://scifaro.com/en/abs/two-generalizations-of-krull-domains-1912.02306</loc><lastmod>2019-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-generalizations-of-krull-domains-1912.02306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-generalizations-of-krull-domains-1912.02306"/></url>
<url><loc>https://scifaro.com/en/abs/lengths-of-local-cohomology-of-thickenings-1912.02917</loc><lastmod>2019-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lengths-of-local-cohomology-of-thickenings-1912.02917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lengths-of-local-cohomology-of-thickenings-1912.02917"/></url>
<url><loc>https://scifaro.com/en/abs/essential-finite-generation-of-valuation-rings-in-characteristic-zero-algebraic-function-fields-1912.03546</loc><lastmod>2022-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essential-finite-generation-of-valuation-rings-in-characteristic-zero-algebraic-function-fields-1912.03546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essential-finite-generation-of-valuation-rings-in-characteristic-zero-algebraic-function-fields-1912.03546"/></url>
<url><loc>https://scifaro.com/en/abs/f-volumes-1912.03710</loc><lastmod>2024-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-volumes-1912.03710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-volumes-1912.03710"/></url>
<url><loc>https://scifaro.com/en/abs/polarizations-of-powers-of-graded-maximal-ideals-1912.03898</loc><lastmod>2020-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarizations-of-powers-of-graded-maximal-ideals-1912.03898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarizations-of-powers-of-graded-maximal-ideals-1912.03898"/></url>
<url><loc>https://scifaro.com/en/abs/boij-soderberg-theory-for-ideals-generated-by-degree-2-1912.04036</loc><lastmod>2019-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boij-soderberg-theory-for-ideals-generated-by-degree-2-1912.04036"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boij-soderberg-theory-for-ideals-generated-by-degree-2-1912.04036"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-koszul-complexes-filter-regular-sequences-and-lower-bounds-for-the-multiplicity-of-the-resultant-1912.04047</loc><lastmod>2019-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-koszul-complexes-filter-regular-sequences-and-lower-bounds-for-the-multiplicity-of-the-resultant-1912.04047"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-koszul-complexes-filter-regular-sequences-and-lower-bounds-for-the-multiplicity-of-the-resultant-1912.04047"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-and-free-resolutions-of-generalized-star-configurations-of-hypersurfaces-1912.04448</loc><lastmod>2019-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-and-free-resolutions-of-generalized-star-configurations-of-hypersurfaces-1912.04448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-and-free-resolutions-of-generalized-star-configurations-of-hypersurfaces-1912.04448"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1912.04866</loc><lastmod>2021-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1912.04866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-artinian-gorenstein-algebras-of-codimension-three-1912.04866"/></url>
<url><loc>https://scifaro.com/en/abs/semicontinuity-of-singularity-invariants-in-families-of-formal-power-series-1912.05263</loc><lastmod>2020-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semicontinuity-of-singularity-invariants-in-families-of-formal-power-series-1912.05263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semicontinuity-of-singularity-invariants-in-families-of-formal-power-series-1912.05263"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimensions-of-specialization-closed-subsets-and-subcategories-of-modules-1912.05776</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimensions-of-specialization-closed-subsets-and-subcategories-of-modules-1912.05776"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimensions-of-specialization-closed-subsets-and-subcategories-of-modules-1912.05776"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-factorization-of-linear-combinations-of-polynomials-1912.06136</loc><lastmod>2019-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-factorization-of-linear-combinations-of-polynomials-1912.06136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-factorization-of-linear-combinations-of-polynomials-1912.06136"/></url>
<url><loc>https://scifaro.com/en/abs/eliminating-tame-ramification-generalizations-of-abhyankar-s-lemma-1912.06337</loc><lastmod>2020-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eliminating-tame-ramification-generalizations-of-abhyankar-s-lemma-1912.06337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eliminating-tame-ramification-generalizations-of-abhyankar-s-lemma-1912.06337"/></url>
<url><loc>https://scifaro.com/en/abs/toward-mixed-multiplicities-and-joint-reductions-1912.06947</loc><lastmod>2019-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toward-mixed-multiplicities-and-joint-reductions-1912.06947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toward-mixed-multiplicities-and-joint-reductions-1912.06947"/></url>
<url><loc>https://scifaro.com/en/abs/structure-theory-for-a-class-of-grade-3-homogeneous-ideals-defining-type-2-compressed-rings-1912.06949</loc><lastmod>2020-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structure-theory-for-a-class-of-grade-3-homogeneous-ideals-defining-type-2-compressed-rings-1912.06949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structure-theory-for-a-class-of-grade-3-homogeneous-ideals-defining-type-2-compressed-rings-1912.06949"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-weakly-nil-neat-group-rings-1912.07132</loc><lastmod>2019-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-weakly-nil-neat-group-rings-1912.07132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-weakly-nil-neat-group-rings-1912.07132"/></url>
<url><loc>https://scifaro.com/en/abs/spinor-structures-on-free-resolutions-of-codimension-four-gorenstein-ideals-1912.07510</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spinor-structures-on-free-resolutions-of-codimension-four-gorenstein-ideals-1912.07510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spinor-structures-on-free-resolutions-of-codimension-four-gorenstein-ideals-1912.07510"/></url>
<url><loc>https://scifaro.com/en/abs/monotone-catenary-degree-in-numerical-monoids-1912.08114</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monotone-catenary-degree-in-numerical-monoids-1912.08114"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monotone-catenary-degree-in-numerical-monoids-1912.08114"/></url>
<url><loc>https://scifaro.com/en/abs/second-powers-of-cover-ideals-of-paths-1912.08161</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/second-powers-of-cover-ideals-of-paths-1912.08161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/second-powers-of-cover-ideals-of-paths-1912.08161"/></url>
<url><loc>https://scifaro.com/en/abs/varieties-in-mathbf-p-1-bar-mathbf-f-n-by-elimination-and-extension-1912.08252</loc><lastmod>2019-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/varieties-in-mathbf-p-1-bar-mathbf-f-n-by-elimination-and-extension-1912.08252"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/varieties-in-mathbf-p-1-bar-mathbf-f-n-by-elimination-and-extension-1912.08252"/></url>
<url><loc>https://scifaro.com/en/abs/desingularization-of-function-fields-1912.08663</loc><lastmod>2019-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/desingularization-of-function-fields-1912.08663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/desingularization-of-function-fields-1912.08663"/></url>
<url><loc>https://scifaro.com/en/abs/localization-of-complete-intersections-1912.09645</loc><lastmod>2019-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localization-of-complete-intersections-1912.09645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localization-of-complete-intersections-1912.09645"/></url>
<url><loc>https://scifaro.com/en/abs/clique-number-and-chromatic-number-of-a-graph-associated-to-a-commutative-ring-with-unity-1912.10199</loc><lastmod>2020-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/clique-number-and-chromatic-number-of-a-graph-associated-to-a-commutative-ring-with-unity-1912.10199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/clique-number-and-chromatic-number-of-a-graph-associated-to-a-commutative-ring-with-unity-1912.10199"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-projective-dimension-1912.10421</loc><lastmod>2021-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-projective-dimension-1912.10421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-projective-dimension-1912.10421"/></url>
<url><loc>https://scifaro.com/en/abs/a-graph-theoretic-criterion-for-absolute-irreducibility-of-integer-valued-polynomials-with-square-free-denominator-1912.10535</loc><lastmod>2020-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-graph-theoretic-criterion-for-absolute-irreducibility-of-integer-valued-polynomials-with-square-free-denominator-1912.10535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-graph-theoretic-criterion-for-absolute-irreducibility-of-integer-valued-polynomials-with-square-free-denominator-1912.10535"/></url>
<url><loc>https://scifaro.com/en/abs/filtrations-in-module-categories-derived-categories-and-prime-spectra-1912.10584</loc><lastmod>2020-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filtrations-in-module-categories-derived-categories-and-prime-spectra-1912.10584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filtrations-in-module-categories-derived-categories-and-prime-spectra-1912.10584"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-initial-betti-numbers-1912.10864</loc><lastmod>2026-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-initial-betti-numbers-1912.10864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-initial-betti-numbers-1912.10864"/></url>
<url><loc>https://scifaro.com/en/abs/famille-admise-associ-ee-a-une-valuation-de-k-x-1912.10869</loc><lastmod>2020-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/famille-admise-associ-ee-a-une-valuation-de-k-x-1912.10869"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/famille-admise-associ-ee-a-une-valuation-de-k-x-1912.10869"/></url>
<url><loc>https://scifaro.com/en/abs/structures-in-representation-stability-1912.11139</loc><lastmod>2019-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structures-in-representation-stability-1912.11139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structures-in-representation-stability-1912.11139"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-supports-over-derived-complete-intersections-and-local-rings-1912.12009</loc><lastmod>2021-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-supports-over-derived-complete-intersections-and-local-rings-1912.12009"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-supports-over-derived-complete-intersections-and-local-rings-1912.12009"/></url>
<url><loc>https://scifaro.com/en/abs/generic-constructions-and-semidualizing-modules-1912.13099</loc><lastmod>2020-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-constructions-and-semidualizing-modules-1912.13099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-constructions-and-semidualizing-modules-1912.13099"/></url>
<url><loc>https://scifaro.com/en/abs/ladder-determinantal-rings-over-normal-domains-2001.00115</loc><lastmod>2020-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ladder-determinantal-rings-over-normal-domains-2001.00115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ladder-determinantal-rings-over-normal-domains-2001.00115"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicities-and-projective-degrees-of-rational-maps-2001.00547</loc><lastmod>2020-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicities-and-projective-degrees-of-rational-maps-2001.00547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicities-and-projective-degrees-of-rational-maps-2001.00547"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-the-subadditivity-condition-of-syzygies-2001.01136</loc><lastmod>2020-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-the-subadditivity-condition-of-syzygies-2001.01136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-the-subadditivity-condition-of-syzygies-2001.01136"/></url>
<url><loc>https://scifaro.com/en/abs/a-i-invariants-of-powers-of-ideals-2001.01418</loc><lastmod>2020-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-i-invariants-of-powers-of-ideals-2001.01418"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-i-invariants-of-powers-of-ideals-2001.01418"/></url>
<url><loc>https://scifaro.com/en/abs/modules-whose-finiteness-dimensions-coincide-with-their-cohomological-dimensions-2001.02470</loc><lastmod>2021-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-whose-finiteness-dimensions-coincide-with-their-cohomological-dimensions-2001.02470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-whose-finiteness-dimensions-coincide-with-their-cohomological-dimensions-2001.02470"/></url>
<url><loc>https://scifaro.com/en/abs/immediate-extensions-of-valuation-rings-and-ultrapowers-2001.02930</loc><lastmod>2020-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/immediate-extensions-of-valuation-rings-and-ultrapowers-2001.02930"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/immediate-extensions-of-valuation-rings-and-ultrapowers-2001.02930"/></url>
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<url><loc>https://scifaro.com/en/abs/fundamental-results-on-s-closures-2004.13190</loc><lastmod>2020-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fundamental-results-on-s-closures-2004.13190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fundamental-results-on-s-closures-2004.13190"/></url>
<url><loc>https://scifaro.com/en/abs/the-canny-emiris-conjecture-for-the-sparse-resultant-2004.14622</loc><lastmod>2021-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-canny-emiris-conjecture-for-the-sparse-resultant-2004.14622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-canny-emiris-conjecture-for-the-sparse-resultant-2004.14622"/></url>
<url><loc>https://scifaro.com/en/abs/a-propos-d-un-th-eor-eme-de-de-felipe-et-teissier-sur-la-comparaison-de-deux-hens-elis-es-dans-le-cas-non-noeth-erien-2005.00422</loc><lastmod>2020-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-propos-d-un-th-eor-eme-de-de-felipe-et-teissier-sur-la-comparaison-de-deux-hens-elis-es-dans-le-cas-non-noeth-erien-2005.00422"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-propos-d-un-th-eor-eme-de-de-felipe-et-teissier-sur-la-comparaison-de-deux-hens-elis-es-dans-le-cas-non-noeth-erien-2005.00422"/></url>
<url><loc>https://scifaro.com/en/abs/the-mathcal-n-mathcal-f-number-of-a-simplicial-complex-2005.01247</loc><lastmod>2020-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mathcal-n-mathcal-f-number-of-a-simplicial-complex-2005.01247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mathcal-n-mathcal-f-number-of-a-simplicial-complex-2005.01247"/></url>
<url><loc>https://scifaro.com/en/abs/schubert-varieties-and-finite-free-resolutions-of-length-three-2005.01253</loc><lastmod>2021-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/schubert-varieties-and-finite-free-resolutions-of-length-three-2005.01253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/schubert-varieties-and-finite-free-resolutions-of-length-three-2005.01253"/></url>
<url><loc>https://scifaro.com/en/abs/cw-complex-nagata-idealizations-2005.01501</loc><lastmod>2023-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cw-complex-nagata-idealizations-2005.01501"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cw-complex-nagata-idealizations-2005.01501"/></url>
<url><loc>https://scifaro.com/en/abs/algorithms-yield-upper-bounds-in-differential-algebra-2005.01608</loc><lastmod>2021-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithms-yield-upper-bounds-in-differential-algebra-2005.01608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithms-yield-upper-bounds-in-differential-algebra-2005.01608"/></url>
<url><loc>https://scifaro.com/en/abs/trace-of-canonical-modules-annihilator-of-ext-and-classes-of-rings-close-to-being-gorenstein-2005.02263</loc><lastmod>2020-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-of-canonical-modules-annihilator-of-ext-and-classes-of-rings-close-to-being-gorenstein-2005.02263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-of-canonical-modules-annihilator-of-ext-and-classes-of-rings-close-to-being-gorenstein-2005.02263"/></url>
<url><loc>https://scifaro.com/en/abs/lim-ulrich-sequences-and-lech-s-conjecture-2005.02338</loc><lastmod>2022-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lim-ulrich-sequences-and-lech-s-conjecture-2005.02338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lim-ulrich-sequences-and-lech-s-conjecture-2005.02338"/></url>
<url><loc>https://scifaro.com/en/abs/coordinate-sections-of-generic-hankel-matrices-2005.02909</loc><lastmod>2020-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coordinate-sections-of-generic-hankel-matrices-2005.02909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coordinate-sections-of-generic-hankel-matrices-2005.02909"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-dimension-of-ideals-defining-veronese-subrings-2005.03250</loc><lastmod>2021-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-dimension-of-ideals-defining-veronese-subrings-2005.03250"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-dimension-of-ideals-defining-veronese-subrings-2005.03250"/></url>
<url><loc>https://scifaro.com/en/abs/augmented-valuation-and-minimal-pair-2005.03298</loc><lastmod>2020-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/augmented-valuation-and-minimal-pair-2005.03298"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/augmented-valuation-and-minimal-pair-2005.03298"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-incomparability-of-systems-of-sets-of-lengths-2005.03316</loc><lastmod>2020-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-incomparability-of-systems-of-sets-of-lengths-2005.03316"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-incomparability-of-systems-of-sets-of-lengths-2005.03316"/></url>
<url><loc>https://scifaro.com/en/abs/clear-elements-and-clear-rings-2005.03387</loc><lastmod>2020-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/clear-elements-and-clear-rings-2005.03387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/clear-elements-and-clear-rings-2005.03387"/></url>
<url><loc>https://scifaro.com/en/abs/on-completion-of-unimodular-rows-over-polynomial-extension-of-finitely-generated-rings-over-mathbb-z-2005.03485</loc><lastmod>2026-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-completion-of-unimodular-rows-over-polynomial-extension-of-finitely-generated-rings-over-mathbb-z-2005.03485"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-completion-of-unimodular-rows-over-polynomial-extension-of-finitely-generated-rings-over-mathbb-z-2005.03485"/></url>
<url><loc>https://scifaro.com/en/abs/connectedness-of-square-free-groebner-deformations-2005.03569</loc><lastmod>2020-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connectedness-of-square-free-groebner-deformations-2005.03569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connectedness-of-square-free-groebner-deformations-2005.03569"/></url>
<url><loc>https://scifaro.com/en/abs/on-colon-operations-and-special-types-of-ideals-2005.04483</loc><lastmod>2020-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-colon-operations-and-special-types-of-ideals-2005.04483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-colon-operations-and-special-types-of-ideals-2005.04483"/></url>
<url><loc>https://scifaro.com/en/abs/certifying-irreducibility-in-z-x-2005.04633</loc><lastmod>2020-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certifying-irreducibility-in-z-x-2005.04633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certifying-irreducibility-in-z-x-2005.04633"/></url>
<url><loc>https://scifaro.com/en/abs/extreme-values-of-the-resurgence-for-homogeneous-ideals-in-polynomial-rings-2005.05282</loc><lastmod>2020-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extreme-values-of-the-resurgence-for-homogeneous-ideals-in-polynomial-rings-2005.05282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extreme-values-of-the-resurgence-for-homogeneous-ideals-in-polynomial-rings-2005.05282"/></url>
<url><loc>https://scifaro.com/en/abs/reducedness-of-formally-unramified-algebras-over-fields-2005.05833</loc><lastmod>2022-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducedness-of-formally-unramified-algebras-over-fields-2005.05833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducedness-of-formally-unramified-algebras-over-fields-2005.05833"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-pairs-of-rings-with-same-prime-ideals-2005.05959</loc><lastmod>2020-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-pairs-of-rings-with-same-prime-ideals-2005.05959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-pairs-of-rings-with-same-prime-ideals-2005.05959"/></url>
<url><loc>https://scifaro.com/en/abs/completions-of-countable-excellent-domains-and-countable-noncatenary-domains-2005.06911</loc><lastmod>2020-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completions-of-countable-excellent-domains-and-countable-noncatenary-domains-2005.06911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completions-of-countable-excellent-domains-and-countable-noncatenary-domains-2005.06911"/></url>
<url><loc>https://scifaro.com/en/abs/comment-on-two-notes-on-imbedded-prime-divisors-2005.07214</loc><lastmod>2020-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comment-on-two-notes-on-imbedded-prime-divisors-2005.07214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comment-on-two-notes-on-imbedded-prime-divisors-2005.07214"/></url>
<url><loc>https://scifaro.com/en/abs/on-minimal-ring-extensions-2005.07217</loc><lastmod>2020-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-minimal-ring-extensions-2005.07217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-minimal-ring-extensions-2005.07217"/></url>
<url><loc>https://scifaro.com/en/abs/on-maclane-vaqui-e-key-polynomials-2005.08004</loc><lastmod>2020-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-maclane-vaqui-e-key-polynomials-2005.08004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-maclane-vaqui-e-key-polynomials-2005.08004"/></url>
<url><loc>https://scifaro.com/en/abs/herzog-hibi-and-ohsugi-conjecture-for-trees-2005.08576</loc><lastmod>2021-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/herzog-hibi-and-ohsugi-conjecture-for-trees-2005.08576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/herzog-hibi-and-ohsugi-conjecture-for-trees-2005.08576"/></url>
<url><loc>https://scifaro.com/en/abs/bound-for-the-regularity-of-binomial-edge-ideals-of-cactus-graphs-2005.08594</loc><lastmod>2020-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bound-for-the-regularity-of-binomial-edge-ideals-of-cactus-graphs-2005.08594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bound-for-the-regularity-of-binomial-edge-ideals-of-cactus-graphs-2005.08594"/></url>
<url><loc>https://scifaro.com/en/abs/generalization-of-2-absorbing-quasi-primary-ideals-2005.08709</loc><lastmod>2020-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalization-of-2-absorbing-quasi-primary-ideals-2005.08709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalization-of-2-absorbing-quasi-primary-ideals-2005.08709"/></url>
<url><loc>https://scifaro.com/en/abs/s-prime-and-s-weakly-prime-submodules-2005.08733</loc><lastmod>2020-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-prime-and-s-weakly-prime-submodules-2005.08733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-prime-and-s-weakly-prime-submodules-2005.08733"/></url>
<url><loc>https://scifaro.com/en/abs/primality-of-polyomino-ideals-by-quadratic-gr-obner-basis-2005.08758</loc><lastmod>2020-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primality-of-polyomino-ideals-by-quadratic-gr-obner-basis-2005.08758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primality-of-polyomino-ideals-by-quadratic-gr-obner-basis-2005.08758"/></url>
<url><loc>https://scifaro.com/en/abs/completions-of-uncountable-local-rings-with-countable-spectra-2005.08964</loc><lastmod>2020-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completions-of-uncountable-local-rings-with-countable-spectra-2005.08964"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completions-of-uncountable-local-rings-with-countable-spectra-2005.08964"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-and-test-ideals-of-thom-sebastiani-type-polynomials-2005.09172</loc><lastmod>2020-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-and-test-ideals-of-thom-sebastiani-type-polynomials-2005.09172"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-and-test-ideals-of-thom-sebastiani-type-polynomials-2005.09172"/></url>
<url><loc>https://scifaro.com/en/abs/restricted-classes-of-veronese-type-ideals-and-algebras-2005.09601</loc><lastmod>2020-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restricted-classes-of-veronese-type-ideals-and-algebras-2005.09601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restricted-classes-of-veronese-type-ideals-and-algebras-2005.09601"/></url>
<url><loc>https://scifaro.com/en/abs/graded-algebras-with-cyclotomic-hilbert-series-2005.09708</loc><lastmod>2021-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-algebras-with-cyclotomic-hilbert-series-2005.09708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-algebras-with-cyclotomic-hilbert-series-2005.09708"/></url>
<url><loc>https://scifaro.com/en/abs/b-ezoutians-and-injectivity-of-polynomial-maps-2005.09797</loc><lastmod>2023-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/b-ezoutians-and-injectivity-of-polynomial-maps-2005.09797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/b-ezoutians-and-injectivity-of-polynomial-maps-2005.09797"/></url>
<url><loc>https://scifaro.com/en/abs/certain-monomial-ideals-whose-numbers-of-generators-of-powers-descend-2005.09991</loc><lastmod>2021-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certain-monomial-ideals-whose-numbers-of-generators-of-powers-descend-2005.09991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certain-monomial-ideals-whose-numbers-of-generators-of-powers-descend-2005.09991"/></url>
<url><loc>https://scifaro.com/en/abs/descent-of-properties-of-rings-and-pairs-of-rings-to-fixed-rings-2005.10016</loc><lastmod>2020-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/descent-of-properties-of-rings-and-pairs-of-rings-to-fixed-rings-2005.10016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/descent-of-properties-of-rings-and-pairs-of-rings-to-fixed-rings-2005.10016"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-2005.10365</loc><lastmod>2020-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-2005.10365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-2005.10365"/></url>
<url><loc>https://scifaro.com/en/abs/unique-factorization-property-of-non-unique-factorization-domains-ii-2005.10633</loc><lastmod>2020-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unique-factorization-property-of-non-unique-factorization-domains-ii-2005.10633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unique-factorization-property-of-non-unique-factorization-domains-ii-2005.10633"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-complexes-over-cohen-macaulay-rings-2005.10764</loc><lastmod>2021-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-complexes-over-cohen-macaulay-rings-2005.10764"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-complexes-over-cohen-macaulay-rings-2005.10764"/></url>
<url><loc>https://scifaro.com/en/abs/persistence-of-homology-over-commutative-noetherian-rings-2005.10808</loc><lastmod>2020-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/persistence-of-homology-over-commutative-noetherian-rings-2005.10808"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/persistence-of-homology-over-commutative-noetherian-rings-2005.10808"/></url>
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<url><loc>https://scifaro.com/en/abs/isomorphisms-between-local-cohomology-modules-as-truncations-of-taylor-series-2005.11898</loc><lastmod>2020-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphisms-between-local-cohomology-modules-as-truncations-of-taylor-series-2005.11898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphisms-between-local-cohomology-modules-as-truncations-of-taylor-series-2005.11898"/></url>
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<url><loc>https://scifaro.com/en/abs/another-version-of-cosupport-for-complexes-2009.10410</loc><lastmod>2020-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/another-version-of-cosupport-for-complexes-2009.10410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/another-version-of-cosupport-for-complexes-2009.10410"/></url>
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<url><loc>https://scifaro.com/en/abs/elementary-construction-of-minimal-free-resolutions-of-the-specht-ideals-of-shapes-n-2-2-and-d-d-1-2010.06522</loc><lastmod>2021-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-construction-of-minimal-free-resolutions-of-the-specht-ideals-of-shapes-n-2-2-and-d-d-1-2010.06522"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-construction-of-minimal-free-resolutions-of-the-specht-ideals-of-shapes-n-2-2-and-d-d-1-2010.06522"/></url>
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<url><loc>https://scifaro.com/en/abs/multigraded-regularity-of-complete-intersections-2012.14899</loc><lastmod>2021-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-regularity-of-complete-intersections-2012.14899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-regularity-of-complete-intersections-2012.14899"/></url>
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<url><loc>https://scifaro.com/en/abs/multi-rees-algebras-of-strongly-stable-ideals-2012.15447</loc><lastmod>2022-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multi-rees-algebras-of-strongly-stable-ideals-2012.15447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multi-rees-algebras-of-strongly-stable-ideals-2012.15447"/></url>
<url><loc>https://scifaro.com/en/abs/principal-matrices-of-numerical-semigroups-2012.15464</loc><lastmod>2021-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/principal-matrices-of-numerical-semigroups-2012.15464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/principal-matrices-of-numerical-semigroups-2012.15464"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-f-depth-and-graded-nilpotent-singularities-2101.00365</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-f-depth-and-graded-nilpotent-singularities-2101.00365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-f-depth-and-graded-nilpotent-singularities-2101.00365"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-test-exponent-for-ideals-generated-by-filter-regular-sequences-2101.00475</loc><lastmod>2021-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-test-exponent-for-ideals-generated-by-filter-regular-sequences-2101.00475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-test-exponent-for-ideals-generated-by-filter-regular-sequences-2101.00475"/></url>
<url><loc>https://scifaro.com/en/abs/noetherian-operators-in-macaulay2-2101.01002</loc><lastmod>2023-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noetherian-operators-in-macaulay2-2101.01002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noetherian-operators-in-macaulay2-2101.01002"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-rings-of-mixed-characteristic-as-limits-of-complete-intersection-rings-2101.01346</loc><lastmod>2026-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-rings-of-mixed-characteristic-as-limits-of-complete-intersection-rings-2101.01346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-rings-of-mixed-characteristic-as-limits-of-complete-intersection-rings-2101.01346"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-strongly-1-absorbing-primary-ideals-2101.01539</loc><lastmod>2021-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-strongly-1-absorbing-primary-ideals-2101.01539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-strongly-1-absorbing-primary-ideals-2101.01539"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-radically-principal-ideals-2101.01540</loc><lastmod>2021-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-radically-principal-ideals-2101.01540"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-radically-principal-ideals-2101.01540"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-and-newton-complementary-dual-of-quasi-f-ideals-2101.01584</loc><lastmod>2021-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-and-newton-complementary-dual-of-quasi-f-ideals-2101.01584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-and-newton-complementary-dual-of-quasi-f-ideals-2101.01584"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-strongly-irreducible-submodules-in-arithmetical-and-noetherian-modules-2101.01695</loc><lastmod>2021-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-strongly-irreducible-submodules-in-arithmetical-and-noetherian-modules-2101.01695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-strongly-irreducible-submodules-in-arithmetical-and-noetherian-modules-2101.01695"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-negative-curves-of-blow-ups-of-ehrhart-rings-of-rational-convex-polygons-2101.02448</loc><lastmod>2021-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-negative-curves-of-blow-ups-of-ehrhart-rings-of-rational-convex-polygons-2101.02448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-negative-curves-of-blow-ups-of-ehrhart-rings-of-rational-convex-polygons-2101.02448"/></url>
<url><loc>https://scifaro.com/en/abs/on-finite-molecularization-domains-2101.02551</loc><lastmod>2021-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-finite-molecularization-domains-2101.02551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-finite-molecularization-domains-2101.02551"/></url>
<url><loc>https://scifaro.com/en/abs/on-reflexive-and-i-ulrich-modules-over-curve-singularities-2101.02641</loc><lastmod>2021-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-reflexive-and-i-ulrich-modules-over-curve-singularities-2101.02641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-reflexive-and-i-ulrich-modules-over-curve-singularities-2101.02641"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-jacobian-ideal-of-central-arrangements-2101.02735</loc><lastmod>2021-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-jacobian-ideal-of-central-arrangements-2101.02735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-jacobian-ideal-of-central-arrangements-2101.02735"/></url>
<url><loc>https://scifaro.com/en/abs/a-partial-converse-ghost-lemma-for-the-derived-category-of-a-commutative-noetherian-ring-2101.02829</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-partial-converse-ghost-lemma-for-the-derived-category-of-a-commutative-noetherian-ring-2101.02829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-partial-converse-ghost-lemma-for-the-derived-category-of-a-commutative-noetherian-ring-2101.02829"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-polymatroids-with-the-strong-exchange-property-2101.03081</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-polymatroids-with-the-strong-exchange-property-2101.03081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-polymatroids-with-the-strong-exchange-property-2101.03081"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-sparse-determinantal-ideals-2101.03222</loc><lastmod>2021-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-sparse-determinantal-ideals-2101.03222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-sparse-determinantal-ideals-2101.03222"/></url>
<url><loc>https://scifaro.com/en/abs/the-proper-basis-for-polynomial-ideals-2101.03482</loc><lastmod>2025-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-proper-basis-for-polynomial-ideals-2101.03482"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-proper-basis-for-polynomial-ideals-2101.03482"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-and-accessible-graphs-2101.03619</loc><lastmod>2022-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-and-accessible-graphs-2101.03619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-and-accessible-graphs-2101.03619"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-with-differential-operators-2101.03643</loc><lastmod>2022-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-with-differential-operators-2101.03643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-with-differential-operators-2101.03643"/></url>
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<url><loc>https://scifaro.com/en/abs/consequences-of-the-packing-problem-2101.04010</loc><lastmod>2021-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/consequences-of-the-packing-problem-2101.04010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/consequences-of-the-packing-problem-2101.04010"/></url>
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<url><loc>https://scifaro.com/en/abs/cyclotomic-numerical-semigroup-polynomials-with-at-most-two-irreducible-factors-2101.08823</loc><lastmod>2022-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cyclotomic-numerical-semigroup-polynomials-with-at-most-two-irreducible-factors-2101.08823"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cyclotomic-numerical-semigroup-polynomials-with-at-most-two-irreducible-factors-2101.08823"/></url>
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<url><loc>https://scifaro.com/en/abs/completion-of-skew-completable-unimodular-rows-2101.09073</loc><lastmod>2026-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completion-of-skew-completable-unimodular-rows-2101.09073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completion-of-skew-completable-unimodular-rows-2101.09073"/></url>
<url><loc>https://scifaro.com/en/abs/dependence-of-homogeneous-components-of-polynomials-with-small-degree-of-poisson-bracket-2101.09481</loc><lastmod>2021-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dependence-of-homogeneous-components-of-polynomials-with-small-degree-of-poisson-bracket-2101.09481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dependence-of-homogeneous-components-of-polynomials-with-small-degree-of-poisson-bracket-2101.09481"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-i-e-prime-submodules-of-graded-modules-over-graded-commutative-rings-2101.09549</loc><lastmod>2021-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-i-e-prime-submodules-of-graded-modules-over-graded-commutative-rings-2101.09549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-i-e-prime-submodules-of-graded-modules-over-graded-commutative-rings-2101.09549"/></url>
<url><loc>https://scifaro.com/en/abs/the-alexander-hirschowitz-theorem-and-related-problems-2101.09762</loc><lastmod>2021-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-alexander-hirschowitz-theorem-and-related-problems-2101.09762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-alexander-hirschowitz-theorem-and-related-problems-2101.09762"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-of-koszul-algebras-defined-by-four-quadrics-2101.09803</loc><lastmod>2022-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-of-koszul-algebras-defined-by-four-quadrics-2101.09803"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-of-koszul-algebras-defined-by-four-quadrics-2101.09803"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-compactly-generated-t-structures-over-stalks-of-affine-schemes-2101.09966</loc><lastmod>2021-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-compactly-generated-t-structures-over-stalks-of-affine-schemes-2101.09966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-compactly-generated-t-structures-over-stalks-of-affine-schemes-2101.09966"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-s-artinian-rings-and-modules-to-a-hereditary-torsion-theory-setting-2101.10171</loc><lastmod>2021-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-s-artinian-rings-and-modules-to-a-hereditary-torsion-theory-setting-2101.10171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-s-artinian-rings-and-modules-to-a-hereditary-torsion-theory-setting-2101.10171"/></url>
<url><loc>https://scifaro.com/en/abs/computing-real-powers-of-monomial-ideals-2101.10462</loc><lastmod>2022-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-real-powers-of-monomial-ideals-2101.10462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-real-powers-of-monomial-ideals-2101.10462"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-length-factorial-krull-monoids-2101.10908</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-length-factorial-krull-monoids-2101.10908"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-length-factorial-krull-monoids-2101.10908"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-2-absorbing-coprimary-submodules-2101.11151</loc><lastmod>2021-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-2-absorbing-coprimary-submodules-2101.11151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-2-absorbing-coprimary-submodules-2101.11151"/></url>
<url><loc>https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-ideals-of-fermat-configuration-of-points-2101.12308</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-ideals-of-fermat-configuration-of-points-2101.12308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-ideals-of-fermat-configuration-of-points-2101.12308"/></url>
<url><loc>https://scifaro.com/en/abs/projective-closures-of-affine-monomial-curves-2101.12440</loc><lastmod>2022-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-closures-of-affine-monomial-curves-2101.12440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-closures-of-affine-monomial-curves-2101.12440"/></url>
<url><loc>https://scifaro.com/en/abs/on-gr-quasi-semiprime-submodules-2101.12572</loc><lastmod>2023-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gr-quasi-semiprime-submodules-2101.12572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gr-quasi-semiprime-submodules-2101.12572"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-purity-of-resolutions-of-stanley-reisner-rings-associated-to-reed-muller-codes-2102.00308</loc><lastmod>2021-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-purity-of-resolutions-of-stanley-reisner-rings-associated-to-reed-muller-codes-2102.00308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-purity-of-resolutions-of-stanley-reisner-rings-associated-to-reed-muller-codes-2102.00308"/></url>
<url><loc>https://scifaro.com/en/abs/linear-strands-supported-on-regular-cw-complexes-2102.01114</loc><lastmod>2021-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-strands-supported-on-regular-cw-complexes-2102.01114"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-strands-supported-on-regular-cw-complexes-2102.01114"/></url>
<url><loc>https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-fermat-like-ideals-of-planes-and-lines-arrangements-2102.01182</loc><lastmod>2022-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-fermat-like-ideals-of-planes-and-lines-arrangements-2102.01182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-initial-degree-of-symbolic-powers-of-fermat-like-ideals-of-planes-and-lines-arrangements-2102.01182"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-and-reflexivity-of-tensor-products-2102.01575</loc><lastmod>2025-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-and-reflexivity-of-tensor-products-2102.01575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-and-reflexivity-of-tensor-products-2102.01575"/></url>
<url><loc>https://scifaro.com/en/abs/levelness-versus-almost-gorensteinness-of-edge-rings-of-complete-multipartite-graphs-2102.02349</loc><lastmod>2021-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/levelness-versus-almost-gorensteinness-of-edge-rings-of-complete-multipartite-graphs-2102.02349"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/levelness-versus-almost-gorensteinness-of-edge-rings-of-complete-multipartite-graphs-2102.02349"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebra-and-special-fiber-ring-of-binomial-edge-ideals-of-closed-graphs-2102.03348</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebra-and-special-fiber-ring-of-binomial-edge-ideals-of-closed-graphs-2102.03348"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebra-and-special-fiber-ring-of-binomial-edge-ideals-of-closed-graphs-2102.03348"/></url>
<url><loc>https://scifaro.com/en/abs/a-structural-invariant-on-certain-two-dimensional-noetherian-partially-ordered-sets-2102.03492</loc><lastmod>2021-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-structural-invariant-on-certain-two-dimensional-noetherian-partially-ordered-sets-2102.03492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-structural-invariant-on-certain-two-dimensional-noetherian-partially-ordered-sets-2102.03492"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-classical-2-absorbing-second-submodules-of-graded-modules-over-graded-commutative-rings-2102.03730</loc><lastmod>2022-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-classical-2-absorbing-second-submodules-of-graded-modules-over-graded-commutative-rings-2102.03730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-classical-2-absorbing-second-submodules-of-graded-modules-over-graded-commutative-rings-2102.03730"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-phi-prime-submodules-2102.04155</loc><lastmod>2021-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-phi-prime-submodules-2102.04155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-phi-prime-submodules-2102.04155"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-versus-buchsbaumness-of-the-special-fiber-cone-2102.04218</loc><lastmod>2026-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-versus-buchsbaumness-of-the-special-fiber-cone-2102.04218"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-versus-buchsbaumness-of-the-special-fiber-cone-2102.04218"/></url>
<url><loc>https://scifaro.com/en/abs/naive-liftings-of-dg-modules-2102.04634</loc><lastmod>2022-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/naive-liftings-of-dg-modules-2102.04634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/naive-liftings-of-dg-modules-2102.04634"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closures-primary-hyperideals-and-hypervaluation-hyperideals-of-kranser-hyperrings-2102.04711</loc><lastmod>2021-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closures-primary-hyperideals-and-hypervaluation-hyperideals-of-kranser-hyperrings-2102.04711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closures-primary-hyperideals-and-hypervaluation-hyperideals-of-kranser-hyperrings-2102.04711"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-polynomial-of-length-functions-2102.04917</loc><lastmod>2024-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-polynomial-of-length-functions-2102.04917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-polynomial-of-length-functions-2102.04917"/></url>
<url><loc>https://scifaro.com/en/abs/the-second-vanishing-theorem-in-stanley-reisner-ring-with-topological-interpretation-2102.05270</loc><lastmod>2023-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-second-vanishing-theorem-in-stanley-reisner-ring-with-topological-interpretation-2102.05270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-second-vanishing-theorem-in-stanley-reisner-ring-with-topological-interpretation-2102.05270"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-of-commutative-rings-2102.06077</loc><lastmod>2021-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-of-commutative-rings-2102.06077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-1-absorbing-prime-ideals-of-commutative-rings-2102.06077"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-squarefree-monomial-ideals-2102.06426</loc><lastmod>2021-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-squarefree-monomial-ideals-2102.06426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-extremal-betti-numbers-of-squarefree-monomial-ideals-2102.06426"/></url>
<url><loc>https://scifaro.com/en/abs/generalizations-of-samuel-s-criteria-for-a-ring-to-be-a-unique-factorization-domain-2102.06642</loc><lastmod>2021-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizations-of-samuel-s-criteria-for-a-ring-to-be-a-unique-factorization-domain-2102.06642"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizations-of-samuel-s-criteria-for-a-ring-to-be-a-unique-factorization-domain-2102.06642"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-with-more-than-two-factors-2102.06819</loc><lastmod>2021-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-with-more-than-two-factors-2102.06819"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-with-more-than-two-factors-2102.06819"/></url>
<url><loc>https://scifaro.com/en/abs/on-1-absorbing-delta-primary-ideals-2102.07189</loc><lastmod>2021-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-1-absorbing-delta-primary-ideals-2102.07189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-1-absorbing-delta-primary-ideals-2102.07189"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-the-stanley-depth-and-hilbert-depth-of-monomial-ideals-with-linear-quotients-2102.07196</loc><lastmod>2024-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-the-stanley-depth-and-hilbert-depth-of-monomial-ideals-with-linear-quotients-2102.07196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-the-stanley-depth-and-hilbert-depth-of-monomial-ideals-with-linear-quotients-2102.07196"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2102.07462</loc><lastmod>2021-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2102.07462"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2102.07462"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-j-ideals-of-commutative-rings-2102.07823</loc><lastmod>2021-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-j-ideals-of-commutative-rings-2102.07823"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-j-ideals-of-commutative-rings-2102.07823"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-of-multiplier-and-test-ideals-2102.08024</loc><lastmod>2021-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-of-multiplier-and-test-ideals-2102.08024"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-of-multiplier-and-test-ideals-2102.08024"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-and-mixed-multiplicities-of-arbitrary-filtrations-2102.08165</loc><lastmod>2021-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-and-mixed-multiplicities-of-arbitrary-filtrations-2102.08165"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-and-mixed-multiplicities-of-arbitrary-filtrations-2102.08165"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-the-toric-rings-of-a-chordal-bipartite-family-of-graphs-2102.08528</loc><lastmod>2021-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-the-toric-rings-of-a-chordal-bipartite-family-of-graphs-2102.08528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-the-toric-rings-of-a-chordal-bipartite-family-of-graphs-2102.08528"/></url>
<url><loc>https://scifaro.com/en/abs/graded-local-cohomology-modules-with-respect-to-the-linked-ideals-2102.09015</loc><lastmod>2021-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-local-cohomology-modules-with-respect-to-the-linked-ideals-2102.09015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-local-cohomology-modules-with-respect-to-the-linked-ideals-2102.09015"/></url>
<url><loc>https://scifaro.com/en/abs/computing-real-radicals-by-moment-optimization-2102.09367</loc><lastmod>2021-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-real-radicals-by-moment-optimization-2102.09367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-real-radicals-by-moment-optimization-2102.09367"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-support-of-relative-d-modules-2102.09476</loc><lastmod>2021-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-support-of-relative-d-modules-2102.09476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-support-of-relative-d-modules-2102.09476"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-j-ideals-of-commutative-rings-2102.10299</loc><lastmod>2021-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-j-ideals-of-commutative-rings-2102.10299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-j-ideals-of-commutative-rings-2102.10299"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-j-submodules-2102.10300</loc><lastmod>2021-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-j-submodules-2102.10300"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-j-submodules-2102.10300"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-2102.11188</loc><lastmod>2021-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-2102.11188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-binomial-edge-ideals-2102.11188"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-of-generic-ideals-in-products-of-projective-spaces-2102.11516</loc><lastmod>2021-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-of-generic-ideals-in-products-of-projective-spaces-2102.11516"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-of-generic-ideals-in-products-of-projective-spaces-2102.11516"/></url>
<url><loc>https://scifaro.com/en/abs/multivariate-generalized-splines-and-syzygies-on-graphs-2102.11563</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multivariate-generalized-splines-and-syzygies-on-graphs-2102.11563"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multivariate-generalized-splines-and-syzygies-on-graphs-2102.11563"/></url>
<url><loc>https://scifaro.com/en/abs/1-absorbing-primary-submodules-2102.12148</loc><lastmod>2021-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/1-absorbing-primary-submodules-2102.12148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/1-absorbing-primary-submodules-2102.12148"/></url>
<url><loc>https://scifaro.com/en/abs/division-properties-in-exterior-algebras-of-free-modules-and-logarithmic-residua-2102.12287</loc><lastmod>2022-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/division-properties-in-exterior-algebras-of-free-modules-and-logarithmic-residua-2102.12287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/division-properties-in-exterior-algebras-of-free-modules-and-logarithmic-residua-2102.12287"/></url>
<url><loc>https://scifaro.com/en/abs/the-second-vanishing-theorem-for-local-cohomology-modules-2102.12545</loc><lastmod>2025-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-second-vanishing-theorem-for-local-cohomology-modules-2102.12545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-second-vanishing-theorem-for-local-cohomology-modules-2102.12545"/></url>
<url><loc>https://scifaro.com/en/abs/the-derived-sequence-of-a-pre-jaffard-family-2102.12742</loc><lastmod>2021-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-derived-sequence-of-a-pre-jaffard-family-2102.12742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-derived-sequence-of-a-pre-jaffard-family-2102.12742"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-with-finite-reducing-gorenstein-dimension-2103.00253</loc><lastmod>2025-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-with-finite-reducing-gorenstein-dimension-2103.00253"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-with-finite-reducing-gorenstein-dimension-2103.00253"/></url>
<url><loc>https://scifaro.com/en/abs/principal-radical-systems-lefschetz-properties-and-perfection-of-specht-ideals-of-two-rowed-partitions-2103.00759</loc><lastmod>2021-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/principal-radical-systems-lefschetz-properties-and-perfection-of-specht-ideals-of-two-rowed-partitions-2103.00759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/principal-radical-systems-lefschetz-properties-and-perfection-of-specht-ideals-of-two-rowed-partitions-2103.00759"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-test-ideals-over-rings-of-finite-and-countable-cohen-macaulay-type-2103.02529</loc><lastmod>2021-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-test-ideals-over-rings-of-finite-and-countable-cohen-macaulay-type-2103.02529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-test-ideals-over-rings-of-finite-and-countable-cohen-macaulay-type-2103.02529"/></url>
<url><loc>https://scifaro.com/en/abs/n-fiber-full-modules-2103.02918</loc><lastmod>2022-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-fiber-full-modules-2103.02918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-fiber-full-modules-2103.02918"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-s-inequality-and-holonomicity-for-certain-singular-rings-2103.02986</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-s-inequality-and-holonomicity-for-certain-singular-rings-2103.02986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-s-inequality-and-holonomicity-for-certain-singular-rings-2103.02986"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-prime-ideals-for-infinite-dimensional-supergroups-2103.03152</loc><lastmod>2021-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-prime-ideals-for-infinite-dimensional-supergroups-2103.03152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-prime-ideals-for-infinite-dimensional-supergroups-2103.03152"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-resolutions-for-the-second-power-of-square-free-monomial-ideals-2103.04074</loc><lastmod>2021-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-resolutions-for-the-second-power-of-square-free-monomial-ideals-2103.04074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-resolutions-for-the-second-power-of-square-free-monomial-ideals-2103.04074"/></url>
<url><loc>https://scifaro.com/en/abs/the-size-of-betti-tables-of-edge-ideals-arising-from-bipartite-graphs-2103.04766</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-size-of-betti-tables-of-edge-ideals-arising-from-bipartite-graphs-2103.04766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-size-of-betti-tables-of-edge-ideals-arising-from-bipartite-graphs-2103.04766"/></url>
<url><loc>https://scifaro.com/en/abs/components-of-symmetric-wide-matrix-varieties-2103.05415</loc><lastmod>2022-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/components-of-symmetric-wide-matrix-varieties-2103.05415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/components-of-symmetric-wide-matrix-varieties-2103.05415"/></url>
<url><loc>https://scifaro.com/en/abs/the-recursion-formula-for-mixed-multiplicities-with-respect-to-joint-reductions-2103.05509</loc><lastmod>2021-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-recursion-formula-for-mixed-multiplicities-with-respect-to-joint-reductions-2103.05509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-recursion-formula-for-mixed-multiplicities-with-respect-to-joint-reductions-2103.05509"/></url>
<url><loc>https://scifaro.com/en/abs/test-elements-excellent-rings-and-content-functions-2103.06452</loc><lastmod>2022-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-elements-excellent-rings-and-content-functions-2103.06452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-elements-excellent-rings-and-content-functions-2103.06452"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-multipartite-hypergraphs-and-waldschmidt-constant-2103.06468</loc><lastmod>2021-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-multipartite-hypergraphs-and-waldschmidt-constant-2103.06468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-multipartite-hypergraphs-and-waldschmidt-constant-2103.06468"/></url>
<url><loc>https://scifaro.com/en/abs/graded-ideals-of-k-onig-type-2103.07755</loc><lastmod>2021-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-ideals-of-k-onig-type-2103.07755"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-ideals-of-k-onig-type-2103.07755"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-on-the-koszul-homology-algebra-2103.07767</loc><lastmod>2021-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-on-the-koszul-homology-algebra-2103.07767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-on-the-koszul-homology-algebra-2103.07767"/></url>
<url><loc>https://scifaro.com/en/abs/morse-resolutions-of-powers-of-square-free-monomial-ideals-of-projective-dimension-one-2103.07959</loc><lastmod>2021-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/morse-resolutions-of-powers-of-square-free-monomial-ideals-of-projective-dimension-one-2103.07959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/morse-resolutions-of-powers-of-square-free-monomial-ideals-of-projective-dimension-one-2103.07959"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-reduction-numbers-and-the-castelnuovo-mumford-regularity-of-projective-monomial-curves-2103.08099</loc><lastmod>2021-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-reduction-numbers-and-the-castelnuovo-mumford-regularity-of-projective-monomial-curves-2103.08099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-reduction-numbers-and-the-castelnuovo-mumford-regularity-of-projective-monomial-curves-2103.08099"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-phi-dedekind-rings-and-phi-prufer-rings-2103.08278</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-phi-dedekind-rings-and-phi-prufer-rings-2103.08278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-phi-dedekind-rings-and-phi-prufer-rings-2103.08278"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-differential-modules-2103.08471</loc><lastmod>2022-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-differential-modules-2103.08471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-differential-modules-2103.08471"/></url>
<url><loc>https://scifaro.com/en/abs/the-small-finitistic-dimensions-of-commutative-rings-2103.08807</loc><lastmod>2023-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-small-finitistic-dimensions-of-commutative-rings-2103.08807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-small-finitistic-dimensions-of-commutative-rings-2103.08807"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-cohen-macaulay-rings-2103.11334</loc><lastmod>2021-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-cohen-macaulay-rings-2103.11334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-cohen-macaulay-rings-2103.11334"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-2103.11524</loc><lastmod>2021-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-2103.11524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-2103.11524"/></url>
<url><loc>https://scifaro.com/en/abs/delta-n-ideals-of-commutative-rings-2103.11679</loc><lastmod>2021-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/delta-n-ideals-of-commutative-rings-2103.11679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/delta-n-ideals-of-commutative-rings-2103.11679"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-existence-of-birational-maximal-cohen-macaulay-modules-over-biradical-extensions-in-mixed-characteristic-2103.12008</loc><lastmod>2021-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-existence-of-birational-maximal-cohen-macaulay-modules-over-biradical-extensions-in-mixed-characteristic-2103.12008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-existence-of-birational-maximal-cohen-macaulay-modules-over-biradical-extensions-in-mixed-characteristic-2103.12008"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-birational-small-cohen-macaulay-modules-over-biquadratic-extensions-in-mixed-characteristic-2103.12023</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-birational-small-cohen-macaulay-modules-over-biquadratic-extensions-in-mixed-characteristic-2103.12023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-birational-small-cohen-macaulay-modules-over-biquadratic-extensions-in-mixed-characteristic-2103.12023"/></url>
<url><loc>https://scifaro.com/en/abs/bi-atomic-classes-of-positive-semirings-2103.13264</loc><lastmod>2021-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-atomic-classes-of-positive-semirings-2103.13264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-atomic-classes-of-positive-semirings-2103.13264"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-on-the-eisenbud-green-harris-conjecture-2103.14106</loc><lastmod>2021-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-on-the-eisenbud-green-harris-conjecture-2103.14106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-on-the-eisenbud-green-harris-conjecture-2103.14106"/></url>
<url><loc>https://scifaro.com/en/abs/computing-multiplicity-sequences-2103.14175</loc><lastmod>2024-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-multiplicity-sequences-2103.14175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-multiplicity-sequences-2103.14175"/></url>
<url><loc>https://scifaro.com/en/abs/new-characterizations-of-s-coherent-rings-2103.14240</loc><lastmod>2021-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-characterizations-of-s-coherent-rings-2103.14240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-characterizations-of-s-coherent-rings-2103.14240"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-nonnil-coherent-rings-and-phi-if-rings-2103.14809</loc><lastmod>2021-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-nonnil-coherent-rings-and-phi-if-rings-2103.14809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-nonnil-coherent-rings-and-phi-if-rings-2103.14809"/></url>
<url><loc>https://scifaro.com/en/abs/some-ranks-of-modules-over-group-rings-2103.14825</loc><lastmod>2021-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-ranks-of-modules-over-group-rings-2103.14825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-ranks-of-modules-over-group-rings-2103.14825"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-certain-semidualizing-complexes-via-their-betti-and-bass-numbers-2103.15531</loc><lastmod>2022-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-certain-semidualizing-complexes-via-their-betti-and-bass-numbers-2103.15531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-certain-semidualizing-complexes-via-their-betti-and-bass-numbers-2103.15531"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-which-are-minimal-cohen-macaulay-2103.16078</loc><lastmod>2022-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-which-are-minimal-cohen-macaulay-2103.16078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-which-are-minimal-cohen-macaulay-2103.16078"/></url>
<url><loc>https://scifaro.com/en/abs/standard-monomial-theory-and-toric-degenerations-of-richardson-varieties-in-the-grassmannian-2103.16208</loc><lastmod>2021-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-monomial-theory-and-toric-degenerations-of-richardson-varieties-in-the-grassmannian-2103.16208"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-monomial-theory-and-toric-degenerations-of-richardson-varieties-in-the-grassmannian-2103.16208"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-with-concentration-two-2103.16723</loc><lastmod>2021-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-with-concentration-two-2103.16723"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-with-concentration-two-2103.16723"/></url>
<url><loc>https://scifaro.com/en/abs/nearly-gorenstein-rings-arising-from-finite-graphs-2103.17042</loc><lastmod>2021-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nearly-gorenstein-rings-arising-from-finite-graphs-2103.17042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nearly-gorenstein-rings-arising-from-finite-graphs-2103.17042"/></url>
<url><loc>https://scifaro.com/en/abs/iterated-mapping-cones-for-strongly-koszul-algebras-2104.00037</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterated-mapping-cones-for-strongly-koszul-algebras-2104.00037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterated-mapping-cones-for-strongly-koszul-algebras-2104.00037"/></url>
<url><loc>https://scifaro.com/en/abs/a-uniform-chevalley-theorem-for-direct-summands-of-polynomial-rings-in-mixed-characteristic-2104.00612</loc><lastmod>2022-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-uniform-chevalley-theorem-for-direct-summands-of-polynomial-rings-in-mixed-characteristic-2104.00612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-uniform-chevalley-theorem-for-direct-summands-of-polynomial-rings-in-mixed-characteristic-2104.00612"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-the-koszul-homology-of-a-local-ring-2104.00726</loc><lastmod>2022-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-the-koszul-homology-of-a-local-ring-2104.00726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-the-koszul-homology-of-a-local-ring-2104.00726"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-factorization-invariants-of-the-additive-structure-of-exponential-puiseux-semirings-2104.02127</loc><lastmod>2021-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-factorization-invariants-of-the-additive-structure-of-exponential-puiseux-semirings-2104.02127"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-factorization-invariants-of-the-additive-structure-of-exponential-puiseux-semirings-2104.02127"/></url>
<url><loc>https://scifaro.com/en/abs/prime-ideals-and-noetherian-properties-in-vector-lattices-2104.03377</loc><lastmod>2021-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-ideals-and-noetherian-properties-in-vector-lattices-2104.03377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-ideals-and-noetherian-properties-in-vector-lattices-2104.03377"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-of-modules-a-computational-differential-approach-2104.03385</loc><lastmod>2022-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-of-modules-a-computational-differential-approach-2104.03385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-of-modules-a-computational-differential-approach-2104.03385"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-characteristic-artin-schreier-polynomials-2104.03433</loc><lastmod>2022-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-characteristic-artin-schreier-polynomials-2104.03433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-characteristic-artin-schreier-polynomials-2104.03433"/></url>
<url><loc>https://scifaro.com/en/abs/eliahou-number-wilf-function-and-concentration-of-a-numerical-semigroup-2104.03793</loc><lastmod>2025-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eliahou-number-wilf-function-and-concentration-of-a-numerical-semigroup-2104.03793"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eliahou-number-wilf-function-and-concentration-of-a-numerical-semigroup-2104.03793"/></url>
<url><loc>https://scifaro.com/en/abs/modules-over-some-group-rings-having-d-generator-property-2104.04185</loc><lastmod>2021-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-over-some-group-rings-having-d-generator-property-2104.04185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-over-some-group-rings-having-d-generator-property-2104.04185"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-fiber-products-2104.04390</loc><lastmod>2021-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-fiber-products-2104.04390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-fiber-products-2104.04390"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-derksen-ideals-2104.04428</loc><lastmod>2021-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-derksen-ideals-2104.04428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-derksen-ideals-2104.04428"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalizations-of-graded-r-ideals-2104.05140</loc><lastmod>2021-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalizations-of-graded-r-ideals-2104.05140"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalizations-of-graded-r-ideals-2104.05140"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-algebras-and-multigraded-linear-series-2104.05397</loc><lastmod>2024-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-algebras-and-multigraded-linear-series-2104.05397"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-algebras-and-multigraded-linear-series-2104.05397"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-under-small-perturbations-2104.05486</loc><lastmod>2021-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-under-small-perturbations-2104.05486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-under-small-perturbations-2104.05486"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-frobenius-forms-in-five-variables-2104.05635</loc><lastmod>2022-05-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-frobenius-forms-in-five-variables-2104.05635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-frobenius-forms-in-five-variables-2104.05635"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-modules-and-weakly-lim-ulrich-sequences-do-not-always-exist-2104.05766</loc><lastmod>2021-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-modules-and-weakly-lim-ulrich-sequences-do-not-always-exist-2104.05766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-modules-and-weakly-lim-ulrich-sequences-do-not-always-exist-2104.05766"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-j-submodules-of-modules-over-commutative-rings-2104.06134</loc><lastmod>2021-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-j-submodules-of-modules-over-commutative-rings-2104.06134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-j-submodules-of-modules-over-commutative-rings-2104.06134"/></url>
<url><loc>https://scifaro.com/en/abs/delta-j-ideals-of-commutative-rings-2104.07187</loc><lastmod>2021-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/delta-j-ideals-of-commutative-rings-2104.07187"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/delta-j-ideals-of-commutative-rings-2104.07187"/></url>
<url><loc>https://scifaro.com/en/abs/topics-on-strict-closure-of-rings-2104.08496</loc><lastmod>2021-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/topics-on-strict-closure-of-rings-2104.08496"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/topics-on-strict-closure-of-rings-2104.08496"/></url>
<url><loc>https://scifaro.com/en/abs/on-truncations-of-valuations-2104.08609</loc><lastmod>2021-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-truncations-of-valuations-2104.08609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-truncations-of-valuations-2104.08609"/></url>
<url><loc>https://scifaro.com/en/abs/on-super-v-domains-2104.08612</loc><lastmod>2021-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-super-v-domains-2104.08612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-super-v-domains-2104.08612"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-sylvester-forms-duality-and-elimination-matrices-2104.08941</loc><lastmod>2022-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-sylvester-forms-duality-and-elimination-matrices-2104.08941"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-sylvester-forms-duality-and-elimination-matrices-2104.08941"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-identities-satisfied-by-generalized-polynomials-2104.09160</loc><lastmod>2021-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-identities-satisfied-by-generalized-polynomials-2104.09160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-identities-satisfied-by-generalized-polynomials-2104.09160"/></url>
<url><loc>https://scifaro.com/en/abs/unimodular-rows-over-monoid-extensions-of-overrings-of-polynomial-rings-2104.09383</loc><lastmod>2021-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unimodular-rows-over-monoid-extensions-of-overrings-of-polynomial-rings-2104.09383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unimodular-rows-over-monoid-extensions-of-overrings-of-polynomial-rings-2104.09383"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-properties-of-polynomial-composites-2104.09657</loc><lastmod>2021-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-properties-of-polynomial-composites-2104.09657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-properties-of-polynomial-composites-2104.09657"/></url>
<url><loc>https://scifaro.com/en/abs/a-genus-explanation-of-the-buchsbaum-rim-multiplicity-2104.09698</loc><lastmod>2021-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-genus-explanation-of-the-buchsbaum-rim-multiplicity-2104.09698"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-genus-explanation-of-the-buchsbaum-rim-multiplicity-2104.09698"/></url>
<url><loc>https://scifaro.com/en/abs/nice-group-structure-on-the-elementary-orbit-space-of-unimodular-rows-2104.09784</loc><lastmod>2021-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nice-group-structure-on-the-elementary-orbit-space-of-unimodular-rows-2104.09784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nice-group-structure-on-the-elementary-orbit-space-of-unimodular-rows-2104.09784"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-and-betti-numbers-in-local-algebra-via-lim-ulrich-points-2104.10140</loc><lastmod>2022-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-and-betti-numbers-in-local-algebra-via-lim-ulrich-points-2104.10140"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-and-betti-numbers-in-local-algebra-via-lim-ulrich-points-2104.10140"/></url>
<url><loc>https://scifaro.com/en/abs/linear-pde-with-constant-coefficients-2104.10146</loc><lastmod>2021-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-pde-with-constant-coefficients-2104.10146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-pde-with-constant-coefficients-2104.10146"/></url>
<url><loc>https://scifaro.com/en/abs/the-rank-of-syzygies-of-canonical-curves-2104.10624</loc><lastmod>2024-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rank-of-syzygies-of-canonical-curves-2104.10624"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rank-of-syzygies-of-canonical-curves-2104.10624"/></url>
<url><loc>https://scifaro.com/en/abs/dimensions-of-betti-cones-on-edge-ideals-2104.10988</loc><lastmod>2022-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimensions-of-betti-cones-on-edge-ideals-2104.10988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimensions-of-betti-cones-on-edge-ideals-2104.10988"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-clutters-2104.11464</loc><lastmod>2021-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-clutters-2104.11464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-clutters-2104.11464"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-with-unique-ap-e-ry-expansions-2104.11465</loc><lastmod>2021-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-with-unique-ap-e-ry-expansions-2104.11465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-with-unique-ap-e-ry-expansions-2104.11465"/></url>
<url><loc>https://scifaro.com/en/abs/a-hyperplane-restriction-theorem-and-applications-to-reductions-of-ideals-2104.11836</loc><lastmod>2021-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-hyperplane-restriction-theorem-and-applications-to-reductions-of-ideals-2104.11836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-hyperplane-restriction-theorem-and-applications-to-reductions-of-ideals-2104.11836"/></url>
<url><loc>https://scifaro.com/en/abs/test-elements-in-equal-characteristic-semianalytic-algebras-2104.12867</loc><lastmod>2022-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-elements-in-equal-characteristic-semianalytic-algebras-2104.12867"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-elements-in-equal-characteristic-semianalytic-algebras-2104.12867"/></url>
<url><loc>https://scifaro.com/en/abs/random-subcomplexes-and-betti-numbers-of-random-edge-ideals-2104.12882</loc><lastmod>2023-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/random-subcomplexes-and-betti-numbers-of-random-edge-ideals-2104.12882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/random-subcomplexes-and-betti-numbers-of-random-edge-ideals-2104.12882"/></url>
<url><loc>https://scifaro.com/en/abs/linearly-presented-modules-and-bounds-on-the-castelnuovo-mumford-regularity-of-ideals-2104.13129</loc><lastmod>2021-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearly-presented-modules-and-bounds-on-the-castelnuovo-mumford-regularity-of-ideals-2104.13129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearly-presented-modules-and-bounds-on-the-castelnuovo-mumford-regularity-of-ideals-2104.13129"/></url>
<url><loc>https://scifaro.com/en/abs/on-transfer-homomorphisms-of-krull-monoids-2104.13788</loc><lastmod>2021-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-transfer-homomorphisms-of-krull-monoids-2104.13788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-transfer-homomorphisms-of-krull-monoids-2104.13788"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-the-degrees-of-the-defining-equations-of-rees-rings-for-certain-determinantal-and-pfaffian-ideals-2104.13811</loc><lastmod>2021-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-the-degrees-of-the-defining-equations-of-rees-rings-for-certain-determinantal-and-pfaffian-ideals-2104.13811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-the-degrees-of-the-defining-equations-of-rees-rings-for-certain-determinantal-and-pfaffian-ideals-2104.13811"/></url>
<url><loc>https://scifaro.com/en/abs/decomposition-of-integrally-closed-ideals-in-arf-rings-2104.14122</loc><lastmod>2022-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposition-of-integrally-closed-ideals-in-arf-rings-2104.14122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposition-of-integrally-closed-ideals-in-arf-rings-2104.14122"/></url>
<url><loc>https://scifaro.com/en/abs/closed-cohen-macaulay-completion-of-binomial-edge-ideals-2104.14143</loc><lastmod>2022-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closed-cohen-macaulay-completion-of-binomial-edge-ideals-2104.14143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closed-cohen-macaulay-completion-of-binomial-edge-ideals-2104.14143"/></url>
<url><loc>https://scifaro.com/en/abs/analytic-spread-of-filtrations-and-symbolic-algebras-2104.14463</loc><lastmod>2022-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analytic-spread-of-filtrations-and-symbolic-algebras-2104.14463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analytic-spread-of-filtrations-and-symbolic-algebras-2104.14463"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-mathbb-p-1-times-mathbb-p-1-data-and-conjectures-2104.14598</loc><lastmod>2021-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-mathbb-p-1-times-mathbb-p-1-data-and-conjectures-2104.14598"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-mathbb-p-1-times-mathbb-p-1-data-and-conjectures-2104.14598"/></url>
<url><loc>https://scifaro.com/en/abs/asl-structures-of-some-quadrics-2104.14772</loc><lastmod>2021-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asl-structures-of-some-quadrics-2104.14772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asl-structures-of-some-quadrics-2104.14772"/></url>
<url><loc>https://scifaro.com/en/abs/a-norm-functor-for-quadratic-algebras-2104.15128</loc><lastmod>2021-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-norm-functor-for-quadratic-algebras-2104.15128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-norm-functor-for-quadratic-algebras-2104.15128"/></url>
<url><loc>https://scifaro.com/en/abs/on-row-factorization-relations-of-certain-numerical-semigroups-2105.00383</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-row-factorization-relations-of-certain-numerical-semigroups-2105.00383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-row-factorization-relations-of-certain-numerical-semigroups-2105.00383"/></url>
<url><loc>https://scifaro.com/en/abs/images-of-linear-derivations-and-linear-e-derivations-of-k-x-1-x-2-x-3-2105.00386</loc><lastmod>2021-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/images-of-linear-derivations-and-linear-e-derivations-of-k-x-1-x-2-x-3-2105.00386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/images-of-linear-derivations-and-linear-e-derivations-of-k-x-1-x-2-x-3-2105.00386"/></url>
<url><loc>https://scifaro.com/en/abs/rings-with-finite-n-weak-injective-dimension-and-n-k-weak-cotorsion-modules-2105.00413</loc><lastmod>2021-06-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-with-finite-n-weak-injective-dimension-and-n-k-weak-cotorsion-modules-2105.00413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-with-finite-n-weak-injective-dimension-and-n-k-weak-cotorsion-modules-2105.00413"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-endomorphisms-local-cohomology-and-completion-2105.00664</loc><lastmod>2021-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-endomorphisms-local-cohomology-and-completion-2105.00664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-endomorphisms-local-cohomology-and-completion-2105.00664"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-via-a-classification-theorem-of-the-dominant-resolving-subcategories-2105.00692</loc><lastmod>2021-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-via-a-classification-theorem-of-the-dominant-resolving-subcategories-2105.00692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-via-a-classification-theorem-of-the-dominant-resolving-subcategories-2105.00692"/></url>
<url><loc>https://scifaro.com/en/abs/colon-structure-of-associated-primes-of-monomial-ideals-2105.00835</loc><lastmod>2022-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colon-structure-of-associated-primes-of-monomial-ideals-2105.00835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colon-structure-of-associated-primes-of-monomial-ideals-2105.00835"/></url>
<url><loc>https://scifaro.com/en/abs/freiman-cover-ideals-of-unmixed-bipartite-graphs-2105.00871</loc><lastmod>2021-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freiman-cover-ideals-of-unmixed-bipartite-graphs-2105.00871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freiman-cover-ideals-of-unmixed-bipartite-graphs-2105.00871"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-differential-forms-over-over-fields-of-characteristic-p-2105.01319</loc><lastmod>2022-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-differential-forms-over-over-fields-of-characteristic-p-2105.01319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-differential-forms-over-over-fields-of-characteristic-p-2105.01319"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-determinantal-cremona-maps-2105.03872</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-determinantal-cremona-maps-2105.03872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-determinantal-cremona-maps-2105.03872"/></url>
<url><loc>https://scifaro.com/en/abs/low-dimensional-flow-polytopes-and-their-toric-ideals-2105.04004</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/low-dimensional-flow-polytopes-and-their-toric-ideals-2105.04004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/low-dimensional-flow-polytopes-and-their-toric-ideals-2105.04004"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-of-the-tangent-cones-for-gorenstein-monomial-curves-2105.04012</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-the-tangent-cones-for-gorenstein-monomial-curves-2105.04012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-the-tangent-cones-for-gorenstein-monomial-curves-2105.04012"/></url>
<url><loc>https://scifaro.com/en/abs/an-illustrated-view-of-differential-operators-of-a-reduced-quotient-of-an-affine-semigroup-ring-2105.04074</loc><lastmod>2021-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-illustrated-view-of-differential-operators-of-a-reduced-quotient-of-an-affine-semigroup-ring-2105.04074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-illustrated-view-of-differential-operators-of-a-reduced-quotient-of-an-affine-semigroup-ring-2105.04074"/></url>
<url><loc>https://scifaro.com/en/abs/telescopic-multiplicative-and-rational-extensions-of-summations-2105.04592</loc><lastmod>2021-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/telescopic-multiplicative-and-rational-extensions-of-summations-2105.04592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/telescopic-multiplicative-and-rational-extensions-of-summations-2105.04592"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-topological-structure-of-the-non-finitely-generated-locus-of-frobenius-algebras-emerging-from-stanley-reisner-rings-2105.04782</loc><lastmod>2021-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-topological-structure-of-the-non-finitely-generated-locus-of-frobenius-algebras-emerging-from-stanley-reisner-rings-2105.04782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-topological-structure-of-the-non-finitely-generated-locus-of-frobenius-algebras-emerging-from-stanley-reisner-rings-2105.04782"/></url>
<url><loc>https://scifaro.com/en/abs/closed-neighborhood-ideals-of-finite-simple-graphs-2105.05007</loc><lastmod>2021-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closed-neighborhood-ideals-of-finite-simple-graphs-2105.05007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closed-neighborhood-ideals-of-finite-simple-graphs-2105.05007"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-matroidal-path-ideals-2105.05910</loc><lastmod>2022-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-matroidal-path-ideals-2105.05910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-matroidal-path-ideals-2105.05910"/></url>
<url><loc>https://scifaro.com/en/abs/certain-homological-invariants-of-bipartite-kneser-graphs-2105.06144</loc><lastmod>2021-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certain-homological-invariants-of-bipartite-kneser-graphs-2105.06144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certain-homological-invariants-of-bipartite-kneser-graphs-2105.06144"/></url>
<url><loc>https://scifaro.com/en/abs/reflexive-modules-over-arf-local-rings-2105.07184</loc><lastmod>2023-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexive-modules-over-arf-local-rings-2105.07184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexive-modules-over-arf-local-rings-2105.07184"/></url>
<url><loc>https://scifaro.com/en/abs/graded-filtrations-and-ideals-of-reduction-number-two-2105.07185</loc><lastmod>2021-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-filtrations-and-ideals-of-reduction-number-two-2105.07185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-filtrations-and-ideals-of-reduction-number-two-2105.07185"/></url>
<url><loc>https://scifaro.com/en/abs/integrally-closed-ideals-of-reduction-number-three-2105.07186</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrally-closed-ideals-of-reduction-number-three-2105.07186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrally-closed-ideals-of-reduction-number-three-2105.07186"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-waldschmidt-constant-of-square-free-principal-borel-ideals-2105.07307</loc><lastmod>2021-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-waldschmidt-constant-of-square-free-principal-borel-ideals-2105.07307"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-waldschmidt-constant-of-square-free-principal-borel-ideals-2105.07307"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-weakly-proregular-sequences-and-local-cohomology-2105.07652</loc><lastmod>2022-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-weakly-proregular-sequences-and-local-cohomology-2105.07652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-weakly-proregular-sequences-and-local-cohomology-2105.07652"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-s-flat-modules-and-s-von-neumann-regular-rings-by-uniformity-2105.07941</loc><lastmod>2022-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-s-flat-modules-and-s-von-neumann-regular-rings-by-uniformity-2105.07941"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-s-flat-modules-and-s-von-neumann-regular-rings-by-uniformity-2105.07941"/></url>
<url><loc>https://scifaro.com/en/abs/curve-singularities-with-one-puiseux-pair-and-value-sets-of-modules-over-their-local-rings-2105.07943</loc><lastmod>2022-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/curve-singularities-with-one-puiseux-pair-and-value-sets-of-modules-over-their-local-rings-2105.07943"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/curve-singularities-with-one-puiseux-pair-and-value-sets-of-modules-over-their-local-rings-2105.07943"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-and-cellular-free-resolutions-over-polynomial-oi-algebras-2105.08603</loc><lastmod>2021-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-and-cellular-free-resolutions-over-polynomial-oi-algebras-2105.08603"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-and-cellular-free-resolutions-over-polynomial-oi-algebras-2105.08603"/></url>
<url><loc>https://scifaro.com/en/abs/regular-local-rings-of-dimension-four-and-gorenstein-syzygetic-prime-ideals-2105.09161</loc><lastmod>2022-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-local-rings-of-dimension-four-and-gorenstein-syzygetic-prime-ideals-2105.09161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-local-rings-of-dimension-four-and-gorenstein-syzygetic-prime-ideals-2105.09161"/></url>
<url><loc>https://scifaro.com/en/abs/buchsbaumness-and-castelnuovo-mumford-regularity-of-non-smooth-monomial-curves-2105.09190</loc><lastmod>2021-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/buchsbaumness-and-castelnuovo-mumford-regularity-of-non-smooth-monomial-curves-2105.09190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/buchsbaumness-and-castelnuovo-mumford-regularity-of-non-smooth-monomial-curves-2105.09190"/></url>
<url><loc>https://scifaro.com/en/abs/squarefree-powers-of-edge-ideals-of-forests-2105.09744</loc><lastmod>2021-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/squarefree-powers-of-edge-ideals-of-forests-2105.09744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/squarefree-powers-of-edge-ideals-of-forests-2105.09744"/></url>
<url><loc>https://scifaro.com/en/abs/revisiting-g-dedekind-domains-2105.10139</loc><lastmod>2021-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/revisiting-g-dedekind-domains-2105.10139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/revisiting-g-dedekind-domains-2105.10139"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-ideals-for-a-class-of-p-groups-in-characteristic-p-2105.10527</loc><lastmod>2021-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-ideals-for-a-class-of-p-groups-in-characteristic-p-2105.10527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-ideals-for-a-class-of-p-groups-in-characteristic-p-2105.10527"/></url>
<url><loc>https://scifaro.com/en/abs/invariant-gorenstein-rings-on-3-dimensional-spaces-2105.11014</loc><lastmod>2021-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariant-gorenstein-rings-on-3-dimensional-spaces-2105.11014"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariant-gorenstein-rings-on-3-dimensional-spaces-2105.11014"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.11429</loc><lastmod>2022-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.11429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.11429"/></url>
<url><loc>https://scifaro.com/en/abs/a-numerical-characterization-of-the-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2105.11944</loc><lastmod>2021-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-numerical-characterization-of-the-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2105.11944"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-numerical-characterization-of-the-extremal-betti-numbers-of-t-spread-strongly-stable-ideals-2105.11944"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-fat-forests-and-their-alexander-dual-2105.12025</loc><lastmod>2022-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-fat-forests-and-their-alexander-dual-2105.12025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-fat-forests-and-their-alexander-dual-2105.12025"/></url>
<url><loc>https://scifaro.com/en/abs/reflexive-modules-self-dual-modules-and-arf-rings-2105.12240</loc><lastmod>2021-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexive-modules-self-dual-modules-and-arf-rings-2105.12240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexive-modules-self-dual-modules-and-arf-rings-2105.12240"/></url>
<url><loc>https://scifaro.com/en/abs/generic-local-rings-on-a-spectrum-between-golod-and-gorenstein-2105.13167</loc><lastmod>2023-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-local-rings-on-a-spectrum-between-golod-and-gorenstein-2105.13167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-local-rings-on-a-spectrum-between-golod-and-gorenstein-2105.13167"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-type-determinantal-formulas-for-families-of-mixed-multilinear-systems-2105.13188</loc><lastmod>2021-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-type-determinantal-formulas-for-families-of-mixed-multilinear-systems-2105.13188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-type-determinantal-formulas-for-families-of-mixed-multilinear-systems-2105.13188"/></url>
<url><loc>https://scifaro.com/en/abs/directed-gaussian-graphical-models-with-toric-vanishing-ideals-2105.13357</loc><lastmod>2022-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/directed-gaussian-graphical-models-with-toric-vanishing-ideals-2105.13357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/directed-gaussian-graphical-models-with-toric-vanishing-ideals-2105.13357"/></url>
<url><loc>https://scifaro.com/en/abs/poisson-catenarity-in-poisson-nilpotent-algebras-2105.13737</loc><lastmod>2021-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poisson-catenarity-in-poisson-nilpotent-algebras-2105.13737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poisson-catenarity-in-poisson-nilpotent-algebras-2105.13737"/></url>
<url><loc>https://scifaro.com/en/abs/type-and-conductor-of-simplicial-affine-semigroups-2105.13781</loc><lastmod>2021-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/type-and-conductor-of-simplicial-affine-semigroups-2105.13781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/type-and-conductor-of-simplicial-affine-semigroups-2105.13781"/></url>
<url><loc>https://scifaro.com/en/abs/shift-modules-strongly-stable-ideals-and-their-dualities-2105.14604</loc><lastmod>2023-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shift-modules-strongly-stable-ideals-and-their-dualities-2105.14604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shift-modules-strongly-stable-ideals-and-their-dualities-2105.14604"/></url>
<url><loc>https://scifaro.com/en/abs/ordinary-and-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.14605</loc><lastmod>2021-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ordinary-and-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.14605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ordinary-and-symbolic-powers-of-edge-ideals-of-weighted-oriented-graphs-2105.14605"/></url>
<url><loc>https://scifaro.com/en/abs/a-polynomial-composites-and-monoid-domains-as-algebraic-structures-and-their-applications-2105.15145</loc><lastmod>2021-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-polynomial-composites-and-monoid-domains-as-algebraic-structures-and-their-applications-2105.15145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-polynomial-composites-and-monoid-domains-as-algebraic-structures-and-their-applications-2105.15145"/></url>
<url><loc>https://scifaro.com/en/abs/the-s-weak-global-dimension-of-commutative-rings-2106.00535</loc><lastmod>2021-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-s-weak-global-dimension-of-commutative-rings-2106.00535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-s-weak-global-dimension-of-commutative-rings-2106.00535"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-spaces-of-degenerate-matrices-2106.00735</loc><lastmod>2026-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-spaces-of-degenerate-matrices-2106.00735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-spaces-of-degenerate-matrices-2106.00735"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-arithmetic-of-monoids-of-ideals-2106.00968</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetic-of-monoids-of-ideals-2106.00968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetic-of-monoids-of-ideals-2106.00968"/></url>
<url><loc>https://scifaro.com/en/abs/rooted-order-on-minimal-generators-of-powers-of-some-cover-ideals-2106.01774</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rooted-order-on-minimal-generators-of-powers-of-some-cover-ideals-2106.01774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rooted-order-on-minimal-generators-of-powers-of-some-cover-ideals-2106.01774"/></url>
<url><loc>https://scifaro.com/en/abs/well-ordered-covers-simplicial-bouquets-and-subadditivity-of-betti-numbers-of-square-free-monomial-ideals-2106.01898</loc><lastmod>2021-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/well-ordered-covers-simplicial-bouquets-and-subadditivity-of-betti-numbers-of-square-free-monomial-ideals-2106.01898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/well-ordered-covers-simplicial-bouquets-and-subadditivity-of-betti-numbers-of-square-free-monomial-ideals-2106.01898"/></url>
<url><loc>https://scifaro.com/en/abs/a-jacobian-criterion-for-nonsingularity-in-mixed-characteristic-2106.01996</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-jacobian-criterion-for-nonsingularity-in-mixed-characteristic-2106.01996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-jacobian-criterion-for-nonsingularity-in-mixed-characteristic-2106.01996"/></url>
<url><loc>https://scifaro.com/en/abs/primality-of-weakly-connected-collections-of-cells-and-weakly-closed-path-polyominoes-2106.02155</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primality-of-weakly-connected-collections-of-cells-and-weakly-closed-path-polyominoes-2106.02155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primality-of-weakly-connected-collections-of-cells-and-weakly-closed-path-polyominoes-2106.02155"/></url>
<url><loc>https://scifaro.com/en/abs/virtual-resolutions-of-points-in-mathbb-p-1-times-mathbb-p-1-2106.02759</loc><lastmod>2022-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/virtual-resolutions-of-points-in-mathbb-p-1-times-mathbb-p-1-2106.02759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/virtual-resolutions-of-points-in-mathbb-p-1-times-mathbb-p-1-2106.02759"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-generalized-star-configurations-of-hypersurfaces-2106.02955</loc><lastmod>2021-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-generalized-star-configurations-of-hypersurfaces-2106.02955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-generalized-star-configurations-of-hypersurfaces-2106.02955"/></url>
<url><loc>https://scifaro.com/en/abs/learning-a-performance-metric-of-buchberger-s-algorithm-2106.03676</loc><lastmod>2023-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/learning-a-performance-metric-of-buchberger-s-algorithm-2106.03676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/learning-a-performance-metric-of-buchberger-s-algorithm-2106.03676"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-which-are-determinantal-2106.03900</loc><lastmod>2021-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-which-are-determinantal-2106.03900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-which-are-determinantal-2106.03900"/></url>
<url><loc>https://scifaro.com/en/abs/relative-rank-and-regularization-2106.03933</loc><lastmod>2024-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-rank-and-regularization-2106.03933"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-rank-and-regularization-2106.03933"/></url>
<url><loc>https://scifaro.com/en/abs/orderings-and-valuations-in-hyperfields-2106.04978</loc><lastmod>2021-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/orderings-and-valuations-in-hyperfields-2106.04978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/orderings-and-valuations-in-hyperfields-2106.04978"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-gorenstein-algebras-from-cohen-macaulay-simplicial-complexes-2106.05051</loc><lastmod>2023-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-gorenstein-algebras-from-cohen-macaulay-simplicial-complexes-2106.05051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-gorenstein-algebras-from-cohen-macaulay-simplicial-complexes-2106.05051"/></url>
<url><loc>https://scifaro.com/en/abs/generalised-mennicke-newman-lemma-2106.05548</loc><lastmod>2026-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalised-mennicke-newman-lemma-2106.05548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalised-mennicke-newman-lemma-2106.05548"/></url>
<url><loc>https://scifaro.com/en/abs/rationalizability-of-field-extensions-with-a-view-towards-feynman-integrals-2106.05621</loc><lastmod>2022-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rationalizability-of-field-extensions-with-a-view-towards-feynman-integrals-2106.05621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rationalizability-of-field-extensions-with-a-view-towards-feynman-integrals-2106.05621"/></url>
<url><loc>https://scifaro.com/en/abs/valuations-on-k-x-approaching-a-fixed-irreducible-polynomial-2106.05765</loc><lastmod>2021-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuations-on-k-x-approaching-a-fixed-irreducible-polynomial-2106.05765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuations-on-k-x-approaching-a-fixed-irreducible-polynomial-2106.05765"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-theorem-of-dedekind-2106.06535</loc><lastmod>2022-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-theorem-of-dedekind-2106.06535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-theorem-of-dedekind-2106.06535"/></url>
<url><loc>https://scifaro.com/en/abs/riesz-and-pre-riesz-monoids-2106.06693</loc><lastmod>2021-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/riesz-and-pre-riesz-monoids-2106.06693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/riesz-and-pre-riesz-monoids-2106.06693"/></url>
<url><loc>https://scifaro.com/en/abs/stable-trace-ideals-and-applications-2106.07064</loc><lastmod>2022-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-trace-ideals-and-applications-2106.07064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-trace-ideals-and-applications-2106.07064"/></url>
<url><loc>https://scifaro.com/en/abs/fiber-full-modules-and-a-local-freeness-criterion-for-local-cohomology-modules-2106.07777</loc><lastmod>2022-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fiber-full-modules-and-a-local-freeness-criterion-for-local-cohomology-modules-2106.07777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fiber-full-modules-and-a-local-freeness-criterion-for-local-cohomology-modules-2106.07777"/></url>
<url><loc>https://scifaro.com/en/abs/sequence-regular-commutative-dg-rings-2106.08109</loc><lastmod>2024-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequence-regular-commutative-dg-rings-2106.08109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequence-regular-commutative-dg-rings-2106.08109"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-complexes-and-their-uses-a-partial-survey-2106.08173</loc><lastmod>2021-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-complexes-and-their-uses-a-partial-survey-2106.08173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-complexes-and-their-uses-a-partial-survey-2106.08173"/></url>
<url><loc>https://scifaro.com/en/abs/depth-functions-and-symbolic-depth-functions-of-homogeneous-ideals-2106.08203</loc><lastmod>2021-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-functions-and-symbolic-depth-functions-of-homogeneous-ideals-2106.08203"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-functions-and-symbolic-depth-functions-of-homogeneous-ideals-2106.08203"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-and-vanishing-of-ext-modules-2106.08583</loc><lastmod>2022-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-and-vanishing-of-ext-modules-2106.08583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-cohen-macaulay-tensor-products-and-vanishing-of-ext-modules-2106.08583"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-of-powers-of-parameter-ideals-in-hypersurface-rings-and-their-tight-hilbert-polynomials-2106.08825</loc><lastmod>2022-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-of-powers-of-parameter-ideals-in-hypersurface-rings-and-their-tight-hilbert-polynomials-2106.08825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-of-powers-of-parameter-ideals-in-hypersurface-rings-and-their-tight-hilbert-polynomials-2106.08825"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-polynomials-in-commutative-algebra-2106.08830</loc><lastmod>2021-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-polynomials-in-commutative-algebra-2106.08830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-polynomials-in-commutative-algebra-2106.08830"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linear-ideals-in-veronese-rings-2106.09262</loc><lastmod>2023-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linear-ideals-in-veronese-rings-2106.09262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linear-ideals-in-veronese-rings-2106.09262"/></url>
<url><loc>https://scifaro.com/en/abs/the-tiny-trace-ideals-of-the-canonical-modules-in-cohen-macaulay-rings-of-dimension-one-2106.09404</loc><lastmod>2021-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-tiny-trace-ideals-of-the-canonical-modules-in-cohen-macaulay-rings-of-dimension-one-2106.09404"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-tiny-trace-ideals-of-the-canonical-modules-in-cohen-macaulay-rings-of-dimension-one-2106.09404"/></url>
<url><loc>https://scifaro.com/en/abs/the-quasi-zariski-topology-on-the-graded-quasi-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2106.09519</loc><lastmod>2023-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-quasi-zariski-topology-on-the-graded-quasi-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2106.09519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-quasi-zariski-topology-on-the-graded-quasi-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2106.09519"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-an-invitation-2106.09796</loc><lastmod>2021-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-an-invitation-2106.09796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-an-invitation-2106.09796"/></url>
<url><loc>https://scifaro.com/en/abs/some-factorization-properties-of-idealization-in-commutative-rings-with-zero-divisors-2106.09984</loc><lastmod>2024-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-factorization-properties-of-idealization-in-commutative-rings-with-zero-divisors-2106.09984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-factorization-properties-of-idealization-in-commutative-rings-with-zero-divisors-2106.09984"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-normally-and-nearly-normally-torsion-free-monomial-ideals-2106.10219</loc><lastmod>2022-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-normally-and-nearly-normally-torsion-free-monomial-ideals-2106.10219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-normally-and-nearly-normally-torsion-free-monomial-ideals-2106.10219"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-mtl-rings-2106.10428</loc><lastmod>2021-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-mtl-rings-2106.10428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-mtl-rings-2106.10428"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisor-graph-of-the-rings-c-mathscr-p-x-and-c-mathscr-p-infty-x-2106.10440</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisor-graph-of-the-rings-c-mathscr-p-x-and-c-mathscr-p-infty-x-2106.10440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisor-graph-of-the-rings-c-mathscr-p-x-and-c-mathscr-p-infty-x-2106.10440"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-s-projective-modules-and-s-semisimple-rings-by-uniformity-2106.10441</loc><lastmod>2022-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-s-projective-modules-and-s-semisimple-rings-by-uniformity-2106.10441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-s-projective-modules-and-s-semisimple-rings-by-uniformity-2106.10441"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-equality-of-de-rham-depth-and-formal-grade-in-characteristic-zero-2106.10702</loc><lastmod>2021-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equality-of-de-rham-depth-and-formal-grade-in-characteristic-zero-2106.10702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equality-of-de-rham-depth-and-formal-grade-in-characteristic-zero-2106.10702"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-embedded-associated-primes-of-monomial-ideals-2106.10999</loc><lastmod>2022-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-embedded-associated-primes-of-monomial-ideals-2106.10999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-embedded-associated-primes-of-monomial-ideals-2106.10999"/></url>
<url><loc>https://scifaro.com/en/abs/a-zariski-like-topology-on-the-ideal-spectrum-of-a-ring-2106.11363</loc><lastmod>2022-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-zariski-like-topology-on-the-ideal-spectrum-of-a-ring-2106.11363"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-zariski-like-topology-on-the-ideal-spectrum-of-a-ring-2106.11363"/></url>
<url><loc>https://scifaro.com/en/abs/the-s-global-dimensions-of-commutative-rings-2106.11474</loc><lastmod>2021-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-s-global-dimensions-of-commutative-rings-2106.11474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-s-global-dimensions-of-commutative-rings-2106.11474"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-effective-reduction-of-an-ideal-2106.11648</loc><lastmod>2021-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-effective-reduction-of-an-ideal-2106.11648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-effective-reduction-of-an-ideal-2106.11648"/></url>
<url><loc>https://scifaro.com/en/abs/the-telescope-conjecture-for-von-neumann-regular-rings-2106.12152</loc><lastmod>2021-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-telescope-conjecture-for-von-neumann-regular-rings-2106.12152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-telescope-conjecture-for-von-neumann-regular-rings-2106.12152"/></url>
<url><loc>https://scifaro.com/en/abs/projective-toric-varieties-of-codimension-2-with-maximal-castelnuovo-mumford-regularity-2106.12667</loc><lastmod>2022-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-toric-varieties-of-codimension-2-with-maximal-castelnuovo-mumford-regularity-2106.12667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-toric-varieties-of-codimension-2-with-maximal-castelnuovo-mumford-regularity-2106.12667"/></url>
<url><loc>https://scifaro.com/en/abs/kaplansky-test-problems-for-r-modules-in-zfc-2106.13068</loc><lastmod>2021-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kaplansky-test-problems-for-r-modules-in-zfc-2106.13068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kaplansky-test-problems-for-r-modules-in-zfc-2106.13068"/></url>
<url><loc>https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2106.13758</loc><lastmod>2022-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2106.13758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2106.13758"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-and-cohen-macaulay-matching-complexes-2106.13993</loc><lastmod>2024-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-and-cohen-macaulay-matching-complexes-2106.13993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-and-cohen-macaulay-matching-complexes-2106.13993"/></url>
<url><loc>https://scifaro.com/en/abs/the-shape-of-hilbert-kunz-functions-2106.14053</loc><lastmod>2021-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-shape-of-hilbert-kunz-functions-2106.14053"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-shape-of-hilbert-kunz-functions-2106.14053"/></url>
<url><loc>https://scifaro.com/en/abs/finite-group-characters-on-free-resolutions-2106.14071</loc><lastmod>2021-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-group-characters-on-free-resolutions-2106.14071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-group-characters-on-free-resolutions-2106.14071"/></url>
<url><loc>https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-2106.14759</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-2106.14759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-eisenbud-green-harris-conjecture-2106.14759"/></url>
<url><loc>https://scifaro.com/en/abs/three-takes-on-almost-complete-intersection-ideals-of-grade-3-2106.14764</loc><lastmod>2021-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-takes-on-almost-complete-intersection-ideals-of-grade-3-2106.14764"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-takes-on-almost-complete-intersection-ideals-of-grade-3-2106.14764"/></url>
<url><loc>https://scifaro.com/en/abs/on-constructions-related-to-the-generalized-taylor-complex-2106.14920</loc><lastmod>2021-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-constructions-related-to-the-generalized-taylor-complex-2106.14920"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-constructions-related-to-the-generalized-taylor-complex-2106.14920"/></url>
<url><loc>https://scifaro.com/en/abs/comaximal-factorization-lattices-2106.15008</loc><lastmod>2021-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comaximal-factorization-lattices-2106.15008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comaximal-factorization-lattices-2106.15008"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-resurgence-and-asymptotic-resurgence-of-homogeneous-ideals-2106.15261</loc><lastmod>2022-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-resurgence-and-asymptotic-resurgence-of-homogeneous-ideals-2106.15261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-resurgence-and-asymptotic-resurgence-of-homogeneous-ideals-2106.15261"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-algebras-and-toric-bundles-2106.15562</loc><lastmod>2021-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-algebras-and-toric-bundles-2106.15562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-algebras-and-toric-bundles-2106.15562"/></url>
<url><loc>https://scifaro.com/en/abs/flat-precover-completing-domains-2106.15592</loc><lastmod>2021-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-precover-completing-domains-2106.15592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-precover-completing-domains-2106.15592"/></url>
<url><loc>https://scifaro.com/en/abs/on-restricted-powers-of-complete-intersections-2106.15651</loc><lastmod>2021-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-restricted-powers-of-complete-intersections-2106.15651"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-restricted-powers-of-complete-intersections-2106.15651"/></url>
<url><loc>https://scifaro.com/en/abs/the-waring-rank-of-binary-binomial-forms-2106.15658</loc><lastmod>2021-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-waring-rank-of-binary-binomial-forms-2106.15658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-waring-rank-of-binary-binomial-forms-2106.15658"/></url>
<url><loc>https://scifaro.com/en/abs/setting-the-scene-for-betti-characters-2106.16062</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/setting-the-scene-for-betti-characters-2106.16062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/setting-the-scene-for-betti-characters-2106.16062"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-filtrations-of-covering-polyhedra-and-integral-closure-of-powers-of-monomial-ideals-2106.16185</loc><lastmod>2024-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-filtrations-of-covering-polyhedra-and-integral-closure-of-powers-of-monomial-ideals-2106.16185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-filtrations-of-covering-polyhedra-and-integral-closure-of-powers-of-monomial-ideals-2106.16185"/></url>
<url><loc>https://scifaro.com/en/abs/products-of-ideals-and-golod-rings-2107.00040</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-of-ideals-and-golod-rings-2107.00040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-of-ideals-and-golod-rings-2107.00040"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-and-the-failure-of-the-strong-lefschetz-property-2107.00497</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-and-the-failure-of-the-strong-lefschetz-property-2107.00497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-and-the-failure-of-the-strong-lefschetz-property-2107.00497"/></url>
<url><loc>https://scifaro.com/en/abs/linear-truncations-package-for-macaulay2-2107.00686</loc><lastmod>2023-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-truncations-package-for-macaulay2-2107.00686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-truncations-package-for-macaulay2-2107.00686"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linearity-of-powers-of-cover-ideals-2107.00739</loc><lastmod>2022-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linearity-of-powers-of-cover-ideals-2107.00739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linearity-of-powers-of-cover-ideals-2107.00739"/></url>
<url><loc>https://scifaro.com/en/abs/s-n-ideals-of-commutative-rings-2107.00970</loc><lastmod>2021-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-n-ideals-of-commutative-rings-2107.00970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-n-ideals-of-commutative-rings-2107.00970"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-reduction-of-set-functions-and-matroid-permutations-through-minor-product-assignment-2107.01038</loc><lastmod>2025-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-reduction-of-set-functions-and-matroid-permutations-through-minor-product-assignment-2107.01038"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-reduction-of-set-functions-and-matroid-permutations-through-minor-product-assignment-2107.01038"/></url>
<url><loc>https://scifaro.com/en/abs/a-congruence-property-of-solvable-polynomials-2107.01270</loc><lastmod>2022-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-congruence-property-of-solvable-polynomials-2107.01270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-congruence-property-of-solvable-polynomials-2107.01270"/></url>
<url><loc>https://scifaro.com/en/abs/une-g-e-n-e-ralisation-du-crit-e-re-de-boulier-buchberger-pour-le-calcul-des-ensembles-caract-e-ristiques-d-id-e-aux-diff-e-rentiels-2107.01909</loc><lastmod>2022-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/une-g-e-n-e-ralisation-du-crit-e-re-de-boulier-buchberger-pour-le-calcul-des-ensembles-caract-e-ristiques-d-id-e-aux-diff-e-rentiels-2107.01909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/une-g-e-n-e-ralisation-du-crit-e-re-de-boulier-buchberger-pour-le-calcul-des-ensembles-caract-e-ristiques-d-id-e-aux-diff-e-rentiels-2107.01909"/></url>
<url><loc>https://scifaro.com/en/abs/standard-generators-of-finite-fields-and-their-cyclic-subgroups-2107.02257</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-generators-of-finite-fields-and-their-cyclic-subgroups-2107.02257"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-generators-of-finite-fields-and-their-cyclic-subgroups-2107.02257"/></url>
<url><loc>https://scifaro.com/en/abs/completely-reducible-ternary-cubic-forms-2107.02325</loc><lastmod>2021-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completely-reducible-ternary-cubic-forms-2107.02325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completely-reducible-ternary-cubic-forms-2107.02325"/></url>
<url><loc>https://scifaro.com/en/abs/the-polynomial-closure-is-not-topological-2107.02552</loc><lastmod>2022-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-polynomial-closure-is-not-topological-2107.02552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-polynomial-closure-is-not-topological-2107.02552"/></url>
<url><loc>https://scifaro.com/en/abs/from-algebra-to-analysis-new-proofs-of-theorems-by-ritt-and-seidenberg-2107.03012</loc><lastmod>2021-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/from-algebra-to-analysis-new-proofs-of-theorems-by-ritt-and-seidenberg-2107.03012"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/from-algebra-to-analysis-new-proofs-of-theorems-by-ritt-and-seidenberg-2107.03012"/></url>
<url><loc>https://scifaro.com/en/abs/the-automorphism-group-of-a-valued-field-of-generalised-formal-power-series-2107.03362</loc><lastmod>2022-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-automorphism-group-of-a-valued-field-of-generalised-formal-power-series-2107.03362"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-automorphism-group-of-a-valued-field-of-generalised-formal-power-series-2107.03362"/></url>
<url><loc>https://scifaro.com/en/abs/assassins-and-torsion-functors-ii-2107.03628</loc><lastmod>2022-02-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/assassins-and-torsion-functors-ii-2107.03628"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/assassins-and-torsion-functors-ii-2107.03628"/></url>
<url><loc>https://scifaro.com/en/abs/splitting-ring-extensions-2107.04102</loc><lastmod>2021-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splitting-ring-extensions-2107.04102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splitting-ring-extensions-2107.04102"/></url>
<url><loc>https://scifaro.com/en/abs/blow-up-algebras-of-secant-varieties-of-rational-normal-scrolls-2107.04168</loc><lastmod>2021-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blow-up-algebras-of-secant-varieties-of-rational-normal-scrolls-2107.04168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blow-up-algebras-of-secant-varieties-of-rational-normal-scrolls-2107.04168"/></url>
<url><loc>https://scifaro.com/en/abs/staged-tree-models-with-toric-structure-2107.04516</loc><lastmod>2022-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/staged-tree-models-with-toric-structure-2107.04516"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/staged-tree-models-with-toric-structure-2107.04516"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-of-weighted-oriented-graphs-2107.04524</loc><lastmod>2021-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-of-weighted-oriented-graphs-2107.04524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-of-weighted-oriented-graphs-2107.04524"/></url>
<url><loc>https://scifaro.com/en/abs/s-2-condition-and-cohen-macaulay-binomial-edge-ideals-2107.04539</loc><lastmod>2021-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-2-condition-and-cohen-macaulay-binomial-edge-ideals-2107.04539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-2-condition-and-cohen-macaulay-binomial-edge-ideals-2107.04539"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-phi-1-absorbing-prime-ideals-2107.04659</loc><lastmod>2021-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-phi-1-absorbing-prime-ideals-2107.04659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-phi-1-absorbing-prime-ideals-2107.04659"/></url>
<url><loc>https://scifaro.com/en/abs/isomorphism-types-of-commutative-algebras-of-rank-7-over-an-arbitrary-algebraically-closed-field-of-characteristic-not-2-or-3-2107.04959</loc><lastmod>2021-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isomorphism-types-of-commutative-algebras-of-rank-7-over-an-arbitrary-algebraically-closed-field-of-characteristic-not-2-or-3-2107.04959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isomorphism-types-of-commutative-algebras-of-rank-7-over-an-arbitrary-algebraically-closed-field-of-characteristic-not-2-or-3-2107.04959"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stable-category-of-maximal-cohen-macaulay-modules-over-gorenstein-rings-2107.05237</loc><lastmod>2022-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stable-category-of-maximal-cohen-macaulay-modules-over-gorenstein-rings-2107.05237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stable-category-of-maximal-cohen-macaulay-modules-over-gorenstein-rings-2107.05237"/></url>
<url><loc>https://scifaro.com/en/abs/freiman-t-spread-principal-borel-ideals-2107.05435</loc><lastmod>2021-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freiman-t-spread-principal-borel-ideals-2107.05435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freiman-t-spread-principal-borel-ideals-2107.05435"/></url>
<url><loc>https://scifaro.com/en/abs/minimum-generating-sets-for-complete-graphs-2107.05874</loc><lastmod>2022-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimum-generating-sets-for-complete-graphs-2107.05874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimum-generating-sets-for-complete-graphs-2107.05874"/></url>
<url><loc>https://scifaro.com/en/abs/dominating-ideals-and-closed-neighborhood-ideals-of-graphs-2107.06228</loc><lastmod>2022-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dominating-ideals-and-closed-neighborhood-ideals-of-graphs-2107.06228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dominating-ideals-and-closed-neighborhood-ideals-of-graphs-2107.06228"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-almost-cohen-macaulay-monomial-ideals-2107.06742</loc><lastmod>2022-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-almost-cohen-macaulay-monomial-ideals-2107.06742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-almost-cohen-macaulay-monomial-ideals-2107.06742"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-methods-for-supersmooth-spline-spaces-2107.06842</loc><lastmod>2021-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-methods-for-supersmooth-spline-spaces-2107.06842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-methods-for-supersmooth-spline-spaces-2107.06842"/></url>
<url><loc>https://scifaro.com/en/abs/exceptional-complete-intersection-maps-of-local-rings-2107.07354</loc><lastmod>2022-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/exceptional-complete-intersection-maps-of-local-rings-2107.07354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/exceptional-complete-intersection-maps-of-local-rings-2107.07354"/></url>
<url><loc>https://scifaro.com/en/abs/polarizations-and-hook-partitions-2107.07535</loc><lastmod>2022-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarizations-and-hook-partitions-2107.07535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarizations-and-hook-partitions-2107.07535"/></url>
<url><loc>https://scifaro.com/en/abs/on-global-defensive-k-alliances-in-zero-divisor-graph-of-finite-commutative-rings-2107.08418</loc><lastmod>2021-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-global-defensive-k-alliances-in-zero-divisor-graph-of-finite-commutative-rings-2107.08418"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-global-defensive-k-alliances-in-zero-divisor-graph-of-finite-commutative-rings-2107.08418"/></url>
<url><loc>https://scifaro.com/en/abs/uber-die-maximalen-ideale-des-quotientenringes-r-mathfrak-g-2107.08740</loc><lastmod>2021-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uber-die-maximalen-ideale-des-quotientenringes-r-mathfrak-g-2107.08740"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uber-die-maximalen-ideale-des-quotientenringes-r-mathfrak-g-2107.08740"/></url>
<url><loc>https://scifaro.com/en/abs/from-primary-to-dual-affine-variety-codes-over-the-klein-quartic-2107.08955</loc><lastmod>2021-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/from-primary-to-dual-affine-variety-codes-over-the-klein-quartic-2107.08955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/from-primary-to-dual-affine-variety-codes-over-the-klein-quartic-2107.08955"/></url>
<url><loc>https://scifaro.com/en/abs/surjectivity-of-some-local-cohomology-map-and-the-second-vanishing-theorem-2107.09041</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/surjectivity-of-some-local-cohomology-map-and-the-second-vanishing-theorem-2107.09041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/surjectivity-of-some-local-cohomology-map-and-the-second-vanishing-theorem-2107.09041"/></url>
<url><loc>https://scifaro.com/en/abs/coefficient-rings-of-numerical-semigroup-algebras-2107.09658</loc><lastmod>2021-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coefficient-rings-of-numerical-semigroup-algebras-2107.09658"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coefficient-rings-of-numerical-semigroup-algebras-2107.09658"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-affine-semigroups-with-monomial-minimal-reduction-ideals-2107.09970</loc><lastmod>2021-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-affine-semigroups-with-monomial-minimal-reduction-ideals-2107.09970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-affine-semigroups-with-monomial-minimal-reduction-ideals-2107.09970"/></url>
<url><loc>https://scifaro.com/en/abs/a-self-dual-complete-resolution-2107.10152</loc><lastmod>2022-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-self-dual-complete-resolution-2107.10152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-self-dual-complete-resolution-2107.10152"/></url>
<url><loc>https://scifaro.com/en/abs/ding-injective-envelopes-in-the-category-of-complexes-2107.11502</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ding-injective-envelopes-in-the-category-of-complexes-2107.11502"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ding-injective-envelopes-in-the-category-of-complexes-2107.11502"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-liouvillian-picard-vessiot-extensions-2107.11549</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-liouvillian-picard-vessiot-extensions-2107.11549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-liouvillian-picard-vessiot-extensions-2107.11549"/></url>
<url><loc>https://scifaro.com/en/abs/divisibility-in-rings-of-integer-valued-polynomials-2107.11752</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisibility-in-rings-of-integer-valued-polynomials-2107.11752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisibility-in-rings-of-integer-valued-polynomials-2107.11752"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-phi-pr-ufer-v-multiplication-rings-2107.11907</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-phi-pr-ufer-v-multiplication-rings-2107.11907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-phi-pr-ufer-v-multiplication-rings-2107.11907"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-deformation-and-f-singularities-2107.12116</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-deformation-and-f-singularities-2107.12116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-deformation-and-f-singularities-2107.12116"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-resolutions-for-the-discriminant-of-the-complex-reflection-group-g-m-p-2-2107.12196</loc><lastmod>2021-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-resolutions-for-the-discriminant-of-the-complex-reflection-group-g-m-p-2-2107.12196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-resolutions-for-the-discriminant-of-the-complex-reflection-group-g-m-p-2-2107.12196"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-ideals-of-star-configurations-2107.12260</loc><lastmod>2021-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-ideals-of-star-configurations-2107.12260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-ideals-of-star-configurations-2107.12260"/></url>
<url><loc>https://scifaro.com/en/abs/on-phi-w-flat-modules-and-their-homological-dimensions-2107.12643</loc><lastmod>2023-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-phi-w-flat-modules-and-their-homological-dimensions-2107.12643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-phi-w-flat-modules-and-their-homological-dimensions-2107.12643"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-distribution-of-prime-divisors-in-class-groups-of-affine-monoid-algebras-2107.12644</loc><lastmod>2021-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-distribution-of-prime-divisors-in-class-groups-of-affine-monoid-algebras-2107.12644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-distribution-of-prime-divisors-in-class-groups-of-affine-monoid-algebras-2107.12644"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-ideals-of-the-infinite-polynomial-ring-2107.13027</loc><lastmod>2021-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-ideals-of-the-infinite-polynomial-ring-2107.13027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-ideals-of-the-infinite-polynomial-ring-2107.13027"/></url>
<url><loc>https://scifaro.com/en/abs/on-square-free-and-radical-factorizations-and-existence-of-some-divisors-2107.13539</loc><lastmod>2021-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-square-free-and-radical-factorizations-and-existence-of-some-divisors-2107.13539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-square-free-and-radical-factorizations-and-existence-of-some-divisors-2107.13539"/></url>
<url><loc>https://scifaro.com/en/abs/the-asymptotic-samuel-function-and-invariants-of-singularities-2107.14188</loc><lastmod>2023-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-asymptotic-samuel-function-and-invariants-of-singularities-2107.14188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-asymptotic-samuel-function-and-invariants-of-singularities-2107.14188"/></url>
<url><loc>https://scifaro.com/en/abs/split-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2107.14276</loc><lastmod>2022-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/split-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2107.14276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/split-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2107.14276"/></url>
<url><loc>https://scifaro.com/en/abs/fibers-of-rational-maps-and-elimination-matrices-an-application-oriented-approach-2107.14295</loc><lastmod>2021-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fibers-of-rational-maps-and-elimination-matrices-an-application-oriented-approach-2107.14295"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fibers-of-rational-maps-and-elimination-matrices-an-application-oriented-approach-2107.14295"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-powers-2107.14734</loc><lastmod>2021-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-powers-2107.14734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-and-powers-2107.14734"/></url>
<url><loc>https://scifaro.com/en/abs/coherence-of-absolute-integral-closures-2107.14743</loc><lastmod>2022-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coherence-of-absolute-integral-closures-2107.14743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coherence-of-absolute-integral-closures-2107.14743"/></url>
<url><loc>https://scifaro.com/en/abs/support-varieties-and-cohomology-of-verdier-quotients-of-stable-category-of-complete-intersection-rings-2108.00204</loc><lastmod>2021-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-varieties-and-cohomology-of-verdier-quotients-of-stable-category-of-complete-intersection-rings-2108.00204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-varieties-and-cohomology-of-verdier-quotients-of-stable-category-of-complete-intersection-rings-2108.00204"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-trace-ideals-finite-2108.00414</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-trace-ideals-finite-2108.00414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-trace-ideals-finite-2108.00414"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-with-linear-quotients-and-componentwise-polymatroidal-ideals-2108.00531</loc><lastmod>2021-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-with-linear-quotients-and-componentwise-polymatroidal-ideals-2108.00531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-with-linear-quotients-and-componentwise-polymatroidal-ideals-2108.00531"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-invariant-skew-polynomials-2108.01767</loc><lastmod>2021-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-invariant-skew-polynomials-2108.01767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-invariant-skew-polynomials-2108.01767"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-associated-primes-and-depth-of-integral-closures-of-powers-of-edge-ideals-2108.01830</loc><lastmod>2021-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-associated-primes-and-depth-of-integral-closures-of-powers-of-edge-ideals-2108.01830"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-associated-primes-and-depth-of-integral-closures-of-powers-of-edge-ideals-2108.01830"/></url>
<url><loc>https://scifaro.com/en/abs/a-buchsbaum-theory-for-tight-closure-2108.02615</loc><lastmod>2022-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-buchsbaum-theory-for-tight-closure-2108.02615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-buchsbaum-theory-for-tight-closure-2108.02615"/></url>
<url><loc>https://scifaro.com/en/abs/the-line-graph-of-a-tree-and-its-edge-ideal-2108.03127</loc><lastmod>2021-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-line-graph-of-a-tree-and-its-edge-ideal-2108.03127"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-line-graph-of-a-tree-and-its-edge-ideal-2108.03127"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-finite-factorization-positive-monoids-2108.03195</loc><lastmod>2021-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-finite-factorization-positive-monoids-2108.03195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-finite-factorization-positive-monoids-2108.03195"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-lower-bound-of-de-rham-depth-of-affine-cone-of-a-projective-space-in-characteristic-zero-2108.03359</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-lower-bound-of-de-rham-depth-of-affine-cone-of-a-projective-space-in-characteristic-zero-2108.03359"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-lower-bound-of-de-rham-depth-of-affine-cone-of-a-projective-space-in-characteristic-zero-2108.03359"/></url>
<url><loc>https://scifaro.com/en/abs/macaulay-bases-of-modules-2108.03707</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/macaulay-bases-of-modules-2108.03707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/macaulay-bases-of-modules-2108.03707"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-of-finite-dimensional-noetherian-modules-2108.03748</loc><lastmod>2021-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-of-finite-dimensional-noetherian-modules-2108.03748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-of-finite-dimensional-noetherian-modules-2108.03748"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-linearity-of-the-syzygies-of-hibi-rings-2108.03915</loc><lastmod>2023-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-linearity-of-the-syzygies-of-hibi-rings-2108.03915"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-linearity-of-the-syzygies-of-hibi-rings-2108.03915"/></url>
<url><loc>https://scifaro.com/en/abs/the-facet-ideals-of-matching-complexes-of-line-graphs-2108.04296</loc><lastmod>2021-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-facet-ideals-of-matching-complexes-of-line-graphs-2108.04296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-facet-ideals-of-matching-complexes-of-line-graphs-2108.04296"/></url>
<url><loc>https://scifaro.com/en/abs/inverse-polynomials-of-numerical-semigroup-rings-2108.04513</loc><lastmod>2021-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inverse-polynomials-of-numerical-semigroup-rings-2108.04513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inverse-polynomials-of-numerical-semigroup-rings-2108.04513"/></url>
<url><loc>https://scifaro.com/en/abs/atomicity-of-positive-monoids-2108.05561</loc><lastmod>2021-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atomicity-of-positive-monoids-2108.05561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atomicity-of-positive-monoids-2108.05561"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-number-of-generators-of-prime-ideals-2108.05683</loc><lastmod>2021-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-number-of-generators-of-prime-ideals-2108.05683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-number-of-generators-of-prime-ideals-2108.05683"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-on-betti-numbers-2108.05871</loc><lastmod>2021-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-on-betti-numbers-2108.05871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-on-betti-numbers-2108.05871"/></url>
<url><loc>https://scifaro.com/en/abs/computing-with-jets-2108.06350</loc><lastmod>2023-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-with-jets-2108.06350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-with-jets-2108.06350"/></url>
<url><loc>https://scifaro.com/en/abs/triangulations-of-polygons-and-stacked-simplicial-complexes-separating-their-stanley-reisner-ideals-2108.06520</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/triangulations-of-polygons-and-stacked-simplicial-complexes-separating-their-stanley-reisner-ideals-2108.06520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/triangulations-of-polygons-and-stacked-simplicial-complexes-separating-their-stanley-reisner-ideals-2108.06520"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-square-free-monomial-ideals-2108.06750</loc><lastmod>2021-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-square-free-monomial-ideals-2108.06750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-square-free-monomial-ideals-2108.06750"/></url>
<url><loc>https://scifaro.com/en/abs/on-uniformly-s-absolutely-pure-modules-2108.06851</loc><lastmod>2022-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-uniformly-s-absolutely-pure-modules-2108.06851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-uniformly-s-absolutely-pure-modules-2108.06851"/></url>
<url><loc>https://scifaro.com/en/abs/the-regularity-of-almost-all-edge-ideals-2108.07304</loc><lastmod>2023-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-regularity-of-almost-all-edge-ideals-2108.07304"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-regularity-of-almost-all-edge-ideals-2108.07304"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-of-integer-valued-polynomials-in-several-variables-2108.07458</loc><lastmod>2021-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-of-integer-valued-polynomials-in-several-variables-2108.07458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-of-integer-valued-polynomials-in-several-variables-2108.07458"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-graphs-applications-to-resolutions-of-powers-of-monomial-ideals-2108.07703</loc><lastmod>2021-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-graphs-applications-to-resolutions-of-powers-of-monomial-ideals-2108.07703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-graphs-applications-to-resolutions-of-powers-of-monomial-ideals-2108.07703"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-determinantal-rings-of-symmetric-matrices-2108.07778</loc><lastmod>2021-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-determinantal-rings-of-symmetric-matrices-2108.07778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-determinantal-rings-of-symmetric-matrices-2108.07778"/></url>
<url><loc>https://scifaro.com/en/abs/an-extension-of-a-depth-inequality-of-auslander-2108.07991</loc><lastmod>2021-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-extension-of-a-depth-inequality-of-auslander-2108.07991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-extension-of-a-depth-inequality-of-auslander-2108.07991"/></url>
<url><loc>https://scifaro.com/en/abs/the-dual-of-the-notions-r-submodules-n-submodules-and-j-submodules-2108.08237</loc><lastmod>2021-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dual-of-the-notions-r-submodules-n-submodules-and-j-submodules-2108.08237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dual-of-the-notions-r-submodules-n-submodules-and-j-submodules-2108.08237"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-generating-degrees-of-powers-of-homogeneous-ideals-2108.08564</loc><lastmod>2021-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-generating-degrees-of-powers-of-homogeneous-ideals-2108.08564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-generating-degrees-of-powers-of-homogeneous-ideals-2108.08564"/></url>
<url><loc>https://scifaro.com/en/abs/classifier-construction-in-boolean-networks-using-algebraic-methods-2108.08599</loc><lastmod>2021-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifier-construction-in-boolean-networks-using-algebraic-methods-2108.08599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifier-construction-in-boolean-networks-using-algebraic-methods-2108.08599"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-comparison-of-symbolic-powers-integral-closure-of-powers-and-powers-of-edge-ideals-2108.08609</loc><lastmod>2022-10-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-comparison-of-symbolic-powers-integral-closure-of-powers-and-powers-of-edge-ideals-2108.08609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-comparison-of-symbolic-powers-integral-closure-of-powers-and-powers-of-edge-ideals-2108.08609"/></url>
<url><loc>https://scifaro.com/en/abs/translation-invariant-linear-spaces-of-polynomials-2108.08817</loc><lastmod>2021-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/translation-invariant-linear-spaces-of-polynomials-2108.08817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/translation-invariant-linear-spaces-of-polynomials-2108.08817"/></url>
<url><loc>https://scifaro.com/en/abs/using-semicontinuity-for-standard-bases-computations-2108.09735</loc><lastmod>2025-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/using-semicontinuity-for-standard-bases-computations-2108.09735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/using-semicontinuity-for-standard-bases-computations-2108.09735"/></url>
<url><loc>https://scifaro.com/en/abs/stable-set-rings-which-are-gorenstein-on-the-punctured-spectrum-2108.09912</loc><lastmod>2021-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-set-rings-which-are-gorenstein-on-the-punctured-spectrum-2108.09912"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-set-rings-which-are-gorenstein-on-the-punctured-spectrum-2108.09912"/></url>
<url><loc>https://scifaro.com/en/abs/radical-generic-initial-ideals-2108.10115</loc><lastmod>2021-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-generic-initial-ideals-2108.10115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-generic-initial-ideals-2108.10115"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-colon-ideals-in-a-graded-ring-2108.10235</loc><lastmod>2025-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-colon-ideals-in-a-graded-ring-2108.10235"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-colon-ideals-in-a-graded-ring-2108.10235"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-modules-supported-in-the-chow-variety-2108.10910</loc><lastmod>2022-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-modules-supported-in-the-chow-variety-2108.10910"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-modules-supported-in-the-chow-variety-2108.10910"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-chern-coefficients-and-cohen-macaulay-rings-2108.11079</loc><lastmod>2021-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-chern-coefficients-and-cohen-macaulay-rings-2108.11079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-chern-coefficients-and-cohen-macaulay-rings-2108.11079"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-stretched-rings-2108.11087</loc><lastmod>2021-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-stretched-rings-2108.11087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-stretched-rings-2108.11087"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-in-evaluation-monoids-of-laurent-semirings-2108.11536</loc><lastmod>2021-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-in-evaluation-monoids-of-laurent-semirings-2108.11536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-in-evaluation-monoids-of-laurent-semirings-2108.11536"/></url>
<url><loc>https://scifaro.com/en/abs/psi-morphisms-2108.11764</loc><lastmod>2021-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/psi-morphisms-2108.11764"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/psi-morphisms-2108.11764"/></url>
<url><loc>https://scifaro.com/en/abs/a-comparison-of-dg-algebra-resolutions-with-prime-residual-characteristic-2108.12512</loc><lastmod>2023-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-comparison-of-dg-algebra-resolutions-with-prime-residual-characteristic-2108.12512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-comparison-of-dg-algebra-resolutions-with-prime-residual-characteristic-2108.12512"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-graded-local-cohomology-modules-via-linkage-2108.12703</loc><lastmod>2021-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-graded-local-cohomology-modules-via-linkage-2108.12703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-graded-local-cohomology-modules-via-linkage-2108.12703"/></url>
<url><loc>https://scifaro.com/en/abs/the-zariski-covering-number-for-vector-spaces-and-modules-2108.12853</loc><lastmod>2022-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zariski-covering-number-for-vector-spaces-and-modules-2108.12853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zariski-covering-number-for-vector-spaces-and-modules-2108.12853"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-star-regular-domains-2109.00219</loc><lastmod>2021-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-star-regular-domains-2109.00219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-star-regular-domains-2109.00219"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-bernstein-sato-ideals-2109.00244</loc><lastmod>2021-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-bernstein-sato-ideals-2109.00244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-bernstein-sato-ideals-2109.00244"/></url>
<url><loc>https://scifaro.com/en/abs/s-small-and-s-essential-submodules-2109.00519</loc><lastmod>2021-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-small-and-s-essential-submodules-2109.00519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-small-and-s-essential-submodules-2109.00519"/></url>
<url><loc>https://scifaro.com/en/abs/short-polynomials-in-determinantal-ideals-2109.00578</loc><lastmod>2021-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/short-polynomials-in-determinantal-ideals-2109.00578"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/short-polynomials-in-determinantal-ideals-2109.00578"/></url>
<url><loc>https://scifaro.com/en/abs/blowup-algebras-of-determinantal-ideals-in-prime-characteristic-2109.00592</loc><lastmod>2024-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowup-algebras-of-determinantal-ideals-in-prime-characteristic-2109.00592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowup-algebras-of-determinantal-ideals-in-prime-characteristic-2109.00592"/></url>
<url><loc>https://scifaro.com/en/abs/obstruction-to-naive-liftability-of-dg-modules-2109.00607</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/obstruction-to-naive-liftability-of-dg-modules-2109.00607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/obstruction-to-naive-liftability-of-dg-modules-2109.00607"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-conjecture-and-finite-injective-dimension-of-hom-2109.00692</loc><lastmod>2024-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-and-finite-injective-dimension-of-hom-2109.00692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-and-finite-injective-dimension-of-hom-2109.00692"/></url>
<url><loc>https://scifaro.com/en/abs/the-irreducible-multiplicity-and-ulrich-modules-2109.00726</loc><lastmod>2021-09-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-irreducible-multiplicity-and-ulrich-modules-2109.00726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-irreducible-multiplicity-and-ulrich-modules-2109.00726"/></url>
<url><loc>https://scifaro.com/en/abs/the-homotopy-lie-algebra-of-a-tor-independent-tensor-product-2109.01003</loc><lastmod>2022-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-homotopy-lie-algebra-of-a-tor-independent-tensor-product-2109.01003"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-homotopy-lie-algebra-of-a-tor-independent-tensor-product-2109.01003"/></url>
<url><loc>https://scifaro.com/en/abs/tight-hilbert-polynomial-and-f-rational-local-rings-2109.01257</loc><lastmod>2023-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-hilbert-polynomial-and-f-rational-local-rings-2109.01257"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-hilbert-polynomial-and-f-rational-local-rings-2109.01257"/></url>
<url><loc>https://scifaro.com/en/abs/injective-capacity-and-cogeneration-2109.04545</loc><lastmod>2021-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/injective-capacity-and-cogeneration-2109.04545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/injective-capacity-and-cogeneration-2109.04545"/></url>
<url><loc>https://scifaro.com/en/abs/modules-cofinite-with-respect-to-ideals-of-small-dimensions-2109.04613</loc><lastmod>2021-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-cofinite-with-respect-to-ideals-of-small-dimensions-2109.04613"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-cofinite-with-respect-to-ideals-of-small-dimensions-2109.04613"/></url>
<url><loc>https://scifaro.com/en/abs/on-transfer-krull-monoids-2109.04764</loc><lastmod>2021-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-transfer-krull-monoids-2109.04764"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-transfer-krull-monoids-2109.04764"/></url>
<url><loc>https://scifaro.com/en/abs/global-dimension-of-real-exponent-polynomial-rings-2109.04924</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-dimension-of-real-exponent-polynomial-rings-2109.04924"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-dimension-of-real-exponent-polynomial-rings-2109.04924"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-blow-ups-of-graded-artinian-gorenstein-algebras-along-surjective-maps-2109.05065</loc><lastmod>2021-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-blow-ups-of-graded-artinian-gorenstein-algebras-along-surjective-maps-2109.05065"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-blow-ups-of-graded-artinian-gorenstein-algebras-along-surjective-maps-2109.05065"/></url>
<url><loc>https://scifaro.com/en/abs/comparision-between-regularity-of-small-symbolic-powers-and-ordinary-powers-of-an-edge-ideal-2109.05242</loc><lastmod>2021-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparision-between-regularity-of-small-symbolic-powers-and-ordinary-powers-of-an-edge-ideal-2109.05242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparision-between-regularity-of-small-symbolic-powers-and-ordinary-powers-of-an-edge-ideal-2109.05242"/></url>
<url><loc>https://scifaro.com/en/abs/level-and-gorenstein-projective-dimension-2109.05548</loc><lastmod>2021-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/level-and-gorenstein-projective-dimension-2109.05548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/level-and-gorenstein-projective-dimension-2109.05548"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-stanley-reisner-ideals-of-one-dimensional-simplicial-complexes-2109.06396</loc><lastmod>2021-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-stanley-reisner-ideals-of-one-dimensional-simplicial-complexes-2109.06396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-stanley-reisner-ideals-of-one-dimensional-simplicial-complexes-2109.06396"/></url>
<url><loc>https://scifaro.com/en/abs/finite-determinacy-and-approximation-of-flat-maps-2109.06821</loc><lastmod>2021-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-determinacy-and-approximation-of-flat-maps-2109.06821"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-determinacy-and-approximation-of-flat-maps-2109.06821"/></url>
<url><loc>https://scifaro.com/en/abs/on-1-absorbing-prime-hyperideal-and-some-of-its-generalizations-2109.08385</loc><lastmod>2021-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-1-absorbing-prime-hyperideal-and-some-of-its-generalizations-2109.08385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-1-absorbing-prime-hyperideal-and-some-of-its-generalizations-2109.08385"/></url>
<url><loc>https://scifaro.com/en/abs/alpha-prime-hyperideals-in-a-multiplicative-hyperring-2109.08414</loc><lastmod>2021-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alpha-prime-hyperideals-in-a-multiplicative-hyperring-2109.08414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alpha-prime-hyperideals-in-a-multiplicative-hyperring-2109.08414"/></url>
<url><loc>https://scifaro.com/en/abs/a-c-class-for-algebraic-reliability-computations-2109.08458</loc><lastmod>2021-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-c-class-for-algebraic-reliability-computations-2109.08458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-c-class-for-algebraic-reliability-computations-2109.08458"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-basically-full-closure-and-duals-of-nonresidual-closure-operations-2109.08772</loc><lastmod>2022-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-basically-full-closure-and-duals-of-nonresidual-closure-operations-2109.08772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-basically-full-closure-and-duals-of-nonresidual-closure-operations-2109.08772"/></url>
<url><loc>https://scifaro.com/en/abs/2-prime-hyperideals-2109.08932</loc><lastmod>2021-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-prime-hyperideals-2109.08932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-prime-hyperideals-2109.08932"/></url>
<url><loc>https://scifaro.com/en/abs/rational-singularities-of-nested-hilbert-schemes-2109.09002</loc><lastmod>2024-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-singularities-of-nested-hilbert-schemes-2109.09002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-singularities-of-nested-hilbert-schemes-2109.09002"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-of-small-powers-of-edge-ideals-and-their-regularity-2109.09268</loc><lastmod>2021-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-of-small-powers-of-edge-ideals-and-their-regularity-2109.09268"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-of-small-powers-of-edge-ideals-and-their-regularity-2109.09268"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-internal-characterization-of-injective-algebras-2109.09539</loc><lastmod>2021-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-internal-characterization-of-injective-algebras-2109.09539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-internal-characterization-of-injective-algebras-2109.09539"/></url>
<url><loc>https://scifaro.com/en/abs/the-zariski-topology-on-the-graded-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2109.10113</loc><lastmod>2022-10-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zariski-topology-on-the-graded-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2109.10113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zariski-topology-on-the-graded-primary-spectrum-of-a-graded-module-over-a-graded-commutative-ring-2109.10113"/></url>
<url><loc>https://scifaro.com/en/abs/double-schubert-polynomials-do-have-saturated-newton-polytopes-2109.10299</loc><lastmod>2023-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/double-schubert-polynomials-do-have-saturated-newton-polytopes-2109.10299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/double-schubert-polynomials-do-have-saturated-newton-polytopes-2109.10299"/></url>
<url><loc>https://scifaro.com/en/abs/de-jonqui-eres-transformations-in-arbitrary-dimension-an-ideal-theoretic-view-2109.10479</loc><lastmod>2021-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/de-jonqui-eres-transformations-in-arbitrary-dimension-an-ideal-theoretic-view-2109.10479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/de-jonqui-eres-transformations-in-arbitrary-dimension-an-ideal-theoretic-view-2109.10479"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-restricted-flat-dimensions-2109.10531</loc><lastmod>2021-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-restricted-flat-dimensions-2109.10531"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-local-cohomology-modules-and-restricted-flat-dimensions-2109.10531"/></url>
<url><loc>https://scifaro.com/en/abs/closures-and-co-closures-attached-to-fcp-ring-extensions-2109.10825</loc><lastmod>2021-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closures-and-co-closures-attached-to-fcp-ring-extensions-2109.10825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closures-and-co-closures-attached-to-fcp-ring-extensions-2109.10825"/></url>
<url><loc>https://scifaro.com/en/abs/a-machine-learning-approach-to-commutative-algebra-distinguishing-table-vs-non-table-ideals-2109.11417</loc><lastmod>2021-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-machine-learning-approach-to-commutative-algebra-distinguishing-table-vs-non-table-ideals-2109.11417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-machine-learning-approach-to-commutative-algebra-distinguishing-table-vs-non-table-ideals-2109.11417"/></url>
<url><loc>https://scifaro.com/en/abs/cuts-and-small-extensions-of-abelian-ordered-groups-2109.12528</loc><lastmod>2021-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cuts-and-small-extensions-of-abelian-ordered-groups-2109.12528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cuts-and-small-extensions-of-abelian-ordered-groups-2109.12528"/></url>
<url><loc>https://scifaro.com/en/abs/on-local-rings-without-small-cohen-macaulay-algebras-in-mixed-characteristic-2109.12700</loc><lastmod>2026-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-local-rings-without-small-cohen-macaulay-algebras-in-mixed-characteristic-2109.12700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-local-rings-without-small-cohen-macaulay-algebras-in-mixed-characteristic-2109.12700"/></url>
<url><loc>https://scifaro.com/en/abs/bhargava-factorials-and-irreducibility-of-integer-valued-polynomials-2109.12867</loc><lastmod>2021-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bhargava-factorials-and-irreducibility-of-integer-valued-polynomials-2109.12867"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bhargava-factorials-and-irreducibility-of-integer-valued-polynomials-2109.12867"/></url>
<url><loc>https://scifaro.com/en/abs/the-reduction-number-of-stretched-ideals-2109.12918</loc><lastmod>2021-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-reduction-number-of-stretched-ideals-2109.12918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-reduction-number-of-stretched-ideals-2109.12918"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-two-classes-of-hyperideals-2109.13047</loc><lastmod>2021-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-two-classes-of-hyperideals-2109.13047"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-two-classes-of-hyperideals-2109.13047"/></url>
<url><loc>https://scifaro.com/en/abs/singular-equivalences-to-locally-coherent-hearts-of-commutative-noetherian-rings-2109.13853</loc><lastmod>2023-12-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singular-equivalences-to-locally-coherent-hearts-of-commutative-noetherian-rings-2109.13853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singular-equivalences-to-locally-coherent-hearts-of-commutative-noetherian-rings-2109.13853"/></url>
<url><loc>https://scifaro.com/en/abs/explicit-bound-on-collective-strength-of-regular-sequences-of-three-homogeneous-polynomials-2109.14100</loc><lastmod>2021-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/explicit-bound-on-collective-strength-of-regular-sequences-of-three-homogeneous-polynomials-2109.14100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/explicit-bound-on-collective-strength-of-regular-sequences-of-three-homogeneous-polynomials-2109.14100"/></url>
<url><loc>https://scifaro.com/en/abs/induced-matchings-and-the-v-number-of-graded-ideals-2109.14121</loc><lastmod>2021-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/induced-matchings-and-the-v-number-of-graded-ideals-2109.14121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/induced-matchings-and-the-v-number-of-graded-ideals-2109.14121"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-theory-for-singular-rings-in-positive-characteristic-2110.00129</loc><lastmod>2023-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-theory-for-singular-rings-in-positive-characteristic-2110.00129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-theory-for-singular-rings-in-positive-characteristic-2110.00129"/></url>
<url><loc>https://scifaro.com/en/abs/generic-generalized-diagonal-matrices-2110.02264</loc><lastmod>2022-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-generalized-diagonal-matrices-2110.02264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-generalized-diagonal-matrices-2110.02264"/></url>
<url><loc>https://scifaro.com/en/abs/branched-covers-and-matrix-factorizations-2110.02435</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/branched-covers-and-matrix-factorizations-2110.02435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/branched-covers-and-matrix-factorizations-2110.02435"/></url>
<url><loc>https://scifaro.com/en/abs/restricted-gr-obner-fans-and-re-embeddings-of-affine-algebras-2110.05385</loc><lastmod>2022-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restricted-gr-obner-fans-and-re-embeddings-of-affine-algebras-2110.05385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restricted-gr-obner-fans-and-re-embeddings-of-affine-algebras-2110.05385"/></url>
<url><loc>https://scifaro.com/en/abs/equations-for-gl-invariant-families-of-polynomials-2110.06608</loc><lastmod>2021-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-for-gl-invariant-families-of-polynomials-2110.06608"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-for-gl-invariant-families-of-polynomials-2110.06608"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-properties-of-certain-local-cohomology-modules-of-determinantal-rings-2110.06749</loc><lastmod>2021-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-properties-of-certain-local-cohomology-modules-of-determinantal-rings-2110.06749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-properties-of-certain-local-cohomology-modules-of-determinantal-rings-2110.06749"/></url>
<url><loc>https://scifaro.com/en/abs/j-prime-hyperideals-and-their-generalizations-2110.07073</loc><lastmod>2021-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/j-prime-hyperideals-and-their-generalizations-2110.07073"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/j-prime-hyperideals-and-their-generalizations-2110.07073"/></url>
<url><loc>https://scifaro.com/en/abs/a-remark-on-the-category-of-graded-f-modules-2110.07887</loc><lastmod>2022-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-remark-on-the-category-of-graded-f-modules-2110.07887"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-remark-on-the-category-of-graded-f-modules-2110.07887"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-class-of-finitely-generated-polynomial-subalgebras-without-finite-sagbi-bases-2110.08748</loc><lastmod>2021-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-class-of-finitely-generated-polynomial-subalgebras-without-finite-sagbi-bases-2110.08748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-class-of-finitely-generated-polynomial-subalgebras-without-finite-sagbi-bases-2110.08748"/></url>
<url><loc>https://scifaro.com/en/abs/length-density-and-numerical-semigroups-2110.10618</loc><lastmod>2021-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/length-density-and-numerical-semigroups-2110.10618"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/length-density-and-numerical-semigroups-2110.10618"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-multigraded-regularity-and-virtual-resolutions-on-products-of-projective-spaces-2110.10705</loc><lastmod>2026-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-multigraded-regularity-and-virtual-resolutions-on-products-of-projective-spaces-2110.10705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-multigraded-regularity-and-virtual-resolutions-on-products-of-projective-spaces-2110.10705"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-j-hyperideals-and-their-expansion-2110.10878</loc><lastmod>2021-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-j-hyperideals-and-their-expansion-2110.10878"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-j-hyperideals-and-their-expansion-2110.10878"/></url>
<url><loc>https://scifaro.com/en/abs/graphs-represented-by-ext-2110.11143</loc><lastmod>2022-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graphs-represented-by-ext-2110.11143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graphs-represented-by-ext-2110.11143"/></url>
<url><loc>https://scifaro.com/en/abs/computational-methods-for-t-spread-monomial-ideals-2110.11801</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computational-methods-for-t-spread-monomial-ideals-2110.11801"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computational-methods-for-t-spread-monomial-ideals-2110.11801"/></url>
<url><loc>https://scifaro.com/en/abs/silting-complexes-and-gorenstein-projective-modules-2110.12161</loc><lastmod>2021-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/silting-complexes-and-gorenstein-projective-modules-2110.12161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/silting-complexes-and-gorenstein-projective-modules-2110.12161"/></url>
<url><loc>https://scifaro.com/en/abs/extending-simplicial-complexes-topological-and-combinatorial-properties-2110.12170</loc><lastmod>2021-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extending-simplicial-complexes-topological-and-combinatorial-properties-2110.12170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extending-simplicial-complexes-topological-and-combinatorial-properties-2110.12170"/></url>
<url><loc>https://scifaro.com/en/abs/green-lazarsfeld-index-of-square-free-monomial-ideals-and-their-powers-2110.12174</loc><lastmod>2022-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/green-lazarsfeld-index-of-square-free-monomial-ideals-and-their-powers-2110.12174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/green-lazarsfeld-index-of-square-free-monomial-ideals-and-their-powers-2110.12174"/></url>
<url><loc>https://scifaro.com/en/abs/coartinianess-of-local-homology-modules-for-ideals-of-small-dimension-2110.12718</loc><lastmod>2021-10-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coartinianess-of-local-homology-modules-for-ideals-of-small-dimension-2110.12718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coartinianess-of-local-homology-modules-for-ideals-of-small-dimension-2110.12718"/></url>
<url><loc>https://scifaro.com/en/abs/separation-theorems-in-smooth-commutative-algebra-and-applications-2110.13209</loc><lastmod>2021-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separation-theorems-in-smooth-commutative-algebra-and-applications-2110.13209"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separation-theorems-in-smooth-commutative-algebra-and-applications-2110.13209"/></url>
<url><loc>https://scifaro.com/en/abs/axial-constants-and-sectional-regularity-of-homogeneous-ideals-2110.13782</loc><lastmod>2022-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/axial-constants-and-sectional-regularity-of-homogeneous-ideals-2110.13782"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/axial-constants-and-sectional-regularity-of-homogeneous-ideals-2110.13782"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-s-prime-submodules-2110.14639</loc><lastmod>2021-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-s-prime-submodules-2110.14639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-s-prime-submodules-2110.14639"/></url>
<url><loc>https://scifaro.com/en/abs/the-h-polynomial-and-the-rook-polynomial-of-some-polyominoes-2110.14905</loc><lastmod>2021-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-h-polynomial-and-the-rook-polynomial-of-some-polyominoes-2110.14905"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-h-polynomial-and-the-rook-polynomial-of-some-polyominoes-2110.14905"/></url>
<url><loc>https://scifaro.com/en/abs/atoms-of-root-closed-submonoids-of-mathbb-z-2-2110.14967</loc><lastmod>2022-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atoms-of-root-closed-submonoids-of-mathbb-z-2-2110.14967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atoms-of-root-closed-submonoids-of-mathbb-z-2-2110.14967"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-invariants-of-the-residue-class-rings-of-the-edge-ideals-of-perfect-semiregular-trees-2110.15031</loc><lastmod>2022-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-the-residue-class-rings-of-the-edge-ideals-of-perfect-semiregular-trees-2110.15031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-the-residue-class-rings-of-the-edge-ideals-of-perfect-semiregular-trees-2110.15031"/></url>
<url><loc>https://scifaro.com/en/abs/atomic-semigroup-rings-and-the-ascending-chain-condition-on-principal-ideals-2111.00170</loc><lastmod>2021-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atomic-semigroup-rings-and-the-ascending-chain-condition-on-principal-ideals-2111.00170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atomic-semigroup-rings-and-the-ascending-chain-condition-on-principal-ideals-2111.00170"/></url>
<url><loc>https://scifaro.com/en/abs/chow-rings-of-matroids-are-koszul-2111.00393</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chow-rings-of-matroids-are-koszul-2111.00393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chow-rings-of-matroids-are-koszul-2111.00393"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-in-numerical-semigroup-rings-of-small-multiplicity-2111.00498</loc><lastmod>2021-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-in-numerical-semigroup-rings-of-small-multiplicity-2111.00498"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-in-numerical-semigroup-rings-of-small-multiplicity-2111.00498"/></url>
<url><loc>https://scifaro.com/en/abs/newton-okounkov-body-rees-algebra-and-analytic-spread-of-graded-families-of-monomial-ideals-2111.00681</loc><lastmod>2023-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newton-okounkov-body-rees-algebra-and-analytic-spread-of-graded-families-of-monomial-ideals-2111.00681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newton-okounkov-body-rees-algebra-and-analytic-spread-of-graded-families-of-monomial-ideals-2111.00681"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-containment-in-commutative-rings-2111.00761</loc><lastmod>2022-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-containment-in-commutative-rings-2111.00761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-containment-in-commutative-rings-2111.00761"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ideals-in-the-ring-k-t-5-t-11-2111.01085</loc><lastmod>2021-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ideals-in-the-ring-k-t-5-t-11-2111.01085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ideals-in-the-ring-k-t-5-t-11-2111.01085"/></url>
<url><loc>https://scifaro.com/en/abs/almost-dedekind-domains-without-radical-factorization-2111.02102</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-dedekind-domains-without-radical-factorization-2111.02102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-dedekind-domains-without-radical-factorization-2111.02102"/></url>
<url><loc>https://scifaro.com/en/abs/semi-regular-flat-modules-over-strong-pr-u-fer-rings-2111.02221</loc><lastmod>2021-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-regular-flat-modules-over-strong-pr-u-fer-rings-2111.02221"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-regular-flat-modules-over-strong-pr-u-fer-rings-2111.02221"/></url>
<url><loc>https://scifaro.com/en/abs/a-homological-characterization-of-q-0-pr-u-fer-v-multiplication-rings-2111.02407</loc><lastmod>2023-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-homological-characterization-of-q-0-pr-u-fer-v-multiplication-rings-2111.02407"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-homological-characterization-of-q-0-pr-u-fer-v-multiplication-rings-2111.02407"/></url>
<url><loc>https://scifaro.com/en/abs/okutsu-frames-of-irreducible-polynomials-over-henselian-fields-2111.02811</loc><lastmod>2023-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/okutsu-frames-of-irreducible-polynomials-over-henselian-fields-2111.02811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/okutsu-frames-of-irreducible-polynomials-over-henselian-fields-2111.02811"/></url>
<url><loc>https://scifaro.com/en/abs/the-stable-rank-of-mathbb-z-x-is-3-2111.02965</loc><lastmod>2025-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stable-rank-of-mathbb-z-x-is-3-2111.02965"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stable-rank-of-mathbb-z-x-is-3-2111.02965"/></url>
<url><loc>https://scifaro.com/en/abs/on-tau-q-flatness-and-tau-q-coherence-2111.03417</loc><lastmod>2022-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tau-q-flatness-and-tau-q-coherence-2111.03417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tau-q-flatness-and-tau-q-coherence-2111.03417"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-bidifferential-algebra-2111.03475</loc><lastmod>2021-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-bidifferential-algebra-2111.03475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-bidifferential-algebra-2111.03475"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-binomial-systems-of-generators-for-the-ideals-of-certain-monomial-curves-2111.03714</loc><lastmod>2021-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-binomial-systems-of-generators-for-the-ideals-of-certain-monomial-curves-2111.03714"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-binomial-systems-of-generators-for-the-ideals-of-certain-monomial-curves-2111.03714"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-jacobian-conjecture-and-ideal-membership-for-degree-d-linear-maps-2111.03771</loc><lastmod>2021-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-jacobian-conjecture-and-ideal-membership-for-degree-d-linear-maps-2111.03771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-jacobian-conjecture-and-ideal-membership-for-degree-d-linear-maps-2111.03771"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-reducedness-and-gr-obner-bases-of-specht-ideals-2111.05525</loc><lastmod>2021-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-reducedness-and-gr-obner-bases-of-specht-ideals-2111.05525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-reducedness-and-gr-obner-bases-of-specht-ideals-2111.05525"/></url>
<url><loc>https://scifaro.com/en/abs/homological-properties-of-pinched-veronese-rings-2111.05810</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-properties-of-pinched-veronese-rings-2111.05810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-properties-of-pinched-veronese-rings-2111.05810"/></url>
<url><loc>https://scifaro.com/en/abs/quaternary-quartic-forms-and-gorenstein-rings-2111.05817</loc><lastmod>2021-11-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quaternary-quartic-forms-and-gorenstein-rings-2111.05817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quaternary-quartic-forms-and-gorenstein-rings-2111.05817"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-bounds-on-symbolic-powers-in-regular-rings-2111.06049</loc><lastmod>2023-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-bounds-on-symbolic-powers-in-regular-rings-2111.06049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-bounds-on-symbolic-powers-in-regular-rings-2111.06049"/></url>
<url><loc>https://scifaro.com/en/abs/cosupport-of-artinian-modules-2111.06536</loc><lastmod>2021-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cosupport-of-artinian-modules-2111.06536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cosupport-of-artinian-modules-2111.06536"/></url>
<url><loc>https://scifaro.com/en/abs/an-explicit-self-duality-2111.06848</loc><lastmod>2021-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-explicit-self-duality-2111.06848"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-explicit-self-duality-2111.06848"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-multiplicities-of-the-determinantal-thickenings-of-maximal-minors-2111.06950</loc><lastmod>2022-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-multiplicities-of-the-determinantal-thickenings-of-maximal-minors-2111.06950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-multiplicities-of-the-determinantal-thickenings-of-maximal-minors-2111.06950"/></url>
<url><loc>https://scifaro.com/en/abs/computing-groebner-bases-of-ideal-interpolation-2111.07340</loc><lastmod>2024-01-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-groebner-bases-of-ideal-interpolation-2111.07340"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-groebner-bases-of-ideal-interpolation-2111.07340"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-tables-of-sequentially-almost-cohen-macaulay-modules-2111.07536</loc><lastmod>2025-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-tables-of-sequentially-almost-cohen-macaulay-modules-2111.07536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-tables-of-sequentially-almost-cohen-macaulay-modules-2111.07536"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicative-summations-into-algebraically-closed-fields-2111.09938</loc><lastmod>2021-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicative-summations-into-algebraically-closed-fields-2111.09938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicative-summations-into-algebraically-closed-fields-2111.09938"/></url>
<url><loc>https://scifaro.com/en/abs/approximation-types-describing-extensions-of-valuations-to-rational-function-fields-2111.10529</loc><lastmod>2021-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/approximation-types-describing-extensions-of-valuations-to-rational-function-fields-2111.10529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/approximation-types-describing-extensions-of-valuations-to-rational-function-fields-2111.10529"/></url>
<url><loc>https://scifaro.com/en/abs/verification-of-the-jacobian-conjecture-for-d-linear-maps-in-two-variables-2111.10739</loc><lastmod>2021-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/verification-of-the-jacobian-conjecture-for-d-linear-maps-in-two-variables-2111.10739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/verification-of-the-jacobian-conjecture-for-d-linear-maps-in-two-variables-2111.10739"/></url>
<url><loc>https://scifaro.com/en/abs/shedding-vertices-and-ass-decomposable-monomial-ideals-2111.10851</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shedding-vertices-and-ass-decomposable-monomial-ideals-2111.10851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shedding-vertices-and-ass-decomposable-monomial-ideals-2111.10851"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-effective-putinar-s-positivstellensatz-and-moment-approximation-2111.11258</loc><lastmod>2023-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-effective-putinar-s-positivstellensatz-and-moment-approximation-2111.11258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-effective-putinar-s-positivstellensatz-and-moment-approximation-2111.11258"/></url>
<url><loc>https://scifaro.com/en/abs/fidelity-results-for-dg-modules-2111.11513</loc><lastmod>2021-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fidelity-results-for-dg-modules-2111.11513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fidelity-results-for-dg-modules-2111.11513"/></url>
<url><loc>https://scifaro.com/en/abs/around-prufer-extensions-of-rings-2111.11978</loc><lastmod>2021-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/around-prufer-extensions-of-rings-2111.11978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/around-prufer-extensions-of-rings-2111.11978"/></url>
<url><loc>https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-2111.12070</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-2111.12070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-2111.12070"/></url>
<url><loc>https://scifaro.com/en/abs/the-mathrm-v-number-of-monomial-ideals-2111.12881</loc><lastmod>2022-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mathrm-v-number-of-monomial-ideals-2111.12881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mathrm-v-number-of-monomial-ideals-2111.12881"/></url>
<url><loc>https://scifaro.com/en/abs/projective-closure-of-affine-monomial-curves-ii-2111.13022</loc><lastmod>2022-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-closure-of-affine-monomial-curves-ii-2111.13022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-closure-of-affine-monomial-curves-ii-2111.13022"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-the-rings-i-i-gorenstein-2111.13338</loc><lastmod>2021-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-the-rings-i-i-gorenstein-2111.13338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-the-rings-i-i-gorenstein-2111.13338"/></url>
<url><loc>https://scifaro.com/en/abs/virtual-criterion-for-generalized-eagon-northcott-complexes-2111.13773</loc><lastmod>2023-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/virtual-criterion-for-generalized-eagon-northcott-complexes-2111.13773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/virtual-criterion-for-generalized-eagon-northcott-complexes-2111.13773"/></url>
<url><loc>https://scifaro.com/en/abs/a-gr-obner-basis-for-schubert-patch-ideals-2111.13778</loc><lastmod>2023-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gr-obner-basis-for-schubert-patch-ideals-2111.13778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gr-obner-basis-for-schubert-patch-ideals-2111.13778"/></url>
<url><loc>https://scifaro.com/en/abs/generators-of-residual-intersections-2111.14009</loc><lastmod>2021-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-of-residual-intersections-2111.14009"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-of-residual-intersections-2111.14009"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-parity-binomial-edge-ideals-2111.14175</loc><lastmod>2021-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-parity-binomial-edge-ideals-2111.14175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-parity-binomial-edge-ideals-2111.14175"/></url>
<url><loc>https://scifaro.com/en/abs/division-in-modules-and-kummer-theory-2111.14363</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/division-in-modules-and-kummer-theory-2111.14363"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/division-in-modules-and-kummer-theory-2111.14363"/></url>
<url><loc>https://scifaro.com/en/abs/zero-cycles-mennicke-symbols-and-mathrm-k-1-stability-of-certain-real-affine-algebras-2111.14384</loc><lastmod>2025-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-cycles-mennicke-symbols-and-mathrm-k-1-stability-of-certain-real-affine-algebras-2111.14384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-cycles-mennicke-symbols-and-mathrm-k-1-stability-of-certain-real-affine-algebras-2111.14384"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-of-local-homology-modules-2111.15337</loc><lastmod>2023-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-of-local-homology-modules-2111.15337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-of-local-homology-modules-2111.15337"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-differential-powers-2111.15653</loc><lastmod>2026-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-differential-powers-2111.15653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-differential-powers-2111.15653"/></url>
<url><loc>https://scifaro.com/en/abs/rigidity-of-ext-and-tor-via-flat-cotorsion-theory-2112.00103</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigidity-of-ext-and-tor-via-flat-cotorsion-theory-2112.00103"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigidity-of-ext-and-tor-via-flat-cotorsion-theory-2112.00103"/></url>
<url><loc>https://scifaro.com/en/abs/hereditary-atomicity-in-integral-domains-2112.00264</loc><lastmod>2021-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hereditary-atomicity-in-integral-domains-2112.00264"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hereditary-atomicity-in-integral-domains-2112.00264"/></url>
<url><loc>https://scifaro.com/en/abs/differential-operators-retracts-and-toric-face-rings-2112.00266</loc><lastmod>2023-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-operators-retracts-and-toric-face-rings-2112.00266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-operators-retracts-and-toric-face-rings-2112.00266"/></url>
<url><loc>https://scifaro.com/en/abs/the-frobenius-problem-for-generalized-repunit-numerical-semigroups-2112.01106</loc><lastmod>2021-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-frobenius-problem-for-generalized-repunit-numerical-semigroups-2112.01106"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-frobenius-problem-for-generalized-repunit-numerical-semigroups-2112.01106"/></url>
<url><loc>https://scifaro.com/en/abs/hopfian-and-co-hopfian-modules-over-artinian-rings-2112.01596</loc><lastmod>2022-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hopfian-and-co-hopfian-modules-over-artinian-rings-2112.01596"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hopfian-and-co-hopfian-modules-over-artinian-rings-2112.01596"/></url>
<url><loc>https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-over-hypersurface-rings-2112.02148</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-over-hypersurface-rings-2112.02148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-over-hypersurface-rings-2112.02148"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-reflexivity-of-modules-2112.02258</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-reflexivity-of-modules-2112.02258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-reflexivity-of-modules-2112.02258"/></url>
<url><loc>https://scifaro.com/en/abs/seminar-on-quillen-s-proof-of-the-quillen-suslin-theorem-2112.02272</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/seminar-on-quillen-s-proof-of-the-quillen-suslin-theorem-2112.02272"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/seminar-on-quillen-s-proof-of-the-quillen-suslin-theorem-2112.02272"/></url>
<url><loc>https://scifaro.com/en/abs/the-first-hilbert-coefficient-of-stretched-ideals-2112.02294</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-first-hilbert-coefficient-of-stretched-ideals-2112.02294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-first-hilbert-coefficient-of-stretched-ideals-2112.02294"/></url>
<url><loc>https://scifaro.com/en/abs/results-on-the-normality-of-square-free-monomial-ideals-and-cover-ideals-under-some-graph-operations-2112.02458</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/results-on-the-normality-of-square-free-monomial-ideals-and-cover-ideals-under-some-graph-operations-2112.02458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/results-on-the-normality-of-square-free-monomial-ideals-and-cover-ideals-under-some-graph-operations-2112.02458"/></url>
<url><loc>https://scifaro.com/en/abs/normally-torsion-free-edge-ideals-of-weighted-oriented-graphs-2112.02645</loc><lastmod>2024-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normally-torsion-free-edge-ideals-of-weighted-oriented-graphs-2112.02645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normally-torsion-free-edge-ideals-of-weighted-oriented-graphs-2112.02645"/></url>
<url><loc>https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-arbitrary-rank-over-a-two-dimensional-regular-local-ring-2112.02885</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-arbitrary-rank-over-a-two-dimensional-regular-local-ring-2112.02885"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-arbitrary-rank-over-a-two-dimensional-regular-local-ring-2112.02885"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-and-hilbert-series-of-a-special-monomial-ideal-2112.02921</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-and-hilbert-series-of-a-special-monomial-ideal-2112.02921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-and-hilbert-series-of-a-special-monomial-ideal-2112.02921"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-the-herzog-hibi-ohsugi-conjecture-and-related-problems-2112.03050</loc><lastmod>2021-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-the-herzog-hibi-ohsugi-conjecture-and-related-problems-2112.03050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-componentwise-linear-ideals-the-herzog-hibi-ohsugi-conjecture-and-related-problems-2112.03050"/></url>
<url><loc>https://scifaro.com/en/abs/rings-with-an-elementary-abelian-p-group-of-units-2112.03853</loc><lastmod>2023-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-with-an-elementary-abelian-p-group-of-units-2112.03853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-with-an-elementary-abelian-p-group-of-units-2112.03853"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-in-reciprocal-puiseux-monoids-2112.04048</loc><lastmod>2021-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-in-reciprocal-puiseux-monoids-2112.04048"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-in-reciprocal-puiseux-monoids-2112.04048"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-teter-type-2112.04237</loc><lastmod>2021-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-teter-type-2112.04237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-teter-type-2112.04237"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-cut-ideals-and-their-betti-numbers-2112.04239</loc><lastmod>2021-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-cut-ideals-and-their-betti-numbers-2112.04239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-cut-ideals-and-their-betti-numbers-2112.04239"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-set-of-trace-ideals-of-a-noetherian-ring-2112.04241</loc><lastmod>2021-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-set-of-trace-ideals-of-a-noetherian-ring-2112.04241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-set-of-trace-ideals-of-a-noetherian-ring-2112.04241"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-of-closed-graphs-2112.04361</loc><lastmod>2022-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-of-closed-graphs-2112.04361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-of-closed-graphs-2112.04361"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-symmetric-ideals-monomial-2112.04464</loc><lastmod>2022-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-symmetric-ideals-monomial-2112.04464"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-symmetric-ideals-monomial-2112.04464"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-binomial-edge-ideals-in-terms-of-diameter-and-vertex-connectivity-2112.04835</loc><lastmod>2024-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-binomial-edge-ideals-in-terms-of-diameter-and-vertex-connectivity-2112.04835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-binomial-edge-ideals-in-terms-of-diameter-and-vertex-connectivity-2112.04835"/></url>
<url><loc>https://scifaro.com/en/abs/the-a-0-invariants-of-powers-of-a-two-dimensional-squarefree-monomial-ideal-2112.04844</loc><lastmod>2022-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-a-0-invariants-of-powers-of-a-two-dimensional-squarefree-monomial-ideal-2112.04844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-a-0-invariants-of-powers-of-a-two-dimensional-squarefree-monomial-ideal-2112.04844"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-categories-over-a-triangular-matrix-ring-and-comma-categories-2112.04862</loc><lastmod>2021-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-categories-over-a-triangular-matrix-ring-and-comma-categories-2112.04862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-categories-over-a-triangular-matrix-ring-and-comma-categories-2112.04862"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-stability-properties-of-powers-of-polymatroidal-ideals-2112.05918</loc><lastmod>2022-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-stability-properties-of-powers-of-polymatroidal-ideals-2112.05918"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-stability-properties-of-powers-of-polymatroidal-ideals-2112.05918"/></url>
<url><loc>https://scifaro.com/en/abs/abstract-vergleichsstellens-atze-for-preordered-semifields-and-semirings-ii-2112.05949</loc><lastmod>2026-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-vergleichsstellens-atze-for-preordered-semifields-and-semirings-ii-2112.05949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-vergleichsstellens-atze-for-preordered-semifields-and-semirings-ii-2112.05949"/></url>
<url><loc>https://scifaro.com/en/abs/the-shift-dimension-of-multipersistence-modules-2112.06509</loc><lastmod>2025-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-shift-dimension-of-multipersistence-modules-2112.06509"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-shift-dimension-of-multipersistence-modules-2112.06509"/></url>
<url><loc>https://scifaro.com/en/abs/gorensteinness-in-rees-algebras-of-powers-of-parameter-ideals-2112.06676</loc><lastmod>2022-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorensteinness-in-rees-algebras-of-powers-of-parameter-ideals-2112.06676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorensteinness-in-rees-algebras-of-powers-of-parameter-ideals-2112.06676"/></url>
<url><loc>https://scifaro.com/en/abs/parameterized-codes-over-graphs-2112.07297</loc><lastmod>2021-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parameterized-codes-over-graphs-2112.07297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parameterized-codes-over-graphs-2112.07297"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-of-generic-polynomials-2112.08864</loc><lastmod>2022-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-of-generic-polynomials-2112.08864"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-of-generic-polynomials-2112.08864"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-expansion-for-saturated-and-symbolic-powers-of-sums-of-ideals-2112.09338</loc><lastmod>2021-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-expansion-for-saturated-and-symbolic-powers-of-sums-of-ideals-2112.09338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-expansion-for-saturated-and-symbolic-powers-of-sums-of-ideals-2112.09338"/></url>
<url><loc>https://scifaro.com/en/abs/hk-multiplicity-f-threshold-and-the-paley-wiener-theorem-2112.09377</loc><lastmod>2022-09-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hk-multiplicity-f-threshold-and-the-paley-wiener-theorem-2112.09377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hk-multiplicity-f-threshold-and-the-paley-wiener-theorem-2112.09377"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lefschetz-property-for-quotients-by-monomial-ideals-containing-squares-of-variables-2112.09434</loc><lastmod>2024-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lefschetz-property-for-quotients-by-monomial-ideals-containing-squares-of-variables-2112.09434"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lefschetz-property-for-quotients-by-monomial-ideals-containing-squares-of-variables-2112.09434"/></url>
<url><loc>https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-module-and-its-deficiency-modules-2112.09724</loc><lastmod>2022-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-module-and-its-deficiency-modules-2112.09724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-and-betti-numbers-of-a-module-and-its-deficiency-modules-2112.09724"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-lech-independent-ideals-and-lech-s-conjecture-2112.09849</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-lech-independent-ideals-and-lech-s-conjecture-2112.09849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-lech-independent-ideals-and-lech-s-conjecture-2112.09849"/></url>
<url><loc>https://scifaro.com/en/abs/almost-cohen-macaulay-bipartite-graphs-and-connected-in-codimension-two-2112.10062</loc><lastmod>2021-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-cohen-macaulay-bipartite-graphs-and-connected-in-codimension-two-2112.10062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-cohen-macaulay-bipartite-graphs-and-connected-in-codimension-two-2112.10062"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-non-primality-of-certain-symmetric-ideals-2112.10207</loc><lastmod>2021-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-non-primality-of-certain-symmetric-ideals-2112.10207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-non-primality-of-certain-symmetric-ideals-2112.10207"/></url>
<url><loc>https://scifaro.com/en/abs/skew-power-series-rings-over-a-prime-base-ring-2112.10242</loc><lastmod>2023-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/skew-power-series-rings-over-a-prime-base-ring-2112.10242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/skew-power-series-rings-over-a-prime-base-ring-2112.10242"/></url>
<url><loc>https://scifaro.com/en/abs/subresultants-and-the-shape-lemma-2112.10306</loc><lastmod>2023-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subresultants-and-the-shape-lemma-2112.10306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subresultants-and-the-shape-lemma-2112.10306"/></url>
<url><loc>https://scifaro.com/en/abs/some-homological-properties-of-borel-type-ideals-2112.11726</loc><lastmod>2021-12-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-homological-properties-of-borel-type-ideals-2112.11726"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-homological-properties-of-borel-type-ideals-2112.11726"/></url>
<url><loc>https://scifaro.com/en/abs/no-short-polynomials-vanish-on-bounded-rank-matrices-2112.11764</loc><lastmod>2023-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/no-short-polynomials-vanish-on-bounded-rank-matrices-2112.11764"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/no-short-polynomials-vanish-on-bounded-rank-matrices-2112.11764"/></url>
<url><loc>https://scifaro.com/en/abs/regular-sequences-on-squares-of-monomial-ideals-2112.12305</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-sequences-on-squares-of-monomial-ideals-2112.12305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-sequences-on-squares-of-monomial-ideals-2112.12305"/></url>
<url><loc>https://scifaro.com/en/abs/a-formula-for-symbolic-powers-2112.12588</loc><lastmod>2022-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formula-for-symbolic-powers-2112.12588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formula-for-symbolic-powers-2112.12588"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-local-duality-canonical-modules-and-prescribed-bound-on-projective-dimension-2112.12632</loc><lastmod>2022-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-local-duality-canonical-modules-and-prescribed-bound-on-projective-dimension-2112.12632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-local-duality-canonical-modules-and-prescribed-bound-on-projective-dimension-2112.12632"/></url>
<url><loc>https://scifaro.com/en/abs/isotropy-subgroups-of-some-almost-rigid-domains-2112.13220</loc><lastmod>2022-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/isotropy-subgroups-of-some-almost-rigid-domains-2112.13220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/isotropy-subgroups-of-some-almost-rigid-domains-2112.13220"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-minimal-prime-ideals-in-local-rings-2112.13278</loc><lastmod>2021-12-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-minimal-prime-ideals-in-local-rings-2112.13278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-minimal-prime-ideals-in-local-rings-2112.13278"/></url>
<url><loc>https://scifaro.com/en/abs/krull-gabriel-dimension-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-2112.13504</loc><lastmod>2021-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krull-gabriel-dimension-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-2112.13504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krull-gabriel-dimension-of-cohen-macaulay-modules-over-hypersurfaces-of-countable-cohen-macaulay-representation-type-2112.13504"/></url>
<url><loc>https://scifaro.com/en/abs/a-henselian-preparation-theorem-2112.13552</loc><lastmod>2024-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-henselian-preparation-theorem-2112.13552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-henselian-preparation-theorem-2112.13552"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-anisotropy-and-lefschetz-property-for-pl-spheres-2112.14493</loc><lastmod>2022-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-anisotropy-and-lefschetz-property-for-pl-spheres-2112.14493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-anisotropy-and-lefschetz-property-for-pl-spheres-2112.14493"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-generated-saturated-multi-rees-algebras-2112.14587</loc><lastmod>2024-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-generated-saturated-multi-rees-algebras-2112.14587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-generated-saturated-multi-rees-algebras-2112.14587"/></url>
<url><loc>https://scifaro.com/en/abs/reducibility-of-a-family-of-local-artinian-gorenstein-algebras-2112.14664</loc><lastmod>2021-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducibility-of-a-family-of-local-artinian-gorenstein-algebras-2112.14664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducibility-of-a-family-of-local-artinian-gorenstein-algebras-2112.14664"/></url>
<url><loc>https://scifaro.com/en/abs/abstract-key-polynomials-and-distinguished-pairs-2112.15123</loc><lastmod>2022-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-distinguished-pairs-2112.15123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-distinguished-pairs-2112.15123"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-generalized-binomial-edge-ideals-2112.15136</loc><lastmod>2023-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-generalized-binomial-edge-ideals-2112.15136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-generalized-binomial-edge-ideals-2112.15136"/></url>
<url><loc>https://scifaro.com/en/abs/subcomplexes-of-certain-free-resolutions-2112.15137</loc><lastmod>2024-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subcomplexes-of-certain-free-resolutions-2112.15137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subcomplexes-of-certain-free-resolutions-2112.15137"/></url>
<url><loc>https://scifaro.com/en/abs/chudnovsky-s-conjecture-and-the-stable-harbourne-huneke-containment-for-general-points-2112.15260</loc><lastmod>2022-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chudnovsky-s-conjecture-and-the-stable-harbourne-huneke-containment-for-general-points-2112.15260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chudnovsky-s-conjecture-and-the-stable-harbourne-huneke-containment-for-general-points-2112.15260"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-monomial-ideals-with-characteristic-dependent-betti-numbers-2201.00571</loc><lastmod>2022-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-with-characteristic-dependent-betti-numbers-2201.00571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-monomial-ideals-with-characteristic-dependent-betti-numbers-2201.00571"/></url>
<url><loc>https://scifaro.com/en/abs/on-product-decomposition-2201.00653</loc><lastmod>2022-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-product-decomposition-2201.00653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-product-decomposition-2201.00653"/></url>
<url><loc>https://scifaro.com/en/abs/on-reduced-g-perfection-and-horizontal-linkage-relative-to-a-semidualizing-module-2201.00847</loc><lastmod>2022-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-reduced-g-perfection-and-horizontal-linkage-relative-to-a-semidualizing-module-2201.00847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-reduced-g-perfection-and-horizontal-linkage-relative-to-a-semidualizing-module-2201.00847"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-and-rigidity-of-ulrich-modules-and-some-applications-2201.00984</loc><lastmod>2023-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-and-rigidity-of-ulrich-modules-and-some-applications-2201.00984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-and-rigidity-of-ulrich-modules-and-some-applications-2201.00984"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-co-homology-of-burch-and-related-submodules-2201.01023</loc><lastmod>2023-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-co-homology-of-burch-and-related-submodules-2201.01023"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-co-homology-of-burch-and-related-submodules-2201.01023"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-primality-and-elasticity-of-algebraic-valuations-of-cyclic-free-semirings-2201.01245</loc><lastmod>2022-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-primality-and-elasticity-of-algebraic-valuations-of-cyclic-free-semirings-2201.01245"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-primality-and-elasticity-of-algebraic-valuations-of-cyclic-free-semirings-2201.01245"/></url>
<url><loc>https://scifaro.com/en/abs/on-m-o-ore-determinants-2201.02361</loc><lastmod>2022-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-m-o-ore-determinants-2201.02361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-m-o-ore-determinants-2201.02361"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-theory-of-generalized-ulrich-modules-2201.02398</loc><lastmod>2023-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-theory-of-generalized-ulrich-modules-2201.02398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-theory-of-generalized-ulrich-modules-2201.02398"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-poincar-e-function-and-hilbert-kunz-multiplicity-2201.02717</loc><lastmod>2024-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-poincar-e-function-and-hilbert-kunz-multiplicity-2201.02717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-poincar-e-function-and-hilbert-kunz-multiplicity-2201.02717"/></url>
<url><loc>https://scifaro.com/en/abs/functional-degrees-and-arithmetic-applications-i-the-set-of-functional-degrees-2201.02763</loc><lastmod>2022-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/functional-degrees-and-arithmetic-applications-i-the-set-of-functional-degrees-2201.02763"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/functional-degrees-and-arithmetic-applications-i-the-set-of-functional-degrees-2201.02763"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-on-the-punctured-spectrum-and-nearly-gorenstein-property-of-the-ehrhart-ring-of-the-stable-set-polytope-of-an-h-perfect-graph-2201.02957</loc><lastmod>2022-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-on-the-punctured-spectrum-and-nearly-gorenstein-property-of-the-ehrhart-ring-of-the-stable-set-polytope-of-an-h-perfect-graph-2201.02957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-on-the-punctured-spectrum-and-nearly-gorenstein-property-of-the-ehrhart-ring-of-the-stable-set-polytope-of-an-h-perfect-graph-2201.02957"/></url>
<url><loc>https://scifaro.com/en/abs/restricted-minimum-condition-in-reduced-commutative-rings-2201.03921</loc><lastmod>2024-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restricted-minimum-condition-in-reduced-commutative-rings-2201.03921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restricted-minimum-condition-in-reduced-commutative-rings-2201.03921"/></url>
<url><loc>https://scifaro.com/en/abs/melkersson-condition-for-extension-of-serre-subcategories-2201.03927</loc><lastmod>2022-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/melkersson-condition-for-extension-of-serre-subcategories-2201.03927"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/melkersson-condition-for-extension-of-serre-subcategories-2201.03927"/></url>
<url><loc>https://scifaro.com/en/abs/the-principal-component-of-the-jets-of-a-graph-2201.04164</loc><lastmod>2022-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-principal-component-of-the-jets-of-a-graph-2201.04164"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-principal-component-of-the-jets-of-a-graph-2201.04164"/></url>
<url><loc>https://scifaro.com/en/abs/a-semigroup-defining-the-gr-obner-degeneration-of-a-toric-ideal-2201.04220</loc><lastmod>2023-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-semigroup-defining-the-gr-obner-degeneration-of-a-toric-ideal-2201.04220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-semigroup-defining-the-gr-obner-degeneration-of-a-toric-ideal-2201.04220"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-cofiniteness-of-modules-2201.04251</loc><lastmod>2022-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-cofiniteness-of-modules-2201.04251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-cofiniteness-of-modules-2201.04251"/></url>
<url><loc>https://scifaro.com/en/abs/shifting-operations-and-completely-t-spread-lexsegment-ideals-2201.04595</loc><lastmod>2022-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shifting-operations-and-completely-t-spread-lexsegment-ideals-2201.04595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shifting-operations-and-completely-t-spread-lexsegment-ideals-2201.04595"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-fans-of-specht-ideals-2201.05325</loc><lastmod>2023-08-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-fans-of-specht-ideals-2201.05325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-fans-of-specht-ideals-2201.05325"/></url>
<url><loc>https://scifaro.com/en/abs/on-serre-dimension-of-monoid-algebras-and-segre-extensions-2201.06364</loc><lastmod>2022-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-serre-dimension-of-monoid-algebras-and-segre-extensions-2201.06364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-serre-dimension-of-monoid-algebras-and-segre-extensions-2201.06364"/></url>
<url><loc>https://scifaro.com/en/abs/vertex-decomposability-and-weakly-polymatroidal-ideals-2201.06756</loc><lastmod>2024-10-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vertex-decomposability-and-weakly-polymatroidal-ideals-2201.06756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vertex-decomposability-and-weakly-polymatroidal-ideals-2201.06756"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-jump-loci-and-duality-in-local-algebra-2201.06762</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-jump-loci-and-duality-in-local-algebra-2201.06762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-jump-loci-and-duality-in-local-algebra-2201.06762"/></url>
<url><loc>https://scifaro.com/en/abs/aichinger-equation-on-commutative-semigroups-2201.07797</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/aichinger-equation-on-commutative-semigroups-2201.07797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/aichinger-equation-on-commutative-semigroups-2201.07797"/></url>
<url><loc>https://scifaro.com/en/abs/uniformly-s-noetherian-rings-2201.07913</loc><lastmod>2022-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniformly-s-noetherian-rings-2201.07913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniformly-s-noetherian-rings-2201.07913"/></url>
<url><loc>https://scifaro.com/en/abs/freiman-borel-type-ideals-2201.08240</loc><lastmod>2022-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freiman-borel-type-ideals-2201.08240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freiman-borel-type-ideals-2201.08240"/></url>
<url><loc>https://scifaro.com/en/abs/semigroup-rings-as-weakly-krull-domains-2201.09537</loc><lastmod>2022-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semigroup-rings-as-weakly-krull-domains-2201.09537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semigroup-rings-as-weakly-krull-domains-2201.09537"/></url>
<url><loc>https://scifaro.com/en/abs/co-hopfian-modules-2201.09961</loc><lastmod>2022-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/co-hopfian-modules-2201.09961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/co-hopfian-modules-2201.09961"/></url>
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<url><loc>https://scifaro.com/en/abs/linearity-of-free-resolutions-of-monomial-ideals-2201.11263</loc><lastmod>2022-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linearity-of-free-resolutions-of-monomial-ideals-2201.11263"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linearity-of-free-resolutions-of-monomial-ideals-2201.11263"/></url>
<url><loc>https://scifaro.com/en/abs/a-simple-and-constructive-proof-to-a-generalization-of-l-uroth-s-theorem-2201.11733</loc><lastmod>2022-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-simple-and-constructive-proof-to-a-generalization-of-l-uroth-s-theorem-2201.11733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-simple-and-constructive-proof-to-a-generalization-of-l-uroth-s-theorem-2201.11733"/></url>
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<url><loc>https://scifaro.com/en/abs/the-trace-property-in-preenveloping-classes-2202.03554</loc><lastmod>2023-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-trace-property-in-preenveloping-classes-2202.03554"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-trace-property-in-preenveloping-classes-2202.03554"/></url>
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<url><loc>https://scifaro.com/en/abs/detecting-golodness-via-gr-obner-degeneration-2202.04260</loc><lastmod>2022-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/detecting-golodness-via-gr-obner-degeneration-2202.04260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/detecting-golodness-via-gr-obner-degeneration-2202.04260"/></url>
<url><loc>https://scifaro.com/en/abs/saturation-and-vanishing-ideals-2202.04683</loc><lastmod>2023-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/saturation-and-vanishing-ideals-2202.04683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/saturation-and-vanishing-ideals-2202.04683"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-a-conjecture-of-huneke-and-wiegand-and-the-vanishing-of-co-homology-2202.04792</loc><lastmod>2022-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-a-conjecture-of-huneke-and-wiegand-and-the-vanishing-of-co-homology-2202.04792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-a-conjecture-of-huneke-and-wiegand-and-the-vanishing-of-co-homology-2202.04792"/></url>
<url><loc>https://scifaro.com/en/abs/strong-persistence-and-associated-prime-of-powers-of-monomial-ideals-2202.05319</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-persistence-and-associated-prime-of-powers-of-monomial-ideals-2202.05319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-persistence-and-associated-prime-of-powers-of-monomial-ideals-2202.05319"/></url>
<url><loc>https://scifaro.com/en/abs/galois-actions-for-semifield-extensions-and-galois-coverings-on-tropical-curves-2202.05341</loc><lastmod>2022-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/galois-actions-for-semifield-extensions-and-galois-coverings-on-tropical-curves-2202.05341"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/galois-actions-for-semifield-extensions-and-galois-coverings-on-tropical-curves-2202.05341"/></url>
<url><loc>https://scifaro.com/en/abs/construction-du-hens-elis-e-d-un-corps-valu-e-2202.05503</loc><lastmod>2022-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-du-hens-elis-e-d-un-corps-valu-e-2202.05503"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-du-hens-elis-e-d-un-corps-valu-e-2202.05503"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-taylor-formulae-computations-in-real-closed-valued-fields-and-quantifier-elimination-2202.05504</loc><lastmod>2022-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-taylor-formulae-computations-in-real-closed-valued-fields-and-quantifier-elimination-2202.05504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-taylor-formulae-computations-in-real-closed-valued-fields-and-quantifier-elimination-2202.05504"/></url>
<url><loc>https://scifaro.com/en/abs/dynamic-computations-inside-the-algebraic-closure-of-a-valued-field-2202.05512</loc><lastmod>2024-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dynamic-computations-inside-the-algebraic-closure-of-a-valued-field-2202.05512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dynamic-computations-inside-the-algebraic-closure-of-a-valued-field-2202.05512"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-variety-for-2x2-matrix-invariants-2202.05717</loc><lastmod>2022-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-variety-for-2x2-matrix-invariants-2202.05717"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-variety-for-2x2-matrix-invariants-2202.05717"/></url>
<url><loc>https://scifaro.com/en/abs/the-duals-of-annihilator-conditions-for-modules-2202.05739</loc><lastmod>2022-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-duals-of-annihilator-conditions-for-modules-2202.05739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-duals-of-annihilator-conditions-for-modules-2202.05739"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-question-of-moshe-roitman-and-euler-class-of-stably-free-module-2202.06291</loc><lastmod>2023-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-question-of-moshe-roitman-and-euler-class-of-stably-free-module-2202.06291"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-question-of-moshe-roitman-and-euler-class-of-stably-free-module-2202.06291"/></url>
<url><loc>https://scifaro.com/en/abs/a-comparison-of-hochschild-homology-in-algebraic-and-smooth-settings-2202.06573</loc><lastmod>2024-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-comparison-of-hochschild-homology-in-algebraic-and-smooth-settings-2202.06573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-comparison-of-hochschild-homology-in-algebraic-and-smooth-settings-2202.06573"/></url>
<url><loc>https://scifaro.com/en/abs/elementary-constructive-theory-of-henselian-local-rings-2202.06595</loc><lastmod>2025-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-constructive-theory-of-henselian-local-rings-2202.06595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-constructive-theory-of-henselian-local-rings-2202.06595"/></url>
<url><loc>https://scifaro.com/en/abs/new-examples-of-radical-join-meet-ideals-2202.06822</loc><lastmod>2022-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-examples-of-radical-join-meet-ideals-2202.06822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-examples-of-radical-join-meet-ideals-2202.06822"/></url>
<url><loc>https://scifaro.com/en/abs/degree-and-regularity-of-eulerian-ideals-of-hypergraphs-2202.07000</loc><lastmod>2022-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-and-regularity-of-eulerian-ideals-of-hypergraphs-2202.07000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-and-regularity-of-eulerian-ideals-of-hypergraphs-2202.07000"/></url>
<url><loc>https://scifaro.com/en/abs/separating-monomials-for-diagonalizable-actions-2202.07002</loc><lastmod>2022-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-monomials-for-diagonalizable-actions-2202.07002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-monomials-for-diagonalizable-actions-2202.07002"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-primes-associated-with-polynomial-parametrisations-2202.07696</loc><lastmod>2022-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-primes-associated-with-polynomial-parametrisations-2202.07696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-primes-associated-with-polynomial-parametrisations-2202.07696"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-bounded-continuous-functions-2202.08334</loc><lastmod>2022-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-bounded-continuous-functions-2202.08334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-bounded-continuous-functions-2202.08334"/></url>
<url><loc>https://scifaro.com/en/abs/dimensions-on-lattice-ordered-abelian-groups-and-model-theory-of-modules-over-pr-ufer-domains-2202.08339</loc><lastmod>2022-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimensions-on-lattice-ordered-abelian-groups-and-model-theory-of-modules-over-pr-ufer-domains-2202.08339"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimensions-on-lattice-ordered-abelian-groups-and-model-theory-of-modules-over-pr-ufer-domains-2202.08339"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-cyclotomic-derivations-2202.08760</loc><lastmod>2022-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-cyclotomic-derivations-2202.08760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-cyclotomic-derivations-2202.08760"/></url>
<url><loc>https://scifaro.com/en/abs/the-waring-rank-of-ternary-cubic-forms-2202.08932</loc><lastmod>2022-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-waring-rank-of-ternary-cubic-forms-2202.08932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-waring-rank-of-ternary-cubic-forms-2202.08932"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-annihilator-theorem-and-almost-cohen-macaulay-rings-2202.09528</loc><lastmod>2022-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-annihilator-theorem-and-almost-cohen-macaulay-rings-2202.09528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-annihilator-theorem-and-almost-cohen-macaulay-rings-2202.09528"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-and-dimensions-of-the-singularity-category-2202.09584</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-and-dimensions-of-the-singularity-category-2202.09584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-and-dimensions-of-the-singularity-category-2202.09584"/></url>
<url><loc>https://scifaro.com/en/abs/finite-distributive-lattices-polyominoes-and-ideals-of-k-onig-type-2202.09643</loc><lastmod>2022-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-distributive-lattices-polyominoes-and-ideals-of-k-onig-type-2202.09643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-distributive-lattices-polyominoes-and-ideals-of-k-onig-type-2202.09643"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolutions-and-quasi-linearity-of-monomial-ideals-2202.10147</loc><lastmod>2023-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolutions-and-quasi-linearity-of-monomial-ideals-2202.10147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolutions-and-quasi-linearity-of-monomial-ideals-2202.10147"/></url>
<url><loc>https://scifaro.com/en/abs/torsionfreeness-for-divisor-class-groups-of-toric-rings-of-integral-polytopes-2202.10686</loc><lastmod>2022-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsionfreeness-for-divisor-class-groups-of-toric-rings-of-integral-polytopes-2202.10686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsionfreeness-for-divisor-class-groups-of-toric-rings-of-integral-polytopes-2202.10686"/></url>
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<url><loc>https://scifaro.com/en/abs/some-results-on-homogeneous-locally-nilpotent-r-derivations-on-r-x-y-z-2202.12630</loc><lastmod>2024-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-homogeneous-locally-nilpotent-r-derivations-on-r-x-y-z-2202.12630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-homogeneous-locally-nilpotent-r-derivations-on-r-x-y-z-2202.12630"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-the-depth-of-second-power-of-edge-ideals-2202.12661</loc><lastmod>2022-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-the-depth-of-second-power-of-edge-ideals-2202.12661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-the-depth-of-second-power-of-edge-ideals-2202.12661"/></url>
<url><loc>https://scifaro.com/en/abs/unboundedness-of-the-first-and-the-last-betti-numbers-of-numerical-semigroups-generated-by-concatenation-2202.12909</loc><lastmod>2022-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unboundedness-of-the-first-and-the-last-betti-numbers-of-numerical-semigroups-generated-by-concatenation-2202.12909"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unboundedness-of-the-first-and-the-last-betti-numbers-of-numerical-semigroups-generated-by-concatenation-2202.12909"/></url>
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<url><loc>https://scifaro.com/en/abs/on-stable-and-fixed-polynomials-2203.00576</loc><lastmod>2022-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stable-and-fixed-polynomials-2203.00576"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stable-and-fixed-polynomials-2203.00576"/></url>
<url><loc>https://scifaro.com/en/abs/the-complete-picard-vessiot-closure-2203.00705</loc><lastmod>2022-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-complete-picard-vessiot-closure-2203.00705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-complete-picard-vessiot-closure-2203.00705"/></url>
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<url><loc>https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-edge-ideals-and-its-alexander-dual-2203.01710</loc><lastmod>2022-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-edge-ideals-and-its-alexander-dual-2203.01710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-edge-ideals-and-its-alexander-dual-2203.01710"/></url>
<url><loc>https://scifaro.com/en/abs/the-cartier-core-map-for-cartier-algebras-2203.01911</loc><lastmod>2023-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cartier-core-map-for-cartier-algebras-2203.01911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cartier-core-map-for-cartier-algebras-2203.01911"/></url>
<url><loc>https://scifaro.com/en/abs/a-rigidity-theorem-for-ext-2203.01991</loc><lastmod>2022-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-rigidity-theorem-for-ext-2203.01991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-rigidity-theorem-for-ext-2203.01991"/></url>
<url><loc>https://scifaro.com/en/abs/essential-ideals-represented-by-mod-annihilators-of-modules-2203.02463</loc><lastmod>2022-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essential-ideals-represented-by-mod-annihilators-of-modules-2203.02463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essential-ideals-represented-by-mod-annihilators-of-modules-2203.02463"/></url>
<url><loc>https://scifaro.com/en/abs/integral-domains-and-the-idf-property-2203.02640</loc><lastmod>2022-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-domains-and-the-idf-property-2203.02640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-domains-and-the-idf-property-2203.02640"/></url>
<url><loc>https://scifaro.com/en/abs/zero-divisor-graphs-and-zero-divisor-functors-2203.02952</loc><lastmod>2022-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zero-divisor-graphs-and-zero-divisor-functors-2203.02952"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zero-divisor-graphs-and-zero-divisor-functors-2203.02952"/></url>
<url><loc>https://scifaro.com/en/abs/sigma-semi-compact-rings-and-modules-2203.03255</loc><lastmod>2022-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sigma-semi-compact-rings-and-modules-2203.03255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sigma-semi-compact-rings-and-modules-2203.03255"/></url>
<url><loc>https://scifaro.com/en/abs/on-1-semiregular-and-2-semiregular-rings-2203.03262</loc><lastmod>2022-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-1-semiregular-and-2-semiregular-rings-2203.03262"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-1-semiregular-and-2-semiregular-rings-2203.03262"/></url>
<url><loc>https://scifaro.com/en/abs/the-charney-davis-conjecture-for-simple-thin-polyominoes-2203.03487</loc><lastmod>2022-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-charney-davis-conjecture-for-simple-thin-polyominoes-2203.03487"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-charney-davis-conjecture-for-simple-thin-polyominoes-2203.03487"/></url>
<url><loc>https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-i-the-exterior-algebra-2203.03693</loc><lastmod>2024-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-i-the-exterior-algebra-2203.03693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-i-the-exterior-algebra-2203.03693"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ideal-avoidance-property-2203.04256</loc><lastmod>2023-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ideal-avoidance-property-2203.04256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ideal-avoidance-property-2203.04256"/></url>
<url><loc>https://scifaro.com/en/abs/the-set-of-trace-ideals-of-curve-singularities-2203.04469</loc><lastmod>2022-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-set-of-trace-ideals-of-curve-singularities-2203.04469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-set-of-trace-ideals-of-curve-singularities-2203.04469"/></url>
<url><loc>https://scifaro.com/en/abs/vector-spread-monomial-ideals-and-eliahou-kervaire-type-resolutions-2203.04625</loc><lastmod>2022-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-spread-monomial-ideals-and-eliahou-kervaire-type-resolutions-2203.04625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-spread-monomial-ideals-and-eliahou-kervaire-type-resolutions-2203.04625"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-in-terms-of-blocks-with-whiskers-2203.04652</loc><lastmod>2022-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-in-terms-of-blocks-with-whiskers-2203.04652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-in-terms-of-blocks-with-whiskers-2203.04652"/></url>
<url><loc>https://scifaro.com/en/abs/s-1-absorbing-primary-submodules-2203.04690</loc><lastmod>2022-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-1-absorbing-primary-submodules-2203.04690"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-1-absorbing-primary-submodules-2203.04690"/></url>
<url><loc>https://scifaro.com/en/abs/reductions-towards-a-characteristic-free-proof-of-the-canonical-element-theorem-2203.05327</loc><lastmod>2023-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reductions-towards-a-characteristic-free-proof-of-the-canonical-element-theorem-2203.05327"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reductions-towards-a-characteristic-free-proof-of-the-canonical-element-theorem-2203.05327"/></url>
<url><loc>https://scifaro.com/en/abs/analytic-spread-of-filtrations-on-two-dimensional-normal-local-rings-2203.05935</loc><lastmod>2022-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analytic-spread-of-filtrations-on-two-dimensional-normal-local-rings-2203.05935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analytic-spread-of-filtrations-on-two-dimensional-normal-local-rings-2203.05935"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-lech-s-inequality-2203.06739</loc><lastmod>2023-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-lech-s-inequality-2203.06739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-lech-s-inequality-2203.06739"/></url>
<url><loc>https://scifaro.com/en/abs/total-of-each-of-the-1-th-and-2-th-betti-numbers-of-the-join-meet-ideal-of-special-crystal-lattice-2203.06939</loc><lastmod>2022-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/total-of-each-of-the-1-th-and-2-th-betti-numbers-of-the-join-meet-ideal-of-special-crystal-lattice-2203.06939"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/total-of-each-of-the-1-th-and-2-th-betti-numbers-of-the-join-meet-ideal-of-special-crystal-lattice-2203.06939"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-castelnuovo-mumford-regularity-of-t-spread-ideals-2203.07084</loc><lastmod>2024-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-castelnuovo-mumford-regularity-of-t-spread-ideals-2203.07084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-castelnuovo-mumford-regularity-of-t-spread-ideals-2203.07084"/></url>
<url><loc>https://scifaro.com/en/abs/cohomological-supports-of-tensor-products-of-modules-over-commutative-rings-2203.07174</loc><lastmod>2022-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomological-supports-of-tensor-products-of-modules-over-commutative-rings-2203.07174"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomological-supports-of-tensor-products-of-modules-over-commutative-rings-2203.07174"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-infinitely-generated-locus-of-frobenius-algebras-of-rings-of-prime-characteristic-2203.08511</loc><lastmod>2023-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-infinitely-generated-locus-of-frobenius-algebras-of-rings-of-prime-characteristic-2203.08511"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-infinitely-generated-locus-of-frobenius-algebras-of-rings-of-prime-characteristic-2203.08511"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-certain-graphs-2203.08572</loc><lastmod>2022-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-certain-graphs-2203.08572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-powers-of-certain-graphs-2203.08572"/></url>
<url><loc>https://scifaro.com/en/abs/radical-support-for-multigraded-ideals-2203.08732</loc><lastmod>2022-03-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-support-for-multigraded-ideals-2203.08732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-support-for-multigraded-ideals-2203.08732"/></url>
<url><loc>https://scifaro.com/en/abs/permanence-properties-of-splinters-via-ultrapower-2203.09019</loc><lastmod>2022-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/permanence-properties-of-splinters-via-ultrapower-2203.09019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/permanence-properties-of-splinters-via-ultrapower-2203.09019"/></url>
<url><loc>https://scifaro.com/en/abs/condensed-domains-and-the-d-xl-x-construction-2203.09171</loc><lastmod>2022-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/condensed-domains-and-the-d-xl-x-construction-2203.09171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/condensed-domains-and-the-d-xl-x-construction-2203.09171"/></url>
<url><loc>https://scifaro.com/en/abs/a-necessary-and-sufficient-condition-for-the-existence-of-non-trivial-s-n-invariants-in-the-splitting-algebra-2203.09342</loc><lastmod>2022-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-necessary-and-sufficient-condition-for-the-existence-of-non-trivial-s-n-invariants-in-the-splitting-algebra-2203.09342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-necessary-and-sufficient-condition-for-the-existence-of-non-trivial-s-n-invariants-in-the-splitting-algebra-2203.09342"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-spaces-an-extension-of-structure-spaces-of-rings-2203.09586</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-spaces-an-extension-of-structure-spaces-of-rings-2203.09586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-spaces-an-extension-of-structure-spaces-of-rings-2203.09586"/></url>
<url><loc>https://scifaro.com/en/abs/generic-lines-in-projective-space-and-the-koszul-property-2203.09648</loc><lastmod>2022-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-lines-in-projective-space-and-the-koszul-property-2203.09648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-lines-in-projective-space-and-the-koszul-property-2203.09648"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-methods-in-combinatorics-2203.09902</loc><lastmod>2022-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-methods-in-combinatorics-2203.09902"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-methods-in-combinatorics-2203.09902"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-and-critical-values-the-asymptotic-combinatorics-of-determinantal-systems-2203.10021</loc><lastmod>2022-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-critical-values-the-asymptotic-combinatorics-of-determinantal-systems-2203.10021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-critical-values-the-asymptotic-combinatorics-of-determinantal-systems-2203.10021"/></url>
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<url><loc>https://scifaro.com/en/abs/remarks-on-the-small-cohen-macaulay-conjecture-and-new-instances-of-maximal-cohen-macaulay-modules-2203.10368</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-the-small-cohen-macaulay-conjecture-and-new-instances-of-maximal-cohen-macaulay-modules-2203.10368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-the-small-cohen-macaulay-conjecture-and-new-instances-of-maximal-cohen-macaulay-modules-2203.10368"/></url>
<url><loc>https://scifaro.com/en/abs/proper-spaces-are-spectral-2203.10967</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proper-spaces-are-spectral-2203.10967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proper-spaces-are-spectral-2203.10967"/></url>
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<url><loc>https://scifaro.com/en/abs/open-covers-and-lex-points-of-hilbert-schemes-over-quotient-rings-via-relative-marked-bases-2203.11770</loc><lastmod>2024-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/open-covers-and-lex-points-of-hilbert-schemes-over-quotient-rings-via-relative-marked-bases-2203.11770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/open-covers-and-lex-points-of-hilbert-schemes-over-quotient-rings-via-relative-marked-bases-2203.11770"/></url>
<url><loc>https://scifaro.com/en/abs/a-gl-equivariant-complex-inducing-character-identities-for-schur-modules-2203.13119</loc><lastmod>2022-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-gl-equivariant-complex-inducing-character-identities-for-schur-modules-2203.13119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-gl-equivariant-complex-inducing-character-identities-for-schur-modules-2203.13119"/></url>
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<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-crystal-module-2203.14744</loc><lastmod>2022-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-crystal-module-2203.14744"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-crystal-module-2203.14744"/></url>
<url><loc>https://scifaro.com/en/abs/on-chevalley-s-extension-theorem-2203.14935</loc><lastmod>2022-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-chevalley-s-extension-theorem-2203.14935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-chevalley-s-extension-theorem-2203.14935"/></url>
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<url><loc>https://scifaro.com/en/abs/few-remarks-on-essential-modules-2204.01239</loc><lastmod>2022-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/few-remarks-on-essential-modules-2204.01239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/few-remarks-on-essential-modules-2204.01239"/></url>
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<url><loc>https://scifaro.com/en/abs/freeness-criteria-via-vanishing-of-tor-2204.02871</loc><lastmod>2024-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/freeness-criteria-via-vanishing-of-tor-2204.02871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/freeness-criteria-via-vanishing-of-tor-2204.02871"/></url>
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<url><loc>https://scifaro.com/en/abs/valuations-with-infinite-limit-depth-2204.03365</loc><lastmod>2022-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuations-with-infinite-limit-depth-2204.03365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuations-with-infinite-limit-depth-2204.03365"/></url>
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<url><loc>https://scifaro.com/en/abs/symbolic-defects-of-edge-ideals-of-unicyclic-graphs-2204.05489</loc><lastmod>2022-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-defects-of-edge-ideals-of-unicyclic-graphs-2204.05489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-defects-of-edge-ideals-of-unicyclic-graphs-2204.05489"/></url>
<url><loc>https://scifaro.com/en/abs/images-of-locally-finite-mathcal-e-derivations-of-bivariate-polynomial-algebras-2204.05800</loc><lastmod>2023-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/images-of-locally-finite-mathcal-e-derivations-of-bivariate-polynomial-algebras-2204.05800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/images-of-locally-finite-mathcal-e-derivations-of-bivariate-polynomial-algebras-2204.05800"/></url>
<url><loc>https://scifaro.com/en/abs/formal-laurent-series-rings-and-the-hermite-ring-conjecture-2204.06303</loc><lastmod>2022-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formal-laurent-series-rings-and-the-hermite-ring-conjecture-2204.06303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formal-laurent-series-rings-and-the-hermite-ring-conjecture-2204.06303"/></url>
<url><loc>https://scifaro.com/en/abs/on-chains-associated-with-abstract-key-polynomials-2204.06428</loc><lastmod>2022-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-chains-associated-with-abstract-key-polynomials-2204.06428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-chains-associated-with-abstract-key-polynomials-2204.06428"/></url>
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<url><loc>https://scifaro.com/en/abs/independent-sequences-and-freeness-criteria-2204.07006</loc><lastmod>2022-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/independent-sequences-and-freeness-criteria-2204.07006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/independent-sequences-and-freeness-criteria-2204.07006"/></url>
<url><loc>https://scifaro.com/en/abs/shift-invariant-algebras-segre-products-and-regular-languages-2204.07849</loc><lastmod>2022-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shift-invariant-algebras-segre-products-and-regular-languages-2204.07849"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shift-invariant-algebras-segre-products-and-regular-languages-2204.07849"/></url>
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<url><loc>https://scifaro.com/en/abs/a-schreier-type-property-for-modules-2204.09784</loc><lastmod>2022-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-schreier-type-property-for-modules-2204.09784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-schreier-type-property-for-modules-2204.09784"/></url>
<url><loc>https://scifaro.com/en/abs/the-k-ahler-different-of-a-0-dimensional-scheme-2204.10427</loc><lastmod>2022-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-k-ahler-different-of-a-0-dimensional-scheme-2204.10427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-k-ahler-different-of-a-0-dimensional-scheme-2204.10427"/></url>
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<url><loc>https://scifaro.com/en/abs/prime-factorization-of-ideals-in-commutative-rings-with-a-focus-on-krull-rings-2204.12098</loc><lastmod>2023-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-factorization-of-ideals-in-commutative-rings-with-a-focus-on-krull-rings-2204.12098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-factorization-of-ideals-in-commutative-rings-with-a-focus-on-krull-rings-2204.12098"/></url>
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<url><loc>https://scifaro.com/en/abs/on-uniformly-s-coherent-rings-2205.07137</loc><lastmod>2023-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-uniformly-s-coherent-rings-2205.07137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-uniformly-s-coherent-rings-2205.07137"/></url>
<url><loc>https://scifaro.com/en/abs/on-gr-obner-bases-and-cohen-macaulay-property-of-closed-path-polyominoes-2205.08251</loc><lastmod>2022-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gr-obner-bases-and-cohen-macaulay-property-of-closed-path-polyominoes-2205.08251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gr-obner-bases-and-cohen-macaulay-property-of-closed-path-polyominoes-2205.08251"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-poincar-e-series-and-gorenstein-property-for-some-non-simple-polyominoes-2205.08375</loc><lastmod>2023-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-poincar-e-series-and-gorenstein-property-for-some-non-simple-polyominoes-2205.08375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-poincar-e-series-and-gorenstein-property-for-some-non-simple-polyominoes-2205.08375"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-generalized-multiplicities-of-maximal-minors-and-sub-maximal-pfaffians-2205.09657</loc><lastmod>2022-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-generalized-multiplicities-of-maximal-minors-and-sub-maximal-pfaffians-2205.09657"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-generalized-multiplicities-of-maximal-minors-and-sub-maximal-pfaffians-2205.09657"/></url>
<url><loc>https://scifaro.com/en/abs/itoh-s-conjecture-for-normal-ideals-2205.10615</loc><lastmod>2022-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/itoh-s-conjecture-for-normal-ideals-2205.10615"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/itoh-s-conjecture-for-normal-ideals-2205.10615"/></url>
<url><loc>https://scifaro.com/en/abs/localizations-of-integer-valued-polynomials-and-of-their-picard-group-2205.11312</loc><lastmod>2022-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localizations-of-integer-valued-polynomials-and-of-their-picard-group-2205.11312"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localizations-of-integer-valued-polynomials-and-of-their-picard-group-2205.11312"/></url>
<url><loc>https://scifaro.com/en/abs/nil-ast-noetherian-rings-2205.11724</loc><lastmod>2022-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nil-ast-noetherian-rings-2205.11724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nil-ast-noetherian-rings-2205.11724"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-two-dimensional-jacobian-conjecture-magnus-formula-revisited-ii-2205.12792</loc><lastmod>2022-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-two-dimensional-jacobian-conjecture-magnus-formula-revisited-ii-2205.12792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-two-dimensional-jacobian-conjecture-magnus-formula-revisited-ii-2205.12792"/></url>
<url><loc>https://scifaro.com/en/abs/residual-intersections-and-core-of-modules-2205.13721</loc><lastmod>2022-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-intersections-and-core-of-modules-2205.13721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-intersections-and-core-of-modules-2205.13721"/></url>
<url><loc>https://scifaro.com/en/abs/a-degree-bound-for-rings-of-arithmetic-invariants-2205.13906</loc><lastmod>2022-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-degree-bound-for-rings-of-arithmetic-invariants-2205.13906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-degree-bound-for-rings-of-arithmetic-invariants-2205.13906"/></url>
<url><loc>https://scifaro.com/en/abs/basically-regular-local-homomorphisms-2205.14279</loc><lastmod>2022-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/basically-regular-local-homomorphisms-2205.14279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/basically-regular-local-homomorphisms-2205.14279"/></url>
<url><loc>https://scifaro.com/en/abs/normality-and-associated-primes-of-closed-neighborhood-ideals-and-dominating-ideals-2205.14394</loc><lastmod>2023-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-and-associated-primes-of-closed-neighborhood-ideals-and-dominating-ideals-2205.14394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-and-associated-primes-of-closed-neighborhood-ideals-and-dominating-ideals-2205.14394"/></url>
<url><loc>https://scifaro.com/en/abs/solution-to-a-conjecture-on-edge-rings-with-2-linear-resolutions-2205.14436</loc><lastmod>2022-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solution-to-a-conjecture-on-edge-rings-with-2-linear-resolutions-2205.14436"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solution-to-a-conjecture-on-edge-rings-with-2-linear-resolutions-2205.14436"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2205.14533</loc><lastmod>2022-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2205.14533"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2205.14533"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-at-small-dimensions-2205.14535</loc><lastmod>2022-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-at-small-dimensions-2205.14535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-at-small-dimensions-2205.14535"/></url>
<url><loc>https://scifaro.com/en/abs/almost-witt-vectors-2205.14745</loc><lastmod>2023-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-witt-vectors-2205.14745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-witt-vectors-2205.14745"/></url>
<url><loc>https://scifaro.com/en/abs/krasner-m-n-hyperring-of-fractions-2205.15070</loc><lastmod>2022-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/krasner-m-n-hyperring-of-fractions-2205.15070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/krasner-m-n-hyperring-of-fractions-2205.15070"/></url>
<url><loc>https://scifaro.com/en/abs/extensions-of-n-ary-prime-hyperideals-via-an-n-ary-multiplicative-subset-in-a-krasner-m-n-hyperring-2205.15318</loc><lastmod>2022-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extensions-of-n-ary-prime-hyperideals-via-an-n-ary-multiplicative-subset-in-a-krasner-m-n-hyperring-2205.15318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extensions-of-n-ary-prime-hyperideals-via-an-n-ary-multiplicative-subset-in-a-krasner-m-n-hyperring-2205.15318"/></url>
<url><loc>https://scifaro.com/en/abs/on-gorenstein-homological-dimension-of-groups-2205.15542</loc><lastmod>2023-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gorenstein-homological-dimension-of-groups-2205.15542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gorenstein-homological-dimension-of-groups-2205.15542"/></url>
<url><loc>https://scifaro.com/en/abs/on-two-versions-of-cohen-s-theorem-for-modules-2205.15583</loc><lastmod>2022-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-two-versions-of-cohen-s-theorem-for-modules-2205.15583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-two-versions-of-cohen-s-theorem-for-modules-2205.15583"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohen-s-theorem-for-artinian-modules-2205.15586</loc><lastmod>2022-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohen-s-theorem-for-artinian-modules-2205.15586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohen-s-theorem-for-artinian-modules-2205.15586"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-integral-closure-of-radical-towers-in-mixed-characteristic-2205.15973</loc><lastmod>2022-06-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-integral-closure-of-radical-towers-in-mixed-characteristic-2205.15973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-integral-closure-of-radical-towers-in-mixed-characteristic-2205.15973"/></url>
<url><loc>https://scifaro.com/en/abs/pure-transcendental-immediate-valuation-ring-extensions-as-limits-of-smooth-algebras-2206.00472</loc><lastmod>2025-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pure-transcendental-immediate-valuation-ring-extensions-as-limits-of-smooth-algebras-2206.00472"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pure-transcendental-immediate-valuation-ring-extensions-as-limits-of-smooth-algebras-2206.00472"/></url>
<url><loc>https://scifaro.com/en/abs/levelness-versus-nearly-gorensteinness-of-homogeneous-domains-2206.00552</loc><lastmod>2023-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/levelness-versus-nearly-gorensteinness-of-homogeneous-domains-2206.00552"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/levelness-versus-nearly-gorensteinness-of-homogeneous-domains-2206.00552"/></url>
<url><loc>https://scifaro.com/en/abs/multiplication-m-n-hypermodules-2206.01489</loc><lastmod>2022-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplication-m-n-hypermodules-2206.01489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplication-m-n-hypermodules-2206.01489"/></url>
<url><loc>https://scifaro.com/en/abs/elementary-construction-of-the-minimal-free-resolution-of-the-specht-ideal-of-shape-n-d-d-2206.02701</loc><lastmod>2023-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-construction-of-the-minimal-free-resolution-of-the-specht-ideal-of-shape-n-d-d-2206.02701"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-construction-of-the-minimal-free-resolution-of-the-specht-ideal-of-shape-n-d-d-2206.02701"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-ii-2206.02866</loc><lastmod>2022-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-ii-2206.02866"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-module-of-differentials-of-integral-extensions-ii-2206.02866"/></url>
<url><loc>https://scifaro.com/en/abs/every-finite-poset-is-isomorphic-to-a-saturated-subset-of-the-spectrum-of-a-noetherian-ufd-2206.02867</loc><lastmod>2023-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/every-finite-poset-is-isomorphic-to-a-saturated-subset-of-the-spectrum-of-a-noetherian-ufd-2206.02867"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/every-finite-poset-is-isomorphic-to-a-saturated-subset-of-the-spectrum-of-a-noetherian-ufd-2206.02867"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-strongly-robustness-property-of-toric-ideals-2206.03121</loc><lastmod>2022-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-strongly-robustness-property-of-toric-ideals-2206.03121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-strongly-robustness-property-of-toric-ideals-2206.03121"/></url>
<url><loc>https://scifaro.com/en/abs/w-rm-fp-projective-modules-and-dimension-2206.03533</loc><lastmod>2022-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/w-rm-fp-projective-modules-and-dimension-2206.03533"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/w-rm-fp-projective-modules-and-dimension-2206.03533"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-coordinate-rings-as-direct-summands-of-regular-rings-2206.03621</loc><lastmod>2022-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-coordinate-rings-as-direct-summands-of-regular-rings-2206.03621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-coordinate-rings-as-direct-summands-of-regular-rings-2206.03621"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-forest-simplicial-complexes-and-almost-cohen-macaulay-2206.03704</loc><lastmod>2022-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-forest-simplicial-complexes-and-almost-cohen-macaulay-2206.03704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-forest-simplicial-complexes-and-almost-cohen-macaulay-2206.03704"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-type-of-orders-generators-and-ideal-classes-2206.03758</loc><lastmod>2025-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-type-of-orders-generators-and-ideal-classes-2206.03758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-type-of-orders-generators-and-ideal-classes-2206.03758"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-on-two-hilbert-coefficients-2206.03974</loc><lastmod>2022-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-on-two-hilbert-coefficients-2206.03974"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-on-two-hilbert-coefficients-2206.03974"/></url>
<url><loc>https://scifaro.com/en/abs/generalised-power-series-determined-by-linear-recurrence-relations-2206.04126</loc><lastmod>2025-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalised-power-series-determined-by-linear-recurrence-relations-2206.04126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalised-power-series-determined-by-linear-recurrence-relations-2206.04126"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-set-of-chern-numbers-in-local-rings-2206.04856</loc><lastmod>2022-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-set-of-chern-numbers-in-local-rings-2206.04856"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-set-of-chern-numbers-in-local-rings-2206.04856"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-sectional-genera-and-cohen-macaulay-rings-2206.04859</loc><lastmod>2022-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-sectional-genera-and-cohen-macaulay-rings-2206.04859"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-sectional-genera-and-cohen-macaulay-rings-2206.04859"/></url>
<url><loc>https://scifaro.com/en/abs/sit-ring-and-sitt-ring-properties-in-amalgamated-and-bi-amalgamated-algebras-along-ideals-2206.04889</loc><lastmod>2022-12-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sit-ring-and-sitt-ring-properties-in-amalgamated-and-bi-amalgamated-algebras-along-ideals-2206.04889"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sit-ring-and-sitt-ring-properties-in-amalgamated-and-bi-amalgamated-algebras-along-ideals-2206.04889"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-the-edge-ideals-and-matchings-in-hypergraphs-2206.04913</loc><lastmod>2025-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-the-edge-ideals-and-matchings-in-hypergraphs-2206.04913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-the-edge-ideals-and-matchings-in-hypergraphs-2206.04913"/></url>
<url><loc>https://scifaro.com/en/abs/coartinianess-of-extension-and-torsion-functors-2206.04961</loc><lastmod>2022-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coartinianess-of-extension-and-torsion-functors-2206.04961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coartinianess-of-extension-and-torsion-functors-2206.04961"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-lucas-modules-2206.05767</loc><lastmod>2023-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-lucas-modules-2206.05767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-lucas-modules-2206.05767"/></url>
<url><loc>https://scifaro.com/en/abs/the-improved-new-intersection-theorem-revisited-2206.05812</loc><lastmod>2022-10-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-improved-new-intersection-theorem-revisited-2206.05812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-improved-new-intersection-theorem-revisited-2206.05812"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-homogeneous-rank-2-locally-nilpotent-derivations-on-k-x-y-z-2206.05906</loc><lastmod>2024-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-homogeneous-rank-2-locally-nilpotent-derivations-on-k-x-y-z-2206.05906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-homogeneous-rank-2-locally-nilpotent-derivations-on-k-x-y-z-2206.05906"/></url>
<url><loc>https://scifaro.com/en/abs/splitting-criteria-for-projective-modules-over-polynomial-algebras-2206.06819</loc><lastmod>2025-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splitting-criteria-for-projective-modules-over-polynomial-algebras-2206.06819"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splitting-criteria-for-projective-modules-over-polynomial-algebras-2206.06819"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-multiplier-ideals-via-ultraproducts-2206.08668</loc><lastmod>2023-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-multiplier-ideals-via-ultraproducts-2206.08668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-multiplier-ideals-via-ultraproducts-2206.08668"/></url>
<url><loc>https://scifaro.com/en/abs/the-balance-of-relative-ext-groups-defined-by-semi-dualizing-modules-2206.09201</loc><lastmod>2022-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-balance-of-relative-ext-groups-defined-by-semi-dualizing-modules-2206.09201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-balance-of-relative-ext-groups-defined-by-semi-dualizing-modules-2206.09201"/></url>
<url><loc>https://scifaro.com/en/abs/quadratically-presented-gorenstein-ideals-2206.09473</loc><lastmod>2022-06-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratically-presented-gorenstein-ideals-2206.09473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratically-presented-gorenstein-ideals-2206.09473"/></url>
<url><loc>https://scifaro.com/en/abs/on-waring-numbers-of-henselian-rings-2206.09904</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-waring-numbers-of-henselian-rings-2206.09904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-waring-numbers-of-henselian-rings-2206.09904"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-with-unique-apery-expansions-ii-2206.10994</loc><lastmod>2022-06-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-with-unique-apery-expansions-ii-2206.10994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-with-unique-apery-expansions-ii-2206.10994"/></url>
<url><loc>https://scifaro.com/en/abs/realizing-orders-as-group-rings-2206.11001</loc><lastmod>2023-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/realizing-orders-as-group-rings-2206.11001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/realizing-orders-as-group-rings-2206.11001"/></url>
<url><loc>https://scifaro.com/en/abs/secondary-hochschild-homology-and-differentials-2206.11797</loc><lastmod>2022-06-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/secondary-hochschild-homology-and-differentials-2206.11797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/secondary-hochschild-homology-and-differentials-2206.11797"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-coherence-and-localization-at-single-elements-2206.11949</loc><lastmod>2024-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-coherence-and-localization-at-single-elements-2206.11949"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-coherence-and-localization-at-single-elements-2206.11949"/></url>
<url><loc>https://scifaro.com/en/abs/buchsbaum-eisenbud-complexes-of-oi-modules-2206.12960</loc><lastmod>2022-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/buchsbaum-eisenbud-complexes-of-oi-modules-2206.12960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/buchsbaum-eisenbud-complexes-of-oi-modules-2206.12960"/></url>
<url><loc>https://scifaro.com/en/abs/line-graphs-of-simplicial-complexes-2206.13463</loc><lastmod>2025-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/line-graphs-of-simplicial-complexes-2206.13463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/line-graphs-of-simplicial-complexes-2206.13463"/></url>
<url><loc>https://scifaro.com/en/abs/on-regularity-and-projective-dimension-of-invariant-chains-of-monomial-ideals-2206.15141</loc><lastmod>2024-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-regularity-and-projective-dimension-of-invariant-chains-of-monomial-ideals-2206.15141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-regularity-and-projective-dimension-of-invariant-chains-of-monomial-ideals-2206.15141"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-triviality-of-a-family-of-linear-hyperplanes-2206.15210</loc><lastmod>2023-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-triviality-of-a-family-of-linear-hyperplanes-2206.15210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-triviality-of-a-family-of-linear-hyperplanes-2206.15210"/></url>
<url><loc>https://scifaro.com/en/abs/classes-of-f-hyperideals-of-a-krasner-f-m-n-hyperring-2207.00398</loc><lastmod>2022-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classes-of-f-hyperideals-of-a-krasner-f-m-n-hyperring-2207.00398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classes-of-f-hyperideals-of-a-krasner-f-m-n-hyperring-2207.00398"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closures-of-powers-of-sums-of-ideals-2207.00730</loc><lastmod>2023-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closures-of-powers-of-sums-of-ideals-2207.00730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closures-of-powers-of-sums-of-ideals-2207.00730"/></url>
<url><loc>https://scifaro.com/en/abs/the-multivariate-serre-conjecture-ring-2207.01034</loc><lastmod>2022-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-multivariate-serre-conjecture-ring-2207.01034"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-multivariate-serre-conjecture-ring-2207.01034"/></url>
<url><loc>https://scifaro.com/en/abs/residual-intersections-of-2-times-n-determinantal-ideals-2207.01143</loc><lastmod>2022-07-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-intersections-of-2-times-n-determinantal-ideals-2207.01143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-intersections-of-2-times-n-determinantal-ideals-2207.01143"/></url>
<url><loc>https://scifaro.com/en/abs/non-normal-edge-rings-satisfying-s-2-condition-2207.01217</loc><lastmod>2023-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-normal-edge-rings-satisfying-s-2-condition-2207.01217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-normal-edge-rings-satisfying-s-2-condition-2207.01217"/></url>
<url><loc>https://scifaro.com/en/abs/tilting-complexes-and-codimension-functions-over-commutative-noetherian-rings-2207.01309</loc><lastmod>2025-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tilting-complexes-and-codimension-functions-over-commutative-noetherian-rings-2207.01309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tilting-complexes-and-codimension-functions-over-commutative-noetherian-rings-2207.01309"/></url>
<url><loc>https://scifaro.com/en/abs/hartshorne-s-question-on-cofinite-complexes-2207.01785</loc><lastmod>2022-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hartshorne-s-question-on-cofinite-complexes-2207.01785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hartshorne-s-question-on-cofinite-complexes-2207.01785"/></url>
<url><loc>https://scifaro.com/en/abs/on-phi-delta-s-primary-ideals-of-commutative-rings-2207.02065</loc><lastmod>2022-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-phi-delta-s-primary-ideals-of-commutative-rings-2207.02065"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-phi-delta-s-primary-ideals-of-commutative-rings-2207.02065"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-factorization-over-henselian-fields-2207.02139</loc><lastmod>2022-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-factorization-over-henselian-fields-2207.02139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-factorization-over-henselian-fields-2207.02139"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-theorem-of-gulliksen-on-the-homology-of-local-rings-2207.02153</loc><lastmod>2022-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-theorem-of-gulliksen-on-the-homology-of-local-rings-2207.02153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-theorem-of-gulliksen-on-the-homology-of-local-rings-2207.02153"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetical-rank-and-cohomological-dimension-of-generalized-binomial-edge-ideals-2207.02256</loc><lastmod>2023-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetical-rank-and-cohomological-dimension-of-generalized-binomial-edge-ideals-2207.02256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetical-rank-and-cohomological-dimension-of-generalized-binomial-edge-ideals-2207.02256"/></url>
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<url><loc>https://scifaro.com/en/abs/coding-reliability-with-aclus-did-i-correctly-characterize-my-observations-2207.02855</loc><lastmod>2022-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coding-reliability-with-aclus-did-i-correctly-characterize-my-observations-2207.02855"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coding-reliability-with-aclus-did-i-correctly-characterize-my-observations-2207.02855"/></url>
<url><loc>https://scifaro.com/en/abs/a-volume-multiplicity-formula-for-p-families-of-ideals-2207.03004</loc><lastmod>2022-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-volume-multiplicity-formula-for-p-families-of-ideals-2207.03004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-volume-multiplicity-formula-for-p-families-of-ideals-2207.03004"/></url>
<url><loc>https://scifaro.com/en/abs/partial-trace-ideals-torsion-and-canonical-module-2207.03243</loc><lastmod>2022-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partial-trace-ideals-torsion-and-canonical-module-2207.03243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partial-trace-ideals-torsion-and-canonical-module-2207.03243"/></url>
<url><loc>https://scifaro.com/en/abs/function-field-extensions-and-annihilators-of-differential-forms-in-characteristic-p-and-bilinear-forms-in-characteristic-2-2207.03734</loc><lastmod>2022-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/function-field-extensions-and-annihilators-of-differential-forms-in-characteristic-p-and-bilinear-forms-in-characteristic-2-2207.03734"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/function-field-extensions-and-annihilators-of-differential-forms-in-characteristic-p-and-bilinear-forms-in-characteristic-2-2207.03734"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-ideals-in-countable-rings-constructively-2207.03873</loc><lastmod>2022-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-ideals-in-countable-rings-constructively-2207.03873"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-ideals-in-countable-rings-constructively-2207.03873"/></url>
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<url><loc>https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-in-equal-characteristic-zero-via-ultraproducts-2207.04247</loc><lastmod>2023-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-in-equal-characteristic-zero-via-ultraproducts-2207.04247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-cohen-macaulay-test-ideals-in-equal-characteristic-zero-via-ultraproducts-2207.04247"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-dedekind-domains-with-finite-residue-fields-of-prime-characteristic-2207.04280</loc><lastmod>2023-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-dedekind-domains-with-finite-residue-fields-of-prime-characteristic-2207.04280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-dedekind-domains-with-finite-residue-fields-of-prime-characteristic-2207.04280"/></url>
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<url><loc>https://scifaro.com/en/abs/syzygies-for-the-vector-invariants-of-the-dihedral-group-2207.04495</loc><lastmod>2022-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-for-the-vector-invariants-of-the-dihedral-group-2207.04495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-for-the-vector-invariants-of-the-dihedral-group-2207.04495"/></url>
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<url><loc>https://scifaro.com/en/abs/distributive-fcp-extensions-2207.05572</loc><lastmod>2022-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distributive-fcp-extensions-2207.05572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distributive-fcp-extensions-2207.05572"/></url>
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<url><loc>https://scifaro.com/en/abs/the-h-vectors-of-the-edge-rings-of-a-special-family-of-graphs-2207.06021</loc><lastmod>2022-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-h-vectors-of-the-edge-rings-of-a-special-family-of-graphs-2207.06021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-h-vectors-of-the-edge-rings-of-a-special-family-of-graphs-2207.06021"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-injective-dimension-2207.06170</loc><lastmod>2023-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-injective-dimension-2207.06170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-injective-dimension-2207.06170"/></url>
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<url><loc>https://scifaro.com/en/abs/geometric-vertex-decomposition-and-liaison-for-toric-ideals-of-graphs-2207.06391</loc><lastmod>2025-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-vertex-decomposition-and-liaison-for-toric-ideals-of-graphs-2207.06391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-vertex-decomposition-and-liaison-for-toric-ideals-of-graphs-2207.06391"/></url>
<url><loc>https://scifaro.com/en/abs/radical-semistar-operations-2207.07366</loc><lastmod>2022-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-semistar-operations-2207.07366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-semistar-operations-2207.07366"/></url>
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<url><loc>https://scifaro.com/en/abs/abstract-key-polynomials-and-maclane-vaqui-e-chains-2207.07892</loc><lastmod>2022-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-maclane-vaqui-e-chains-2207.07892"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abstract-key-polynomials-and-maclane-vaqui-e-chains-2207.07892"/></url>
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<url><loc>https://scifaro.com/en/abs/a-polynomial-composites-2207.08719</loc><lastmod>2022-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-polynomial-composites-2207.08719"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-polynomial-composites-2207.08719"/></url>
<url><loc>https://scifaro.com/en/abs/finite-f-representation-type-for-homogeneous-coordinate-rings-of-non-fano-varieties-2207.08966</loc><lastmod>2026-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-f-representation-type-for-homogeneous-coordinate-rings-of-non-fano-varieties-2207.08966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-f-representation-type-for-homogeneous-coordinate-rings-of-non-fano-varieties-2207.08966"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-reducing-projective-dimension-of-the-residue-field-2207.09241</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-reducing-projective-dimension-of-the-residue-field-2207.09241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-reducing-projective-dimension-of-the-residue-field-2207.09241"/></url>
<url><loc>https://scifaro.com/en/abs/on-radical-of-intuitionistic-fuzzy-primary-submodule-2207.09772</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-radical-of-intuitionistic-fuzzy-primary-submodule-2207.09772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-radical-of-intuitionistic-fuzzy-primary-submodule-2207.09772"/></url>
<url><loc>https://scifaro.com/en/abs/graded-modules-with-noetherian-graded-second-spectrum-2207.10575</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-modules-with-noetherian-graded-second-spectrum-2207.10575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-modules-with-noetherian-graded-second-spectrum-2207.10575"/></url>
<url><loc>https://scifaro.com/en/abs/log-concave-gorenstein-sequences-2207.10753</loc><lastmod>2023-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/log-concave-gorenstein-sequences-2207.10753"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/log-concave-gorenstein-sequences-2207.10753"/></url>
<url><loc>https://scifaro.com/en/abs/steenrod-problem-and-some-graded-stanley-reisner-rings-2207.10884</loc><lastmod>2024-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/steenrod-problem-and-some-graded-stanley-reisner-rings-2207.10884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/steenrod-problem-and-some-graded-stanley-reisner-rings-2207.10884"/></url>
<url><loc>https://scifaro.com/en/abs/the-defect-formula-2207.11119</loc><lastmod>2022-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-defect-formula-2207.11119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-defect-formula-2207.11119"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-n-pure-ideals-2207.11533</loc><lastmod>2022-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-n-pure-ideals-2207.11533"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-n-pure-ideals-2207.11533"/></url>
<url><loc>https://scifaro.com/en/abs/values-of-the-f-pure-threshold-for-homogeneous-polynomials-2207.11800</loc><lastmod>2022-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/values-of-the-f-pure-threshold-for-homogeneous-polynomials-2207.11800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/values-of-the-f-pure-threshold-for-homogeneous-polynomials-2207.11800"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-s-artinianness-by-uniformity-2207.12569</loc><lastmod>2023-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-s-artinianness-by-uniformity-2207.12569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-s-artinianness-by-uniformity-2207.12569"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-categorical-entropy-of-the-frobenius-pushforward-functor-2207.13774</loc><lastmod>2022-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-categorical-entropy-of-the-frobenius-pushforward-functor-2207.13774"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-categorical-entropy-of-the-frobenius-pushforward-functor-2207.13774"/></url>
<url><loc>https://scifaro.com/en/abs/diagonal-f-splitting-and-symbolic-powers-of-ideals-2208.00051</loc><lastmod>2026-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diagonal-f-splitting-and-symbolic-powers-of-ideals-2208.00051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diagonal-f-splitting-and-symbolic-powers-of-ideals-2208.00051"/></url>
<url><loc>https://scifaro.com/en/abs/a-signature-based-gr-obner-basis-algorithm-with-tail-reduced-reductors-m5gb-2208.00844</loc><lastmod>2022-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-signature-based-gr-obner-basis-algorithm-with-tail-reduced-reductors-m5gb-2208.00844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-signature-based-gr-obner-basis-algorithm-with-tail-reduced-reductors-m5gb-2208.00844"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-supported-on-mathfrak-c-monomial-ideals-2208.00985</loc><lastmod>2022-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-supported-on-mathfrak-c-monomial-ideals-2208.00985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-supported-on-mathfrak-c-monomial-ideals-2208.00985"/></url>
<url><loc>https://scifaro.com/en/abs/specialization-of-integral-closure-of-ideals-by-general-elements-2208.01027</loc><lastmod>2022-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/specialization-of-integral-closure-of-ideals-by-general-elements-2208.01027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/specialization-of-integral-closure-of-ideals-by-general-elements-2208.01027"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-and-lefschetz-properties-of-some-artin-gorenstein-rings-of-codimension-four-2208.01536</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-and-lefschetz-properties-of-some-artin-gorenstein-rings-of-codimension-four-2208.01536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-and-lefschetz-properties-of-some-artin-gorenstein-rings-of-codimension-four-2208.01536"/></url>
<url><loc>https://scifaro.com/en/abs/the-s-flat-topology-2208.01986</loc><lastmod>2022-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-s-flat-topology-2208.01986"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-s-flat-topology-2208.01986"/></url>
<url><loc>https://scifaro.com/en/abs/classification-of-cohen-macaulay-t-spread-lexsegment-ideals-via-simplicial-complexes-2208.02175</loc><lastmod>2022-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classification-of-cohen-macaulay-t-spread-lexsegment-ideals-via-simplicial-complexes-2208.02175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classification-of-cohen-macaulay-t-spread-lexsegment-ideals-via-simplicial-complexes-2208.02175"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-minimal-resolutions-of-vector-spread-borel-ideals-2208.02181</loc><lastmod>2022-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-minimal-resolutions-of-vector-spread-borel-ideals-2208.02181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-minimal-resolutions-of-vector-spread-borel-ideals-2208.02181"/></url>
<url><loc>https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2208.02667</loc><lastmod>2022-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2208.02667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-2208.02667"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-singular-varieties-of-exterior-edge-ideals-2208.03366</loc><lastmod>2022-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-singular-varieties-of-exterior-edge-ideals-2208.03366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-singular-varieties-of-exterior-edge-ideals-2208.03366"/></url>
<url><loc>https://scifaro.com/en/abs/dg-module-structures-and-minimal-free-resolutions-modulo-an-exact-zero-divisor-2208.04452</loc><lastmod>2023-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dg-module-structures-and-minimal-free-resolutions-modulo-an-exact-zero-divisor-2208.04452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dg-module-structures-and-minimal-free-resolutions-modulo-an-exact-zero-divisor-2208.04452"/></url>
<url><loc>https://scifaro.com/en/abs/faltings-annihilator-theorem-and-t-structures-of-derived-categories-2208.04455</loc><lastmod>2022-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faltings-annihilator-theorem-and-t-structures-of-derived-categories-2208.04455"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faltings-annihilator-theorem-and-t-structures-of-derived-categories-2208.04455"/></url>
<url><loc>https://scifaro.com/en/abs/the-homogeneous-spectrum-of-a-bbb-z-2-graded-commutative-ring-2208.04463</loc><lastmod>2022-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-homogeneous-spectrum-of-a-bbb-z-2-graded-commutative-ring-2208.04463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-homogeneous-spectrum-of-a-bbb-z-2-graded-commutative-ring-2208.04463"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-growth-of-betti-sequences-over-local-rings-2208.04770</loc><lastmod>2024-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-growth-of-betti-sequences-over-local-rings-2208.04770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-growth-of-betti-sequences-over-local-rings-2208.04770"/></url>
<url><loc>https://scifaro.com/en/abs/completions-of-countable-excellent-local-rings-in-equal-characteristic-zero-2208.04934</loc><lastmod>2022-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completions-of-countable-excellent-local-rings-in-equal-characteristic-zero-2208.04934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completions-of-countable-excellent-local-rings-in-equal-characteristic-zero-2208.04934"/></url>
<url><loc>https://scifaro.com/en/abs/on-m-bi-interior-ideals-of-an-ordered-semigroup-2208.05276</loc><lastmod>2022-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-m-bi-interior-ideals-of-an-ordered-semigroup-2208.05276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-m-bi-interior-ideals-of-an-ordered-semigroup-2208.05276"/></url>
<url><loc>https://scifaro.com/en/abs/level-and-pseudo-gorenstein-binomial-edge-ideals-2208.05340</loc><lastmod>2023-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/level-and-pseudo-gorenstein-binomial-edge-ideals-2208.05340"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/level-and-pseudo-gorenstein-binomial-edge-ideals-2208.05340"/></url>
<url><loc>https://scifaro.com/en/abs/burch-index-summands-of-syzygies-and-linearity-in-resolutions-2208.05427</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/burch-index-summands-of-syzygies-and-linearity-in-resolutions-2208.05427"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/burch-index-summands-of-syzygies-and-linearity-in-resolutions-2208.05427"/></url>
<url><loc>https://scifaro.com/en/abs/higher-lorentzian-polynomials-higher-hessians-and-the-hodge-riemann-property-for-graded-oriented-artinian-gorenstein-algebras-in-codimension-two-2208.05653</loc><lastmod>2023-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-lorentzian-polynomials-higher-hessians-and-the-hodge-riemann-property-for-graded-oriented-artinian-gorenstein-algebras-in-codimension-two-2208.05653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-lorentzian-polynomials-higher-hessians-and-the-hodge-riemann-property-for-graded-oriented-artinian-gorenstein-algebras-in-codimension-two-2208.05653"/></url>
<url><loc>https://scifaro.com/en/abs/higher-structure-maps-for-free-resolutions-of-length-3-and-linkage-2208.05934</loc><lastmod>2023-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-structure-maps-for-free-resolutions-of-length-3-and-linkage-2208.05934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-structure-maps-for-free-resolutions-of-length-3-and-linkage-2208.05934"/></url>
<url><loc>https://scifaro.com/en/abs/multidegrees-prime-ideals-and-non-standard-gradings-2208.07238</loc><lastmod>2023-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multidegrees-prime-ideals-and-non-standard-gradings-2208.07238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multidegrees-prime-ideals-and-non-standard-gradings-2208.07238"/></url>
<url><loc>https://scifaro.com/en/abs/commutative-rings-whose-proper-ideals-are-direct-sum-of-cyclically-presented-modules-2208.07942</loc><lastmod>2022-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commutative-rings-whose-proper-ideals-are-direct-sum-of-cyclically-presented-modules-2208.07942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commutative-rings-whose-proper-ideals-are-direct-sum-of-cyclically-presented-modules-2208.07942"/></url>
<url><loc>https://scifaro.com/en/abs/on-pseudo-absorbing-primary-multiplication-modules-over-pullback-rings-2208.08286</loc><lastmod>2022-08-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-pseudo-absorbing-primary-multiplication-modules-over-pullback-rings-2208.08286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-pseudo-absorbing-primary-multiplication-modules-over-pullback-rings-2208.08286"/></url>
<url><loc>https://scifaro.com/en/abs/functional-equations-in-formal-power-series-2208.08365</loc><lastmod>2025-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/functional-equations-in-formal-power-series-2208.08365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/functional-equations-in-formal-power-series-2208.08365"/></url>
<url><loc>https://scifaro.com/en/abs/on-algebraic-extensions-and-algebraic-closures-of-superfields-2208.08537</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-algebraic-extensions-and-algebraic-closures-of-superfields-2208.08537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-algebraic-extensions-and-algebraic-closures-of-superfields-2208.08537"/></url>
<url><loc>https://scifaro.com/en/abs/normality-criteria-for-monomial-ideals-2208.08588</loc><lastmod>2024-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-criteria-for-monomial-ideals-2208.08588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-criteria-for-monomial-ideals-2208.08588"/></url>
<url><loc>https://scifaro.com/en/abs/tame-and-wild-primes-in-direct-products-of-commutative-rings-2208.08828</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-and-wild-primes-in-direct-products-of-commutative-rings-2208.08828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-and-wild-primes-in-direct-products-of-commutative-rings-2208.08828"/></url>
<url><loc>https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-generalized-cohen-macaulay-modules-2208.09112</loc><lastmod>2022-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-generalized-cohen-macaulay-modules-2208.09112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-hilbert-coefficients-and-sequentially-generalized-cohen-macaulay-modules-2208.09112"/></url>
<url><loc>https://scifaro.com/en/abs/countable-strongly-annihilated-ideals-in-commutative-rings-2208.09188</loc><lastmod>2023-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/countable-strongly-annihilated-ideals-in-commutative-rings-2208.09188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/countable-strongly-annihilated-ideals-in-commutative-rings-2208.09188"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-resolutions-of-lattice-ideals-2208.09557</loc><lastmod>2024-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-resolutions-of-lattice-ideals-2208.09557"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-resolutions-of-lattice-ideals-2208.09557"/></url>
<url><loc>https://scifaro.com/en/abs/ring-structure-of-integer-valued-rational-functions-2208.09935</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-structure-of-integer-valued-rational-functions-2208.09935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-structure-of-integer-valued-rational-functions-2208.09935"/></url>
<url><loc>https://scifaro.com/en/abs/on-converse-of-the-schur-s-theorem-for-nilpotent-lie-superalgebras-2208.10152</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-converse-of-the-schur-s-theorem-for-nilpotent-lie-superalgebras-2208.10152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-converse-of-the-schur-s-theorem-for-nilpotent-lie-superalgebras-2208.10152"/></url>
<url><loc>https://scifaro.com/en/abs/the-combinatorial-structure-of-symmetric-strongly-shifted-ideals-2208.10476</loc><lastmod>2022-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-combinatorial-structure-of-symmetric-strongly-shifted-ideals-2208.10476"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-combinatorial-structure-of-symmetric-strongly-shifted-ideals-2208.10476"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-weakly-closed-graphs-2208.10749</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-weakly-closed-graphs-2208.10749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-weakly-closed-graphs-2208.10749"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-generalized-local-cohomology-modules-for-ideals-of-small-dimension-2208.10772</loc><lastmod>2022-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-generalized-local-cohomology-modules-for-ideals-of-small-dimension-2208.10772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-generalized-local-cohomology-modules-for-ideals-of-small-dimension-2208.10772"/></url>
<url><loc>https://scifaro.com/en/abs/duality-for-asymptotic-invariants-of-graded-families-2208.11110</loc><lastmod>2022-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-for-asymptotic-invariants-of-graded-families-2208.11110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-for-asymptotic-invariants-of-graded-families-2208.11110"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-multigraded-regularity-2208.11115</loc><lastmod>2025-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-multigraded-regularity-2208.11115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-multigraded-regularity-2208.11115"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-duality-for-local-cohomology-2208.11504</loc><lastmod>2024-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-duality-for-local-cohomology-2208.11504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-duality-for-local-cohomology-2208.11504"/></url>
<url><loc>https://scifaro.com/en/abs/tame-key-polynomials-2208.11590</loc><lastmod>2022-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-key-polynomials-2208.11590"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-key-polynomials-2208.11590"/></url>
<url><loc>https://scifaro.com/en/abs/annihilator-of-top-local-cohomology-and-lynch-s-conjecture-2208.12121</loc><lastmod>2023-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilator-of-top-local-cohomology-and-lynch-s-conjecture-2208.12121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilator-of-top-local-cohomology-and-lynch-s-conjecture-2208.12121"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-generalization-of-two-results-of-happel-to-commutative-rings-2208.12137</loc><lastmod>2022-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-generalization-of-two-results-of-happel-to-commutative-rings-2208.12137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-generalization-of-two-results-of-happel-to-commutative-rings-2208.12137"/></url>
<url><loc>https://scifaro.com/en/abs/on-coefficient-ideals-2208.12147</loc><lastmod>2022-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-coefficient-ideals-2208.12147"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-coefficient-ideals-2208.12147"/></url>
<url><loc>https://scifaro.com/en/abs/on-polynomial-interpolation-on-arbitrary-varieties-2208.12406</loc><lastmod>2022-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-polynomial-interpolation-on-arbitrary-varieties-2208.12406"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-polynomial-interpolation-on-arbitrary-varieties-2208.12406"/></url>
<url><loc>https://scifaro.com/en/abs/determinantal-conditions-for-modules-of-generalized-splines-2208.13062</loc><lastmod>2022-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determinantal-conditions-for-modules-of-generalized-splines-2208.13062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determinantal-conditions-for-modules-of-generalized-splines-2208.13062"/></url>
<url><loc>https://scifaro.com/en/abs/integrally-closed-mathfrak-m-primary-ideals-have-extremal-resolutions-2208.13715</loc><lastmod>2023-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrally-closed-mathfrak-m-primary-ideals-have-extremal-resolutions-2208.13715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrally-closed-mathfrak-m-primary-ideals-have-extremal-resolutions-2208.13715"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-of-graphs-whose-a-small-power-of-their-edge-ideals-has-a-linear-free-resolution-2208.13745</loc><lastmod>2022-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-of-graphs-whose-a-small-power-of-their-edge-ideals-has-a-linear-free-resolution-2208.13745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-of-graphs-whose-a-small-power-of-their-edge-ideals-has-a-linear-free-resolution-2208.13745"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-implications-of-neighborhood-hypergraphs-and-their-transversal-hypergraphs-2208.14040</loc><lastmod>2022-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-implications-of-neighborhood-hypergraphs-and-their-transversal-hypergraphs-2208.14040"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-implications-of-neighborhood-hypergraphs-and-their-transversal-hypergraphs-2208.14040"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-boundedness-of-the-type-of-an-almost-gorenstein-monomial-curve-in-mathbb-a-5-2208.14100</loc><lastmod>2022-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-boundedness-of-the-type-of-an-almost-gorenstein-monomial-curve-in-mathbb-a-5-2208.14100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-boundedness-of-the-type-of-an-almost-gorenstein-monomial-curve-in-mathbb-a-5-2208.14100"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalised-danielewski-and-asanuma-varieties-2208.14238</loc><lastmod>2023-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalised-danielewski-and-asanuma-varieties-2208.14238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalised-danielewski-and-asanuma-varieties-2208.14238"/></url>
<url><loc>https://scifaro.com/en/abs/semiannihilator-small-submodules-with-respect-to-an-arbitrary-submodule-2208.14840</loc><lastmod>2022-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semiannihilator-small-submodules-with-respect-to-an-arbitrary-submodule-2208.14840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semiannihilator-small-submodules-with-respect-to-an-arbitrary-submodule-2208.14840"/></url>
<url><loc>https://scifaro.com/en/abs/on-basic-double-g-links-of-squarefree-monomial-ideals-2209.00119</loc><lastmod>2024-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-basic-double-g-links-of-squarefree-monomial-ideals-2209.00119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-basic-double-g-links-of-squarefree-monomial-ideals-2209.00119"/></url>
<url><loc>https://scifaro.com/en/abs/recent-results-on-homological-properties-of-binomial-edge-ideal-of-graphs-2209.01201</loc><lastmod>2023-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recent-results-on-homological-properties-of-binomial-edge-ideal-of-graphs-2209.01201"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recent-results-on-homological-properties-of-binomial-edge-ideal-of-graphs-2209.01201"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-cohen-macaulay-weighted-oriented-forests-2209.01786</loc><lastmod>2022-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-cohen-macaulay-weighted-oriented-forests-2209.01786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-cohen-macaulay-weighted-oriented-forests-2209.01786"/></url>
<url><loc>https://scifaro.com/en/abs/generalization-of-bi-canonical-degrees-2209.02798</loc><lastmod>2022-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalization-of-bi-canonical-degrees-2209.02798"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalization-of-bi-canonical-degrees-2209.02798"/></url>
<url><loc>https://scifaro.com/en/abs/associated-graded-rings-of-the-filtration-of-tight-closure-of-powers-of-parameter-ideals-2209.03020</loc><lastmod>2022-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/associated-graded-rings-of-the-filtration-of-tight-closure-of-powers-of-parameter-ideals-2209.03020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/associated-graded-rings-of-the-filtration-of-tight-closure-of-powers-of-parameter-ideals-2209.03020"/></url>
<url><loc>https://scifaro.com/en/abs/defect-extensions-and-a-characterization-of-tame-fields-2209.03308</loc><lastmod>2022-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/defect-extensions-and-a-characterization-of-tame-fields-2209.03308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/defect-extensions-and-a-characterization-of-tame-fields-2209.03308"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-factorizations-of-the-discriminant-of-s-n-2209.03375</loc><lastmod>2022-09-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-factorizations-of-the-discriminant-of-s-n-2209.03375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-factorizations-of-the-discriminant-of-s-n-2209.03375"/></url>
<url><loc>https://scifaro.com/en/abs/lim-ulrich-sequences-and-boij-s-o-derberg-cones-2209.03498</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lim-ulrich-sequences-and-boij-s-o-derberg-cones-2209.03498"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lim-ulrich-sequences-and-boij-s-o-derberg-cones-2209.03498"/></url>
<url><loc>https://scifaro.com/en/abs/perfectoid-signature-perfectoid-hilbert-kunz-multiplicity-and-an-application-to-local-fundamental-groups-2209.04046</loc><lastmod>2025-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfectoid-signature-perfectoid-hilbert-kunz-multiplicity-and-an-application-to-local-fundamental-groups-2209.04046"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfectoid-signature-perfectoid-hilbert-kunz-multiplicity-and-an-application-to-local-fundamental-groups-2209.04046"/></url>
<url><loc>https://scifaro.com/en/abs/modules-in-which-pure-submodule-is-essential-in-a-direct-summand-2209.04176</loc><lastmod>2022-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-in-which-pure-submodule-is-essential-in-a-direct-summand-2209.04176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-in-which-pure-submodule-is-essential-in-a-direct-summand-2209.04176"/></url>
<url><loc>https://scifaro.com/en/abs/radically-finite-rings-and-space-curves-2209.04489</loc><lastmod>2022-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radically-finite-rings-and-space-curves-2209.04489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radically-finite-rings-and-space-curves-2209.04489"/></url>
<url><loc>https://scifaro.com/en/abs/local-log-regular-rings-vs-toric-rings-2209.04828</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-log-regular-rings-vs-toric-rings-2209.04828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-log-regular-rings-vs-toric-rings-2209.04828"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-aspects-of-the-jacobian-of-a-hyperplane-arrangement-2209.04929</loc><lastmod>2023-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-aspects-of-the-jacobian-of-a-hyperplane-arrangement-2209.04929"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-aspects-of-the-jacobian-of-a-hyperplane-arrangement-2209.04929"/></url>
<url><loc>https://scifaro.com/en/abs/almost-symmetric-good-semigroups-2209.05411</loc><lastmod>2022-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-symmetric-good-semigroups-2209.05411"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-symmetric-good-semigroups-2209.05411"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2209.05704</loc><lastmod>2022-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2209.05704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-with-respect-to-extension-of-serre-subcategories-2209.05704"/></url>
<url><loc>https://scifaro.com/en/abs/corrigendum-to-zero-divisor-gragh-of-a-lattice-with-respect-to-an-ideal-2209.05950</loc><lastmod>2022-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/corrigendum-to-zero-divisor-gragh-of-a-lattice-with-respect-to-an-ideal-2209.05950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/corrigendum-to-zero-divisor-gragh-of-a-lattice-with-respect-to-an-ideal-2209.05950"/></url>
<url><loc>https://scifaro.com/en/abs/the-edge-ideals-of-the-join-of-some-vertex-weighted-oriented-graphs-2209.06649</loc><lastmod>2022-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-edge-ideals-of-the-join-of-some-vertex-weighted-oriented-graphs-2209.06649"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-edge-ideals-of-the-join-of-some-vertex-weighted-oriented-graphs-2209.06649"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-certain-determinantal-thickenings-2209.06738</loc><lastmod>2022-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-certain-determinantal-thickenings-2209.06738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-certain-determinantal-thickenings-2209.06738"/></url>
<url><loc>https://scifaro.com/en/abs/d-sequence-edge-binomials-and-regularity-of-powers-of-binomial-edge-ideals-of-trees-2209.07218</loc><lastmod>2023-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/d-sequence-edge-binomials-and-regularity-of-powers-of-binomial-edge-ideals-of-trees-2209.07218"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/d-sequence-edge-binomials-and-regularity-of-powers-of-binomial-edge-ideals-of-trees-2209.07218"/></url>
<url><loc>https://scifaro.com/en/abs/the-normalized-depth-function-of-squarefree-powers-2209.07847</loc><lastmod>2022-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-normalized-depth-function-of-squarefree-powers-2209.07847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-normalized-depth-function-of-squarefree-powers-2209.07847"/></url>
<url><loc>https://scifaro.com/en/abs/the-graded-betti-numbers-of-truncation-of-ideals-in-polynomial-rings-2209.08650</loc><lastmod>2025-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-graded-betti-numbers-of-truncation-of-ideals-in-polynomial-rings-2209.08650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-graded-betti-numbers-of-truncation-of-ideals-in-polynomial-rings-2209.08650"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-closure-of-a-support-2209.09158</loc><lastmod>2022-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-closure-of-a-support-2209.09158"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-closure-of-a-support-2209.09158"/></url>
<url><loc>https://scifaro.com/en/abs/root-polytopes-tropical-types-and-toric-edge-ideals-2209.09851</loc><lastmod>2025-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/root-polytopes-tropical-types-and-toric-edge-ideals-2209.09851"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/root-polytopes-tropical-types-and-toric-edge-ideals-2209.09851"/></url>
<url><loc>https://scifaro.com/en/abs/canonical-forms-of-neural-ideals-2209.09948</loc><lastmod>2022-09-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/canonical-forms-of-neural-ideals-2209.09948"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/canonical-forms-of-neural-ideals-2209.09948"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-resolutions-of-monomial-ideals-and-their-artinian-reductions-2209.10338</loc><lastmod>2022-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-resolutions-of-monomial-ideals-and-their-artinian-reductions-2209.10338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-resolutions-of-monomial-ideals-and-their-artinian-reductions-2209.10338"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-arising-from-vertex-cover-ideals-2209.10799</loc><lastmod>2022-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-arising-from-vertex-cover-ideals-2209.10799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-arising-from-vertex-cover-ideals-2209.10799"/></url>
<url><loc>https://scifaro.com/en/abs/on-g-a-mathbb-q-of-rings-of-finite-representation-type-2209.11566</loc><lastmod>2022-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-g-a-mathbb-q-of-rings-of-finite-representation-type-2209.11566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-g-a-mathbb-q-of-rings-of-finite-representation-type-2209.11566"/></url>
<url><loc>https://scifaro.com/en/abs/maclane-vaqui-e-chains-and-valuation-transcendental-extensions-2209.12055</loc><lastmod>2022-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maclane-vaqui-e-chains-and-valuation-transcendental-extensions-2209.12055"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maclane-vaqui-e-chains-and-valuation-transcendental-extensions-2209.12055"/></url>
<url><loc>https://scifaro.com/en/abs/longest-and-shortest-factorizations-in-embedding-dimension-three-2209.12113</loc><lastmod>2023-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/longest-and-shortest-factorizations-in-embedding-dimension-three-2209.12113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/longest-and-shortest-factorizations-in-embedding-dimension-three-2209.12113"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-d-sequence-parity-binomial-edge-ideals-of-unicycle-graphs-2209.12182</loc><lastmod>2024-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-d-sequence-parity-binomial-edge-ideals-of-unicycle-graphs-2209.12182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-d-sequence-parity-binomial-edge-ideals-of-unicycle-graphs-2209.12182"/></url>
<url><loc>https://scifaro.com/en/abs/the-facet-ideals-of-chessboard-complexes-2209.12414</loc><lastmod>2022-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-facet-ideals-of-chessboard-complexes-2209.12414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-facet-ideals-of-chessboard-complexes-2209.12414"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-of-skew-polynomials-over-k-u-2209.12451</loc><lastmod>2022-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-skew-polynomials-over-k-u-2209.12451"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-skew-polynomials-over-k-u-2209.12451"/></url>
<url><loc>https://scifaro.com/en/abs/the-golomb-topology-of-polynomial-rings-ii-2209.12594</loc><lastmod>2022-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-golomb-topology-of-polynomial-rings-ii-2209.12594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-golomb-topology-of-polynomial-rings-ii-2209.12594"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-generalized-auslander-reiten-conjecture-2209.12718</loc><lastmod>2023-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-generalized-auslander-reiten-conjecture-2209.12718"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-generalized-auslander-reiten-conjecture-2209.12718"/></url>
<url><loc>https://scifaro.com/en/abs/distinguished-classes-of-ideal-spaces-and-their-topological-properties-2209.12960</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/distinguished-classes-of-ideal-spaces-and-their-topological-properties-2209.12960"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/distinguished-classes-of-ideal-spaces-and-their-topological-properties-2209.12960"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-differential-operators-of-low-order-for-an-isolated-hypersurface-singularity-2209.13110</loc><lastmod>2023-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-differential-operators-of-low-order-for-an-isolated-hypersurface-singularity-2209.13110"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-differential-operators-of-low-order-for-an-isolated-hypersurface-singularity-2209.13110"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-the-reduction-number-of-primary-ideal-in-dimension-three-2209.13319</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-reduction-number-of-primary-ideal-in-dimension-three-2209.13319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-reduction-number-of-primary-ideal-in-dimension-three-2209.13319"/></url>
<url><loc>https://scifaro.com/en/abs/reduced-submodules-of-finite-dimensional-polynomial-modules-2209.13447</loc><lastmod>2023-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reduced-submodules-of-finite-dimensional-polynomial-modules-2209.13447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reduced-submodules-of-finite-dimensional-polynomial-modules-2209.13447"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-of-additively-reduced-monoid-semidomains-2209.13817</loc><lastmod>2023-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-of-additively-reduced-monoid-semidomains-2209.13817"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-of-additively-reduced-monoid-semidomains-2209.13817"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-frobenius-closure-of-parameter-ideals-when-the-ring-is-f-injective-on-the-punctured-spectrum-2209.13872</loc><lastmod>2022-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-frobenius-closure-of-parameter-ideals-when-the-ring-is-f-injective-on-the-punctured-spectrum-2209.13872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-frobenius-closure-of-parameter-ideals-when-the-ring-is-f-injective-on-the-punctured-spectrum-2209.13872"/></url>
<url><loc>https://scifaro.com/en/abs/alexander-duals-of-symmetric-simplicial-complexes-and-stanley-reisner-ideals-2209.14132</loc><lastmod>2022-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/alexander-duals-of-symmetric-simplicial-complexes-and-stanley-reisner-ideals-2209.14132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/alexander-duals-of-symmetric-simplicial-complexes-and-stanley-reisner-ideals-2209.14132"/></url>
<url><loc>https://scifaro.com/en/abs/on-gelfand-graded-commutative-rings-2209.14211</loc><lastmod>2022-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gelfand-graded-commutative-rings-2209.14211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gelfand-graded-commutative-rings-2209.14211"/></url>
<url><loc>https://scifaro.com/en/abs/the-mittag-leffler-condition-descents-via-pure-monomorphisms-2209.14929</loc><lastmod>2024-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mittag-leffler-condition-descents-via-pure-monomorphisms-2209.14929"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mittag-leffler-condition-descents-via-pure-monomorphisms-2209.14929"/></url>
<url><loc>https://scifaro.com/en/abs/indecomposable-pure-injective-objects-in-stable-categories-of-gorenstein-projective-modules-over-gorenstein-orders-2209.15630</loc><lastmod>2022-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indecomposable-pure-injective-objects-in-stable-categories-of-gorenstein-projective-modules-over-gorenstein-orders-2209.15630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indecomposable-pure-injective-objects-in-stable-categories-of-gorenstein-projective-modules-over-gorenstein-orders-2209.15630"/></url>
<url><loc>https://scifaro.com/en/abs/behaviour-of-the-normalized-depth-function-2210.00210</loc><lastmod>2023-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/behaviour-of-the-normalized-depth-function-2210.00210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/behaviour-of-the-normalized-depth-function-2210.00210"/></url>
<url><loc>https://scifaro.com/en/abs/semi-r-ideals-of-commutative-rings-2210.00249</loc><lastmod>2022-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-r-ideals-of-commutative-rings-2210.00249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-r-ideals-of-commutative-rings-2210.00249"/></url>
<url><loc>https://scifaro.com/en/abs/using-matrix-sparsification-to-solve-tropical-linear-vector-equations-2210.00384</loc><lastmod>2024-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/using-matrix-sparsification-to-solve-tropical-linear-vector-equations-2210.00384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/using-matrix-sparsification-to-solve-tropical-linear-vector-equations-2210.00384"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-of-n-semidualizing-modules-2210.00711</loc><lastmod>2022-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-of-n-semidualizing-modules-2210.00711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-of-n-semidualizing-modules-2210.00711"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-factorization-invariants-of-arithmetical-congruence-monoids-2210.01224</loc><lastmod>2023-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-factorization-invariants-of-arithmetical-congruence-monoids-2210.01224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-factorization-invariants-of-arithmetical-congruence-monoids-2210.01224"/></url>
<url><loc>https://scifaro.com/en/abs/conic-divisorial-ideals-of-toric-rings-and-applications-to-hibi-rings-and-stable-set-rings-2210.02031</loc><lastmod>2025-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conic-divisorial-ideals-of-toric-rings-and-applications-to-hibi-rings-and-stable-set-rings-2210.02031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conic-divisorial-ideals-of-toric-rings-and-applications-to-hibi-rings-and-stable-set-rings-2210.02031"/></url>
<url><loc>https://scifaro.com/en/abs/some-hyperideals-defined-on-the-basis-of-the-intersection-of-all-n-ary-prime-hyperideals-2210.02567</loc><lastmod>2022-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-hyperideals-defined-on-the-basis-of-the-intersection-of-all-n-ary-prime-hyperideals-2210.02567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-hyperideals-defined-on-the-basis-of-the-intersection-of-all-n-ary-prime-hyperideals-2210.02567"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-grothendieck-ring-and-the-relation-of-its-group-of-units-with-the-picard-group-2210.02951</loc><lastmod>2026-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-grothendieck-ring-and-the-relation-of-its-group-of-units-with-the-picard-group-2210.02951"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-grothendieck-ring-and-the-relation-of-its-group-of-units-with-the-picard-group-2210.02951"/></url>
<url><loc>https://scifaro.com/en/abs/purity-of-monoids-and-characteristic-free-splittings-in-semigroup-rings-2210.03358</loc><lastmod>2023-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/purity-of-monoids-and-characteristic-free-splittings-in-semigroup-rings-2210.03358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/purity-of-monoids-and-characteristic-free-splittings-in-semigroup-rings-2210.03358"/></url>
<url><loc>https://scifaro.com/en/abs/an-alexandrov-topology-for-maximal-cohen-macaulay-modules-2210.03532</loc><lastmod>2022-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-alexandrov-topology-for-maximal-cohen-macaulay-modules-2210.03532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-alexandrov-topology-for-maximal-cohen-macaulay-modules-2210.03532"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-z-circ-submodules-of-a-reduced-multiplication-2210.03626</loc><lastmod>2022-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-z-circ-submodules-of-a-reduced-multiplication-2210.03626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-z-circ-submodules-of-a-reduced-multiplication-2210.03626"/></url>
<url><loc>https://scifaro.com/en/abs/the-general-arason-pfister-hauptsatz-2210.03784</loc><lastmod>2024-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-general-arason-pfister-hauptsatz-2210.03784"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-general-arason-pfister-hauptsatz-2210.03784"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-split-rings-2210.03872</loc><lastmod>2023-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-split-rings-2210.03872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-split-rings-2210.03872"/></url>
<url><loc>https://scifaro.com/en/abs/trace-ideal-and-annihilator-of-ext-and-tor-of-regular-fractional-ideals-and-some-applications-2210.03891</loc><lastmod>2022-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trace-ideal-and-annihilator-of-ext-and-tor-of-regular-fractional-ideals-and-some-applications-2210.03891"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trace-ideal-and-annihilator-of-ext-and-tor-of-regular-fractional-ideals-and-some-applications-2210.03891"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-of-radical-li-li-type-ideals-associated-with-partitions-2210.04762</loc><lastmod>2023-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-of-radical-li-li-type-ideals-associated-with-partitions-2210.04762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-of-radical-li-li-type-ideals-associated-with-partitions-2210.04762"/></url>
<url><loc>https://scifaro.com/en/abs/pontryagin-duality-for-modules-over-compact-discrete-valuation-rings-2210.05838</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pontryagin-duality-for-modules-over-compact-discrete-valuation-rings-2210.05838"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pontryagin-duality-for-modules-over-compact-discrete-valuation-rings-2210.05838"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-rees-algebras-and-set-theoretic-complete-intersections-2210.05886</loc><lastmod>2022-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-rees-algebras-and-set-theoretic-complete-intersections-2210.05886"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-rees-algebras-and-set-theoretic-complete-intersections-2210.05886"/></url>
<url><loc>https://scifaro.com/en/abs/on-polynomial-invariant-rings-in-modular-invariant-theory-2210.05945</loc><lastmod>2024-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-polynomial-invariant-rings-in-modular-invariant-theory-2210.05945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-polynomial-invariant-rings-in-modular-invariant-theory-2210.05945"/></url>
<url><loc>https://scifaro.com/en/abs/length-factoriality-and-pure-irreducibility-2210.06638</loc><lastmod>2024-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/length-factoriality-and-pure-irreducibility-2210.06638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/length-factoriality-and-pure-irreducibility-2210.06638"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-associated-graded-ring-of-semigroup-algebras-2210.07520</loc><lastmod>2022-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-associated-graded-ring-of-semigroup-algebras-2210.07520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-associated-graded-ring-of-semigroup-algebras-2210.07520"/></url>
<url><loc>https://scifaro.com/en/abs/dualities-and-equivalences-of-the-category-of-relative-cohen-macaulay-modules-2210.08551</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dualities-and-equivalences-of-the-category-of-relative-cohen-macaulay-modules-2210.08551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dualities-and-equivalences-of-the-category-of-relative-cohen-macaulay-modules-2210.08551"/></url>
<url><loc>https://scifaro.com/en/abs/the-gamma-construction-and-permanence-properties-of-the-relative-f-rational-signature-2210.08581</loc><lastmod>2024-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-gamma-construction-and-permanence-properties-of-the-relative-f-rational-signature-2210.08581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-gamma-construction-and-permanence-properties-of-the-relative-f-rational-signature-2210.08581"/></url>
<url><loc>https://scifaro.com/en/abs/certain-endomorphism-rings-of-local-cohomology-modules-and-lyubeznik-numbers-2210.09144</loc><lastmod>2023-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/certain-endomorphism-rings-of-local-cohomology-modules-and-lyubeznik-numbers-2210.09144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/certain-endomorphism-rings-of-local-cohomology-modules-and-lyubeznik-numbers-2210.09144"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-for-the-defect-of-rank-one-valued-field-extensions-2210.09157</loc><lastmod>2022-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-for-the-defect-of-rank-one-valued-field-extensions-2210.09157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-for-the-defect-of-rank-one-valued-field-extensions-2210.09157"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-pseudo-mv-algebras-with-square-roots-2210.09350</loc><lastmod>2022-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-pseudo-mv-algebras-with-square-roots-2210.09350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-pseudo-mv-algebras-with-square-roots-2210.09350"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-the-natural-embeddings-of-classical-invariant-rings-pure-2210.09351</loc><lastmod>2023-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-the-natural-embeddings-of-classical-invariant-rings-pure-2210.09351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-the-natural-embeddings-of-classical-invariant-rings-pure-2210.09351"/></url>
<url><loc>https://scifaro.com/en/abs/log-concavity-of-level-hilbert-functions-and-pure-o-sequences-2210.09447</loc><lastmod>2024-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/log-concavity-of-level-hilbert-functions-and-pure-o-sequences-2210.09447"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/log-concavity-of-level-hilbert-functions-and-pure-o-sequences-2210.09447"/></url>
<url><loc>https://scifaro.com/en/abs/depth-stability-of-cover-ideals-2210.09528</loc><lastmod>2022-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-stability-of-cover-ideals-2210.09528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-stability-of-cover-ideals-2210.09528"/></url>
<url><loc>https://scifaro.com/en/abs/rank-and-rigidity-of-locally-nilpotent-derivations-of-affine-fibrations-2210.10285</loc><lastmod>2022-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rank-and-rigidity-of-locally-nilpotent-derivations-of-affine-fibrations-2210.10285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rank-and-rigidity-of-locally-nilpotent-derivations-of-affine-fibrations-2210.10285"/></url>
<url><loc>https://scifaro.com/en/abs/root-closure-of-ideals-2210.11979</loc><lastmod>2022-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/root-closure-of-ideals-2210.11979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/root-closure-of-ideals-2210.11979"/></url>
<url><loc>https://scifaro.com/en/abs/derivation-module-and-the-hilbert-kunz-multiplicity-of-the-co-ordinate-ring-of-a-projective-monomial-curve-2210.12143</loc><lastmod>2023-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derivation-module-and-the-hilbert-kunz-multiplicity-of-the-co-ordinate-ring-of-a-projective-monomial-curve-2210.12143"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derivation-module-and-the-hilbert-kunz-multiplicity-of-the-co-ordinate-ring-of-a-projective-monomial-curve-2210.12143"/></url>
<url><loc>https://scifaro.com/en/abs/finitely-generated-coreduced-comultiplication-modules-2210.12479</loc><lastmod>2022-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finitely-generated-coreduced-comultiplication-modules-2210.12479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finitely-generated-coreduced-comultiplication-modules-2210.12479"/></url>
<url><loc>https://scifaro.com/en/abs/non-simple-polyominoes-of-k-h-o-nig-type-and-their-canonical-module-2210.12665</loc><lastmod>2025-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-simple-polyominoes-of-k-h-o-nig-type-and-their-canonical-module-2210.12665"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-simple-polyominoes-of-k-h-o-nig-type-and-their-canonical-module-2210.12665"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-relative-sequentially-cohen-macaulay-and-relative-cohen-macaulay-modules-2210.12666</loc><lastmod>2022-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-relative-sequentially-cohen-macaulay-and-relative-cohen-macaulay-modules-2210.12666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-relative-sequentially-cohen-macaulay-and-relative-cohen-macaulay-modules-2210.12666"/></url>
<url><loc>https://scifaro.com/en/abs/on-rees-algebras-of-2-determinantal-ideals-2210.12668</loc><lastmod>2024-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rees-algebras-of-2-determinantal-ideals-2210.12668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rees-algebras-of-2-determinantal-ideals-2210.12668"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-affine-veronese-surfaces-2210.12781</loc><lastmod>2022-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-affine-veronese-surfaces-2210.12781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-affine-veronese-surfaces-2210.12781"/></url>
<url><loc>https://scifaro.com/en/abs/limits-of-saturated-ideals-2210.13579</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/limits-of-saturated-ideals-2210.13579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/limits-of-saturated-ideals-2210.13579"/></url>
<url><loc>https://scifaro.com/en/abs/row-factorization-matrices-in-arf-numerical-semigroups-and-defining-ideals-2210.14856</loc><lastmod>2025-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/row-factorization-matrices-in-arf-numerical-semigroups-and-defining-ideals-2210.14856"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/row-factorization-matrices-in-arf-numerical-semigroups-and-defining-ideals-2210.14856"/></url>
<url><loc>https://scifaro.com/en/abs/generating-residual-intersections-of-determinantal-ideals-2210.15005</loc><lastmod>2022-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generating-residual-intersections-of-determinantal-ideals-2210.15005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generating-residual-intersections-of-determinantal-ideals-2210.15005"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-cohomological-support-varieties-2210.15574</loc><lastmod>2024-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-cohomological-support-varieties-2210.15574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-cohomological-support-varieties-2210.15574"/></url>
<url><loc>https://scifaro.com/en/abs/a-sharp-bound-for-the-resurgence-of-sums-of-ideals-2210.15606</loc><lastmod>2022-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sharp-bound-for-the-resurgence-of-sums-of-ideals-2210.15606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sharp-bound-for-the-resurgence-of-sums-of-ideals-2210.15606"/></url>
<url><loc>https://scifaro.com/en/abs/equivariant-resolutions-over-veronese-rings-2210.16342</loc><lastmod>2024-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equivariant-resolutions-over-veronese-rings-2210.16342"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equivariant-resolutions-over-veronese-rings-2210.16342"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-about-normal-rings-2210.16588</loc><lastmod>2022-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-about-normal-rings-2210.16588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-about-normal-rings-2210.16588"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-projectively-coresolved-gorenstein-flat-modules-2210.16816</loc><lastmod>2023-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-projectively-coresolved-gorenstein-flat-modules-2210.16816"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-projectively-coresolved-gorenstein-flat-modules-2210.16816"/></url>
<url><loc>https://scifaro.com/en/abs/the-integral-closure-of-a-primary-ideal-is-not-always-primary-2210.16824</loc><lastmod>2022-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-integral-closure-of-a-primary-ideal-is-not-always-primary-2210.16824"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-integral-closure-of-a-primary-ideal-is-not-always-primary-2210.16824"/></url>
<url><loc>https://scifaro.com/en/abs/cancellation-of-projective-modules-in-polynomial-rings-of-prime-characteristic-2210.17337</loc><lastmod>2022-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cancellation-of-projective-modules-in-polynomial-rings-of-prime-characteristic-2210.17337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cancellation-of-projective-modules-in-polynomial-rings-of-prime-characteristic-2210.17337"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-homological-dimension-and-some-invariants-of-groups-2211.02221</loc><lastmod>2023-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-homological-dimension-and-some-invariants-of-groups-2211.02221"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-homological-dimension-and-some-invariants-of-groups-2211.02221"/></url>
<url><loc>https://scifaro.com/en/abs/the-geometricdecomposability-package-for-macaulay2-2211.02471</loc><lastmod>2024-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-geometricdecomposability-package-for-macaulay2-2211.02471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-geometricdecomposability-package-for-macaulay2-2211.02471"/></url>
<url><loc>https://scifaro.com/en/abs/on-localization-of-tight-closure-in-line-s-4-quartics-2211.03220</loc><lastmod>2022-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-localization-of-tight-closure-in-line-s-4-quartics-2211.03220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-localization-of-tight-closure-in-line-s-4-quartics-2211.03220"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-density-function-of-tensor-product-and-fourier-transformation-2211.03315</loc><lastmod>2022-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-density-function-of-tensor-product-and-fourier-transformation-2211.03315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-density-function-of-tensor-product-and-fourier-transformation-2211.03315"/></url>
<url><loc>https://scifaro.com/en/abs/barile-macchia-resolutions-2211.04640</loc><lastmod>2024-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/barile-macchia-resolutions-2211.04640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/barile-macchia-resolutions-2211.04640"/></url>
<url><loc>https://scifaro.com/en/abs/the-stanley-reisner-ideal-of-the-rook-complex-of-polyominoes-2211.04820</loc><lastmod>2022-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stanley-reisner-ideal-of-the-rook-complex-of-polyominoes-2211.04820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stanley-reisner-ideal-of-the-rook-complex-of-polyominoes-2211.04820"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-edge-ideals-of-corona-product-of-certain-graphs-2211.05721</loc><lastmod>2023-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-edge-ideals-of-corona-product-of-certain-graphs-2211.05721"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-edge-ideals-of-corona-product-of-certain-graphs-2211.05721"/></url>
<url><loc>https://scifaro.com/en/abs/on-composition-and-right-distributive-law-for-formal-power-series-of-multiple-variables-2211.06879</loc><lastmod>2026-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-composition-and-right-distributive-law-for-formal-power-series-of-multiple-variables-2211.06879"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-composition-and-right-distributive-law-for-formal-power-series-of-multiple-variables-2211.06879"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-submaximal-minors-of-sparse-symmetric-matrices-2211.07020</loc><lastmod>2022-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-submaximal-minors-of-sparse-symmetric-matrices-2211.07020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-submaximal-minors-of-sparse-symmetric-matrices-2211.07020"/></url>
<url><loc>https://scifaro.com/en/abs/linkage-and-f-regularity-of-determinantal-rings-2211.07922</loc><lastmod>2024-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linkage-and-f-regularity-of-determinantal-rings-2211.07922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linkage-and-f-regularity-of-determinantal-rings-2211.07922"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-polynomials-over-finite-fields-2211.08124</loc><lastmod>2022-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-polynomials-over-finite-fields-2211.08124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-polynomials-over-finite-fields-2211.08124"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-in-the-monoid-of-integrally-closed-ideals-2211.08391</loc><lastmod>2022-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-in-the-monoid-of-integrally-closed-ideals-2211.08391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-in-the-monoid-of-integrally-closed-ideals-2211.08391"/></url>
<url><loc>https://scifaro.com/en/abs/differentiably-simple-rings-and-ring-extensions-defined-by-p-basis-2211.09125</loc><lastmod>2024-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differentiably-simple-rings-and-ring-extensions-defined-by-p-basis-2211.09125"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differentiably-simple-rings-and-ring-extensions-defined-by-p-basis-2211.09125"/></url>
<url><loc>https://scifaro.com/en/abs/on-an-example-of-nagarajan-2211.09230</loc><lastmod>2023-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-an-example-of-nagarajan-2211.09230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-an-example-of-nagarajan-2211.09230"/></url>
<url><loc>https://scifaro.com/en/abs/valuations-and-nonzero-torsion-in-module-of-differentials-2211.10399</loc><lastmod>2022-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuations-and-nonzero-torsion-in-module-of-differentials-2211.10399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuations-and-nonzero-torsion-in-module-of-differentials-2211.10399"/></url>
<url><loc>https://scifaro.com/en/abs/graded-local-cohomology-of-modules-over-semigroup-rings-2211.10577</loc><lastmod>2022-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-local-cohomology-of-modules-over-semigroup-rings-2211.10577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-local-cohomology-of-modules-over-semigroup-rings-2211.10577"/></url>
<url><loc>https://scifaro.com/en/abs/steps-in-anderson-badawis-conjecture-on-n-absorbing-and-strongly-n-absorbing-ideals-2211.10619</loc><lastmod>2022-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/steps-in-anderson-badawis-conjecture-on-n-absorbing-and-strongly-n-absorbing-ideals-2211.10619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/steps-in-anderson-badawis-conjecture-on-n-absorbing-and-strongly-n-absorbing-ideals-2211.10619"/></url>
<url><loc>https://scifaro.com/en/abs/the-saturation-number-of-monomial-ideals-2211.10982</loc><lastmod>2023-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-saturation-number-of-monomial-ideals-2211.10982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-saturation-number-of-monomial-ideals-2211.10982"/></url>
<url><loc>https://scifaro.com/en/abs/linear-resolutions-of-t-spread-lexsegment-ideals-via-betti-splittings-2211.11026</loc><lastmod>2022-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-resolutions-of-t-spread-lexsegment-ideals-via-betti-splittings-2211.11026"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-resolutions-of-t-spread-lexsegment-ideals-via-betti-splittings-2211.11026"/></url>
<url><loc>https://scifaro.com/en/abs/vector-invariants-of-permutation-groups-in-characteristic-zero-2211.11091</loc><lastmod>2022-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-invariants-of-permutation-groups-in-characteristic-zero-2211.11091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-invariants-of-permutation-groups-in-characteristic-zero-2211.11091"/></url>
<url><loc>https://scifaro.com/en/abs/cartier-crystals-have-finite-global-dimension-2211.11466</loc><lastmod>2022-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cartier-crystals-have-finite-global-dimension-2211.11466"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cartier-crystals-have-finite-global-dimension-2211.11466"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-index-of-the-generalized-minimum-distance-function-2211.11927</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-index-of-the-generalized-minimum-distance-function-2211.11927"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-index-of-the-generalized-minimum-distance-function-2211.11927"/></url>
<url><loc>https://scifaro.com/en/abs/the-asymptotic-samuel-function-of-a-filtration-2211.13205</loc><lastmod>2022-11-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-asymptotic-samuel-function-of-a-filtration-2211.13205"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-asymptotic-samuel-function-of-a-filtration-2211.13205"/></url>
<url><loc>https://scifaro.com/en/abs/global-perinormality-in-a-generalized-d-m-construction-2211.13412</loc><lastmod>2023-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/global-perinormality-in-a-generalized-d-m-construction-2211.13412"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/global-perinormality-in-a-generalized-d-m-construction-2211.13412"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-stanley-s-theorem-on-the-strong-lefschetz-property-2211.13548</loc><lastmod>2022-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-stanley-s-theorem-on-the-strong-lefschetz-property-2211.13548"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-stanley-s-theorem-on-the-strong-lefschetz-property-2211.13548"/></url>
<url><loc>https://scifaro.com/en/abs/hadamard-products-and-binomial-ideals-2211.14210</loc><lastmod>2022-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hadamard-products-and-binomial-ideals-2211.14210"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hadamard-products-and-binomial-ideals-2211.14210"/></url>
<url><loc>https://scifaro.com/en/abs/multigraded-tor-and-local-cohomology-2211.14357</loc><lastmod>2022-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multigraded-tor-and-local-cohomology-2211.14357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multigraded-tor-and-local-cohomology-2211.14357"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-phi-flat-modules-strongly-nonnil-injective-modules-and-their-homological-dimensions-2211.14681</loc><lastmod>2023-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-phi-flat-modules-strongly-nonnil-injective-modules-and-their-homological-dimensions-2211.14681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-phi-flat-modules-strongly-nonnil-injective-modules-and-their-homological-dimensions-2211.14681"/></url>
<url><loc>https://scifaro.com/en/abs/on-powers-of-the-cover-ideals-of-graphs-2211.15796</loc><lastmod>2023-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-powers-of-the-cover-ideals-of-graphs-2211.15796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-powers-of-the-cover-ideals-of-graphs-2211.15796"/></url>
<url><loc>https://scifaro.com/en/abs/bracket-polynomial-expression-of-discriminant-resultants-as-sl2-invariant-2211.15862</loc><lastmod>2022-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bracket-polynomial-expression-of-discriminant-resultants-as-sl2-invariant-2211.15862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bracket-polynomial-expression-of-discriminant-resultants-as-sl2-invariant-2211.15862"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2211.15981</loc><lastmod>2023-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2211.15981"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-absolutely-irreducible-integer-valued-polynomials-over-discrete-valuation-domains-2211.15981"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-variety-for-matrix-semi-invariants-2211.17088</loc><lastmod>2022-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-variety-for-matrix-semi-invariants-2211.17088"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-variety-for-matrix-semi-invariants-2211.17088"/></url>
<url><loc>https://scifaro.com/en/abs/the-canonical-trace-of-determinantal-rings-2212.00393</loc><lastmod>2022-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-canonical-trace-of-determinantal-rings-2212.00393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-canonical-trace-of-determinantal-rings-2212.00393"/></url>
<url><loc>https://scifaro.com/en/abs/dirac-s-theorem-and-multigraded-syzygies-2212.00395</loc><lastmod>2022-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dirac-s-theorem-and-multigraded-syzygies-2212.00395"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dirac-s-theorem-and-multigraded-syzygies-2212.00395"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-ishida-complex-with-applications-2212.01511</loc><lastmod>2022-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-ishida-complex-with-applications-2212.01511"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-ishida-complex-with-applications-2212.01511"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-m-n-closed-delta-primary-ideals-of-commutative-rings-2212.01916</loc><lastmod>2022-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-m-n-closed-delta-primary-ideals-of-commutative-rings-2212.01916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-m-n-closed-delta-primary-ideals-of-commutative-rings-2212.01916"/></url>
<url><loc>https://scifaro.com/en/abs/graver-bases-of-shifted-numerical-semigroups-with-3-generators-2212.02373</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graver-bases-of-shifted-numerical-semigroups-with-3-generators-2212.02373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graver-bases-of-shifted-numerical-semigroups-with-3-generators-2212.02373"/></url>
<url><loc>https://scifaro.com/en/abs/recovering-affine-linearity-of-functions-from-their-restrictions-to-affine-lines-2212.02429</loc><lastmod>2023-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/recovering-affine-linearity-of-functions-from-their-restrictions-to-affine-lines-2212.02429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/recovering-affine-linearity-of-functions-from-their-restrictions-to-affine-lines-2212.02429"/></url>
<url><loc>https://scifaro.com/en/abs/convexity-in-colored-affine-semigroups-2212.02452</loc><lastmod>2023-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/convexity-in-colored-affine-semigroups-2212.02452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/convexity-in-colored-affine-semigroups-2212.02452"/></url>
<url><loc>https://scifaro.com/en/abs/duality-between-injective-envelopes-and-flat-covers-2212.02554</loc><lastmod>2023-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-between-injective-envelopes-and-flat-covers-2212.02554"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-between-injective-envelopes-and-flat-covers-2212.02554"/></url>
<url><loc>https://scifaro.com/en/abs/iterated-mapping-cones-on-the-koszul-complex-and-their-application-to-complete-intersection-rings-2212.02606</loc><lastmod>2024-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterated-mapping-cones-on-the-koszul-complex-and-their-application-to-complete-intersection-rings-2212.02606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterated-mapping-cones-on-the-koszul-complex-and-their-application-to-complete-intersection-rings-2212.02606"/></url>
<url><loc>https://scifaro.com/en/abs/differentially-fixed-ideals-in-toric-varieties-2212.02696</loc><lastmod>2022-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differentially-fixed-ideals-in-toric-varieties-2212.02696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differentially-fixed-ideals-in-toric-varieties-2212.02696"/></url>
<url><loc>https://scifaro.com/en/abs/tau-i-elasticity-for-quotients-of-order-four-2212.03204</loc><lastmod>2022-12-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tau-i-elasticity-for-quotients-of-order-four-2212.03204"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tau-i-elasticity-for-quotients-of-order-four-2212.03204"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-to-determine-residual-coordinates-of-mathbb-a-2-fibrations-2212.03488</loc><lastmod>2023-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-to-determine-residual-coordinates-of-mathbb-a-2-fibrations-2212.03488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-to-determine-residual-coordinates-of-mathbb-a-2-fibrations-2212.03488"/></url>
<url><loc>https://scifaro.com/en/abs/boij-s-oderberg-conjectures-for-differential-modules-2212.03794</loc><lastmod>2023-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boij-s-oderberg-conjectures-for-differential-modules-2212.03794"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boij-s-oderberg-conjectures-for-differential-modules-2212.03794"/></url>
<url><loc>https://scifaro.com/en/abs/locally-nilpotent-derivations-on-mathbb-a-2-fibrations-with-mathbb-a-1-fibration-kernels-2212.04435</loc><lastmod>2023-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-nilpotent-derivations-on-mathbb-a-2-fibrations-with-mathbb-a-1-fibration-kernels-2212.04435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-nilpotent-derivations-on-mathbb-a-2-fibrations-with-mathbb-a-1-fibration-kernels-2212.04435"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-local-rings-via-reducing-dimensions-2212.05220</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-local-rings-via-reducing-dimensions-2212.05220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-local-rings-via-reducing-dimensions-2212.05220"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2212.05444</loc><lastmod>2023-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2212.05444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2212.05444"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-co-homology-freeness-criteria-and-the-auslander-reiten-conjecture-for-cohen-macaulay-burch-rings-2212.05521</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-co-homology-freeness-criteria-and-the-auslander-reiten-conjecture-for-cohen-macaulay-burch-rings-2212.05521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-co-homology-freeness-criteria-and-the-auslander-reiten-conjecture-for-cohen-macaulay-burch-rings-2212.05521"/></url>
<url><loc>https://scifaro.com/en/abs/the-critical-and-cocritical-degrees-of-a-totally-acyclic-complex-over-a-complete-intersection-2212.05567</loc><lastmod>2022-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-critical-and-cocritical-degrees-of-a-totally-acyclic-complex-over-a-complete-intersection-2212.05567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-critical-and-cocritical-degrees-of-a-totally-acyclic-complex-over-a-complete-intersection-2212.05567"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-property-of-binomial-edge-ideals-with-girth-of-graphs-2212.05708</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-property-of-binomial-edge-ideals-with-girth-of-graphs-2212.05708"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-property-of-binomial-edge-ideals-with-girth-of-graphs-2212.05708"/></url>
<url><loc>https://scifaro.com/en/abs/divisibility-and-a-weak-ascending-chain-condition-on-principal-ideals-2212.06213</loc><lastmod>2022-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisibility-and-a-weak-ascending-chain-condition-on-principal-ideals-2212.06213"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisibility-and-a-weak-ascending-chain-condition-on-principal-ideals-2212.06213"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-regularity-of-invariant-chains-of-edge-ideals-2212.06621</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-regularity-of-invariant-chains-of-edge-ideals-2212.06621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-regularity-of-invariant-chains-of-edge-ideals-2212.06621"/></url>
<url><loc>https://scifaro.com/en/abs/on-extending-c-k-functions-from-an-open-set-to-r-with-applications-2212.06652</loc><lastmod>2022-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-extending-c-k-functions-from-an-open-set-to-r-with-applications-2212.06652"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-extending-c-k-functions-from-an-open-set-to-r-with-applications-2212.06652"/></url>
<url><loc>https://scifaro.com/en/abs/absolute-integral-closures-of-commutative-rings-2212.06738</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absolute-integral-closures-of-commutative-rings-2212.06738"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absolute-integral-closures-of-commutative-rings-2212.06738"/></url>
<url><loc>https://scifaro.com/en/abs/socle-degrees-for-local-cohomology-modules-of-thickenings-of-maximal-minors-and-sub-maximal-pfaffians-2212.06899</loc><lastmod>2023-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/socle-degrees-for-local-cohomology-modules-of-thickenings-of-maximal-minors-and-sub-maximal-pfaffians-2212.06899"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/socle-degrees-for-local-cohomology-modules-of-thickenings-of-maximal-minors-and-sub-maximal-pfaffians-2212.06899"/></url>
<url><loc>https://scifaro.com/en/abs/a-taylor-resolution-over-complete-intersections-2212.06999</loc><lastmod>2022-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-taylor-resolution-over-complete-intersections-2212.06999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-taylor-resolution-over-complete-intersections-2212.06999"/></url>
<url><loc>https://scifaro.com/en/abs/relative-homological-rings-and-modules-2212.07122</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-homological-rings-and-modules-2212.07122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-homological-rings-and-modules-2212.07122"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-of-burch-ideals-submodules-and-quotients-2212.07418</loc><lastmod>2024-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-of-burch-ideals-submodules-and-quotients-2212.07418"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-of-burch-ideals-submodules-and-quotients-2212.07418"/></url>
<url><loc>https://scifaro.com/en/abs/when-is-a-numerical-semigroup-a-quotient-2212.08285</loc><lastmod>2022-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-is-a-numerical-semigroup-a-quotient-2212.08285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-is-a-numerical-semigroup-a-quotient-2212.08285"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-atomic-structure-of-torsion-free-monoids-2212.08347</loc><lastmod>2023-11-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-atomic-structure-of-torsion-free-monoids-2212.08347"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-atomic-structure-of-torsion-free-monoids-2212.08347"/></url>
<url><loc>https://scifaro.com/en/abs/on-reduction-numbers-and-castelnuovo-mumford-regularity-of-blowup-rings-and-modules-2212.08428</loc><lastmod>2022-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-reduction-numbers-and-castelnuovo-mumford-regularity-of-blowup-rings-and-modules-2212.08428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-reduction-numbers-and-castelnuovo-mumford-regularity-of-blowup-rings-and-modules-2212.08428"/></url>
<url><loc>https://scifaro.com/en/abs/rigid-modules-and-homological-dimensions-2212.08442</loc><lastmod>2022-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigid-modules-and-homological-dimensions-2212.08442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigid-modules-and-homological-dimensions-2212.08442"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-tors-of-absolute-integral-closures-in-equicharacteristic-zero-2212.09025</loc><lastmod>2022-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-tors-of-absolute-integral-closures-in-equicharacteristic-zero-2212.09025"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-tors-of-absolute-integral-closures-in-equicharacteristic-zero-2212.09025"/></url>
<url><loc>https://scifaro.com/en/abs/finite-birational-extension-with-stable-conductor-2212.09087</loc><lastmod>2022-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-birational-extension-with-stable-conductor-2212.09087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-birational-extension-with-stable-conductor-2212.09087"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-graphs-2212.09181</loc><lastmod>2022-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-graphs-2212.09181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-binomial-edge-ideals-of-small-graphs-2212.09181"/></url>
<url><loc>https://scifaro.com/en/abs/polarizations-of-artin-monomial-ideals-2212.09528</loc><lastmod>2026-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarizations-of-artin-monomial-ideals-2212.09528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarizations-of-artin-monomial-ideals-2212.09528"/></url>
<url><loc>https://scifaro.com/en/abs/on-l-ojasiewicz-inequalities-and-the-effective-putinar-s-positivstellensatz-2212.09551</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-l-ojasiewicz-inequalities-and-the-effective-putinar-s-positivstellensatz-2212.09551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-l-ojasiewicz-inequalities-and-the-effective-putinar-s-positivstellensatz-2212.09551"/></url>
<url><loc>https://scifaro.com/en/abs/n-absorbing-i-primary-ideals-in-commutative-rings-2212.09883</loc><lastmod>2022-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-absorbing-i-primary-ideals-in-commutative-rings-2212.09883"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-absorbing-i-primary-ideals-in-commutative-rings-2212.09883"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-functions-normal-polynomials-and-polynomial-equations-2212.10115</loc><lastmod>2025-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-functions-normal-polynomials-and-polynomial-equations-2212.10115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-functions-normal-polynomials-and-polynomial-equations-2212.10115"/></url>
<url><loc>https://scifaro.com/en/abs/local-colocal-and-antilocal-properties-of-modules-and-complexes-over-commutative-rings-2212.10163</loc><lastmod>2024-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-colocal-and-antilocal-properties-of-modules-and-complexes-over-commutative-rings-2212.10163"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-colocal-and-antilocal-properties-of-modules-and-complexes-over-commutative-rings-2212.10163"/></url>
<url><loc>https://scifaro.com/en/abs/homology-with-the-theme-of-matlis-2212.10332</loc><lastmod>2023-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-with-the-theme-of-matlis-2212.10332"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-with-the-theme-of-matlis-2212.10332"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-and-generalized-depth-like-conditions-in-prime-characteristic-2212.11374</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-and-generalized-depth-like-conditions-in-prime-characteristic-2212.11374"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-and-generalized-depth-like-conditions-in-prime-characteristic-2212.11374"/></url>
<url><loc>https://scifaro.com/en/abs/relative-cohen-macaulay-modules-under-ring-homomorphisms-2212.12027</loc><lastmod>2022-12-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-cohen-macaulay-modules-under-ring-homomorphisms-2212.12027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-cohen-macaulay-modules-under-ring-homomorphisms-2212.12027"/></url>
<url><loc>https://scifaro.com/en/abs/waring-numbers-over-finite-commutative-local-rings-2212.12396</loc><lastmod>2023-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/waring-numbers-over-finite-commutative-local-rings-2212.12396"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/waring-numbers-over-finite-commutative-local-rings-2212.12396"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-gorenstein-local-rings-2212.12762</loc><lastmod>2026-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-gorenstein-local-rings-2212.12762"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-gorenstein-local-rings-2212.12762"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-betti-numbers-of-monomial-ideals-and-their-powers-2212.12828</loc><lastmod>2022-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-monomial-ideals-and-their-powers-2212.12828"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-betti-numbers-of-monomial-ideals-and-their-powers-2212.12828"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-series-of-the-tangent-cones-for-some-4-generated-pseudo-2-symmetric-monomial-curves-2212.13494</loc><lastmod>2023-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-the-tangent-cones-for-some-4-generated-pseudo-2-symmetric-monomial-curves-2212.13494"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-series-of-the-tangent-cones-for-some-4-generated-pseudo-2-symmetric-monomial-curves-2212.13494"/></url>
<url><loc>https://scifaro.com/en/abs/numbers-of-generators-of-perfect-ideals-2212.13620</loc><lastmod>2022-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numbers-of-generators-of-perfect-ideals-2212.13620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numbers-of-generators-of-perfect-ideals-2212.13620"/></url>
<url><loc>https://scifaro.com/en/abs/idempotent-completions-of-equivariant-matrix-factorization-categories-2212.14469</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/idempotent-completions-of-equivariant-matrix-factorization-categories-2212.14469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/idempotent-completions-of-equivariant-matrix-factorization-categories-2212.14469"/></url>
<url><loc>https://scifaro.com/en/abs/tensors-in-statistics-and-rigidity-theory-2212.14752</loc><lastmod>2023-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensors-in-statistics-and-rigidity-theory-2212.14752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensors-in-statistics-and-rigidity-theory-2212.14752"/></url>
<url><loc>https://scifaro.com/en/abs/decreasing-behavior-of-the-depth-functions-of-edge-ideals-2212.14792</loc><lastmod>2023-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decreasing-behavior-of-the-depth-functions-of-edge-ideals-2212.14792"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decreasing-behavior-of-the-depth-functions-of-edge-ideals-2212.14792"/></url>
<url><loc>https://scifaro.com/en/abs/f-e-modules-with-applications-to-d-modules-2212.14799</loc><lastmod>2023-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-e-modules-with-applications-to-d-modules-2212.14799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-e-modules-with-applications-to-d-modules-2212.14799"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-weak-w-projective-modules-2301.00279</loc><lastmod>2023-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-weak-w-projective-modules-2301.00279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-weak-w-projective-modules-2301.00279"/></url>
<url><loc>https://scifaro.com/en/abs/elias-ideals-2301.00569</loc><lastmod>2023-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elias-ideals-2301.00569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elias-ideals-2301.00569"/></url>
<url><loc>https://scifaro.com/en/abs/classical-prime-subhypermodules-and-related-classes-2301.00875</loc><lastmod>2023-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classical-prime-subhypermodules-and-related-classes-2301.00875"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classical-prime-subhypermodules-and-related-classes-2301.00875"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-modules-of-finite-injective-dimension-2301.01105</loc><lastmod>2026-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-modules-of-finite-injective-dimension-2301.01105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-modules-of-finite-injective-dimension-2301.01105"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-and-depth-inequalities-over-complete-intersections-2301.01384</loc><lastmod>2025-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-and-depth-inequalities-over-complete-intersections-2301.01384"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-and-depth-inequalities-over-complete-intersections-2301.01384"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-very-strong-finite-type-2301.01663</loc><lastmod>2023-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-very-strong-finite-type-2301.01663"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-very-strong-finite-type-2301.01663"/></url>
<url><loc>https://scifaro.com/en/abs/some-ring-theoretic-properties-of-rings-via-frobenius-and-monoidal-maps-2301.01765</loc><lastmod>2026-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-ring-theoretic-properties-of-rings-via-frobenius-and-monoidal-maps-2301.01765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-ring-theoretic-properties-of-rings-via-frobenius-and-monoidal-maps-2301.01765"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-equality-of-test-ideals-2301.02202</loc><lastmod>2024-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equality-of-test-ideals-2301.02202"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equality-of-test-ideals-2301.02202"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decompositions-of-regular-sequences-2301.02285</loc><lastmod>2023-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decompositions-of-regular-sequences-2301.02285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decompositions-of-regular-sequences-2301.02285"/></url>
<url><loc>https://scifaro.com/en/abs/rings-with-q-torsionfree-canonical-modules-2301.02635</loc><lastmod>2023-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-with-q-torsionfree-canonical-modules-2301.02635"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-with-q-torsionfree-canonical-modules-2301.02635"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-a-cohen-type-theorem-for-w-artinian-modules-2301.02772</loc><lastmod>2023-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-a-cohen-type-theorem-for-w-artinian-modules-2301.02772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-a-cohen-type-theorem-for-w-artinian-modules-2301.02772"/></url>
<url><loc>https://scifaro.com/en/abs/characterizations-of-regular-modules-2301.02900</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizations-of-regular-modules-2301.02900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizations-of-regular-modules-2301.02900"/></url>
<url><loc>https://scifaro.com/en/abs/free-divisors-blowup-algebras-of-jacobian-ideals-and-maximal-analytic-spread-2301.03132</loc><lastmod>2023-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-divisors-blowup-algebras-of-jacobian-ideals-and-maximal-analytic-spread-2301.03132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-divisors-blowup-algebras-of-jacobian-ideals-and-maximal-analytic-spread-2301.03132"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-explicit-waring-decompositions-of-a-polynomial-2301.03177</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-explicit-waring-decompositions-of-a-polynomial-2301.03177"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-explicit-waring-decompositions-of-a-polynomial-2301.03177"/></url>
<url><loc>https://scifaro.com/en/abs/integrality-relations-for-polygonal-dissections-2301.03475</loc><lastmod>2024-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integrality-relations-for-polygonal-dissections-2301.03475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integrality-relations-for-polygonal-dissections-2301.03475"/></url>
<url><loc>https://scifaro.com/en/abs/behaviors-of-pairs-of-dimensions-and-depths-of-edge-ideals-2301.04763</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/behaviors-of-pairs-of-dimensions-and-depths-of-edge-ideals-2301.04763"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/behaviors-of-pairs-of-dimensions-and-depths-of-edge-ideals-2301.04763"/></url>
<url><loc>https://scifaro.com/en/abs/subrings-of-polynomial-rings-and-the-conjectures-of-eisenbud-and-evans-2301.05001</loc><lastmod>2025-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subrings-of-polynomial-rings-and-the-conjectures-of-eisenbud-and-evans-2301.05001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subrings-of-polynomial-rings-and-the-conjectures-of-eisenbud-and-evans-2301.05001"/></url>
<url><loc>https://scifaro.com/en/abs/existence-of-unimodular-element-in-a-projective-module-over-symbolic-rees-algebras-2301.05394</loc><lastmod>2024-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-of-unimodular-element-in-a-projective-module-over-symbolic-rees-algebras-2301.05394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-of-unimodular-element-in-a-projective-module-over-symbolic-rees-algebras-2301.05394"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-category-of-cofinite-complexes-and-modules-2301.05771</loc><lastmod>2025-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-category-of-cofinite-complexes-and-modules-2301.05771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-category-of-cofinite-complexes-and-modules-2301.05771"/></url>
<url><loc>https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-height-three-gorenstein-ideals-in-hypersurface-rings-2301.06539</loc><lastmod>2023-01-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-height-three-gorenstein-ideals-in-hypersurface-rings-2301.06539"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-equations-of-rees-algebras-of-height-three-gorenstein-ideals-in-hypersurface-rings-2301.06539"/></url>
<url><loc>https://scifaro.com/en/abs/multivariate-hensel-lemma-for-ultrametric-fields-2301.06546</loc><lastmod>2024-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multivariate-hensel-lemma-for-ultrametric-fields-2301.06546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multivariate-hensel-lemma-for-ultrametric-fields-2301.06546"/></url>
<url><loc>https://scifaro.com/en/abs/inverse-system-of-gorenstein-points-in-mathbb-p-n-res-2301.07056</loc><lastmod>2023-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/inverse-system-of-gorenstein-points-in-mathbb-p-n-res-2301.07056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/inverse-system-of-gorenstein-points-in-mathbb-p-n-res-2301.07056"/></url>
<url><loc>https://scifaro.com/en/abs/when-every-finitely-generated-ideal-is-s-principal-2301.07373</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-every-finitely-generated-ideal-is-s-principal-2301.07373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-every-finitely-generated-ideal-is-s-principal-2301.07373"/></url>
<url><loc>https://scifaro.com/en/abs/finite-local-principal-ideal-rings-2301.07664</loc><lastmod>2025-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-local-principal-ideal-rings-2301.07664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-local-principal-ideal-rings-2301.07664"/></url>
<url><loc>https://scifaro.com/en/abs/notes-on-valuation-theory-for-krasner-hyperfields-2301.08639</loc><lastmod>2023-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/notes-on-valuation-theory-for-krasner-hyperfields-2301.08639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/notes-on-valuation-theory-for-krasner-hyperfields-2301.08639"/></url>
<url><loc>https://scifaro.com/en/abs/rational-normal-curves-chip-firing-and-free-resolutions-2301.09104</loc><lastmod>2024-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-normal-curves-chip-firing-and-free-resolutions-2301.09104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-normal-curves-chip-firing-and-free-resolutions-2301.09104"/></url>
<url><loc>https://scifaro.com/en/abs/linear-syzygies-of-curves-in-weighted-projective-space-2301.09150</loc><lastmod>2025-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-syzygies-of-curves-in-weighted-projective-space-2301.09150"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-syzygies-of-curves-in-weighted-projective-space-2301.09150"/></url>
<url><loc>https://scifaro.com/en/abs/boundness-in-almost-dedekind-domains-2301.09970</loc><lastmod>2023-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/boundness-in-almost-dedekind-domains-2301.09970"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/boundness-in-almost-dedekind-domains-2301.09970"/></url>
<url><loc>https://scifaro.com/en/abs/reflexive-modules-over-the-endomorphism-algebras-of-reflexive-trace-ideals-2301.10401</loc><lastmod>2023-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reflexive-modules-over-the-endomorphism-algebras-of-reflexive-trace-ideals-2301.10401"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reflexive-modules-over-the-endomorphism-algebras-of-reflexive-trace-ideals-2301.10401"/></url>
<url><loc>https://scifaro.com/en/abs/efficient-generation-unimodular-element-in-a-geometric-subring-of-a-polynomial-ring-2301.11033</loc><lastmod>2025-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficient-generation-unimodular-element-in-a-geometric-subring-of-a-polynomial-ring-2301.11033"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficient-generation-unimodular-element-in-a-geometric-subring-of-a-polynomial-ring-2301.11033"/></url>
<url><loc>https://scifaro.com/en/abs/a-comment-on-the-structure-of-graded-modules-over-graded-principal-ideal-domains-in-the-context-of-persistent-homology-2301.11756</loc><lastmod>2023-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-comment-on-the-structure-of-graded-modules-over-graded-principal-ideal-domains-in-the-context-of-persistent-homology-2301.11756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-comment-on-the-structure-of-graded-modules-over-graded-principal-ideal-domains-in-the-context-of-persistent-homology-2301.11756"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-semifree-resolutions-of-dg-algebras-over-the-enveloping-dg-algebras-2301.12267</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-semifree-resolutions-of-dg-algebras-over-the-enveloping-dg-algebras-2301.12267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-semifree-resolutions-of-dg-algebras-over-the-enveloping-dg-algebras-2301.12267"/></url>
<url><loc>https://scifaro.com/en/abs/basis-condition-for-generalized-spline-modules-2301.12529</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/basis-condition-for-generalized-spline-modules-2301.12529"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/basis-condition-for-generalized-spline-modules-2301.12529"/></url>
<url><loc>https://scifaro.com/en/abs/endomorphisms-of-a-certain-ring-of-rational-functions-2301.12655</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/endomorphisms-of-a-certain-ring-of-rational-functions-2301.12655"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/endomorphisms-of-a-certain-ring-of-rational-functions-2301.12655"/></url>
<url><loc>https://scifaro.com/en/abs/retracts-of-laurent-polynomial-rings-2301.12681</loc><lastmod>2023-12-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/retracts-of-laurent-polynomial-rings-2301.12681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/retracts-of-laurent-polynomial-rings-2301.12681"/></url>
<url><loc>https://scifaro.com/en/abs/reducibility-by-polynomial-functions-2301.12771</loc><lastmod>2023-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reducibility-by-polynomial-functions-2301.12771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reducibility-by-polynomial-functions-2301.12771"/></url>
<url><loc>https://scifaro.com/en/abs/invertible-bases-and-root-vectors-for-analytic-matrix-valued-functions-2301.12955</loc><lastmod>2023-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invertible-bases-and-root-vectors-for-analytic-matrix-valued-functions-2301.12955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invertible-bases-and-root-vectors-for-analytic-matrix-valued-functions-2301.12955"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-and-non-negativity-of-the-first-normal-hilbert-coefficient-2301.13084</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-and-non-negativity-of-the-first-normal-hilbert-coefficient-2301.13084"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-and-non-negativity-of-the-first-normal-hilbert-coefficient-2301.13084"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-group-fixed-quotients-of-polynomial-rings-2301.13377</loc><lastmod>2023-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-group-fixed-quotients-of-polynomial-rings-2301.13377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-group-fixed-quotients-of-polynomial-rings-2301.13377"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-skew-derivations-on-ideal-with-engel-conditions-2301.13641</loc><lastmod>2023-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-skew-derivations-on-ideal-with-engel-conditions-2301.13641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-skew-derivations-on-ideal-with-engel-conditions-2301.13641"/></url>
<url><loc>https://scifaro.com/en/abs/on-tight-submodules-of-modules-over-valuation-domains-2301.13675</loc><lastmod>2023-02-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tight-submodules-of-modules-over-valuation-domains-2301.13675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tight-submodules-of-modules-over-valuation-domains-2301.13675"/></url>
<url><loc>https://scifaro.com/en/abs/on-auslander-s-depth-formula-2302.00035</loc><lastmod>2023-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-auslander-s-depth-formula-2302.00035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-auslander-s-depth-formula-2302.00035"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-extend-closure-and-interior-operations-to-more-modules-2302.00238</loc><lastmod>2024-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-extend-closure-and-interior-operations-to-more-modules-2302.00238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-extend-closure-and-interior-operations-to-more-modules-2302.00238"/></url>
<url><loc>https://scifaro.com/en/abs/limits-of-graded-gorenstein-algebras-of-hilbert-function-1-3-k-1-2302.00287</loc><lastmod>2023-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/limits-of-graded-gorenstein-algebras-of-hilbert-function-1-3-k-1-2302.00287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/limits-of-graded-gorenstein-algebras-of-hilbert-function-1-3-k-1-2302.00287"/></url>
<url><loc>https://scifaro.com/en/abs/la-conjecture-du-facteur-direct-d-apr-es-y-andr-e-et-b-bhatt-2302.00955</loc><lastmod>2023-02-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/la-conjecture-du-facteur-direct-d-apr-es-y-andr-e-et-b-bhatt-2302.00955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/la-conjecture-du-facteur-direct-d-apr-es-y-andr-e-et-b-bhatt-2302.00955"/></url>
<url><loc>https://scifaro.com/en/abs/on-strongly-phi-w-flat-modules-and-their-homological-dimensions-2302.00991</loc><lastmod>2023-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-strongly-phi-w-flat-modules-and-their-homological-dimensions-2302.00991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-strongly-phi-w-flat-modules-and-their-homological-dimensions-2302.00991"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-in-additive-monoids-of-evaluation-polynomial-semirings-2302.02321</loc><lastmod>2023-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-in-additive-monoids-of-evaluation-polynomial-semirings-2302.02321"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-in-additive-monoids-of-evaluation-polynomial-semirings-2302.02321"/></url>
<url><loc>https://scifaro.com/en/abs/centralizers-of-linear-and-locally-nilpotent-derivations-2302.02441</loc><lastmod>2023-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/centralizers-of-linear-and-locally-nilpotent-derivations-2302.02441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/centralizers-of-linear-and-locally-nilpotent-derivations-2302.02441"/></url>
<url><loc>https://scifaro.com/en/abs/the-size-of-the-betti-table-of-binomial-edge-ideals-2302.03585</loc><lastmod>2025-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-size-of-the-betti-table-of-binomial-edge-ideals-2302.03585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-size-of-the-betti-table-of-binomial-edge-ideals-2302.03585"/></url>
<url><loc>https://scifaro.com/en/abs/toric-rings-attached-to-simplicial-complexes-2302.03653</loc><lastmod>2023-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-rings-attached-to-simplicial-complexes-2302.03653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-rings-attached-to-simplicial-complexes-2302.03653"/></url>
<url><loc>https://scifaro.com/en/abs/newton-iteration-for-lexicographic-gr-obner-bases-in-two-variables-2302.03766</loc><lastmod>2023-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newton-iteration-for-lexicographic-gr-obner-bases-in-two-variables-2302.03766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newton-iteration-for-lexicographic-gr-obner-bases-in-two-variables-2302.03766"/></url>
<url><loc>https://scifaro.com/en/abs/nearly-gorenstein-projective-monomial-curves-of-small-codimension-2302.04027</loc><lastmod>2024-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nearly-gorenstein-projective-monomial-curves-of-small-codimension-2302.04027"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nearly-gorenstein-projective-monomial-curves-of-small-codimension-2302.04027"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-modules-and-local-cohomology-2302.04205</loc><lastmod>2023-02-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-modules-and-local-cohomology-2302.04205"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-modules-and-local-cohomology-2302.04205"/></url>
<url><loc>https://scifaro.com/en/abs/on-tau-q-projectivity-and-tau-q-simplicity-2302.04560</loc><lastmod>2023-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tau-q-projectivity-and-tau-q-simplicity-2302.04560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tau-q-projectivity-and-tau-q-simplicity-2302.04560"/></url>
<url><loc>https://scifaro.com/en/abs/predicting-the-cardinality-and-maximum-degree-of-a-reduced-gr-obner-basis-2302.05364</loc><lastmod>2025-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/predicting-the-cardinality-and-maximum-degree-of-a-reduced-gr-obner-basis-2302.05364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/predicting-the-cardinality-and-maximum-degree-of-a-reduced-gr-obner-basis-2302.05364"/></url>
<url><loc>https://scifaro.com/en/abs/projectively-coresolved-gorenstein-flat-dimension-of-groups-2302.06022</loc><lastmod>2023-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projectively-coresolved-gorenstein-flat-dimension-of-groups-2302.06022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projectively-coresolved-gorenstein-flat-dimension-of-groups-2302.06022"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-rings-via-homological-dimensions-and-symmetry-in-vanishing-of-ext-and-tate-cohomology-2302.06267</loc><lastmod>2024-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-rings-via-homological-dimensions-and-symmetry-in-vanishing-of-ext-and-tate-cohomology-2302.06267"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-rings-via-homological-dimensions-and-symmetry-in-vanishing-of-ext-and-tate-cohomology-2302.06267"/></url>
<url><loc>https://scifaro.com/en/abs/signature-gr-obner-bases-in-free-algebras-over-rings-2302.06483</loc><lastmod>2023-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/signature-gr-obner-bases-in-free-algebras-over-rings-2302.06483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/signature-gr-obner-bases-in-free-algebras-over-rings-2302.06483"/></url>
<url><loc>https://scifaro.com/en/abs/positivity-and-nonstandard-graded-betti-numbers-2302.07403</loc><lastmod>2024-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/positivity-and-nonstandard-graded-betti-numbers-2302.07403"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/positivity-and-nonstandard-graded-betti-numbers-2302.07403"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebra-of-maximal-order-pfaffians-and-its-diagonal-subalgebras-2302.07486</loc><lastmod>2023-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebra-of-maximal-order-pfaffians-and-its-diagonal-subalgebras-2302.07486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebra-of-maximal-order-pfaffians-and-its-diagonal-subalgebras-2302.07486"/></url>
<url><loc>https://scifaro.com/en/abs/macaulay-s-theorem-for-vector-spread-algebras-2302.07595</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/macaulay-s-theorem-for-vector-spread-algebras-2302.07595"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/macaulay-s-theorem-for-vector-spread-algebras-2302.07595"/></url>
<url><loc>https://scifaro.com/en/abs/a-counterexample-to-strong-local-monomialization-in-a-tower-of-two-independent-defect-artin-schreier-extensions-2302.07710</loc><lastmod>2023-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counterexample-to-strong-local-monomialization-in-a-tower-of-two-independent-defect-artin-schreier-extensions-2302.07710"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counterexample-to-strong-local-monomialization-in-a-tower-of-two-independent-defect-artin-schreier-extensions-2302.07710"/></url>
<url><loc>https://scifaro.com/en/abs/gorensteinness-for-normal-tangent-cones-of-elliptic-ideals-2302.07991</loc><lastmod>2025-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorensteinness-for-normal-tangent-cones-of-elliptic-ideals-2302.07991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorensteinness-for-normal-tangent-cones-of-elliptic-ideals-2302.07991"/></url>
<url><loc>https://scifaro.com/en/abs/effective-generic-freeness-and-applications-to-local-cohomology-2302.08196</loc><lastmod>2024-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/effective-generic-freeness-and-applications-to-local-cohomology-2302.08196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/effective-generic-freeness-and-applications-to-local-cohomology-2302.08196"/></url>
<url><loc>https://scifaro.com/en/abs/polyocollection-ideals-and-primary-decomposition-of-polyomino-ideals-2302.08337</loc><lastmod>2023-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polyocollection-ideals-and-primary-decomposition-of-polyomino-ideals-2302.08337"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polyocollection-ideals-and-primary-decomposition-of-polyomino-ideals-2302.08337"/></url>
<url><loc>https://scifaro.com/en/abs/log-centres-of-noncommutative-crepant-resolutions-are-kawamata-log-terminal-remarks-on-a-paper-of-stafford-and-van-den-bergh-2302.08376</loc><lastmod>2023-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/log-centres-of-noncommutative-crepant-resolutions-are-kawamata-log-terminal-remarks-on-a-paper-of-stafford-and-van-den-bergh-2302.08376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/log-centres-of-noncommutative-crepant-resolutions-are-kawamata-log-terminal-remarks-on-a-paper-of-stafford-and-van-den-bergh-2302.08376"/></url>
<url><loc>https://scifaro.com/en/abs/local-dualisable-objects-in-local-algebra-2302.08562</loc><lastmod>2023-03-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-dualisable-objects-in-local-algebra-2302.08562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-dualisable-objects-in-local-algebra-2302.08562"/></url>
<url><loc>https://scifaro.com/en/abs/the-covariety-of-numerical-semigroups-with-fixed-frobenius-number-2302.09121</loc><lastmod>2023-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-covariety-of-numerical-semigroups-with-fixed-frobenius-number-2302.09121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-covariety-of-numerical-semigroups-with-fixed-frobenius-number-2302.09121"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-cohen-type-theorem-and-the-eakin-nagata-type-theorem-for-uniformly-s-noetherian-rings-2302.09296</loc><lastmod>2023-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-cohen-type-theorem-and-the-eakin-nagata-type-theorem-for-uniformly-s-noetherian-rings-2302.09296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-cohen-type-theorem-and-the-eakin-nagata-type-theorem-for-uniformly-s-noetherian-rings-2302.09296"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-monotonicity-of-the-hilbert-functions-for-4-generated-pseudo-symmetric-monomial-curves-2302.09356</loc><lastmod>2024-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-monotonicity-of-the-hilbert-functions-for-4-generated-pseudo-symmetric-monomial-curves-2302.09356"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-monotonicity-of-the-hilbert-functions-for-4-generated-pseudo-symmetric-monomial-curves-2302.09356"/></url>
<url><loc>https://scifaro.com/en/abs/ap-ery-sets-and-the-ideal-class-monoid-of-a-numerical-semigroup-2302.09647</loc><lastmod>2023-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ap-ery-sets-and-the-ideal-class-monoid-of-a-numerical-semigroup-2302.09647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ap-ery-sets-and-the-ideal-class-monoid-of-a-numerical-semigroup-2302.09647"/></url>
<url><loc>https://scifaro.com/en/abs/on-posets-monomial-ideals-gorenstein-ideals-and-their-combinatorics-2302.10068</loc><lastmod>2023-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-posets-monomial-ideals-gorenstein-ideals-and-their-combinatorics-2302.10068"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-posets-monomial-ideals-gorenstein-ideals-and-their-combinatorics-2302.10068"/></url>
<url><loc>https://scifaro.com/en/abs/wsq-primary-hyperideals-of-a-krasner-m-n-hyperring-2302.10334</loc><lastmod>2023-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wsq-primary-hyperideals-of-a-krasner-m-n-hyperring-2302.10334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wsq-primary-hyperideals-of-a-krasner-m-n-hyperring-2302.10334"/></url>
<url><loc>https://scifaro.com/en/abs/on-an-instance-of-the-small-cohen-macaulay-conjecture-2302.11011</loc><lastmod>2023-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-an-instance-of-the-small-cohen-macaulay-conjecture-2302.11011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-an-instance-of-the-small-cohen-macaulay-conjecture-2302.11011"/></url>
<url><loc>https://scifaro.com/en/abs/the-lefschetz-property-for-an-algebra-defined-by-matchings-2302.11039</loc><lastmod>2023-02-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lefschetz-property-for-an-algebra-defined-by-matchings-2302.11039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lefschetz-property-for-an-algebra-defined-by-matchings-2302.11039"/></url>
<url><loc>https://scifaro.com/en/abs/secondary-hochschild-cohomology-and-derivations-2302.11620</loc><lastmod>2023-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/secondary-hochschild-cohomology-and-derivations-2302.11620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/secondary-hochschild-cohomology-and-derivations-2302.11620"/></url>
<url><loc>https://scifaro.com/en/abs/differential-theory-of-zero-dimensional-schemes-2302.11903</loc><lastmod>2023-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-theory-of-zero-dimensional-schemes-2302.11903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-theory-of-zero-dimensional-schemes-2302.11903"/></url>
<url><loc>https://scifaro.com/en/abs/subalgebrabases-in-macaulay2-2302.12473</loc><lastmod>2024-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subalgebrabases-in-macaulay2-2302.12473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subalgebrabases-in-macaulay2-2302.12473"/></url>
<url><loc>https://scifaro.com/en/abs/the-divisor-class-group-of-a-discrete-polymatroid-2302.12475</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-divisor-class-group-of-a-discrete-polymatroid-2302.12475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-divisor-class-group-of-a-discrete-polymatroid-2302.12475"/></url>
<url><loc>https://scifaro.com/en/abs/results-on-vanishing-polynomials-and-polynomial-root-counting-2302.12637</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/results-on-vanishing-polynomials-and-polynomial-root-counting-2302.12637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/results-on-vanishing-polynomials-and-polynomial-root-counting-2302.12637"/></url>
<url><loc>https://scifaro.com/en/abs/on-image-ideals-of-nice-and-quasi-nice-derivations-over-a-ufd-2302.13787</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-image-ideals-of-nice-and-quasi-nice-derivations-over-a-ufd-2302.13787"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-image-ideals-of-nice-and-quasi-nice-derivations-over-a-ufd-2302.13787"/></url>
<url><loc>https://scifaro.com/en/abs/ribbon-schur-functors-2302.14086</loc><lastmod>2025-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ribbon-schur-functors-2302.14086"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ribbon-schur-functors-2302.14086"/></url>
<url><loc>https://scifaro.com/en/abs/sagbi-combinatorics-of-maximal-minors-and-a-sagbi-algorithm-2302.14345</loc><lastmod>2023-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sagbi-combinatorics-of-maximal-minors-and-a-sagbi-algorithm-2302.14345"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sagbi-combinatorics-of-maximal-minors-and-a-sagbi-algorithm-2302.14345"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-artin-gorenstein-algebras-with-hilbert-function-1-4-k-k-4-1-2302.14797</loc><lastmod>2023-07-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-artin-gorenstein-algebras-with-hilbert-function-1-4-k-k-4-1-2302.14797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-artin-gorenstein-algebras-with-hilbert-function-1-4-k-k-4-1-2302.14797"/></url>
<url><loc>https://scifaro.com/en/abs/rm-cl-prereductions-rm-i-postexpansions-and-related-structures-2303.00144</loc><lastmod>2023-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rm-cl-prereductions-rm-i-postexpansions-and-related-structures-2303.00144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rm-cl-prereductions-rm-i-postexpansions-and-related-structures-2303.00144"/></url>
<url><loc>https://scifaro.com/en/abs/adjacency-like-conditions-and-induced-ideal-graphs-2303.00148</loc><lastmod>2023-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/adjacency-like-conditions-and-induced-ideal-graphs-2303.00148"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/adjacency-like-conditions-and-induced-ideal-graphs-2303.00148"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-projective-precovers-and-finitely-presented-modules-2303.00213</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-projective-precovers-and-finitely-presented-modules-2303.00213"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-projective-precovers-and-finitely-presented-modules-2303.00213"/></url>
<url><loc>https://scifaro.com/en/abs/some-classes-of-sequences-of-linear-type-2303.00350</loc><lastmod>2025-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-classes-of-sequences-of-linear-type-2303.00350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-classes-of-sequences-of-linear-type-2303.00350"/></url>
<url><loc>https://scifaro.com/en/abs/hereditary-atomicity-and-accp-in-abelian-groups-2303.01039</loc><lastmod>2023-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hereditary-atomicity-and-accp-in-abelian-groups-2303.01039"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hereditary-atomicity-and-accp-in-abelian-groups-2303.01039"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-path-graph-2303.01132</loc><lastmod>2023-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-path-graph-2303.01132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-path-graph-2303.01132"/></url>
<url><loc>https://scifaro.com/en/abs/a-field-theoretic-view-of-unlabeled-sensing-2303.01175</loc><lastmod>2024-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-field-theoretic-view-of-unlabeled-sensing-2303.01175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-field-theoretic-view-of-unlabeled-sensing-2303.01175"/></url>
<url><loc>https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-ii-2303.01180</loc><lastmod>2023-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-ii-2303.01180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-associated-graded-modules-of-maximal-cohen-macaulay-modules-over-hypersurface-rings-ii-2303.01180"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-socle-of-artinian-algebras-associated-to-graphs-2303.02019</loc><lastmod>2023-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-socle-of-artinian-algebras-associated-to-graphs-2303.02019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-socle-of-artinian-algebras-associated-to-graphs-2303.02019"/></url>
<url><loc>https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-elliptic-curves-2303.02100</loc><lastmod>2023-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-elliptic-curves-2303.02100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-ruled-residue-theorem-for-function-fields-of-elliptic-curves-2303.02100"/></url>
<url><loc>https://scifaro.com/en/abs/some-notes-on-topological-rings-and-their-groups-of-units-2303.02634</loc><lastmod>2025-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-notes-on-topological-rings-and-their-groups-of-units-2303.02634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-notes-on-topological-rings-and-their-groups-of-units-2303.02634"/></url>
<url><loc>https://scifaro.com/en/abs/a-formalism-of-f-modules-for-rings-with-complete-local-finite-f-representation-type-2303.02705</loc><lastmod>2024-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-formalism-of-f-modules-for-rings-with-complete-local-finite-f-representation-type-2303.02705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-formalism-of-f-modules-for-rings-with-complete-local-finite-f-representation-type-2303.02705"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-regularity-of-squarefree-part-of-symbolic-powers-of-edge-ideals-2303.02791</loc><lastmod>2023-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-regularity-of-squarefree-part-of-symbolic-powers-of-edge-ideals-2303.02791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-regularity-of-squarefree-part-of-symbolic-powers-of-edge-ideals-2303.02791"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-jacobian-ideal-of-a-nondegenerate-power-series-2303.03525</loc><lastmod>2023-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-jacobian-ideal-of-a-nondegenerate-power-series-2303.03525"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-jacobian-ideal-of-a-nondegenerate-power-series-2303.03525"/></url>
<url><loc>https://scifaro.com/en/abs/on-segre-products-f-regularity-and-finite-frobenius-representation-type-2303.04331</loc><lastmod>2023-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-segre-products-f-regularity-and-finite-frobenius-representation-type-2303.04331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-segre-products-f-regularity-and-finite-frobenius-representation-type-2303.04331"/></url>
<url><loc>https://scifaro.com/en/abs/connecting-ideals-in-evolution-algebras-with-hereditary-subsets-of-its-associated-graph-2303.04461</loc><lastmod>2023-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connecting-ideals-in-evolution-algebras-with-hereditary-subsets-of-its-associated-graph-2303.04461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connecting-ideals-in-evolution-algebras-with-hereditary-subsets-of-its-associated-graph-2303.04461"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linearity-under-square-free-gr-obner-degenerations-2303.05190</loc><lastmod>2023-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linearity-under-square-free-gr-obner-degenerations-2303.05190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linearity-under-square-free-gr-obner-degenerations-2303.05190"/></url>
<url><loc>https://scifaro.com/en/abs/on-local-divisor-class-groups-of-complete-intersections-2303.05270</loc><lastmod>2024-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-local-divisor-class-groups-of-complete-intersections-2303.05270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-local-divisor-class-groups-of-complete-intersections-2303.05270"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-fields-of-rational-invariants-of-mathbb-z-p-mathbb-z-and-other-finite-groups-2303.05626</loc><lastmod>2024-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-fields-of-rational-invariants-of-mathbb-z-p-mathbb-z-and-other-finite-groups-2303.05626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-fields-of-rational-invariants-of-mathbb-z-p-mathbb-z-and-other-finite-groups-2303.05626"/></url>
<url><loc>https://scifaro.com/en/abs/metric-dimension-in-a-prime-ideal-sum-graph-of-a-commutative-ring-2303.05931</loc><lastmod>2023-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/metric-dimension-in-a-prime-ideal-sum-graph-of-a-commutative-ring-2303.05931"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/metric-dimension-in-a-prime-ideal-sum-graph-of-a-commutative-ring-2303.05931"/></url>
<url><loc>https://scifaro.com/en/abs/universally-free-numerical-semigroups-2303.06474</loc><lastmod>2023-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universally-free-numerical-semigroups-2303.06474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universally-free-numerical-semigroups-2303.06474"/></url>
<url><loc>https://scifaro.com/en/abs/computing-gr-obner-bases-and-free-resolutions-of-oi-modules-2303.06725</loc><lastmod>2023-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-gr-obner-bases-and-free-resolutions-of-oi-modules-2303.06725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-gr-obner-bases-and-free-resolutions-of-oi-modules-2303.06725"/></url>
<url><loc>https://scifaro.com/en/abs/mapping-cones-of-monomial-ideals-over-exterior-algebras-2303.06953</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mapping-cones-of-monomial-ideals-over-exterior-algebras-2303.06953"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mapping-cones-of-monomial-ideals-over-exterior-algebras-2303.06953"/></url>
<url><loc>https://scifaro.com/en/abs/on-p-g-ideals-in-positive-characteristic-2303.07090</loc><lastmod>2023-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-p-g-ideals-in-positive-characteristic-2303.07090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-p-g-ideals-in-positive-characteristic-2303.07090"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-formula-for-the-determinant-of-4-times-4-matrices-2303.07842</loc><lastmod>2023-07-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-formula-for-the-determinant-of-4-times-4-matrices-2303.07842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-formula-for-the-determinant-of-4-times-4-matrices-2303.07842"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-formula-of-the-determinant-tensor-with-symmetries-2303.07845</loc><lastmod>2023-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-formula-of-the-determinant-tensor-with-symmetries-2303.07845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-formula-of-the-determinant-tensor-with-symmetries-2303.07845"/></url>
<url><loc>https://scifaro.com/en/abs/the-edge-ideals-of-bf-t-spread-d-partite-hypergraphs-2303.08160</loc><lastmod>2023-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-edge-ideals-of-bf-t-spread-d-partite-hypergraphs-2303.08160"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-edge-ideals-of-bf-t-spread-d-partite-hypergraphs-2303.08160"/></url>
<url><loc>https://scifaro.com/en/abs/on-matrix-invertible-extensions-over-commutative-rings-2303.08413</loc><lastmod>2024-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-matrix-invertible-extensions-over-commutative-rings-2303.08413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-matrix-invertible-extensions-over-commutative-rings-2303.08413"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-invariant-rings-of-some-irreducible-complex-reflection-groups-2303.08497</loc><lastmod>2023-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-invariant-rings-of-some-irreducible-complex-reflection-groups-2303.08497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-invariant-rings-of-some-irreducible-complex-reflection-groups-2303.08497"/></url>
<url><loc>https://scifaro.com/en/abs/mapping-free-resolutions-of-length-three-ii-module-formats-2303.10098</loc><lastmod>2024-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mapping-free-resolutions-of-length-three-ii-module-formats-2303.10098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mapping-free-resolutions-of-length-three-ii-module-formats-2303.10098"/></url>
<url><loc>https://scifaro.com/en/abs/the-core-of-monomial-ideals-2303.10486</loc><lastmod>2023-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-core-of-monomial-ideals-2303.10486"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-core-of-monomial-ideals-2303.10486"/></url>
<url><loc>https://scifaro.com/en/abs/eigenvalues-singular-values-and-the-o-shea-sjamaar-theorem-2303.11653</loc><lastmod>2024-01-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/eigenvalues-singular-values-and-the-o-shea-sjamaar-theorem-2303.11653"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/eigenvalues-singular-values-and-the-o-shea-sjamaar-theorem-2303.11653"/></url>
<url><loc>https://scifaro.com/en/abs/the-set-of-arf-numerical-semigroups-with-given-frobenius-number-2303.12470</loc><lastmod>2023-03-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-set-of-arf-numerical-semigroups-with-given-frobenius-number-2303.12470"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-set-of-arf-numerical-semigroups-with-given-frobenius-number-2303.12470"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-jordan-types-and-jordan-degree-types-2303.13673</loc><lastmod>2023-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-jordan-types-and-jordan-degree-types-2303.13673"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-jordan-types-and-jordan-degree-types-2303.13673"/></url>
<url><loc>https://scifaro.com/en/abs/sampling-algebra-structures-on-minimal-free-resolutions-2303.13687</loc><lastmod>2024-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sampling-algebra-structures-on-minimal-free-resolutions-2303.13687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sampling-algebra-structures-on-minimal-free-resolutions-2303.13687"/></url>
<url><loc>https://scifaro.com/en/abs/a-mixed-characteristic-analogue-of-the-perfection-of-rings-and-its-almost-cohen-macaulay-property-2303.13872</loc><lastmod>2025-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-mixed-characteristic-analogue-of-the-perfection-of-rings-and-its-almost-cohen-macaulay-property-2303.13872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-mixed-characteristic-analogue-of-the-perfection-of-rings-and-its-almost-cohen-macaulay-property-2303.13872"/></url>
<url><loc>https://scifaro.com/en/abs/linear-systems-matrices-and-vector-spaces-over-superfields-2303.14559</loc><lastmod>2023-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/linear-systems-matrices-and-vector-spaces-over-superfields-2303.14559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/linear-systems-matrices-and-vector-spaces-over-superfields-2303.14559"/></url>
<url><loc>https://scifaro.com/en/abs/non-commutative-resolutions-for-segre-products-and-cohen-macaulay-rings-of-hereditary-representation-type-2303.14625</loc><lastmod>2023-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-commutative-resolutions-for-segre-products-and-cohen-macaulay-rings-of-hereditary-representation-type-2303.14625"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-commutative-resolutions-for-segre-products-and-cohen-macaulay-rings-of-hereditary-representation-type-2303.14625"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-invariants-of-toric-ideals-of-bipartite-graphs-2303.14818</loc><lastmod>2023-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-invariants-of-toric-ideals-of-bipartite-graphs-2303.14818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-invariants-of-toric-ideals-of-bipartite-graphs-2303.14818"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-2303.15032</loc><lastmod>2024-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-2303.15032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-2303.15032"/></url>
<url><loc>https://scifaro.com/en/abs/the-lattice-of-ideals-of-certain-rings-2303.15145</loc><lastmod>2024-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-lattice-of-ideals-of-certain-rings-2303.15145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-lattice-of-ideals-of-certain-rings-2303.15145"/></url>
<url><loc>https://scifaro.com/en/abs/very-well-covered-graphs-by-betti-splittings-2303.15362</loc><lastmod>2023-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/very-well-covered-graphs-by-betti-splittings-2303.15362"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/very-well-covered-graphs-by-betti-splittings-2303.15362"/></url>
<url><loc>https://scifaro.com/en/abs/egyptian-integral-domains-2303.15685</loc><lastmod>2023-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/egyptian-integral-domains-2303.15685"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/egyptian-integral-domains-2303.15685"/></url>
<url><loc>https://scifaro.com/en/abs/counting-geometric-branches-via-the-frobenius-map-and-f-nilpotent-singularities-2303.16398</loc><lastmod>2024-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/counting-geometric-branches-via-the-frobenius-map-and-f-nilpotent-singularities-2303.16398"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/counting-geometric-branches-via-the-frobenius-map-and-f-nilpotent-singularities-2303.16398"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-and-jordan-type-of-perazzo-artinian-algebras-2303.16768</loc><lastmod>2023-03-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-and-jordan-type-of-perazzo-artinian-algebras-2303.16768"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-and-jordan-type-of-perazzo-artinian-algebras-2303.16768"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-in-macaulay2-2303.17659</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-in-macaulay2-2303.17659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-in-macaulay2-2303.17659"/></url>
<url><loc>https://scifaro.com/en/abs/matchings-squarefree-powers-and-betti-splittings-2304.00255</loc><lastmod>2024-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matchings-squarefree-powers-and-betti-splittings-2304.00255"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matchings-squarefree-powers-and-betti-splittings-2304.00255"/></url>
<url><loc>https://scifaro.com/en/abs/an-algorithm-for-computing-syzygies-on-v-x-when-v-is-a-valuation-domain-2304.00303</loc><lastmod>2024-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algorithm-for-computing-syzygies-on-v-x-when-v-is-a-valuation-domain-2304.00303"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algorithm-for-computing-syzygies-on-v-x-when-v-is-a-valuation-domain-2304.00303"/></url>
<url><loc>https://scifaro.com/en/abs/g-dimensions-for-dg-modules-over-commutative-dg-rings-2304.00527</loc><lastmod>2026-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/g-dimensions-for-dg-modules-over-commutative-dg-rings-2304.00527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/g-dimensions-for-dg-modules-over-commutative-dg-rings-2304.00527"/></url>
<url><loc>https://scifaro.com/en/abs/prime-subcomplexes-2304.01021</loc><lastmod>2023-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-subcomplexes-2304.01021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-subcomplexes-2304.01021"/></url>
<url><loc>https://scifaro.com/en/abs/free-resolutions-constructed-from-bigradings-on-lie-algebras-2304.01381</loc><lastmod>2023-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-resolutions-constructed-from-bigradings-on-lie-algebras-2304.01381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-resolutions-constructed-from-bigradings-on-lie-algebras-2304.01381"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-isomorphism-problem-for-monoids-of-product-one-sequences-2304.01459</loc><lastmod>2025-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-isomorphism-problem-for-monoids-of-product-one-sequences-2304.01459"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-isomorphism-problem-for-monoids-of-product-one-sequences-2304.01459"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-hilbert-functions-with-application-to-convexity-2304.02332</loc><lastmod>2023-04-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-hilbert-functions-with-application-to-convexity-2304.02332"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-hilbert-functions-with-application-to-convexity-2304.02332"/></url>
<url><loc>https://scifaro.com/en/abs/ext-modules-related-to-syzygies-of-the-residue-field-2304.02900</loc><lastmod>2023-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ext-modules-related-to-syzygies-of-the-residue-field-2304.02900"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ext-modules-related-to-syzygies-of-the-residue-field-2304.02900"/></url>
<url><loc>https://scifaro.com/en/abs/ie-closed-subcategories-of-commutative-rings-are-torsion-free-classes-2304.03260</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ie-closed-subcategories-of-commutative-rings-are-torsion-free-classes-2304.03260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ie-closed-subcategories-of-commutative-rings-are-torsion-free-classes-2304.03260"/></url>
<url><loc>https://scifaro.com/en/abs/systems-of-ideals-parametrized-by-combinatorial-structures-2304.03686</loc><lastmod>2023-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/systems-of-ideals-parametrized-by-combinatorial-structures-2304.03686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/systems-of-ideals-parametrized-by-combinatorial-structures-2304.03686"/></url>
<url><loc>https://scifaro.com/en/abs/non-integrally-closed-kronecker-function-rings-and-integral-domains-with-a-unique-minimal-overring-2304.03723</loc><lastmod>2023-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-integrally-closed-kronecker-function-rings-and-integral-domains-with-a-unique-minimal-overring-2304.03723"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-integrally-closed-kronecker-function-rings-and-integral-domains-with-a-unique-minimal-overring-2304.03723"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-conjecture-for-normal-rings-2304.03956</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-for-normal-rings-2304.03956"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-for-normal-rings-2304.03956"/></url>
<url><loc>https://scifaro.com/en/abs/the-de-rham-cohomology-of-the-algebra-of-polynomial-functions-on-a-simplicial-complex-2304.04328</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-de-rham-cohomology-of-the-algebra-of-polynomial-functions-on-a-simplicial-complex-2304.04328"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-de-rham-cohomology-of-the-algebra-of-polynomial-functions-on-a-simplicial-complex-2304.04328"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-projective-dimension-of-tensor-products-of-modules-2304.04490</loc><lastmod>2025-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-projective-dimension-of-tensor-products-of-modules-2304.04490"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-projective-dimension-of-tensor-products-of-modules-2304.04490"/></url>
<url><loc>https://scifaro.com/en/abs/ratliff-rush-filtration-hilbert-coefficients-and-the-reduction-number-of-integrally-closed-ideals-2304.04524</loc><lastmod>2023-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ratliff-rush-filtration-hilbert-coefficients-and-the-reduction-number-of-integrally-closed-ideals-2304.04524"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ratliff-rush-filtration-hilbert-coefficients-and-the-reduction-number-of-integrally-closed-ideals-2304.04524"/></url>
<url><loc>https://scifaro.com/en/abs/chain-algebras-of-finite-distributive-lattices-2304.04810</loc><lastmod>2024-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chain-algebras-of-finite-distributive-lattices-2304.04810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chain-algebras-of-finite-distributive-lattices-2304.04810"/></url>
<url><loc>https://scifaro.com/en/abs/connected-domination-in-graphs-and-v-numbers-of-binomial-edge-ideals-2304.04898</loc><lastmod>2023-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connected-domination-in-graphs-and-v-numbers-of-binomial-edge-ideals-2304.04898"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connected-domination-in-graphs-and-v-numbers-of-binomial-edge-ideals-2304.04898"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-burch-virtual-resolutions-for-points-in-mathbb-p-1-times-mathbb-p-1-2304.04953</loc><lastmod>2023-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-burch-virtual-resolutions-for-points-in-mathbb-p-1-times-mathbb-p-1-2304.04953"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-burch-virtual-resolutions-for-points-in-mathbb-p-1-times-mathbb-p-1-2304.04953"/></url>
<url><loc>https://scifaro.com/en/abs/relative-weak-global-gorenstein-dimension-ab-contexts-and-model-structures-2304.05228</loc><lastmod>2024-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-weak-global-gorenstein-dimension-ab-contexts-and-model-structures-2304.05228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-weak-global-gorenstein-dimension-ab-contexts-and-model-structures-2304.05228"/></url>
<url><loc>https://scifaro.com/en/abs/beyond-the-fontaine-wintenberger-theorem-2304.05881</loc><lastmod>2025-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/beyond-the-fontaine-wintenberger-theorem-2304.05881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/beyond-the-fontaine-wintenberger-theorem-2304.05881"/></url>
<url><loc>https://scifaro.com/en/abs/the-mathrm-v-number-of-binomial-edge-ideals-2304.06416</loc><lastmod>2023-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mathrm-v-number-of-binomial-edge-ideals-2304.06416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mathrm-v-number-of-binomial-edge-ideals-2304.06416"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-notion-of-sequentially-cohen-macaulay-modules-2304.06609</loc><lastmod>2023-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-notion-of-sequentially-cohen-macaulay-modules-2304.06609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-notion-of-sequentially-cohen-macaulay-modules-2304.06609"/></url>
<url><loc>https://scifaro.com/en/abs/the-grothendieck-ring-of-certain-non-noetherian-group-graded-algebras-via-k-series-2304.06932</loc><lastmod>2023-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-grothendieck-ring-of-certain-non-noetherian-group-graded-algebras-via-k-series-2304.06932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-grothendieck-ring-of-certain-non-noetherian-group-graded-algebras-via-k-series-2304.06932"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-co-homology-for-modules-admitting-certain-filtrations-2304.07641</loc><lastmod>2024-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-co-homology-for-modules-admitting-certain-filtrations-2304.07641"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-co-homology-for-modules-admitting-certain-filtrations-2304.07641"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-half-factorial-orders-in-algebraic-number-fields-2304.08099</loc><lastmod>2024-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-half-factorial-orders-in-algebraic-number-fields-2304.08099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-half-factorial-orders-in-algebraic-number-fields-2304.08099"/></url>
<url><loc>https://scifaro.com/en/abs/commuting-jordan-types-a-survey-2304.08550</loc><lastmod>2023-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/commuting-jordan-types-a-survey-2304.08550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/commuting-jordan-types-a-survey-2304.08550"/></url>
<url><loc>https://scifaro.com/en/abs/on-tau-q-weak-global-dimensions-of-commuative-rings-2304.09323</loc><lastmod>2023-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-tau-q-weak-global-dimensions-of-commuative-rings-2304.09323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-tau-q-weak-global-dimensions-of-commuative-rings-2304.09323"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-indecomposable-integrally-closed-modules-of-rank-2-over-two-dimensional-regular-local-rings-2304.09520</loc><lastmod>2023-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-indecomposable-integrally-closed-modules-of-rank-2-over-two-dimensional-regular-local-rings-2304.09520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-indecomposable-integrally-closed-modules-of-rank-2-over-two-dimensional-regular-local-rings-2304.09520"/></url>
<url><loc>https://scifaro.com/en/abs/rings-that-are-egyptian-with-respect-to-a-multiplicative-set-2304.09845</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-that-are-egyptian-with-respect-to-a-multiplicative-set-2304.09845"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-that-are-egyptian-with-respect-to-a-multiplicative-set-2304.09845"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-projective-monomial-curves-via-sumsets-2304.10989</loc><lastmod>2023-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-projective-monomial-curves-via-sumsets-2304.10989"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-projective-monomial-curves-via-sumsets-2304.10989"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-hartshorne-s-problem-on-finiteness-properties-of-local-cohomology-modules-2304.11493</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-hartshorne-s-problem-on-finiteness-properties-of-local-cohomology-modules-2304.11493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-hartshorne-s-problem-on-finiteness-properties-of-local-cohomology-modules-2304.11493"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-vertex-cover-ideals-of-simplicial-trees-2304.11630</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-vertex-cover-ideals-of-simplicial-trees-2304.11630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-vertex-cover-ideals-of-simplicial-trees-2304.11630"/></url>
<url><loc>https://scifaro.com/en/abs/vertex-cover-ideals-of-simplicial-complexes-2304.11640</loc><lastmod>2023-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vertex-cover-ideals-of-simplicial-complexes-2304.11640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vertex-cover-ideals-of-simplicial-complexes-2304.11640"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-f-signatures-of-the-rings-of-invariants-of-finite-group-schemes-2304.12138</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-f-signatures-of-the-rings-of-invariants-of-finite-group-schemes-2304.12138"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-f-signatures-of-the-rings-of-invariants-of-finite-group-schemes-2304.12138"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-binomial-edge-ideals-via-linear-programs-2304.13299</loc><lastmod>2023-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-binomial-edge-ideals-via-linear-programs-2304.13299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-binomial-edge-ideals-via-linear-programs-2304.13299"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-for-the-solving-degree-in-terms-of-the-degree-of-regularity-2304.13485</loc><lastmod>2023-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-for-the-solving-degree-in-terms-of-the-degree-of-regularity-2304.13485"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-for-the-solving-degree-in-terms-of-the-degree-of-regularity-2304.13485"/></url>
<url><loc>https://scifaro.com/en/abs/a-more-general-framework-than-the-delta-primary-hyperideals-2304.13526</loc><lastmod>2023-04-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-more-general-framework-than-the-delta-primary-hyperideals-2304.13526"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-more-general-framework-than-the-delta-primary-hyperideals-2304.13526"/></url>
<url><loc>https://scifaro.com/en/abs/down-left-graphs-and-a-connection-to-toric-ideals-of-graphs-2304.14528</loc><lastmod>2025-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/down-left-graphs-and-a-connection-to-toric-ideals-of-graphs-2304.14528"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/down-left-graphs-and-a-connection-to-toric-ideals-of-graphs-2304.14528"/></url>
<url><loc>https://scifaro.com/en/abs/on-monoids-of-plus-minus-weighted-zero-sum-sequences-the-isomorphism-problem-and-the-characterization-problem-2304.14777</loc><lastmod>2023-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-monoids-of-plus-minus-weighted-zero-sum-sequences-the-isomorphism-problem-and-the-characterization-problem-2304.14777"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-monoids-of-plus-minus-weighted-zero-sum-sequences-the-isomorphism-problem-and-the-characterization-problem-2304.14777"/></url>
<url><loc>https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-ii-2304.14806</loc><lastmod>2023-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-ii-2304.14806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/affine-semigroups-of-maximal-projective-dimension-ii-2304.14806"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rate-of-generic-gorenstein-k-algebras-2304.14842</loc><lastmod>2026-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rate-of-generic-gorenstein-k-algebras-2304.14842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rate-of-generic-gorenstein-k-algebras-2304.14842"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-deformation-problems-2305.00045</loc><lastmod>2024-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-deformation-problems-2305.00045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-deformation-problems-2305.00045"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-valuation-ring-extensions-as-limits-of-complete-intersection-algebras-2305.00178</loc><lastmod>2026-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-valuation-ring-extensions-as-limits-of-complete-intersection-algebras-2305.00178"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-valuation-ring-extensions-as-limits-of-complete-intersection-algebras-2305.00178"/></url>
<url><loc>https://scifaro.com/en/abs/phi-k-n-absorbing-and-phi-k-n-absorbing-primary-hyperideals-in-a-krasner-m-n-hyperring-2305.00364</loc><lastmod>2023-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/phi-k-n-absorbing-and-phi-k-n-absorbing-primary-hyperideals-in-a-krasner-m-n-hyperring-2305.00364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/phi-k-n-absorbing-and-phi-k-n-absorbing-primary-hyperideals-in-a-krasner-m-n-hyperring-2305.00364"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-thresholds-and-f-volumes-of-some-non-principal-ideals-2305.00571</loc><lastmod>2025-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-thresholds-and-f-volumes-of-some-non-principal-ideals-2305.00571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-thresholds-and-f-volumes-of-some-non-principal-ideals-2305.00571"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-path-ideals-of-line-graphs-2305.00670</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-path-ideals-of-line-graphs-2305.00670"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-path-ideals-of-line-graphs-2305.00670"/></url>
<url><loc>https://scifaro.com/en/abs/very-well-covered-graphs-via-the-rees-algebra-2305.01448</loc><lastmod>2023-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/very-well-covered-graphs-via-the-rees-algebra-2305.01448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/very-well-covered-graphs-via-the-rees-algebra-2305.01448"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-for-bipartite-determinantal-ideals-2305.01724</loc><lastmod>2024-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-for-bipartite-determinantal-ideals-2305.01724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-for-bipartite-determinantal-ideals-2305.01724"/></url>
<url><loc>https://scifaro.com/en/abs/straight-domains-are-locally-divided-2305.01809</loc><lastmod>2023-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/straight-domains-are-locally-divided-2305.01809"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/straight-domains-are-locally-divided-2305.01809"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-and-multiplicity-of-veronese-type-algebras-2305.01859</loc><lastmod>2026-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-and-multiplicity-of-veronese-type-algebras-2305.01859"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-and-multiplicity-of-veronese-type-algebras-2305.01859"/></url>
<url><loc>https://scifaro.com/en/abs/correction-to-powers-of-the-vertex-cover-ideals-collect-math-65-2014-169-181-2305.01940</loc><lastmod>2023-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/correction-to-powers-of-the-vertex-cover-ideals-collect-math-65-2014-169-181-2305.01940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/correction-to-powers-of-the-vertex-cover-ideals-collect-math-65-2014-169-181-2305.01940"/></url>
<url><loc>https://scifaro.com/en/abs/the-ratio-covariety-of-numerical-semigroups-with-fixed-multiplicity-and-frobenius-number-2305.02070</loc><lastmod>2023-05-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ratio-covariety-of-numerical-semigroups-with-fixed-multiplicity-and-frobenius-number-2305.02070"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ratio-covariety-of-numerical-semigroups-with-fixed-multiplicity-and-frobenius-number-2305.02070"/></url>
<url><loc>https://scifaro.com/en/abs/flat-dimension-for-power-series-over-valuation-rings-2305.03483</loc><lastmod>2025-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-dimension-for-power-series-over-valuation-rings-2305.03483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-dimension-for-power-series-over-valuation-rings-2305.03483"/></url>
<url><loc>https://scifaro.com/en/abs/collections-of-an-ideal-any-n-absorbing-ideal-is-strongly-n-absorbing-2305.03878</loc><lastmod>2023-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/collections-of-an-ideal-any-n-absorbing-ideal-is-strongly-n-absorbing-2305.03878"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/collections-of-an-ideal-any-n-absorbing-ideal-is-strongly-n-absorbing-2305.03878"/></url>
<url><loc>https://scifaro.com/en/abs/high-order-derivations-of-the-hasse-schmidt-algebra-2305.04537</loc><lastmod>2023-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/high-order-derivations-of-the-hasse-schmidt-algebra-2305.04537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/high-order-derivations-of-the-hasse-schmidt-algebra-2305.04537"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-bipartite-graphs-2305.05365</loc><lastmod>2023-05-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-bipartite-graphs-2305.05365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-bipartite-graphs-2305.05365"/></url>
<url><loc>https://scifaro.com/en/abs/green-lazarsfeld-property-n-p-for-segre-product-of-hibi-rings-2305.05659</loc><lastmod>2024-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/green-lazarsfeld-property-n-p-for-segre-product-of-hibi-rings-2305.05659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/green-lazarsfeld-property-n-p-for-segre-product-of-hibi-rings-2305.05659"/></url>
<url><loc>https://scifaro.com/en/abs/graph-rings-and-ideals-wolmer-vasconcelos-contributions-2305.06270</loc><lastmod>2025-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graph-rings-and-ideals-wolmer-vasconcelos-contributions-2305.06270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graph-rings-and-ideals-wolmer-vasconcelos-contributions-2305.06270"/></url>
<url><loc>https://scifaro.com/en/abs/prime-ideals-and-three-generated-ideals-with-large-regularity-2305.06532</loc><lastmod>2023-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-ideals-and-three-generated-ideals-with-large-regularity-2305.06532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-ideals-and-three-generated-ideals-with-large-regularity-2305.06532"/></url>
<url><loc>https://scifaro.com/en/abs/on-binomial-complete-intersections-2305.06835</loc><lastmod>2024-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-binomial-complete-intersections-2305.06835"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-binomial-complete-intersections-2305.06835"/></url>
<url><loc>https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-for-some-elementary-abelian-p-groups-2305.07520</loc><lastmod>2024-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-for-some-elementary-abelian-p-groups-2305.07520"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-invariants-of-a-vector-and-a-covector-for-some-elementary-abelian-p-groups-2305.07520"/></url>
<url><loc>https://scifaro.com/en/abs/a-calculation-of-the-perfectoidization-of-semiperfectoid-rings-2305.07916</loc><lastmod>2024-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-calculation-of-the-perfectoidization-of-semiperfectoid-rings-2305.07916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-calculation-of-the-perfectoidization-of-semiperfectoid-rings-2305.07916"/></url>
<url><loc>https://scifaro.com/en/abs/join-of-affine-semigroups-2305.08612</loc><lastmod>2023-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/join-of-affine-semigroups-2305.08612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/join-of-affine-semigroups-2305.08612"/></url>
<url><loc>https://scifaro.com/en/abs/almost-complete-intersection-lov-a-sz-saks-schrijver-ideals-and-regularity-of-their-powers-2305.09190</loc><lastmod>2026-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-complete-intersection-lov-a-sz-saks-schrijver-ideals-and-regularity-of-their-powers-2305.09190"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-complete-intersection-lov-a-sz-saks-schrijver-ideals-and-regularity-of-their-powers-2305.09190"/></url>
<url><loc>https://scifaro.com/en/abs/the-total-rank-conjecture-in-characteristic-two-2305.09771</loc><lastmod>2024-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-total-rank-conjecture-in-characteristic-two-2305.09771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-total-rank-conjecture-in-characteristic-two-2305.09771"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-computation-of-k-ahler-differentials-and-characterizations-of-galois-extensions-with-independent-defect-2305.10022</loc><lastmod>2025-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-computation-of-k-ahler-differentials-and-characterizations-of-galois-extensions-with-independent-defect-2305.10022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-computation-of-k-ahler-differentials-and-characterizations-of-galois-extensions-with-independent-defect-2305.10022"/></url>
<url><loc>https://scifaro.com/en/abs/kernels-of-linear-maps-a-generalization-of-duistermaat-and-van-der-kallens-theorem-2305.10062</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kernels-of-linear-maps-a-generalization-of-duistermaat-and-van-der-kallens-theorem-2305.10062"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kernels-of-linear-maps-a-generalization-of-duistermaat-and-van-der-kallens-theorem-2305.10062"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-result-of-cofinite-local-cohomology-modules-2305.10202</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-result-of-cofinite-local-cohomology-modules-2305.10202"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-result-of-cofinite-local-cohomology-modules-2305.10202"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-ii-2305.10220</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-ii-2305.10220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-lowey-length-of-modules-of-finite-projective-dimension-ii-2305.10220"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-dualizing-complexes-in-terms-of-g-c-dimension-2305.10244</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-dualizing-complexes-in-terms-of-g-c-dimension-2305.10244"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-dualizing-complexes-in-terms-of-g-c-dimension-2305.10244"/></url>
<url><loc>https://scifaro.com/en/abs/rings-whose-associated-extended-zero-divisor-graphs-are-complemented-2305.10280</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-whose-associated-extended-zero-divisor-graphs-are-complemented-2305.10280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-whose-associated-extended-zero-divisor-graphs-are-complemented-2305.10280"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-generalized-loca-cohomology-modules-with-respect-to-a-system-of-ideals-2305.10281</loc><lastmod>2023-05-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-generalized-loca-cohomology-modules-with-respect-to-a-system-of-ideals-2305.10281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-generalized-loca-cohomology-modules-with-respect-to-a-system-of-ideals-2305.10281"/></url>
<url><loc>https://scifaro.com/en/abs/mittag-leffler-modules-and-variants-on-intersection-flatness-2305.11139</loc><lastmod>2025-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mittag-leffler-modules-and-variants-on-intersection-flatness-2305.11139"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mittag-leffler-modules-and-variants-on-intersection-flatness-2305.11139"/></url>
<url><loc>https://scifaro.com/en/abs/the-strongly-robust-simplicial-complex-of-monomial-curves-2305.11743</loc><lastmod>2023-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strongly-robust-simplicial-complex-of-monomial-curves-2305.11743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strongly-robust-simplicial-complex-of-monomial-curves-2305.11743"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-aspects-of-complexes-of-finite-homological-dimensions-2305.12251</loc><lastmod>2023-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-aspects-of-complexes-of-finite-homological-dimensions-2305.12251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-aspects-of-complexes-of-finite-homological-dimensions-2305.12251"/></url>
<url><loc>https://scifaro.com/en/abs/blow-up-rings-and-f-rationality-2305.12383</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blow-up-rings-and-f-rationality-2305.12383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blow-up-rings-and-f-rationality-2305.12383"/></url>
<url><loc>https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-ii-2305.12469</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-ii-2305.12469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/colength-multiplicity-and-ideal-closure-operations-ii-2305.12469"/></url>
<url><loc>https://scifaro.com/en/abs/schubert-determinantal-ideals-are-hilbertian-2305.12558</loc><lastmod>2026-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/schubert-determinantal-ideals-are-hilbertian-2305.12558"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/schubert-determinantal-ideals-are-hilbertian-2305.12558"/></url>
<url><loc>https://scifaro.com/en/abs/partitioning-zero-divisor-graphs-of-finite-commutative-rings-into-global-defensive-alliances-2305.12942</loc><lastmod>2023-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partitioning-zero-divisor-graphs-of-finite-commutative-rings-into-global-defensive-alliances-2305.12942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partitioning-zero-divisor-graphs-of-finite-commutative-rings-into-global-defensive-alliances-2305.12942"/></url>
<url><loc>https://scifaro.com/en/abs/analysis-of-computing-gr-obner-bases-and-gr-obner-degenerations-via-theory-of-signatures-2305.13639</loc><lastmod>2023-07-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/analysis-of-computing-gr-obner-bases-and-gr-obner-degenerations-via-theory-of-signatures-2305.13639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/analysis-of-computing-gr-obner-bases-and-gr-obner-degenerations-via-theory-of-signatures-2305.13639"/></url>
<url><loc>https://scifaro.com/en/abs/the-covariety-of-saturated-numerical-semigroups-with-fixed-frobenius-number-2305.13881</loc><lastmod>2023-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-covariety-of-saturated-numerical-semigroups-with-fixed-frobenius-number-2305.13881"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-covariety-of-saturated-numerical-semigroups-with-fixed-frobenius-number-2305.13881"/></url>
<url><loc>https://scifaro.com/en/abs/finding-tensor-decompositions-with-sparse-optimization-2305.13964</loc><lastmod>2023-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finding-tensor-decompositions-with-sparse-optimization-2305.13964"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finding-tensor-decompositions-with-sparse-optimization-2305.13964"/></url>
<url><loc>https://scifaro.com/en/abs/the-covariety-of-perfect-numerical-semigroups-with-fixed-frobenius-number-2305.14967</loc><lastmod>2023-05-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-covariety-of-perfect-numerical-semigroups-with-fixed-frobenius-number-2305.14967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-covariety-of-perfect-numerical-semigroups-with-fixed-frobenius-number-2305.14967"/></url>
<url><loc>https://scifaro.com/en/abs/smooth-homomorphisms-admit-noetherian-reductions-2305.15409</loc><lastmod>2023-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/smooth-homomorphisms-admit-noetherian-reductions-2305.15409"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/smooth-homomorphisms-admit-noetherian-reductions-2305.15409"/></url>
<url><loc>https://scifaro.com/en/abs/the-f-regularity-of-algebraic-sets-related-to-commutator-matrices-2305.15487</loc><lastmod>2024-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-f-regularity-of-algebraic-sets-related-to-commutator-matrices-2305.15487"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-f-regularity-of-algebraic-sets-related-to-commutator-matrices-2305.15487"/></url>
<url><loc>https://scifaro.com/en/abs/the-unit-fractions-from-a-euclidean-domain-generate-a-dvr-2305.16518</loc><lastmod>2023-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-unit-fractions-from-a-euclidean-domain-generate-a-dvr-2305.16518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-unit-fractions-from-a-euclidean-domain-generate-a-dvr-2305.16518"/></url>
<url><loc>https://scifaro.com/en/abs/epsilon-multiplicity-and-analytic-spread-of-filtrations-2305.17532</loc><lastmod>2023-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/epsilon-multiplicity-and-analytic-spread-of-filtrations-2305.17532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/epsilon-multiplicity-and-analytic-spread-of-filtrations-2305.17532"/></url>
<url><loc>https://scifaro.com/en/abs/ladder-determinantal-varieties-and-their-symbolic-blowups-2305.18167</loc><lastmod>2026-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ladder-determinantal-varieties-and-their-symbolic-blowups-2305.18167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ladder-determinantal-varieties-and-their-symbolic-blowups-2305.18167"/></url>
<url><loc>https://scifaro.com/en/abs/on-w-copure-projective-modules-2305.18275</loc><lastmod>2023-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-w-copure-projective-modules-2305.18275"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-w-copure-projective-modules-2305.18275"/></url>
<url><loc>https://scifaro.com/en/abs/degrees-vasconcelos-contributions-2305.18579</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degrees-vasconcelos-contributions-2305.18579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degrees-vasconcelos-contributions-2305.18579"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-basis-and-krull-dimension-of-lov-asz-saks-sherijver-ideal-associated-to-a-tree-2305.18587</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-basis-and-krull-dimension-of-lov-asz-saks-sherijver-ideal-associated-to-a-tree-2305.18587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-basis-and-krull-dimension-of-lov-asz-saks-sherijver-ideal-associated-to-a-tree-2305.18587"/></url>
<url><loc>https://scifaro.com/en/abs/on-dedekind-domains-whose-class-groups-are-direct-sums-of-cyclic-groups-2305.18796</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-dedekind-domains-whose-class-groups-are-direct-sums-of-cyclic-groups-2305.18796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-dedekind-domains-whose-class-groups-are-direct-sums-of-cyclic-groups-2305.18796"/></url>
<url><loc>https://scifaro.com/en/abs/restricted-injective-dimensions-over-cohen-macaulay-rings-2305.18884</loc><lastmod>2023-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/restricted-injective-dimensions-over-cohen-macaulay-rings-2305.18884"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/restricted-injective-dimensions-over-cohen-macaulay-rings-2305.18884"/></url>
<url><loc>https://scifaro.com/en/abs/how-many-ideals-whose-quotient-rings-are-gorenstein-exist-2305.19633</loc><lastmod>2024-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-many-ideals-whose-quotient-rings-are-gorenstein-exist-2305.19633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-many-ideals-whose-quotient-rings-are-gorenstein-exist-2305.19633"/></url>
<url><loc>https://scifaro.com/en/abs/on-locally-nilpotent-derivations-of-polynomial-algebra-in-three-variables-2306.00510</loc><lastmod>2023-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-locally-nilpotent-derivations-of-polynomial-algebra-in-three-variables-2306.00510"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-locally-nilpotent-derivations-of-polynomial-algebra-in-three-variables-2306.00510"/></url>
<url><loc>https://scifaro.com/en/abs/differences-in-regularities-of-a-power-and-its-integral-closure-and-symbolic-power-2306.00661</loc><lastmod>2023-06-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differences-in-regularities-of-a-power-and-its-integral-closure-and-symbolic-power-2306.00661"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differences-in-regularities-of-a-power-and-its-integral-closure-and-symbolic-power-2306.00661"/></url>
<url><loc>https://scifaro.com/en/abs/periodicity-of-ideals-of-minors-in-free-resolutions-2306.00903</loc><lastmod>2025-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/periodicity-of-ideals-of-minors-in-free-resolutions-2306.00903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/periodicity-of-ideals-of-minors-in-free-resolutions-2306.00903"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-subatomicity-of-polynomial-semidomains-2306.01373</loc><lastmod>2023-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-subatomicity-of-polynomial-semidomains-2306.01373"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-subatomicity-of-polynomial-semidomains-2306.01373"/></url>
<url><loc>https://scifaro.com/en/abs/bipartite-determinantal-ideals-and-concurrent-vertex-maps-2306.01947</loc><lastmod>2024-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bipartite-determinantal-ideals-and-concurrent-vertex-maps-2306.01947"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bipartite-determinantal-ideals-and-concurrent-vertex-maps-2306.01947"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-facet-ideals-of-simplicial-trees-2306.01994</loc><lastmod>2026-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-facet-ideals-of-simplicial-trees-2306.01994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-facet-ideals-of-simplicial-trees-2306.01994"/></url>
<url><loc>https://scifaro.com/en/abs/polynomial-systems-admitting-a-simultaneous-solution-2306.02085</loc><lastmod>2025-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polynomial-systems-admitting-a-simultaneous-solution-2306.02085"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polynomial-systems-admitting-a-simultaneous-solution-2306.02085"/></url>
<url><loc>https://scifaro.com/en/abs/homology-of-multiple-complexes-and-mayer-vietoris-spectral-sequences-2306.02119</loc><lastmod>2023-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-multiple-complexes-and-mayer-vietoris-spectral-sequences-2306.02119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-multiple-complexes-and-mayer-vietoris-spectral-sequences-2306.02119"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-schubert-varieties-binomial-ideals-and-reduced-gr-obner-bases-2306.03006</loc><lastmod>2023-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-schubert-varieties-binomial-ideals-and-reduced-gr-obner-bases-2306.03006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-schubert-varieties-binomial-ideals-and-reduced-gr-obner-bases-2306.03006"/></url>
<url><loc>https://scifaro.com/en/abs/forcing-the-weak-lefschetz-property-for-equigenerated-monomial-ideals-2306.03188</loc><lastmod>2024-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/forcing-the-weak-lefschetz-property-for-equigenerated-monomial-ideals-2306.03188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/forcing-the-weak-lefschetz-property-for-equigenerated-monomial-ideals-2306.03188"/></url>
<url><loc>https://scifaro.com/en/abs/abelian-category-of-cominimax-modules-and-local-cohomology-2306.03433</loc><lastmod>2023-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/abelian-category-of-cominimax-modules-and-local-cohomology-2306.03433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/abelian-category-of-cominimax-modules-and-local-cohomology-2306.03433"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-of-whiskered-graphs-2306.04393</loc><lastmod>2023-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-whiskered-graphs-2306.04393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-whiskered-graphs-2306.04393"/></url>
<url><loc>https://scifaro.com/en/abs/power-closed-ideals-of-polynomial-and-laurent-polynomial-rings-2306.04547</loc><lastmod>2023-06-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/power-closed-ideals-of-polynomial-and-laurent-polynomial-rings-2306.04547"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/power-closed-ideals-of-polynomial-and-laurent-polynomial-rings-2306.04547"/></url>
<url><loc>https://scifaro.com/en/abs/units-of-hyperelliptic-curves-over-mathbb-f-2-2306.04838</loc><lastmod>2025-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/units-of-hyperelliptic-curves-over-mathbb-f-2-2306.04838"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/units-of-hyperelliptic-curves-over-mathbb-f-2-2306.04838"/></url>
<url><loc>https://scifaro.com/en/abs/k-ahler-differentials-of-extensions-of-valuation-rings-and-deeply-ramified-fields-2306.04967</loc><lastmod>2025-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-ahler-differentials-of-extensions-of-valuation-rings-and-deeply-ramified-fields-2306.04967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-ahler-differentials-of-extensions-of-valuation-rings-and-deeply-ramified-fields-2306.04967"/></url>
<url><loc>https://scifaro.com/en/abs/the-toric-ring-of-one-dimensional-simplicial-complexes-2306.05020</loc><lastmod>2023-06-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-toric-ring-of-one-dimensional-simplicial-complexes-2306.05020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-toric-ring-of-one-dimensional-simplicial-complexes-2306.05020"/></url>
<url><loc>https://scifaro.com/en/abs/n-absorbing-i-prime-hyperideals-in-multiplicative-hyperrings-2306.05687</loc><lastmod>2023-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-absorbing-i-prime-hyperideals-in-multiplicative-hyperrings-2306.05687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-absorbing-i-prime-hyperideals-in-multiplicative-hyperrings-2306.05687"/></url>
<url><loc>https://scifaro.com/en/abs/vertex-decomposability-shellability-and-cohen-macaulayness-of-graphs-upon-graph-operations-2306.07354</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vertex-decomposability-shellability-and-cohen-macaulayness-of-graphs-upon-graph-operations-2306.07354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vertex-decomposability-shellability-and-cohen-macaulayness-of-graphs-upon-graph-operations-2306.07354"/></url>
<url><loc>https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-ii-2306.07361</loc><lastmod>2023-06-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-ii-2306.07361"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-sub-functor-for-ext-and-cohen-macaulay-associated-graded-modules-with-bounded-multiplicity-ii-2306.07361"/></url>
<url><loc>https://scifaro.com/en/abs/the-spark-randomizer-a-learned-randomized-framework-for-computing-gr-obner-bases-2306.08279</loc><lastmod>2023-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-spark-randomizer-a-learned-randomized-framework-for-computing-gr-obner-bases-2306.08279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-spark-randomizer-a-learned-randomized-framework-for-computing-gr-obner-bases-2306.08279"/></url>
<url><loc>https://scifaro.com/en/abs/re-embeddings-of-affine-algebras-via-gr-obner-fans-of-linear-ideals-2306.08481</loc><lastmod>2024-01-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/re-embeddings-of-affine-algebras-via-gr-obner-fans-of-linear-ideals-2306.08481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/re-embeddings-of-affine-algebras-via-gr-obner-fans-of-linear-ideals-2306.08481"/></url>
<url><loc>https://scifaro.com/en/abs/the-ideal-theory-of-intersections-of-prime-divisors-dominating-a-normal-noetherian-local-domain-of-dimension-two-2306.08569</loc><lastmod>2023-06-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ideal-theory-of-intersections-of-prime-divisors-dominating-a-normal-noetherian-local-domain-of-dimension-two-2306.08569"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ideal-theory-of-intersections-of-prime-divisors-dominating-a-normal-noetherian-local-domain-of-dimension-two-2306.08569"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-depth-of-monomial-ideals-2306.09450</loc><lastmod>2025-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-monomial-ideals-2306.09450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-monomial-ideals-2306.09450"/></url>
<url><loc>https://scifaro.com/en/abs/existence-and-construction-of-a-gr-obner-basis-for-a-polynomial-ideal-2306.09602</loc><lastmod>2023-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/existence-and-construction-of-a-gr-obner-basis-for-a-polynomial-ideal-2306.09602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/existence-and-construction-of-a-gr-obner-basis-for-a-polynomial-ideal-2306.09602"/></url>
<url><loc>https://scifaro.com/en/abs/wilf-inequality-is-preserved-under-gluing-of-semigroups-2306.09876</loc><lastmod>2025-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wilf-inequality-is-preserved-under-gluing-of-semigroups-2306.09876"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wilf-inequality-is-preserved-under-gluing-of-semigroups-2306.09876"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-depth-of-certain-monomial-ideals-and-applications-2306.11015</loc><lastmod>2024-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-certain-monomial-ideals-and-applications-2306.11015"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-certain-monomial-ideals-and-applications-2306.11015"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-via-projections-and-via-quotients-2306.11564</loc><lastmod>2024-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-via-projections-and-via-quotients-2306.11564"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-via-projections-and-via-quotients-2306.11564"/></url>
<url><loc>https://scifaro.com/en/abs/stability-theorems-for-positively-graded-domains-and-a-question-of-lindel-2306.12778</loc><lastmod>2025-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-theorems-for-positively-graded-domains-and-a-question-of-lindel-2306.12778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-theorems-for-positively-graded-domains-and-a-question-of-lindel-2306.12778"/></url>
<url><loc>https://scifaro.com/en/abs/applications-of-reduced-and-coreduced-modules-ii-radicality-of-the-functor-text-hom-r-r-i-2306.12871</loc><lastmod>2025-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/applications-of-reduced-and-coreduced-modules-ii-radicality-of-the-functor-text-hom-r-r-i-2306.12871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/applications-of-reduced-and-coreduced-modules-ii-radicality-of-the-functor-text-hom-r-r-i-2306.12871"/></url>
<url><loc>https://scifaro.com/en/abs/non-surjective-milnor-patching-diagrams-2306.13180</loc><lastmod>2023-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-surjective-milnor-patching-diagrams-2306.13180"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-surjective-milnor-patching-diagrams-2306.13180"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-and-decompositions-of-singularity-categories-2306.13223</loc><lastmod>2023-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-and-decompositions-of-singularity-categories-2306.13223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-and-decompositions-of-singularity-categories-2306.13223"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-and-mixed-multiplicities-of-monomial-ideals-2306.13274</loc><lastmod>2023-06-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-and-mixed-multiplicities-of-monomial-ideals-2306.13274"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-and-mixed-multiplicities-of-monomial-ideals-2306.13274"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-the-text-v-number-of-homogeneous-ideals-2306.14243</loc><lastmod>2023-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-the-text-v-number-of-homogeneous-ideals-2306.14243"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-the-text-v-number-of-homogeneous-ideals-2306.14243"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-modular-invariant-rings-2306.14279</loc><lastmod>2024-03-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-modular-invariant-rings-2306.14279"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-modular-invariant-rings-2306.14279"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-eagon-type-theorem-for-serre-s-s-n-condition-2306.14366</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-eagon-type-theorem-for-serre-s-s-n-condition-2306.14366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-eagon-type-theorem-for-serre-s-s-n-condition-2306.14366"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-symbolic-powers-of-cover-ideals-2306.14420</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-symbolic-powers-of-cover-ideals-2306.14420"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-symbolic-powers-of-cover-ideals-2306.14420"/></url>
<url><loc>https://scifaro.com/en/abs/indecomposability-of-graded-modules-over-a-graded-ring-2306.14523</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indecomposability-of-graded-modules-over-a-graded-ring-2306.14523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indecomposability-of-graded-modules-over-a-graded-ring-2306.14523"/></url>
<url><loc>https://scifaro.com/en/abs/a-connectedness-theorem-for-spaces-of-valuation-rings-2306.14833</loc><lastmod>2023-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-connectedness-theorem-for-spaces-of-valuation-rings-2306.14833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-connectedness-theorem-for-spaces-of-valuation-rings-2306.14833"/></url>
<url><loc>https://scifaro.com/en/abs/semidualizing-modules-over-numerical-semigroup-rings-2306.14989</loc><lastmod>2023-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semidualizing-modules-over-numerical-semigroup-rings-2306.14989"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semidualizing-modules-over-numerical-semigroup-rings-2306.14989"/></url>
<url><loc>https://scifaro.com/en/abs/the-local-picard-group-of-a-ring-extension-2306.15439</loc><lastmod>2023-06-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-local-picard-group-of-a-ring-extension-2306.15439"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-local-picard-group-of-a-ring-extension-2306.15439"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-recursive-and-explicit-form-of-the-general-j-c-p-miller-formula-with-applications-2306.15750</loc><lastmod>2025-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-recursive-and-explicit-form-of-the-general-j-c-p-miller-formula-with-applications-2306.15750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-recursive-and-explicit-form-of-the-general-j-c-p-miller-formula-with-applications-2306.15750"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-going-down-domains-2306.16067</loc><lastmod>2024-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-going-down-domains-2306.16067"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-going-down-domains-2306.16067"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-triviality-of-an-mathbb-a-2-fibration-over-a-dvr-2306.16249</loc><lastmod>2023-06-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-triviality-of-an-mathbb-a-2-fibration-over-a-dvr-2306.16249"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-triviality-of-an-mathbb-a-2-fibration-over-a-dvr-2306.16249"/></url>
<url><loc>https://scifaro.com/en/abs/the-skolem-property-in-rings-of-integer-valued-rational-functions-2306.16385</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-skolem-property-in-rings-of-integer-valued-rational-functions-2306.16385"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-skolem-property-in-rings-of-integer-valued-rational-functions-2306.16385"/></url>
<url><loc>https://scifaro.com/en/abs/on-lengths-of-mathbb-f-2-x-y-z-x-d-1-y-d-2-z-d-3-x-y-z-2306.16574</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-lengths-of-mathbb-f-2-x-y-z-x-d-1-y-d-2-z-d-3-x-y-z-2306.16574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-lengths-of-mathbb-f-2-x-y-z-x-d-1-y-d-2-z-d-3-x-y-z-2306.16574"/></url>
<url><loc>https://scifaro.com/en/abs/planar-splines-on-a-triangulation-with-a-single-totally-interior-edge-2306.16825</loc><lastmod>2023-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/planar-splines-on-a-triangulation-with-a-single-totally-interior-edge-2306.16825"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/planar-splines-on-a-triangulation-with-a-single-totally-interior-edge-2306.16825"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-behavior-of-reduced-type-of-one-dimensional-rings-2306.17069</loc><lastmod>2023-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-behavior-of-reduced-type-of-one-dimensional-rings-2306.17069"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-behavior-of-reduced-type-of-one-dimensional-rings-2306.17069"/></url>
<url><loc>https://scifaro.com/en/abs/azumaya-algebras-and-barr-theorem-2306.17679</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/azumaya-algebras-and-barr-theorem-2306.17679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/azumaya-algebras-and-barr-theorem-2306.17679"/></url>
<url><loc>https://scifaro.com/en/abs/jordan-type-of-an-artinian-algebra-a-survey-2307.00957</loc><lastmod>2023-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jordan-type-of-an-artinian-algebra-a-survey-2307.00957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jordan-type-of-an-artinian-algebra-a-survey-2307.00957"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-ratliff-rush-filtration-reduction-number-and-postulation-number-of-mathfrak-m-primary-ideals-2307.01196</loc><lastmod>2026-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-ratliff-rush-filtration-reduction-number-and-postulation-number-of-mathfrak-m-primary-ideals-2307.01196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-ratliff-rush-filtration-reduction-number-and-postulation-number-of-mathfrak-m-primary-ideals-2307.01196"/></url>
<url><loc>https://scifaro.com/en/abs/factorization-of-rings-of-integer-valued-rational-functions-2307.01355</loc><lastmod>2024-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorization-of-rings-of-integer-valued-rational-functions-2307.01355"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorization-of-rings-of-integer-valued-rational-functions-2307.01355"/></url>
<url><loc>https://scifaro.com/en/abs/the-module-of-k-ahler-differentials-for-extensions-of-valuation-rings-2307.02315</loc><lastmod>2023-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-module-of-k-ahler-differentials-for-extensions-of-valuation-rings-2307.02315"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-module-of-k-ahler-differentials-for-extensions-of-valuation-rings-2307.02315"/></url>
<url><loc>https://scifaro.com/en/abs/monic-inversion-principle-and-complete-intersection-2307.02441</loc><lastmod>2023-07-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monic-inversion-principle-and-complete-intersection-2307.02441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monic-inversion-principle-and-complete-intersection-2307.02441"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-functions-of-chopped-ideals-2307.02560</loc><lastmod>2024-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-functions-of-chopped-ideals-2307.02560"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-functions-of-chopped-ideals-2307.02560"/></url>
<url><loc>https://scifaro.com/en/abs/several-combinatorial-inequalities-related-to-squarefree-monomial-ideals-2307.03018</loc><lastmod>2024-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/several-combinatorial-inequalities-related-to-squarefree-monomial-ideals-2307.03018"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/several-combinatorial-inequalities-related-to-squarefree-monomial-ideals-2307.03018"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-mathfrak-c-monomial-ideals-in-characteristic-zero-2307.03574</loc><lastmod>2023-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-mathfrak-c-monomial-ideals-in-characteristic-zero-2307.03574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-of-mathfrak-c-monomial-ideals-in-characteristic-zero-2307.03574"/></url>
<url><loc>https://scifaro.com/en/abs/the-morseresolutions-package-for-macaulay2-2307.03633</loc><lastmod>2023-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-morseresolutions-package-for-macaulay2-2307.03633"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-morseresolutions-package-for-macaulay2-2307.03633"/></url>
<url><loc>https://scifaro.com/en/abs/flat-morphisms-with-regular-fibers-do-not-preserve-f-rationality-2307.03785</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-morphisms-with-regular-fibers-do-not-preserve-f-rationality-2307.03785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-morphisms-with-regular-fibers-do-not-preserve-f-rationality-2307.03785"/></url>
<url><loc>https://scifaro.com/en/abs/about-the-algebraic-closure-of-formal-power-series-in-several-variables-2307.04424</loc><lastmod>2023-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-the-algebraic-closure-of-formal-power-series-in-several-variables-2307.04424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-the-algebraic-closure-of-formal-power-series-in-several-variables-2307.04424"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-homology-of-f-finite-module-and-applications-2307.04473</loc><lastmod>2023-07-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-homology-of-f-finite-module-and-applications-2307.04473"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-homology-of-f-finite-module-and-applications-2307.04473"/></url>
<url><loc>https://scifaro.com/en/abs/macaulay-posets-and-rings-2307.05094</loc><lastmod>2025-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/macaulay-posets-and-rings-2307.05094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/macaulay-posets-and-rings-2307.05094"/></url>
<url><loc>https://scifaro.com/en/abs/n-absorbing-ideal-factorization-in-commutative-rings-2307.05231</loc><lastmod>2024-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/n-absorbing-ideal-factorization-in-commutative-rings-2307.05231"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/n-absorbing-ideal-factorization-in-commutative-rings-2307.05231"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-the-tangent-cones-of-monomial-space-curves-2307.05589</loc><lastmod>2023-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-the-tangent-cones-of-monomial-space-curves-2307.05589"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-the-tangent-cones-of-monomial-space-curves-2307.05589"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-betti-numbers-of-fiber-products-2307.05715</loc><lastmod>2023-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-betti-numbers-of-fiber-products-2307.05715"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-betti-numbers-of-fiber-products-2307.05715"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-for-syzygies-of-monomial-curves-2307.05770</loc><lastmod>2024-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-syzygies-of-monomial-curves-2307.05770"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-syzygies-of-monomial-curves-2307.05770"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-set-of-bad-primes-in-the-study-of-casas-alvero-conjecture-2307.05997</loc><lastmod>2023-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-set-of-bad-primes-in-the-study-of-casas-alvero-conjecture-2307.05997"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-set-of-bad-primes-in-the-study-of-casas-alvero-conjecture-2307.05997"/></url>
<url><loc>https://scifaro.com/en/abs/on-coefficient-module-of-arbitrary-modules-2307.06121</loc><lastmod>2023-07-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-coefficient-module-of-arbitrary-modules-2307.06121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-coefficient-module-of-arbitrary-modules-2307.06121"/></url>
<url><loc>https://scifaro.com/en/abs/integer-valued-rational-functions-over-globalized-pseudovaluation-domains-2307.06446</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integer-valued-rational-functions-over-globalized-pseudovaluation-domains-2307.06446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integer-valued-rational-functions-over-globalized-pseudovaluation-domains-2307.06446"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-and-subcategories-of-modules-2307.06727</loc><lastmod>2023-07-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-and-subcategories-of-modules-2307.06727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-of-local-cohomology-modules-and-subcategories-of-modules-2307.06727"/></url>
<url><loc>https://scifaro.com/en/abs/cellularresolutions-m2-package-2307.08224</loc><lastmod>2023-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellularresolutions-m2-package-2307.08224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellularresolutions-m2-package-2307.08224"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2307.09179</loc><lastmod>2025-03-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2307.09179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2307.09179"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-binomial-part-of-a-polynomial-ideal-2307.09394</loc><lastmod>2023-07-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-binomial-part-of-a-polynomial-ideal-2307.09394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-binomial-part-of-a-polynomial-ideal-2307.09394"/></url>
<url><loc>https://scifaro.com/en/abs/a-weaker-notion-of-the-finite-factorization-property-2307.09645</loc><lastmod>2024-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-weaker-notion-of-the-finite-factorization-property-2307.09645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-weaker-notion-of-the-finite-factorization-property-2307.09645"/></url>
<url><loc>https://scifaro.com/en/abs/archimedean-classes-in-additive-monoids-2307.09962</loc><lastmod>2023-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/archimedean-classes-in-additive-monoids-2307.09962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/archimedean-classes-in-additive-monoids-2307.09962"/></url>
<url><loc>https://scifaro.com/en/abs/computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-2307.10124</loc><lastmod>2023-07-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-2307.10124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-mixed-multiplicities-mixed-volumes-and-sectional-milnor-numbers-2307.10124"/></url>
<url><loc>https://scifaro.com/en/abs/on-uniformly-s-w-noetherian-rings-and-modules-2307.10309</loc><lastmod>2024-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-uniformly-s-w-noetherian-rings-and-modules-2307.10309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-uniformly-s-w-noetherian-rings-and-modules-2307.10309"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-chordal-and-simplicial-graphs-2307.10416</loc><lastmod>2023-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-chordal-and-simplicial-graphs-2307.10416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-oriented-chordal-and-simplicial-graphs-2307.10416"/></url>
<url><loc>https://scifaro.com/en/abs/rings-where-a-non-nilpotent-sum-of-units-is-a-unit-2307.11036</loc><lastmod>2025-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-where-a-non-nilpotent-sum-of-units-is-a-unit-2307.11036"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-where-a-non-nilpotent-sum-of-units-is-a-unit-2307.11036"/></url>
<url><loc>https://scifaro.com/en/abs/local-equivalence-via-homological-algebra-2307.11176</loc><lastmod>2023-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-equivalence-via-homological-algebra-2307.11176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-equivalence-via-homological-algebra-2307.11176"/></url>
<url><loc>https://scifaro.com/en/abs/characterizing-baer-modules-over-tau-q-semisimple-rings-an-extension-of-baer-s-problem-2307.11367</loc><lastmod>2025-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterizing-baer-modules-over-tau-q-semisimple-rings-an-extension-of-baer-s-problem-2307.11367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterizing-baer-modules-over-tau-q-semisimple-rings-an-extension-of-baer-s-problem-2307.11367"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-properties-of-the-asymptotic-samuel-function-2307.11489</loc><lastmod>2025-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-properties-of-the-asymptotic-samuel-function-2307.11489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-properties-of-the-asymptotic-samuel-function-2307.11489"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-invariants-of-edge-ideals-of-cubic-circulant-graphs-2307.12669</loc><lastmod>2023-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-invariants-of-edge-ideals-of-cubic-circulant-graphs-2307.12669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-invariants-of-edge-ideals-of-cubic-circulant-graphs-2307.12669"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-two-periodic-modules-over-local-rings-2307.12752</loc><lastmod>2023-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-two-periodic-modules-over-local-rings-2307.12752"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-two-periodic-modules-over-local-rings-2307.12752"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-injective-dimension-and-exceptional-complete-intersection-maps-2307.13121</loc><lastmod>2023-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-injective-dimension-and-exceptional-complete-intersection-maps-2307.13121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-injective-dimension-and-exceptional-complete-intersection-maps-2307.13121"/></url>
<url><loc>https://scifaro.com/en/abs/betti-tables-forcing-failure-of-the-weak-lefschetz-property-2307.13126</loc><lastmod>2023-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-tables-forcing-failure-of-the-weak-lefschetz-property-2307.13126"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-tables-forcing-failure-of-the-weak-lefschetz-property-2307.13126"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-almost-gorenstein-rings-2307.13479</loc><lastmod>2024-01-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-almost-gorenstein-rings-2307.13479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-almost-gorenstein-rings-2307.13479"/></url>
<url><loc>https://scifaro.com/en/abs/the-homotopy-category-of-monomorphisms-between-projective-modules-2307.13559</loc><lastmod>2023-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-homotopy-category-of-monomorphisms-between-projective-modules-2307.13559"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-homotopy-category-of-monomorphisms-between-projective-modules-2307.13559"/></url>
<url><loc>https://scifaro.com/en/abs/strong-generation-for-module-categories-2307.13675</loc><lastmod>2025-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-generation-for-module-categories-2307.13675"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-generation-for-module-categories-2307.13675"/></url>
<url><loc>https://scifaro.com/en/abs/a-criterion-for-sequential-cohen-macaulayness-2307.14483</loc><lastmod>2023-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-sequential-cohen-macaulayness-2307.14483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-sequential-cohen-macaulayness-2307.14483"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-dimension-of-cofinite-modules-2307.14513</loc><lastmod>2023-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-dimension-of-cofinite-modules-2307.14513"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-dimension-of-cofinite-modules-2307.14513"/></url>
<url><loc>https://scifaro.com/en/abs/rationality-for-arbitrary-closure-operations-and-the-test-ideal-of-full-extended-plus-closure-2307.14958</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rationality-for-arbitrary-closure-operations-and-the-test-ideal-of-full-extended-plus-closure-2307.14958"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rationality-for-arbitrary-closure-operations-and-the-test-ideal-of-full-extended-plus-closure-2307.14958"/></url>
<url><loc>https://scifaro.com/en/abs/lengths-of-modules-over-short-artin-local-rings-2307.16132</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lengths-of-modules-over-short-artin-local-rings-2307.16132"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lengths-of-modules-over-short-artin-local-rings-2307.16132"/></url>
<url><loc>https://scifaro.com/en/abs/phi-delta-s-primary-submodule-2307.16175</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/phi-delta-s-primary-submodule-2307.16175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/phi-delta-s-primary-submodule-2307.16175"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-simplicial-affine-semigroup-rings-2307.16501</loc><lastmod>2023-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-simplicial-affine-semigroup-rings-2307.16501"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-simplicial-affine-semigroup-rings-2307.16501"/></url>
<url><loc>https://scifaro.com/en/abs/the-eventual-shape-of-the-betti-table-of-mathfrak-m-km-2308.00639</loc><lastmod>2023-09-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-eventual-shape-of-the-betti-table-of-mathfrak-m-km-2308.00639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-eventual-shape-of-the-betti-table-of-mathfrak-m-km-2308.00639"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-associated-graded-modules-2308.00654</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-associated-graded-modules-2308.00654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-associated-graded-modules-2308.00654"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cycles-and-trees-2308.00874</loc><lastmod>2023-08-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cycles-and-trees-2308.00874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cycles-and-trees-2308.00874"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-associated-prime-ideals-of-small-height-2308.01357</loc><lastmod>2023-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-associated-prime-ideals-of-small-height-2308.01357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-associated-prime-ideals-of-small-height-2308.01357"/></url>
<url><loc>https://scifaro.com/en/abs/equations-of-the-multi-rees-algebra-of-fattened-coordinate-subspaces-2308.01668</loc><lastmod>2023-08-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equations-of-the-multi-rees-algebra-of-fattened-coordinate-subspaces-2308.01668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equations-of-the-multi-rees-algebra-of-fattened-coordinate-subspaces-2308.01668"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-quadratic-forms-2308.01795</loc><lastmod>2024-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-quadratic-forms-2308.01795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-quadratic-forms-2308.01795"/></url>
<url><loc>https://scifaro.com/en/abs/differential-modules-and-deformations-of-free-complexes-2308.01973</loc><lastmod>2023-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/differential-modules-and-deformations-of-free-complexes-2308.01973"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/differential-modules-and-deformations-of-free-complexes-2308.01973"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-matlis-localizations-2308.02072</loc><lastmod>2023-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-matlis-localizations-2308.02072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-matlis-localizations-2308.02072"/></url>
<url><loc>https://scifaro.com/en/abs/efficient-algorithms-for-finite-mathbb-z-algebras-2308.02610</loc><lastmod>2024-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficient-algorithms-for-finite-mathbb-z-algebras-2308.02610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficient-algorithms-for-finite-mathbb-z-algebras-2308.02610"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-regular-quotients-and-some-edge-rings-2308.02791</loc><lastmod>2023-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-regular-quotients-and-some-edge-rings-2308.02791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-regular-quotients-and-some-edge-rings-2308.02791"/></url>
<url><loc>https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-generic-symmetric-principal-ideal-2308.03141</loc><lastmod>2024-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-generic-symmetric-principal-ideal-2308.03141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-minimal-free-resolution-of-a-generic-symmetric-principal-ideal-2308.03141"/></url>
<url><loc>https://scifaro.com/en/abs/an-eisenbud-goto-type-inequality-for-stanley-reisner-ideals-and-simplicial-complexes-2308.03338</loc><lastmod>2023-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-eisenbud-goto-type-inequality-for-stanley-reisner-ideals-and-simplicial-complexes-2308.03338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-eisenbud-goto-type-inequality-for-stanley-reisner-ideals-and-simplicial-complexes-2308.03338"/></url>
<url><loc>https://scifaro.com/en/abs/dao-s-question-on-the-asymptotic-behaviour-of-fullness-2308.03997</loc><lastmod>2023-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dao-s-question-on-the-asymptotic-behaviour-of-fullness-2308.03997"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dao-s-question-on-the-asymptotic-behaviour-of-fullness-2308.03997"/></url>
<url><loc>https://scifaro.com/en/abs/nearly-gorenstein-local-rings-defined-by-maximal-minors-of-a-2-times-n-matrix-2308.04234</loc><lastmod>2023-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nearly-gorenstein-local-rings-defined-by-maximal-minors-of-a-2-times-n-matrix-2308.04234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nearly-gorenstein-local-rings-defined-by-maximal-minors-of-a-2-times-n-matrix-2308.04234"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-symbolic-and-ordinary-powers-of-weighted-oriented-graphs-and-their-upper-bounds-2308.04705</loc><lastmod>2024-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-symbolic-and-ordinary-powers-of-weighted-oriented-graphs-and-their-upper-bounds-2308.04705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-symbolic-and-ordinary-powers-of-weighted-oriented-graphs-and-their-upper-bounds-2308.04705"/></url>
<url><loc>https://scifaro.com/en/abs/a-remark-on-sequentially-cohen-macaulay-monomial-ideals-2308.04979</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-remark-on-sequentially-cohen-macaulay-monomial-ideals-2308.04979"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-remark-on-sequentially-cohen-macaulay-monomial-ideals-2308.04979"/></url>
<url><loc>https://scifaro.com/en/abs/the-sequentially-cohen-macaulay-property-of-edge-ideals-of-edge-weighted-graphs-2308.05020</loc><lastmod>2023-08-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-sequentially-cohen-macaulay-property-of-edge-ideals-of-edge-weighted-graphs-2308.05020"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-sequentially-cohen-macaulay-property-of-edge-ideals-of-edge-weighted-graphs-2308.05020"/></url>
<url><loc>https://scifaro.com/en/abs/rigidity-of-graded-integral-domains-and-of-their-veronese-subrings-2308.05066</loc><lastmod>2025-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigidity-of-graded-integral-domains-and-of-their-veronese-subrings-2308.05066"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigidity-of-graded-integral-domains-and-of-their-veronese-subrings-2308.05066"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-finiteness-of-radii-of-resolving-subcategories-2308.05296</loc><lastmod>2023-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-finiteness-of-radii-of-resolving-subcategories-2308.05296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-finiteness-of-radii-of-resolving-subcategories-2308.05296"/></url>
<url><loc>https://scifaro.com/en/abs/graded-perinormality-2308.05299</loc><lastmod>2023-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-perinormality-2308.05299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-perinormality-2308.05299"/></url>
<url><loc>https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-in-arbitrary-characteristic-2308.05424</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-in-arbitrary-characteristic-2308.05424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-algebraic-characterization-of-the-affine-three-space-in-arbitrary-characteristic-2308.05424"/></url>
<url><loc>https://scifaro.com/en/abs/level-and-pseudo-gorenstein-path-polyominoes-2308.05461</loc><lastmod>2023-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/level-and-pseudo-gorenstein-path-polyominoes-2308.05461"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/level-and-pseudo-gorenstein-path-polyominoes-2308.05461"/></url>
<url><loc>https://scifaro.com/en/abs/generating-sequences-of-valuations-on-simple-extensions-of-domains-2308.05656</loc><lastmod>2023-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generating-sequences-of-valuations-on-simple-extensions-of-domains-2308.05656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generating-sequences-of-valuations-on-simple-extensions-of-domains-2308.05656"/></url>
<url><loc>https://scifaro.com/en/abs/the-circ-operation-and-operation-of-fan-graphs-2308.06010</loc><lastmod>2023-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-circ-operation-and-operation-of-fan-graphs-2308.06010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-circ-operation-and-operation-of-fan-graphs-2308.06010"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-and-normality-of-edge-ideals-of-some-edge-weighted-graphs-2308.06016</loc><lastmod>2023-08-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-and-normality-of-edge-ideals-of-some-edge-weighted-graphs-2308.06016"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-and-normality-of-edge-ideals-of-some-edge-weighted-graphs-2308.06016"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-generalization-of-ulrich-modules-and-its-applications-2308.06606</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-generalization-of-ulrich-modules-and-its-applications-2308.06606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-generalization-of-ulrich-modules-and-its-applications-2308.06606"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-primeness-of-skew-hurwitz-polynomial-rings-2308.06765</loc><lastmod>2023-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-primeness-of-skew-hurwitz-polynomial-rings-2308.06765"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-primeness-of-skew-hurwitz-polynomial-rings-2308.06765"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-products-and-solutions-to-two-homological-conjectures-for-ulrich-modules-2308.07856</loc><lastmod>2023-08-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-products-and-solutions-to-two-homological-conjectures-for-ulrich-modules-2308.07856"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-products-and-solutions-to-two-homological-conjectures-for-ulrich-modules-2308.07856"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-v-number-for-some-monomial-ideals-2308.08604</loc><lastmod>2023-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-v-number-for-some-monomial-ideals-2308.08604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-v-number-for-some-monomial-ideals-2308.08604"/></url>
<url><loc>https://scifaro.com/en/abs/direct-limits-of-gorenstein-injective-modules-2308.08699</loc><lastmod>2023-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/direct-limits-of-gorenstein-injective-modules-2308.08699"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/direct-limits-of-gorenstein-injective-modules-2308.08699"/></url>
<url><loc>https://scifaro.com/en/abs/two-theorems-on-the-vanishing-of-ext-2308.08999</loc><lastmod>2023-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-theorems-on-the-vanishing-of-ext-2308.08999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-theorems-on-the-vanishing-of-ext-2308.08999"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-2308.09056</loc><lastmod>2026-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-2308.09056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-permutation-invariants-cohen-macaulay-2308.09056"/></url>
<url><loc>https://scifaro.com/en/abs/the-constructive-content-of-a-local-global-principle-with-an-application-to-the-structure-of-a-finitely-generated-projective-module-2308.09371</loc><lastmod>2023-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-constructive-content-of-a-local-global-principle-with-an-application-to-the-structure-of-a-finitely-generated-projective-module-2308.09371"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-constructive-content-of-a-local-global-principle-with-an-application-to-the-structure-of-a-finitely-generated-projective-module-2308.09371"/></url>
<url><loc>https://scifaro.com/en/abs/stable-value-of-depth-of-symbolic-powers-of-edge-ideals-of-graphs-2308.09967</loc><lastmod>2024-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-value-of-depth-of-symbolic-powers-of-edge-ideals-of-graphs-2308.09967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-value-of-depth-of-symbolic-powers-of-edge-ideals-of-graphs-2308.09967"/></url>
<url><loc>https://scifaro.com/en/abs/the-mathrm-v-number-and-castelnuovo-mumford-regularity-of-cover-ideals-of-graphs-2308.09996</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mathrm-v-number-and-castelnuovo-mumford-regularity-of-cover-ideals-of-graphs-2308.09996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mathrm-v-number-and-castelnuovo-mumford-regularity-of-cover-ideals-of-graphs-2308.09996"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-de-krull-nullstellens-atze-et-evaluation-dynamique-2308.10296</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-de-krull-nullstellens-atze-et-evaluation-dynamique-2308.10296"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-de-krull-nullstellens-atze-et-evaluation-dynamique-2308.10296"/></url>
<url><loc>https://scifaro.com/en/abs/f-holonomic-f-modules-2308.10366</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-holonomic-f-modules-2308.10366"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-holonomic-f-modules-2308.10366"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-index-of-depth-stability-of-symbolic-powers-of-cover-ideals-of-graphs-2308.10463</loc><lastmod>2023-08-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-index-of-depth-stability-of-symbolic-powers-of-cover-ideals-of-graphs-2308.10463"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-index-of-depth-stability-of-symbolic-powers-of-cover-ideals-of-graphs-2308.10463"/></url>
<url><loc>https://scifaro.com/en/abs/the-bourbaki-degree-of-plane-projective-curves-2308.11467</loc><lastmod>2023-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-bourbaki-degree-of-plane-projective-curves-2308.11467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-bourbaki-degree-of-plane-projective-curves-2308.11467"/></url>
<url><loc>https://scifaro.com/en/abs/extremal-factorization-lengths-of-elements-in-commutative-cancellative-semigroups-2308.11602</loc><lastmod>2023-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extremal-factorization-lengths-of-elements-in-commutative-cancellative-semigroups-2308.11602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extremal-factorization-lengths-of-elements-in-commutative-cancellative-semigroups-2308.11602"/></url>
<url><loc>https://scifaro.com/en/abs/taylor-morphisms-2308.11731</loc><lastmod>2026-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/taylor-morphisms-2308.11731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/taylor-morphisms-2308.11731"/></url>
<url><loc>https://scifaro.com/en/abs/fuchs-problem-for-endomorphisms-of-abelian-groups-2308.11815</loc><lastmod>2023-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fuchs-problem-for-endomorphisms-of-abelian-groups-2308.11815"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fuchs-problem-for-endomorphisms-of-abelian-groups-2308.11815"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-oriented-graphs-with-large-girth-2308.11907</loc><lastmod>2023-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-oriented-graphs-with-large-girth-2308.11907"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-oriented-graphs-with-large-girth-2308.11907"/></url>
<url><loc>https://scifaro.com/en/abs/une-approche-combinatoire-pour-le-r-esultant-multivari-e-le-r-esultant-multivari-e-pour-les-enfants-motiv-es-2308.12232</loc><lastmod>2023-08-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/une-approche-combinatoire-pour-le-r-esultant-multivari-e-le-r-esultant-multivari-e-pour-les-enfants-motiv-es-2308.12232"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/une-approche-combinatoire-pour-le-r-esultant-multivari-e-le-r-esultant-multivari-e-pour-les-enfants-motiv-es-2308.12232"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-subrings-up-to-isomorphism-of-fields-2308.12306</loc><lastmod>2023-08-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-subrings-up-to-isomorphism-of-fields-2308.12306"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-subrings-up-to-isomorphism-of-fields-2308.12306"/></url>
<url><loc>https://scifaro.com/en/abs/the-generic-equivalence-among-the-lipschitz-saturation-of-a-sheaf-of-modules-2308.13119</loc><lastmod>2024-04-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-generic-equivalence-among-the-lipschitz-saturation-of-a-sheaf-of-modules-2308.13119"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-generic-equivalence-among-the-lipschitz-saturation-of-a-sheaf-of-modules-2308.13119"/></url>
<url><loc>https://scifaro.com/en/abs/parametrizations-of-subsets-of-the-space-of-valuations-2308.13322</loc><lastmod>2023-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parametrizations-of-subsets-of-the-space-of-valuations-2308.13322"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parametrizations-of-subsets-of-the-space-of-valuations-2308.13322"/></url>
<url><loc>https://scifaro.com/en/abs/indicator-functions-v-numbers-and-gorenstein-rings-in-the-theory-of-projective-reed-muller-type-codes-2308.13728</loc><lastmod>2024-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indicator-functions-v-numbers-and-gorenstein-rings-in-the-theory-of-projective-reed-muller-type-codes-2308.13728"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indicator-functions-v-numbers-and-gorenstein-rings-in-the-theory-of-projective-reed-muller-type-codes-2308.13728"/></url>
<url><loc>https://scifaro.com/en/abs/an-upper-bound-on-stability-of-powers-of-matroidal-ideals-2308.14019</loc><lastmod>2023-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-on-stability-of-powers-of-matroidal-ideals-2308.14019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-on-stability-of-powers-of-matroidal-ideals-2308.14019"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-hilbert-function-of-a-finitely-generated-graded-module-2308.14031</loc><lastmod>2024-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-hilbert-function-of-a-finitely-generated-graded-module-2308.14031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-hilbert-function-of-a-finitely-generated-graded-module-2308.14031"/></url>
<url><loc>https://scifaro.com/en/abs/high-powers-in-endomorphism-rings-over-dedekind-domains-2308.14157</loc><lastmod>2023-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/high-powers-in-endomorphism-rings-over-dedekind-domains-2308.14157"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/high-powers-in-endomorphism-rings-over-dedekind-domains-2308.14157"/></url>
<url><loc>https://scifaro.com/en/abs/product-of-prime-ideals-as-factorization-of-submodules-2308.14285</loc><lastmod>2025-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/product-of-prime-ideals-as-factorization-of-submodules-2308.14285"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/product-of-prime-ideals-as-factorization-of-submodules-2308.14285"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-ufd-2308.14465</loc><lastmod>2023-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-ufd-2308.14465"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-ufd-2308.14465"/></url>
<url><loc>https://scifaro.com/en/abs/lengths-of-factorizations-of-integer-valued-polynomials-on-krull-domains-with-prime-elements-2308.14535</loc><lastmod>2023-08-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lengths-of-factorizations-of-integer-valued-polynomials-on-krull-domains-with-prime-elements-2308.14535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lengths-of-factorizations-of-integer-valued-polynomials-on-krull-domains-with-prime-elements-2308.14535"/></url>
<url><loc>https://scifaro.com/en/abs/universally-injective-and-integral-contractions-on-relative-lipschitz-saturation-of-algebras-2308.14624</loc><lastmod>2024-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universally-injective-and-integral-contractions-on-relative-lipschitz-saturation-of-algebras-2308.14624"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universally-injective-and-integral-contractions-on-relative-lipschitz-saturation-of-algebras-2308.14624"/></url>
<url><loc>https://scifaro.com/en/abs/ring-homomorphisms-and-local-rings-with-quasi-decomposable-maximal-ideal-2308.14842</loc><lastmod>2023-08-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ring-homomorphisms-and-local-rings-with-quasi-decomposable-maximal-ideal-2308.14842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ring-homomorphisms-and-local-rings-with-quasi-decomposable-maximal-ideal-2308.14842"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-loewy-length-of-cohen-macaulay-local-and-graded-rings-2308.14932</loc><lastmod>2026-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-loewy-length-of-cohen-macaulay-local-and-graded-rings-2308.14932"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-loewy-length-of-cohen-macaulay-local-and-graded-rings-2308.14932"/></url>
<url><loc>https://scifaro.com/en/abs/a-general-formula-for-the-index-of-depth-stability-of-edge-ideals-2308.15021</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-general-formula-for-the-index-of-depth-stability-of-edge-ideals-2308.15021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-general-formula-for-the-index-of-depth-stability-of-edge-ideals-2308.15021"/></url>
<url><loc>https://scifaro.com/en/abs/finite-groups-smooth-invariants-and-isolated-quotient-singularities-2308.15593</loc><lastmod>2024-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-groups-smooth-invariants-and-isolated-quotient-singularities-2308.15593"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-groups-smooth-invariants-and-isolated-quotient-singularities-2308.15593"/></url>
<url><loc>https://scifaro.com/en/abs/on-rees-algebras-of-linearly-presented-ideals-and-modules-2308.16010</loc><lastmod>2023-08-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rees-algebras-of-linearly-presented-ideals-and-modules-2308.16010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rees-algebras-of-linearly-presented-ideals-and-modules-2308.16010"/></url>
<url><loc>https://scifaro.com/en/abs/resurgence-number-of-graded-families-of-ideals-2308.16410</loc><lastmod>2023-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resurgence-number-of-graded-families-of-ideals-2308.16410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resurgence-number-of-graded-families-of-ideals-2308.16410"/></url>
<url><loc>https://scifaro.com/en/abs/a-lattice-ordered-monoid-on-multilayer-networks-2308.16630</loc><lastmod>2023-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-lattice-ordered-monoid-on-multilayer-networks-2308.16630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-lattice-ordered-monoid-on-multilayer-networks-2308.16630"/></url>
<url><loc>https://scifaro.com/en/abs/higher-resonance-schemes-and-koszul-modules-of-simplicial-complexes-2309.00609</loc><lastmod>2024-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/higher-resonance-schemes-and-koszul-modules-of-simplicial-complexes-2309.00609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/higher-resonance-schemes-and-koszul-modules-of-simplicial-complexes-2309.00609"/></url>
<url><loc>https://scifaro.com/en/abs/structures-of-the-length-seven-power-sum-decompositions-of-ternary-quartics-2309.01414</loc><lastmod>2023-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/structures-of-the-length-seven-power-sum-decompositions-of-ternary-quartics-2309.01414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/structures-of-the-length-seven-power-sum-decompositions-of-ternary-quartics-2309.01414"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-as-generalized-prime-ideal-factorization-of-submodules-2309.01573</loc><lastmod>2025-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-as-generalized-prime-ideal-factorization-of-submodules-2309.01573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-as-generalized-prime-ideal-factorization-of-submodules-2309.01573"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-with-componentwise-linear-powers-2309.01677</loc><lastmod>2025-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-with-componentwise-linear-powers-2309.01677"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-with-componentwise-linear-powers-2309.01677"/></url>
<url><loc>https://scifaro.com/en/abs/derived-complete-complexes-at-weakly-proregular-ideals-2309.01687</loc><lastmod>2024-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-complete-complexes-at-weakly-proregular-ideals-2309.01687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-complete-complexes-at-weakly-proregular-ideals-2309.01687"/></url>
<url><loc>https://scifaro.com/en/abs/ascent-and-descent-of-gorenstein-homological-properties-2309.02372</loc><lastmod>2025-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ascent-and-descent-of-gorenstein-homological-properties-2309.02372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ascent-and-descent-of-gorenstein-homological-properties-2309.02372"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-weighted-chordal-graphs-2309.02414</loc><lastmod>2023-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-chordal-graphs-2309.02414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-weighted-chordal-graphs-2309.02414"/></url>
<url><loc>https://scifaro.com/en/abs/the-scarf-complex-and-betti-numbers-of-powers-of-extremal-ideals-2309.02644</loc><lastmod>2023-09-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-scarf-complex-and-betti-numbers-of-powers-of-extremal-ideals-2309.02644"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-scarf-complex-and-betti-numbers-of-powers-of-extremal-ideals-2309.02644"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-idempotents-in-a-graded-ring-2309.02880</loc><lastmod>2025-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-idempotents-in-a-graded-ring-2309.02880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneity-of-zero-divisors-units-and-idempotents-in-a-graded-ring-2309.02880"/></url>
<url><loc>https://scifaro.com/en/abs/on-generalized-fraction-and-power-series-properties-of-mathcal-s-noetherian-rings-2309.04936</loc><lastmod>2023-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-generalized-fraction-and-power-series-properties-of-mathcal-s-noetherian-rings-2309.04936"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-generalized-fraction-and-power-series-properties-of-mathcal-s-noetherian-rings-2309.04936"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cohen-macaulay-trees-2309.05011</loc><lastmod>2023-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cohen-macaulay-trees-2309.05011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-powers-of-edge-ideals-of-cohen-macaulay-trees-2309.05011"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-edge-weighted-graphs-of-girth-5-or-greater-2309.05056</loc><lastmod>2023-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-edge-weighted-graphs-of-girth-5-or-greater-2309.05056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-edge-weighted-graphs-of-girth-5-or-greater-2309.05056"/></url>
<url><loc>https://scifaro.com/en/abs/diagonal-tensor-algebra-and-naive-liftings-2309.05293</loc><lastmod>2023-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/diagonal-tensor-algebra-and-naive-liftings-2309.05293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/diagonal-tensor-algebra-and-naive-liftings-2309.05293"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-preaisles-of-derived-categories-of-complete-intersections-2309.06074</loc><lastmod>2023-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-preaisles-of-derived-categories-of-complete-intersections-2309.06074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-preaisles-of-derived-categories-of-complete-intersections-2309.06074"/></url>
<url><loc>https://scifaro.com/en/abs/deformations-of-local-artin-rings-via-hilbert-burch-matrices-2309.06871</loc><lastmod>2023-09-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformations-of-local-artin-rings-via-hilbert-burch-matrices-2309.06871"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformations-of-local-artin-rings-via-hilbert-burch-matrices-2309.06871"/></url>
<url><loc>https://scifaro.com/en/abs/initially-regular-sequences-on-cycles-and-depth-of-unicyclic-graphs-2309.07286</loc><lastmod>2023-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initially-regular-sequences-on-cycles-and-depth-of-unicyclic-graphs-2309.07286"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initially-regular-sequences-on-cycles-and-depth-of-unicyclic-graphs-2309.07286"/></url>
<url><loc>https://scifaro.com/en/abs/test-ideal-restricted-to-principal-ideals-and-connections-to-trace-ideals-2309.07331</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-ideal-restricted-to-principal-ideals-and-connections-to-trace-ideals-2309.07331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-ideal-restricted-to-principal-ideals-and-connections-to-trace-ideals-2309.07331"/></url>
<url><loc>https://scifaro.com/en/abs/the-edge-rings-of-compact-graphs-2309.07587</loc><lastmod>2024-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-edge-rings-of-compact-graphs-2309.07587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-edge-rings-of-compact-graphs-2309.07587"/></url>
<url><loc>https://scifaro.com/en/abs/acc-for-f-signature-a-likely-counterexample-2309.07901</loc><lastmod>2023-09-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/acc-for-f-signature-a-likely-counterexample-2309.07901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/acc-for-f-signature-a-likely-counterexample-2309.07901"/></url>
<url><loc>https://scifaro.com/en/abs/a-survey-on-relative-lipschitz-saturation-of-algebras-and-its-relation-with-radicial-algebras-2309.07965</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-survey-on-relative-lipschitz-saturation-of-algebras-and-its-relation-with-radicial-algebras-2309.07965"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-survey-on-relative-lipschitz-saturation-of-algebras-and-its-relation-with-radicial-algebras-2309.07965"/></url>
<url><loc>https://scifaro.com/en/abs/the-reduced-divisor-class-group-and-the-torsion-number-2309.08202</loc><lastmod>2023-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-reduced-divisor-class-group-and-the-torsion-number-2309.08202"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-reduced-divisor-class-group-and-the-torsion-number-2309.08202"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-type-of-edge-weighted-r-path-ideals-2309.08819</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-type-of-edge-weighted-r-path-ideals-2309.08819"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-type-of-edge-weighted-r-path-ideals-2309.08819"/></url>
<url><loc>https://scifaro.com/en/abs/simon-conjecture-and-the-text-v-number-of-monomial-ideals-2309.09188</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simon-conjecture-and-the-text-v-number-of-monomial-ideals-2309.09188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simon-conjecture-and-the-text-v-number-of-monomial-ideals-2309.09188"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-generalized-gorenstein-properties-in-semi-standard-graded-rings-2309.09221</loc><lastmod>2023-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-generalized-gorenstein-properties-in-semi-standard-graded-rings-2309.09221"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-generalized-gorenstein-properties-in-semi-standard-graded-rings-2309.09221"/></url>
<url><loc>https://scifaro.com/en/abs/the-dual-of-z-submodules-of-modules-and-some-of-extensions-2309.09259</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dual-of-z-submodules-of-modules-and-some-of-extensions-2309.09259"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dual-of-z-submodules-of-modules-and-some-of-extensions-2309.09259"/></url>
<url><loc>https://scifaro.com/en/abs/homological-shift-ideals-macaulay2-package-2309.09271</loc><lastmod>2023-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-shift-ideals-macaulay2-package-2309.09271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-shift-ideals-macaulay2-package-2309.09271"/></url>
<url><loc>https://scifaro.com/en/abs/the-symmetry-of-finite-group-schemes-watanabe-type-theorem-and-the-a-invariant-of-the-ring-of-invariants-2309.10256</loc><lastmod>2023-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-symmetry-of-finite-group-schemes-watanabe-type-theorem-and-the-a-invariant-of-the-ring-of-invariants-2309.10256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-symmetry-of-finite-group-schemes-watanabe-type-theorem-and-the-a-invariant-of-the-ring-of-invariants-2309.10256"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-unicyclic-graphs-2309.10317</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-unicyclic-graphs-2309.10317"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-edge-ideals-of-some-vertex-weighted-oriented-unicyclic-graphs-2309.10317"/></url>
<url><loc>https://scifaro.com/en/abs/essential-ideal-transforms-2309.10442</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essential-ideal-transforms-2309.10442"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essential-ideal-transforms-2309.10442"/></url>
<url><loc>https://scifaro.com/en/abs/essential-cohomology-modules-2309.10452</loc><lastmod>2023-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/essential-cohomology-modules-2309.10452"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/essential-cohomology-modules-2309.10452"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-functions-of-powers-of-graded-ideals-2309.11631</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-functions-of-powers-of-graded-ideals-2309.11631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-functions-of-powers-of-graded-ideals-2309.11631"/></url>
<url><loc>https://scifaro.com/en/abs/the-furstenberg-property-in-puiseux-monoids-2309.12372</loc><lastmod>2023-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-furstenberg-property-in-puiseux-monoids-2309.12372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-furstenberg-property-in-puiseux-monoids-2309.12372"/></url>
<url><loc>https://scifaro.com/en/abs/on-schemes-evinced-by-generalized-additive-decompositions-and-their-regularity-2309.12961</loc><lastmod>2024-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-schemes-evinced-by-generalized-additive-decompositions-and-their-regularity-2309.12961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-schemes-evinced-by-generalized-additive-decompositions-and-their-regularity-2309.12961"/></url>
<url><loc>https://scifaro.com/en/abs/splittings-for-symbolic-powers-of-edge-ideals-of-complete-graphs-2309.13017</loc><lastmod>2023-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splittings-for-symbolic-powers-of-edge-ideals-of-complete-graphs-2309.13017"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splittings-for-symbolic-powers-of-edge-ideals-of-complete-graphs-2309.13017"/></url>
<url><loc>https://scifaro.com/en/abs/tuples-of-homological-invariants-of-edge-ideals-2309.13034</loc><lastmod>2023-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tuples-of-homological-invariants-of-edge-ideals-2309.13034"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tuples-of-homological-invariants-of-edge-ideals-2309.13034"/></url>
<url><loc>https://scifaro.com/en/abs/neighborly-partitions-hypergraphs-and-gordon-s-identities-2309.13334</loc><lastmod>2023-09-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/neighborly-partitions-hypergraphs-and-gordon-s-identities-2309.13334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/neighborly-partitions-hypergraphs-and-gordon-s-identities-2309.13334"/></url>
<url><loc>https://scifaro.com/en/abs/the-circ-operation-and-operation-of-cohen-macaulay-bipartite-graphs-2309.13568</loc><lastmod>2023-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-circ-operation-and-operation-of-cohen-macaulay-bipartite-graphs-2309.13568"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-circ-operation-and-operation-of-cohen-macaulay-bipartite-graphs-2309.13568"/></url>
<url><loc>https://scifaro.com/en/abs/matching-powers-of-monomial-ideals-and-edge-ideals-of-weighted-oriented-graphs-2309.13771</loc><lastmod>2024-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matching-powers-of-monomial-ideals-and-edge-ideals-of-weighted-oriented-graphs-2309.13771"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matching-powers-of-monomial-ideals-and-edge-ideals-of-weighted-oriented-graphs-2309.13771"/></url>
<url><loc>https://scifaro.com/en/abs/an-increasing-normalized-depth-function-2309.13892</loc><lastmod>2024-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-increasing-normalized-depth-function-2309.13892"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-increasing-normalized-depth-function-2309.13892"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-subadditivity-condition-of-edge-ideal-2309.14990</loc><lastmod>2023-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-subadditivity-condition-of-edge-ideal-2309.14990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-subadditivity-condition-of-edge-ideal-2309.14990"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-reduced-gr-obner-bases-of-blockwise-determinantal-ideals-2309.15035</loc><lastmod>2024-09-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-reduced-gr-obner-bases-of-blockwise-determinantal-ideals-2309.15035"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-reduced-gr-obner-bases-of-blockwise-determinantal-ideals-2309.15035"/></url>
<url><loc>https://scifaro.com/en/abs/fluctuations-in-depth-and-associated-primes-of-powers-of-ideals-2309.15083</loc><lastmod>2026-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fluctuations-in-depth-and-associated-primes-of-powers-of-ideals-2309.15083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fluctuations-in-depth-and-associated-primes-of-powers-of-ideals-2309.15083"/></url>
<url><loc>https://scifaro.com/en/abs/modules-with-commutative-endomorphism-rings-2309.15219</loc><lastmod>2024-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-with-commutative-endomorphism-rings-2309.15219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-with-commutative-endomorphism-rings-2309.15219"/></url>
<url><loc>https://scifaro.com/en/abs/on-positive-matching-decomposition-conjectures-of-hypergraphs-2309.15424</loc><lastmod>2025-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-positive-matching-decomposition-conjectures-of-hypergraphs-2309.15424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-positive-matching-decomposition-conjectures-of-hypergraphs-2309.15424"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-pure-resolutions-and-some-lower-bounds-of-hilbert-coefficients-of-cohen-macaulay-modules-2309.15428</loc><lastmod>2023-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-pure-resolutions-and-some-lower-bounds-of-hilbert-coefficients-of-cohen-macaulay-modules-2309.15428"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-pure-resolutions-and-some-lower-bounds-of-hilbert-coefficients-of-cohen-macaulay-modules-2309.15428"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-dg-algebra-resolutions-2309.15440</loc><lastmod>2023-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-dg-algebra-resolutions-2309.15440"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-dg-algebra-resolutions-2309.15440"/></url>
<url><loc>https://scifaro.com/en/abs/geometric-characterization-of-rings-with-krull-dimension-leq-1-2309.15453</loc><lastmod>2023-09-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometric-characterization-of-rings-with-krull-dimension-leq-1-2309.15453"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometric-characterization-of-rings-with-krull-dimension-leq-1-2309.15453"/></url>
<url><loc>https://scifaro.com/en/abs/grading-of-homogeneous-localization-by-the-grothendieck-group-2309.15620</loc><lastmod>2026-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/grading-of-homogeneous-localization-by-the-grothendieck-group-2309.15620"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/grading-of-homogeneous-localization-by-the-grothendieck-group-2309.15620"/></url>
<url><loc>https://scifaro.com/en/abs/kaplansky-nagata-type-theorems-for-the-half-factorial-domains-2309.16616</loc><lastmod>2023-09-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kaplansky-nagata-type-theorems-for-the-half-factorial-domains-2309.16616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kaplansky-nagata-type-theorems-for-the-half-factorial-domains-2309.16616"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linearity-of-edge-ideals-of-weighted-oriented-graphs-2309.16810</loc><lastmod>2023-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linearity-of-edge-ideals-of-weighted-oriented-graphs-2309.16810"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linearity-of-edge-ideals-of-weighted-oriented-graphs-2309.16810"/></url>
<url><loc>https://scifaro.com/en/abs/small-ideals-in-polynomial-rings-and-applications-2309.16847</loc><lastmod>2023-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/small-ideals-in-polynomial-rings-and-applications-2309.16847"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/small-ideals-in-polynomial-rings-and-applications-2309.16847"/></url>
<url><loc>https://scifaro.com/en/abs/f-threshold-of-determinantal-rings-2309.17376</loc><lastmod>2023-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-threshold-of-determinantal-rings-2309.17376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-threshold-of-determinantal-rings-2309.17376"/></url>
<url><loc>https://scifaro.com/en/abs/a-uniform-identification-of-stable-sheaf-cohomology-2309.17416</loc><lastmod>2026-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-uniform-identification-of-stable-sheaf-cohomology-2309.17416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-uniform-identification-of-stable-sheaf-cohomology-2309.17416"/></url>
<url><loc>https://scifaro.com/en/abs/geometry-of-the-minimum-distance-2310.00102</loc><lastmod>2024-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/geometry-of-the-minimum-distance-2310.00102"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/geometry-of-the-minimum-distance-2310.00102"/></url>
<url><loc>https://scifaro.com/en/abs/completions-of-quasi-excellent-domains-2310.00479</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/completions-of-quasi-excellent-domains-2310.00479"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/completions-of-quasi-excellent-domains-2310.00479"/></url>
<url><loc>https://scifaro.com/en/abs/separating-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-2310.00484</loc><lastmod>2025-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-2310.00484"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-invariants-for-two-dimensional-orthogonal-groups-over-finite-fields-2310.00484"/></url>
<url><loc>https://scifaro.com/en/abs/on-nearly-gorenstein-simplicial-semigroup-algebras-2310.00619</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-nearly-gorenstein-simplicial-semigroup-algebras-2310.00619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-nearly-gorenstein-simplicial-semigroup-algebras-2310.00619"/></url>
<url><loc>https://scifaro.com/en/abs/flat-covers-and-injective-hulls-of-persistence-modules-2310.00733</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flat-covers-and-injective-hulls-of-persistence-modules-2310.00733"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flat-covers-and-injective-hulls-of-persistence-modules-2310.00733"/></url>
<url><loc>https://scifaro.com/en/abs/lichtenbaum-hartshorne-vanishing-theorem-for-generalized-local-cohomology-modules-2310.00743</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lichtenbaum-hartshorne-vanishing-theorem-for-generalized-local-cohomology-modules-2310.00743"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lichtenbaum-hartshorne-vanishing-theorem-for-generalized-local-cohomology-modules-2310.00743"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-genus-4-curves-2310.01158</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-genus-4-curves-2310.01158"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-genus-4-curves-2310.01158"/></url>
<url><loc>https://scifaro.com/en/abs/mixed-multiplicity-and-converse-of-rees-theorem-for-modules-2310.01216</loc><lastmod>2023-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mixed-multiplicity-and-converse-of-rees-theorem-for-modules-2310.01216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mixed-multiplicity-and-converse-of-rees-theorem-for-modules-2310.01216"/></url>
<url><loc>https://scifaro.com/en/abs/the-ideal-of-vanishing-polynomials-and-the-ring-of-polynomial-functions-2310.01553</loc><lastmod>2023-10-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ideal-of-vanishing-polynomials-and-the-ring-of-polynomial-functions-2310.01553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ideal-of-vanishing-polynomials-and-the-ring-of-polynomial-functions-2310.01553"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-natural-nullcones-of-the-symplectic-and-general-linear-groups-2310.01816</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-natural-nullcones-of-the-symplectic-and-general-linear-groups-2310.01816"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-natural-nullcones-of-the-symplectic-and-general-linear-groups-2310.01816"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-numerical-semigroup-algebras-via-ap-ery-specialization-2310.03612</loc><lastmod>2025-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-numerical-semigroup-algebras-via-ap-ery-specialization-2310.03612"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-numerical-semigroup-algebras-via-ap-ery-specialization-2310.03612"/></url>
<url><loc>https://scifaro.com/en/abs/strong-algebras-and-radical-sylvester-gallai-configurations-2310.03993</loc><lastmod>2023-10-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-algebras-and-radical-sylvester-gallai-configurations-2310.03993"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-algebras-and-radical-sylvester-gallai-configurations-2310.03993"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-quadratic-modules-in-pseudo-valuation-domain-2310.04116</loc><lastmod>2025-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-quadratic-modules-in-pseudo-valuation-domain-2310.04116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-quadratic-modules-in-pseudo-valuation-domain-2310.04116"/></url>
<url><loc>https://scifaro.com/en/abs/the-oigroebnerbases-package-for-macaulay2-2310.04891</loc><lastmod>2023-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-oigroebnerbases-package-for-macaulay2-2310.04891"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-oigroebnerbases-package-for-macaulay2-2310.04891"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebraic-invariants-of-the-edge-ideals-of-some-q-fold-bristled-graphs-2310.06152</loc><lastmod>2023-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-the-edge-ideals-of-some-q-fold-bristled-graphs-2310.06152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebraic-invariants-of-the-edge-ideals-of-some-q-fold-bristled-graphs-2310.06152"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-binomial-edge-ideals-of-levi-graphs-associated-with-curve-arrangements-2310.08191</loc><lastmod>2024-03-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-binomial-edge-ideals-of-levi-graphs-associated-with-curve-arrangements-2310.08191"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-binomial-edge-ideals-of-levi-graphs-associated-with-curve-arrangements-2310.08191"/></url>
<url><loc>https://scifaro.com/en/abs/difference-of-hilbert-series-of-homogeneous-monoid-algebras-and-their-normalizations-2310.08357</loc><lastmod>2023-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/difference-of-hilbert-series-of-homogeneous-monoid-algebras-and-their-normalizations-2310.08357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/difference-of-hilbert-series-of-homogeneous-monoid-algebras-and-their-normalizations-2310.08357"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-homomorphisms-and-universal-resolutions-in-local-algebra-2310.08400</loc><lastmod>2025-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-homomorphisms-and-universal-resolutions-in-local-algebra-2310.08400"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-homomorphisms-and-universal-resolutions-in-local-algebra-2310.08400"/></url>
<url><loc>https://scifaro.com/en/abs/almost-mathematics-k-ahler-differentials-and-deeply-ramified-fields-2310.09581</loc><lastmod>2026-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-mathematics-k-ahler-differentials-and-deeply-ramified-fields-2310.09581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-mathematics-k-ahler-differentials-and-deeply-ramified-fields-2310.09581"/></url>
<url><loc>https://scifaro.com/en/abs/seminormal-rings-following-thierry-coquand-2310.09763</loc><lastmod>2026-03-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/seminormal-rings-following-thierry-coquand-2310.09763"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/seminormal-rings-following-thierry-coquand-2310.09763"/></url>
<url><loc>https://scifaro.com/en/abs/optimal-bounds-on-the-growth-of-iterated-sumsets-in-abelian-semigroups-2310.10241</loc><lastmod>2023-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/optimal-bounds-on-the-growth-of-iterated-sumsets-in-abelian-semigroups-2310.10241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/optimal-bounds-on-the-growth-of-iterated-sumsets-in-abelian-semigroups-2310.10241"/></url>
<url><loc>https://scifaro.com/en/abs/h-function-hilbert-kunz-density-function-and-frobenius-poincar-e-function-2310.10270</loc><lastmod>2025-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/h-function-hilbert-kunz-density-function-and-frobenius-poincar-e-function-2310.10270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/h-function-hilbert-kunz-density-function-and-frobenius-poincar-e-function-2310.10270"/></url>
<url><loc>https://scifaro.com/en/abs/finite-homological-dimension-of-hom-vanishing-of-ext-and-applications-to-divisor-class-group-2310.10607</loc><lastmod>2026-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-homological-dimension-of-hom-vanishing-of-ext-and-applications-to-divisor-class-group-2310.10607"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-homological-dimension-of-hom-vanishing-of-ext-and-applications-to-divisor-class-group-2310.10607"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structure-and-spectra-of-an-induced-subgraph-of-essential-ideal-graph-of-mathbb-z-n-2310.10999</loc><lastmod>2023-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structure-and-spectra-of-an-induced-subgraph-of-essential-ideal-graph-of-mathbb-z-n-2310.10999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structure-and-spectra-of-an-induced-subgraph-of-essential-ideal-graph-of-mathbb-z-n-2310.10999"/></url>
<url><loc>https://scifaro.com/en/abs/multi-graded-macaulay-dual-spaces-2310.11587</loc><lastmod>2023-10-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multi-graded-macaulay-dual-spaces-2310.11587"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multi-graded-macaulay-dual-spaces-2310.11587"/></url>
<url><loc>https://scifaro.com/en/abs/determining-the-betti-numbers-of-r-x-p-e-y-p-e-z-p-e-for-most-even-degree-hypersurfaces-in-odd-characteristic-2310.11619</loc><lastmod>2025-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determining-the-betti-numbers-of-r-x-p-e-y-p-e-z-p-e-for-most-even-degree-hypersurfaces-in-odd-characteristic-2310.11619"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determining-the-betti-numbers-of-r-x-p-e-y-p-e-z-p-e-for-most-even-degree-hypersurfaces-in-odd-characteristic-2310.11619"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-homological-invariants-of-localizations-of-modules-2310.11697</loc><lastmod>2023-10-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-homological-invariants-of-localizations-of-modules-2310.11697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-homological-invariants-of-localizations-of-modules-2310.11697"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-defect-of-monomial-ideals-2310.12280</loc><lastmod>2024-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-defect-of-monomial-ideals-2310.12280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-defect-of-monomial-ideals-2310.12280"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-squarefree-monomial-ideals-2310.12339</loc><lastmod>2024-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-squarefree-monomial-ideals-2310.12339"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-squarefree-monomial-ideals-2310.12339"/></url>
<url><loc>https://scifaro.com/en/abs/spectral-closures-of-an-infinite-subset-of-the-prime-spectrum-2310.12621</loc><lastmod>2023-10-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spectral-closures-of-an-infinite-subset-of-the-prime-spectrum-2310.12621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spectral-closures-of-an-infinite-subset-of-the-prime-spectrum-2310.12621"/></url>
<url><loc>https://scifaro.com/en/abs/stabilization-of-associated-prime-ideals-of-monomial-ideals-bounding-the-copersistence-index-2310.13431</loc><lastmod>2024-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stabilization-of-associated-prime-ideals-of-monomial-ideals-bounding-the-copersistence-index-2310.13431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stabilization-of-associated-prime-ideals-of-monomial-ideals-bounding-the-copersistence-index-2310.13431"/></url>
<url><loc>https://scifaro.com/en/abs/endomorphism-algebras-over-commutative-rings-and-torsion-in-self-tensor-products-2310.14134</loc><lastmod>2025-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/endomorphism-algebras-over-commutative-rings-and-torsion-in-self-tensor-products-2310.14134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/endomorphism-algebras-over-commutative-rings-and-torsion-in-self-tensor-products-2310.14134"/></url>
<url><loc>https://scifaro.com/en/abs/a-quasi-additive-property-of-homological-shift-ideals-2310.14247</loc><lastmod>2023-10-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-quasi-additive-property-of-homological-shift-ideals-2310.14247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-quasi-additive-property-of-homological-shift-ideals-2310.14247"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-of-artinian-algebras-associated-to-paths-and-cycles-2310.14368</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-artinian-algebras-associated-to-paths-and-cycles-2310.14368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-of-artinian-algebras-associated-to-paths-and-cycles-2310.14368"/></url>
<url><loc>https://scifaro.com/en/abs/lf-covers-and-binomial-edge-ideals-of-k-o-nig-type-2310.14410</loc><lastmod>2024-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lf-covers-and-binomial-edge-ideals-of-k-o-nig-type-2310.14410"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lf-covers-and-binomial-edge-ideals-of-k-o-nig-type-2310.14410"/></url>
<url><loc>https://scifaro.com/en/abs/characteristic-p-approaches-to-the-jacobian-conjecture-2310.15199</loc><lastmod>2023-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characteristic-p-approaches-to-the-jacobian-conjecture-2310.15199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characteristic-p-approaches-to-the-jacobian-conjecture-2310.15199"/></url>
<url><loc>https://scifaro.com/en/abs/coupled-cluster-degree-of-the-grassmannian-2310.15474</loc><lastmod>2024-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coupled-cluster-degree-of-the-grassmannian-2310.15474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coupled-cluster-degree-of-the-grassmannian-2310.15474"/></url>
<url><loc>https://scifaro.com/en/abs/vanishing-of-dhkk-complexities-for-singularity-categories-and-generation-of-syzygy-modules-2310.15475</loc><lastmod>2025-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vanishing-of-dhkk-complexities-for-singularity-categories-and-generation-of-syzygy-modules-2310.15475"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vanishing-of-dhkk-complexities-for-singularity-categories-and-generation-of-syzygy-modules-2310.15475"/></url>
<url><loc>https://scifaro.com/en/abs/the-strong-lefschetz-property-for-quadratic-reverse-lexicographic-ideals-2310.15611</loc><lastmod>2024-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-quadratic-reverse-lexicographic-ideals-2310.15611"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strong-lefschetz-property-for-quadratic-reverse-lexicographic-ideals-2310.15611"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-ext-modules-over-a-local-unique-factorization-domain-with-an-isolated-singularity-2310.16599</loc><lastmod>2023-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-ext-modules-over-a-local-unique-factorization-domain-with-an-isolated-singularity-2310.16599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-ext-modules-over-a-local-unique-factorization-domain-with-an-isolated-singularity-2310.16599"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-permutation-graphs-2310.17343</loc><lastmod>2024-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-permutation-graphs-2310.17343"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-permutation-graphs-2310.17343"/></url>
<url><loc>https://scifaro.com/en/abs/bockstein-cohomology-of-maximal-cohen-macaulay-modules-over-gorenstein-isolated-singularities-2310.17446</loc><lastmod>2023-10-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bockstein-cohomology-of-maximal-cohen-macaulay-modules-over-gorenstein-isolated-singularities-2310.17446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bockstein-cohomology-of-maximal-cohen-macaulay-modules-over-gorenstein-isolated-singularities-2310.17446"/></url>
<url><loc>https://scifaro.com/en/abs/on-s-n-absorbing-ideals-2310.18032</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-s-n-absorbing-ideals-2310.18032"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-s-n-absorbing-ideals-2310.18032"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ascent-of-atomicity-to-monoid-algebras-2310.18712</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ascent-of-atomicity-to-monoid-algebras-2310.18712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ascent-of-atomicity-to-monoid-algebras-2310.18712"/></url>
<url><loc>https://scifaro.com/en/abs/content-and-q-sequences-in-mixed-characteristic-local-rings-2310.19937</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/content-and-q-sequences-in-mixed-characteristic-local-rings-2310.19937"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/content-and-q-sequences-in-mixed-characteristic-local-rings-2310.19937"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-generalized-binomial-edge-ideals-of-path-graphs-2310.20235</loc><lastmod>2023-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-generalized-binomial-edge-ideals-of-path-graphs-2310.20235"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-generalized-binomial-edge-ideals-of-path-graphs-2310.20235"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-trace-submodules-and-centers-of-endomorphism-rings-2311.00220</loc><lastmod>2023-11-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-trace-submodules-and-centers-of-endomorphism-rings-2311.00220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-trace-submodules-and-centers-of-endomorphism-rings-2311.00220"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-atomized-semilattices-2311.01389</loc><lastmod>2025-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-atomized-semilattices-2311.01389"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-atomized-semilattices-2311.01389"/></url>
<url><loc>https://scifaro.com/en/abs/on-s-noetherian-modules-and-s-strong-mori-modules-2311.01390</loc><lastmod>2024-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-s-noetherian-modules-and-s-strong-mori-modules-2311.01390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-s-noetherian-modules-and-s-strong-mori-modules-2311.01390"/></url>
<url><loc>https://scifaro.com/en/abs/submodules-having-the-same-generalized-prime-ideal-factorization-2311.01706</loc><lastmod>2026-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/submodules-having-the-same-generalized-prime-ideal-factorization-2311.01706"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/submodules-having-the-same-generalized-prime-ideal-factorization-2311.01706"/></url>
<url><loc>https://scifaro.com/en/abs/stable-twisted-cohomology-of-the-mapping-class-groups-in-the-exterior-powers-of-the-unit-tangent-bundle-homology-2311.01791</loc><lastmod>2023-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-twisted-cohomology-of-the-mapping-class-groups-in-the-exterior-powers-of-the-unit-tangent-bundle-homology-2311.01791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-twisted-cohomology-of-the-mapping-class-groups-in-the-exterior-powers-of-the-unit-tangent-bundle-homology-2311.01791"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-associated-graded-rings-of-gorenstein-monomial-curves-2311.01983</loc><lastmod>2024-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-associated-graded-rings-of-gorenstein-monomial-curves-2311.01983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-associated-graded-rings-of-gorenstein-monomial-curves-2311.01983"/></url>
<url><loc>https://scifaro.com/en/abs/fr-oberg-s-theorem-vertex-splittability-and-higher-independence-complexes-2311.02430</loc><lastmod>2025-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fr-oberg-s-theorem-vertex-splittability-and-higher-independence-complexes-2311.02430"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fr-oberg-s-theorem-vertex-splittability-and-higher-independence-complexes-2311.02430"/></url>
<url><loc>https://scifaro.com/en/abs/on-stanley-reisner-rings-with-linear-resolution-2311.02575</loc><lastmod>2023-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stanley-reisner-rings-with-linear-resolution-2311.02575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stanley-reisner-rings-with-linear-resolution-2311.02575"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-criteria-for-gorenstein-homological-dimension-and-some-invariants-of-groups-2311.02768</loc><lastmod>2025-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-criteria-for-gorenstein-homological-dimension-and-some-invariants-of-groups-2311.02768"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-criteria-for-gorenstein-homological-dimension-and-some-invariants-of-groups-2311.02768"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-of-quadratic-algebras-2311.02860</loc><lastmod>2023-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-of-quadratic-algebras-2311.02860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-of-quadratic-algebras-2311.02860"/></url>
<url><loc>https://scifaro.com/en/abs/symplectic-k-theory-and-a-problem-of-murthy-2311.03077</loc><lastmod>2023-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symplectic-k-theory-and-a-problem-of-murthy-2311.03077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symplectic-k-theory-and-a-problem-of-murthy-2311.03077"/></url>
<url><loc>https://scifaro.com/en/abs/comparison-of-symbolic-and-ordinary-powers-of-parity-binomial-edge-ideals-2311.03155</loc><lastmod>2023-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparison-of-symbolic-and-ordinary-powers-of-parity-binomial-edge-ideals-2311.03155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparison-of-symbolic-and-ordinary-powers-of-parity-binomial-edge-ideals-2311.03155"/></url>
<url><loc>https://scifaro.com/en/abs/a-counterexample-to-the-hermite-ring-conjecture-2311.04104</loc><lastmod>2023-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-counterexample-to-the-hermite-ring-conjecture-2311.04104"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-counterexample-to-the-hermite-ring-conjecture-2311.04104"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-mathrm-v-number-of-gorenstein-ideals-and-frobenius-powers-2311.04136</loc><lastmod>2023-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-mathrm-v-number-of-gorenstein-ideals-and-frobenius-powers-2311.04136"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-mathrm-v-number-of-gorenstein-ideals-and-frobenius-powers-2311.04136"/></url>
<url><loc>https://scifaro.com/en/abs/the-local-global-principle-for-the-artinianness-dimensions-2311.04416</loc><lastmod>2023-11-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-local-global-principle-for-the-artinianness-dimensions-2311.04416"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-local-global-principle-for-the-artinianness-dimensions-2311.04416"/></url>
<url><loc>https://scifaro.com/en/abs/on-depth-of-modules-in-an-ideal-2311.04702</loc><lastmod>2025-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-depth-of-modules-in-an-ideal-2311.04702"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-depth-of-modules-in-an-ideal-2311.04702"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-multiplicity-of-idealizations-2311.04719</loc><lastmod>2025-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-multiplicity-of-idealizations-2311.04719"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-multiplicity-of-idealizations-2311.04719"/></url>
<url><loc>https://scifaro.com/en/abs/valuative-dimension-constructive-points-of-view-2311.05218</loc><lastmod>2025-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuative-dimension-constructive-points-of-view-2311.05218"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuative-dimension-constructive-points-of-view-2311.05218"/></url>
<url><loc>https://scifaro.com/en/abs/big-pure-projective-modules-over-commutative-noetherian-rings-comparison-with-the-completion-2311.05338</loc><lastmod>2023-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/big-pure-projective-modules-over-commutative-noetherian-rings-comparison-with-the-completion-2311.05338"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/big-pure-projective-modules-over-commutative-noetherian-rings-comparison-with-the-completion-2311.05338"/></url>
<url><loc>https://scifaro.com/en/abs/standard-monomial-theory-modulo-frobenius-in-characteristic-two-2311.05530</loc><lastmod>2023-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-monomial-theory-modulo-frobenius-in-characteristic-two-2311.05530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-monomial-theory-modulo-frobenius-in-characteristic-two-2311.05530"/></url>
<url><loc>https://scifaro.com/en/abs/the-structure-theorem-for-sets-of-length-for-numerical-semigroups-2311.05786</loc><lastmod>2023-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-structure-theorem-for-sets-of-length-for-numerical-semigroups-2311.05786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-structure-theorem-for-sets-of-length-for-numerical-semigroups-2311.05786"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-of-generic-forms-2311.05805</loc><lastmod>2024-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-of-generic-forms-2311.05805"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-of-generic-forms-2311.05805"/></url>
<url><loc>https://scifaro.com/en/abs/on-p-frobenius-of-affine-semigroups-2311.06050</loc><lastmod>2023-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-p-frobenius-of-affine-semigroups-2311.06050"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-p-frobenius-of-affine-semigroups-2311.06050"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-extensions-of-free-commutative-monoids-2311.06901</loc><lastmod>2023-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-extensions-of-free-commutative-monoids-2311.06901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-extensions-of-free-commutative-monoids-2311.06901"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-of-semisubtractive-semidomains-2311.07060</loc><lastmod>2023-11-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-of-semisubtractive-semidomains-2311.07060"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-of-semisubtractive-semidomains-2311.07060"/></url>
<url><loc>https://scifaro.com/en/abs/the-non-f-rational-locus-of-rees-algebras-2311.07074</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-non-f-rational-locus-of-rees-algebras-2311.07074"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-non-f-rational-locus-of-rees-algebras-2311.07074"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-a-hyperedge-ideal-associated-to-join-of-graphs-2311.07308</loc><lastmod>2025-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-a-hyperedge-ideal-associated-to-join-of-graphs-2311.07308"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-a-hyperedge-ideal-associated-to-join-of-graphs-2311.07308"/></url>
<url><loc>https://scifaro.com/en/abs/spherical-complexes-2311.07727</loc><lastmod>2025-01-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spherical-complexes-2311.07727"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spherical-complexes-2311.07727"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-regularity-of-tableau-ideals-2311.07778</loc><lastmod>2023-11-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-regularity-of-tableau-ideals-2311.07778"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-regularity-of-tableau-ideals-2311.07778"/></url>
<url><loc>https://scifaro.com/en/abs/three-invariants-of-geometrically-vertex-decomposable-ideals-2311.08541</loc><lastmod>2025-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/three-invariants-of-geometrically-vertex-decomposable-ideals-2311.08541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/three-invariants-of-geometrically-vertex-decomposable-ideals-2311.08541"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-u-nil-clean-rings-2311.09331</loc><lastmod>2024-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-u-nil-clean-rings-2311.09331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-u-nil-clean-rings-2311.09331"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-noether-number-of-the-direct-sum-of-several-copies-of-a-cyclic-group-2311.09903</loc><lastmod>2023-11-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-noether-number-of-the-direct-sum-of-several-copies-of-a-cyclic-group-2311.09903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-noether-number-of-the-direct-sum-of-several-copies-of-a-cyclic-group-2311.09903"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-invariant-of-lattice-polytopes-2311.11042</loc><lastmod>2024-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-invariant-of-lattice-polytopes-2311.11042"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-invariant-of-lattice-polytopes-2311.11042"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-powers-of-the-maximal-graded-ideal-2311.11079</loc><lastmod>2024-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-powers-of-the-maximal-graded-ideal-2311.11079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-the-hilbert-depth-of-powers-of-the-maximal-graded-ideal-2311.11079"/></url>
<url><loc>https://scifaro.com/en/abs/on-graded-nr-clean-rings-2311.11115</loc><lastmod>2024-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-graded-nr-clean-rings-2311.11115"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-graded-nr-clean-rings-2311.11115"/></url>
<url><loc>https://scifaro.com/en/abs/on-certain-gluing-of-semigroup-rings-and-indispensable-resolution-of-semigroup-rings-2311.11788</loc><lastmod>2023-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-certain-gluing-of-semigroup-rings-and-indispensable-resolution-of-semigroup-rings-2311.11788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-certain-gluing-of-semigroup-rings-and-indispensable-resolution-of-semigroup-rings-2311.11788"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-normally-torsion-freeness-of-square-free-monomial-ideals-2311.11850</loc><lastmod>2024-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-normally-torsion-freeness-of-square-free-monomial-ideals-2311.11850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-normally-torsion-freeness-of-square-free-monomial-ideals-2311.11850"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-auslander-bridger-yoshino-theory-for-complexes-of-finitely-generated-projective-modules-2311.12173</loc><lastmod>2023-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-auslander-bridger-yoshino-theory-for-complexes-of-finitely-generated-projective-modules-2311.12173"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-auslander-bridger-yoshino-theory-for-complexes-of-finitely-generated-projective-modules-2311.12173"/></url>
<url><loc>https://scifaro.com/en/abs/learning-to-compute-gr-obner-bases-2311.12904</loc><lastmod>2024-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/learning-to-compute-gr-obner-bases-2311.12904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/learning-to-compute-gr-obner-bases-2311.12904"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-varieties-of-numerical-semigroups-2311.13500</loc><lastmod>2023-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-varieties-of-numerical-semigroups-2311.13500"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-varieties-of-numerical-semigroups-2311.13500"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-limit-key-polynomials-2311.13558</loc><lastmod>2023-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-limit-key-polynomials-2311.13558"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-limit-key-polynomials-2311.13558"/></url>
<url><loc>https://scifaro.com/en/abs/h-vectors-of-edge-rings-of-odd-cycle-compositions-2311.13573</loc><lastmod>2023-11-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/h-vectors-of-edge-rings-of-odd-cycle-compositions-2311.13573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/h-vectors-of-edge-rings-of-odd-cycle-compositions-2311.13573"/></url>
<url><loc>https://scifaro.com/en/abs/k-ahler-differentials-pure-extensions-and-minimal-key-polynomials-2311.14322</loc><lastmod>2023-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-ahler-differentials-pure-extensions-and-minimal-key-polynomials-2311.14322"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-ahler-differentials-pure-extensions-and-minimal-key-polynomials-2311.14322"/></url>
<url><loc>https://scifaro.com/en/abs/the-finite-type-of-modules-of-bounded-projective-dimension-and-serre-s-conditions-2311.14346</loc><lastmod>2023-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-finite-type-of-modules-of-bounded-projective-dimension-and-serre-s-conditions-2311.14346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-finite-type-of-modules-of-bounded-projective-dimension-and-serre-s-conditions-2311.14346"/></url>
<url><loc>https://scifaro.com/en/abs/relative-mixed-multiplicities-and-mixed-buchsbaum-rim-multiplicities-2311.15105</loc><lastmod>2024-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relative-mixed-multiplicities-and-mixed-buchsbaum-rim-multiplicities-2311.15105"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relative-mixed-multiplicities-and-mixed-buchsbaum-rim-multiplicities-2311.15105"/></url>
<url><loc>https://scifaro.com/en/abs/normal-rees-algebras-arising-from-vertex-decomposable-simplicial-complexes-2311.15135</loc><lastmod>2023-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-rees-algebras-arising-from-vertex-decomposable-simplicial-complexes-2311.15135"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-rees-algebras-arising-from-vertex-decomposable-simplicial-complexes-2311.15135"/></url>
<url><loc>https://scifaro.com/en/abs/the-isomorphism-problem-for-ideal-class-monoids-of-numerical-semigroups-2311.15265</loc><lastmod>2024-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-isomorphism-problem-for-ideal-class-monoids-of-numerical-semigroups-2311.15265"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-isomorphism-problem-for-ideal-class-monoids-of-numerical-semigroups-2311.15265"/></url>
<url><loc>https://scifaro.com/en/abs/controlling-formal-fibers-of-countably-many-principal-prime-ideals-2311.15797</loc><lastmod>2023-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/controlling-formal-fibers-of-countably-many-principal-prime-ideals-2311.15797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/controlling-formal-fibers-of-countably-many-principal-prime-ideals-2311.15797"/></url>
<url><loc>https://scifaro.com/en/abs/free-groups-of-ideals-2311.16659</loc><lastmod>2023-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-groups-of-ideals-2311.16659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-groups-of-ideals-2311.16659"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-arithmetic-of-ultraproducts-of-commutative-cancellative-monoids-2311.16662</loc><lastmod>2023-11-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-arithmetic-of-ultraproducts-of-commutative-cancellative-monoids-2311.16662"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-arithmetic-of-ultraproducts-of-commutative-cancellative-monoids-2311.16662"/></url>
<url><loc>https://scifaro.com/en/abs/conditions-of-multiplicity-and-applications-for-almost-gorenstein-graded-rings-2311.17387</loc><lastmod>2023-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditions-of-multiplicity-and-applications-for-almost-gorenstein-graded-rings-2311.17387"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditions-of-multiplicity-and-applications-for-almost-gorenstein-graded-rings-2311.17387"/></url>
<url><loc>https://scifaro.com/en/abs/density-functions-for-epsilon-multiplicity-and-families-of-ideals-2311.17679</loc><lastmod>2025-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/density-functions-for-epsilon-multiplicity-and-families-of-ideals-2311.17679"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/density-functions-for-epsilon-multiplicity-and-families-of-ideals-2311.17679"/></url>
<url><loc>https://scifaro.com/en/abs/conditions-for-virtually-cohen-macaulay-simplicial-complexes-2311.17806</loc><lastmod>2024-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/conditions-for-virtually-cohen-macaulay-simplicial-complexes-2311.17806"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/conditions-for-virtually-cohen-macaulay-simplicial-complexes-2311.17806"/></url>
<url><loc>https://scifaro.com/en/abs/formal-lifting-of-dualizing-complexes-and-consequences-2311.18196</loc><lastmod>2025-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/formal-lifting-of-dualizing-complexes-and-consequences-2311.18196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/formal-lifting-of-dualizing-complexes-and-consequences-2311.18196"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-series-and-degrees-of-regularity-of-oil-vinegar-and-mixed-quadratic-systems-2311.18626</loc><lastmod>2023-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-series-and-degrees-of-regularity-of-oil-vinegar-and-mixed-quadratic-systems-2311.18626"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-series-and-degrees-of-regularity-of-oil-vinegar-and-mixed-quadratic-systems-2311.18626"/></url>
<url><loc>https://scifaro.com/en/abs/betti-graphs-and-atomization-of-puiseux-monoids-2312.00240</loc><lastmod>2023-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-graphs-and-atomization-of-puiseux-monoids-2312.00240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-graphs-and-atomization-of-puiseux-monoids-2312.00240"/></url>
<url><loc>https://scifaro.com/en/abs/heitmann-dimension-of-distributive-lattices-and-commutative-rings-2312.00684</loc><lastmod>2025-10-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/heitmann-dimension-of-distributive-lattices-and-commutative-rings-2312.00684"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/heitmann-dimension-of-distributive-lattices-and-commutative-rings-2312.00684"/></url>
<url><loc>https://scifaro.com/en/abs/traces-of-semi-invariants-2312.00983</loc><lastmod>2023-12-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/traces-of-semi-invariants-2312.00983"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/traces-of-semi-invariants-2312.00983"/></url>
<url><loc>https://scifaro.com/en/abs/on-containment-of-trace-ideals-in-ideals-of-finite-homological-dimension-2312.01230</loc><lastmod>2024-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-containment-of-trace-ideals-in-ideals-of-finite-homological-dimension-2312.01230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-containment-of-trace-ideals-in-ideals-of-finite-homological-dimension-2312.01230"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-ideals-of-complements-of-graphs-of-girth-at-least-5-2312.01613</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-complements-of-graphs-of-girth-at-least-5-2312.01613"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-ideals-of-complements-of-graphs-of-girth-at-least-5-2312.01613"/></url>
<url><loc>https://scifaro.com/en/abs/rigidity-and-triangularity-of-an-exponential-map-2312.01750</loc><lastmod>2024-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rigidity-and-triangularity-of-an-exponential-map-2312.01750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rigidity-and-triangularity-of-an-exponential-map-2312.01750"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-equality-of-symbolic-and-ordinary-powers-of-binomial-edge-ideals-2312.02687</loc><lastmod>2023-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equality-of-symbolic-and-ordinary-powers-of-binomial-edge-ideals-2312.02687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equality-of-symbolic-and-ordinary-powers-of-binomial-edge-ideals-2312.02687"/></url>
<url><loc>https://scifaro.com/en/abs/on-class-groups-of-upper-cluster-algebras-2312.03457</loc><lastmod>2025-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-class-groups-of-upper-cluster-algebras-2312.03457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-class-groups-of-upper-cluster-algebras-2312.03457"/></url>
<url><loc>https://scifaro.com/en/abs/matijevic-roberts-type-theorems-rees-rings-and-associated-graded-rings-2312.05477</loc><lastmod>2025-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matijevic-roberts-type-theorems-rees-rings-and-associated-graded-rings-2312.05477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matijevic-roberts-type-theorems-rees-rings-and-associated-graded-rings-2312.05477"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-reiten-conjecture-finite-c-injective-dimension-of-operatorname-hom-and-vanishing-of-operatorname-ext-2312.05914</loc><lastmod>2025-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-finite-c-injective-dimension-of-operatorname-hom-and-vanishing-of-operatorname-ext-2312.05914"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-reiten-conjecture-finite-c-injective-dimension-of-operatorname-hom-and-vanishing-of-operatorname-ext-2312.05914"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolution-of-generalized-repunit-algebras-2312.06013</loc><lastmod>2024-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolution-of-generalized-repunit-algebras-2312.06013"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolution-of-generalized-repunit-algebras-2312.06013"/></url>
<url><loc>https://scifaro.com/en/abs/on-modules-whose-dual-is-of-finite-gorenstein-dimension-2312.06124</loc><lastmod>2025-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-modules-whose-dual-is-of-finite-gorenstein-dimension-2312.06124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-modules-whose-dual-is-of-finite-gorenstein-dimension-2312.06124"/></url>
<url><loc>https://scifaro.com/en/abs/on-local-cohomology-modules-over-ramified-regular-local-rings-2312.06489</loc><lastmod>2024-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-local-cohomology-modules-over-ramified-regular-local-rings-2312.06489"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-local-cohomology-modules-over-ramified-regular-local-rings-2312.06489"/></url>
<url><loc>https://scifaro.com/en/abs/spherical-higher-order-fourier-analysis-over-finite-fields-ii-additive-combinatorics-for-shifted-ideals-2312.06650</loc><lastmod>2024-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/spherical-higher-order-fourier-analysis-over-finite-fields-ii-additive-combinatorics-for-shifted-ideals-2312.06650"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/spherical-higher-order-fourier-analysis-over-finite-fields-ii-additive-combinatorics-for-shifted-ideals-2312.06650"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-and-sally-modules-a-survey-of-vasconcelos-contributions-2312.06846</loc><lastmod>2023-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-and-sally-modules-a-survey-of-vasconcelos-contributions-2312.06846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-and-sally-modules-a-survey-of-vasconcelos-contributions-2312.06846"/></url>
<url><loc>https://scifaro.com/en/abs/depth-formula-for-modules-of-finite-reducing-projective-dimension-2312.06996</loc><lastmod>2023-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-formula-for-modules-of-finite-reducing-projective-dimension-2312.06996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-formula-for-modules-of-finite-reducing-projective-dimension-2312.06996"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-as-directed-colimits-2312.07197</loc><lastmod>2026-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-as-directed-colimits-2312.07197"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-as-directed-colimits-2312.07197"/></url>
<url><loc>https://scifaro.com/en/abs/f-thresholds-of-filtrations-of-ideals-2312.07761</loc><lastmod>2023-12-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-thresholds-of-filtrations-of-ideals-2312.07761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-thresholds-of-filtrations-of-ideals-2312.07761"/></url>
<url><loc>https://scifaro.com/en/abs/betti-splittings-and-multigraded-betti-numbers-of-cover-ideals-of-bipartite-graphs-2312.08575</loc><lastmod>2023-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-splittings-and-multigraded-betti-numbers-of-cover-ideals-of-bipartite-graphs-2312.08575"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-splittings-and-multigraded-betti-numbers-of-cover-ideals-of-bipartite-graphs-2312.08575"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-casas-alvero-conjecture-2312.08742</loc><lastmod>2025-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-casas-alvero-conjecture-2312.08742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-casas-alvero-conjecture-2312.08742"/></url>
<url><loc>https://scifaro.com/en/abs/a-simple-polynomial-for-a-transposition-over-finite-fields-2312.08921</loc><lastmod>2023-12-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-simple-polynomial-for-a-transposition-over-finite-fields-2312.08921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-simple-polynomial-for-a-transposition-over-finite-fields-2312.08921"/></url>
<url><loc>https://scifaro.com/en/abs/an-ext-tor-duality-theorem-cohomological-dimension-and-applications-2312.09725</loc><lastmod>2023-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-ext-tor-duality-theorem-cohomological-dimension-and-applications-2312.09725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-ext-tor-duality-theorem-cohomological-dimension-and-applications-2312.09725"/></url>
<url><loc>https://scifaro.com/en/abs/hyperplane-sections-of-non-standard-graded-rings-2312.10800</loc><lastmod>2026-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hyperplane-sections-of-non-standard-graded-rings-2312.10800"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hyperplane-sections-of-non-standard-graded-rings-2312.10800"/></url>
<url><loc>https://scifaro.com/en/abs/hurwitz-series-rings-satisfying-a-zero-divisor-property-2312.10844</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hurwitz-series-rings-satisfying-a-zero-divisor-property-2312.10844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hurwitz-series-rings-satisfying-a-zero-divisor-property-2312.10844"/></url>
<url><loc>https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-rank-3-over-two-dimensional-regular-local-rings-2312.11077</loc><lastmod>2023-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-rank-3-over-two-dimensional-regular-local-rings-2312.11077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indecomposable-integrally-closed-modules-of-rank-3-over-two-dimensional-regular-local-rings-2312.11077"/></url>
<url><loc>https://scifaro.com/en/abs/frobenius-representation-type-for-invariant-rings-of-finite-groups-2312.11786</loc><lastmod>2024-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/frobenius-representation-type-for-invariant-rings-of-finite-groups-2312.11786"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/frobenius-representation-type-for-invariant-rings-of-finite-groups-2312.11786"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-complete-r-partite-graphs-2312.11807</loc><lastmod>2023-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-complete-r-partite-graphs-2312.11807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-binomial-edge-ideals-of-complete-r-partite-graphs-2312.11807"/></url>
<url><loc>https://scifaro.com/en/abs/how-to-determine-a-curve-singularity-2312.11901</loc><lastmod>2023-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/how-to-determine-a-curve-singularity-2312.11901"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/how-to-determine-a-curve-singularity-2312.11901"/></url>
<url><loc>https://scifaro.com/en/abs/the-resolutions-of-generalized-co-letterplace-ideals-and-their-powers-2312.11904</loc><lastmod>2025-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-resolutions-of-generalized-co-letterplace-ideals-and-their-powers-2312.11904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-resolutions-of-generalized-co-letterplace-ideals-and-their-powers-2312.11904"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-structures-of-a-monoid-of-triangular-vector-permutation-polynomials-its-group-of-units-and-its-induced-group-of-permutations-2312.12099</loc><lastmod>2024-08-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-structures-of-a-monoid-of-triangular-vector-permutation-polynomials-its-group-of-units-and-its-induced-group-of-permutations-2312.12099"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-structures-of-a-monoid-of-triangular-vector-permutation-polynomials-its-group-of-units-and-its-induced-group-of-permutations-2312.12099"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-gelfand-gelfand-meets-geometric-complexity-theory-resolving-the-2-x-2-permanents-of-a-2-x-n-matrix-2312.12247</loc><lastmod>2024-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-gelfand-gelfand-meets-geometric-complexity-theory-resolving-the-2-x-2-permanents-of-a-2-x-n-matrix-2312.12247"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-gelfand-gelfand-meets-geometric-complexity-theory-resolving-the-2-x-2-permanents-of-a-2-x-n-matrix-2312.12247"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-mathbb-g-a-actions-in-positive-characteristic-2312.12555</loc><lastmod>2025-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-mathbb-g-a-actions-in-positive-characteristic-2312.12555"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-mathbb-g-a-actions-in-positive-characteristic-2312.12555"/></url>
<url><loc>https://scifaro.com/en/abs/shellability-of-componentwise-discrete-polymatroids-2312.13006</loc><lastmod>2023-12-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shellability-of-componentwise-discrete-polymatroids-2312.13006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shellability-of-componentwise-discrete-polymatroids-2312.13006"/></url>
<url><loc>https://scifaro.com/en/abs/matching-powers-macaulay2-package-2312.13007</loc><lastmod>2023-12-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matching-powers-macaulay2-package-2312.13007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matching-powers-macaulay2-package-2312.13007"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-verdier-quotient-of-a-derived-category-of-a-local-ring-2312.13544</loc><lastmod>2023-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-verdier-quotient-of-a-derived-category-of-a-local-ring-2312.13544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-verdier-quotient-of-a-derived-category-of-a-local-ring-2312.13544"/></url>
<url><loc>https://scifaro.com/en/abs/p-adic-algorithm-for-bivariate-gr-obner-bases-2312.14116</loc><lastmod>2023-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/p-adic-algorithm-for-bivariate-gr-obner-bases-2312.14116"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/p-adic-algorithm-for-bivariate-gr-obner-bases-2312.14116"/></url>
<url><loc>https://scifaro.com/en/abs/goto-rings-2312.14379</loc><lastmod>2023-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/goto-rings-2312.14379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/goto-rings-2312.14379"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-and-f-injective-singularities-in-equal-characteristic-zero-2312.14508</loc><lastmod>2024-01-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-and-f-injective-singularities-in-equal-characteristic-zero-2312.14508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-and-f-injective-singularities-in-equal-characteristic-zero-2312.14508"/></url>
<url><loc>https://scifaro.com/en/abs/a-graph-theoretic-approach-to-ring-analysis-dominant-metric-dimensions-in-zero-divisor-graphs-2312.16005</loc><lastmod>2023-12-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-graph-theoretic-approach-to-ring-analysis-dominant-metric-dimensions-in-zero-divisor-graphs-2312.16005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-graph-theoretic-approach-to-ring-analysis-dominant-metric-dimensions-in-zero-divisor-graphs-2312.16005"/></url>
<url><loc>https://scifaro.com/en/abs/on-circuit-binomials-of-toric-ideals-of-weighted-oriented-graphs-2312.16841</loc><lastmod>2024-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-circuit-binomials-of-toric-ideals-of-weighted-oriented-graphs-2312.16841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-circuit-binomials-of-toric-ideals-of-weighted-oriented-graphs-2312.16841"/></url>
<url><loc>https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-regular-local-rings-2312.16982</loc><lastmod>2024-12-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-regular-local-rings-2312.16982"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-regular-local-rings-2312.16982"/></url>
<url><loc>https://scifaro.com/en/abs/quiver-semi-invariants-and-sagbi-bases-2312.17224</loc><lastmod>2025-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quiver-semi-invariants-and-sagbi-bases-2312.17224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quiver-semi-invariants-and-sagbi-bases-2312.17224"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-arithmetic-in-local-rings-via-ultraproducts-2312.17391</loc><lastmod>2024-01-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-arithmetic-in-local-rings-via-ultraproducts-2312.17391"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-arithmetic-in-local-rings-via-ultraproducts-2312.17391"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-v-invariant-2401.00022</loc><lastmod>2024-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-v-invariant-2401.00022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-v-invariant-2401.00022"/></url>
<url><loc>https://scifaro.com/en/abs/k-summands-of-syzygies-over-rings-of-positive-burch-index-via-canonical-resolutions-2401.00142</loc><lastmod>2024-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-summands-of-syzygies-over-rings-of-positive-burch-index-via-canonical-resolutions-2401.00142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-summands-of-syzygies-over-rings-of-positive-burch-index-via-canonical-resolutions-2401.00142"/></url>
<url><loc>https://scifaro.com/en/abs/generators-for-extensions-of-valuation-rings-2401.00182</loc><lastmod>2024-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generators-for-extensions-of-valuation-rings-2401.00182"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generators-for-extensions-of-valuation-rings-2401.00182"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-and-their-fitting-ideals-2401.00541</loc><lastmod>2025-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-and-their-fitting-ideals-2401.00541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-and-their-fitting-ideals-2401.00541"/></url>
<url><loc>https://scifaro.com/en/abs/local-dual-spaces-and-primary-decomposition-2401.00597</loc><lastmod>2024-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-dual-spaces-and-primary-decomposition-2401.00597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-dual-spaces-and-primary-decomposition-2401.00597"/></url>
<url><loc>https://scifaro.com/en/abs/on-frobenius-betti-numbers-of-graded-rings-of-finite-cohen-macaulay-type-2401.00783</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-frobenius-betti-numbers-of-graded-rings-of-finite-cohen-macaulay-type-2401.00783"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-frobenius-betti-numbers-of-graded-rings-of-finite-cohen-macaulay-type-2401.00783"/></url>
<url><loc>https://scifaro.com/en/abs/the-perfection-can-be-a-non-coherent-gcd-domain-2401.00803</loc><lastmod>2024-01-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-perfection-can-be-a-non-coherent-gcd-domain-2401.00803"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-perfection-can-be-a-non-coherent-gcd-domain-2401.00803"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-s-primary-decompositions-2401.00922</loc><lastmod>2025-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-s-primary-decompositions-2401.00922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-s-primary-decompositions-2401.00922"/></url>
<url><loc>https://scifaro.com/en/abs/noncatenary-splinters-in-prime-characteristic-2401.00925</loc><lastmod>2024-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noncatenary-splinters-in-prime-characteristic-2401.00925"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noncatenary-splinters-in-prime-characteristic-2401.00925"/></url>
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<url><loc>https://scifaro.com/en/abs/sixteen-dimensional-sedenion-like-associative-algebra-2401.01166</loc><lastmod>2024-01-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sixteen-dimensional-sedenion-like-associative-algebra-2401.01166"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sixteen-dimensional-sedenion-like-associative-algebra-2401.01166"/></url>
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<url><loc>https://scifaro.com/en/abs/fiber-criteria-for-flatness-and-homomorphisms-of-flat-affine-group-schemes-2401.02006</loc><lastmod>2024-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fiber-criteria-for-flatness-and-homomorphisms-of-flat-affine-group-schemes-2401.02006"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fiber-criteria-for-flatness-and-homomorphisms-of-flat-affine-group-schemes-2401.02006"/></url>
<url><loc>https://scifaro.com/en/abs/edge-ideals-of-some-edge-weighted-graphs-2401.02111</loc><lastmod>2024-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/edge-ideals-of-some-edge-weighted-graphs-2401.02111"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/edge-ideals-of-some-edge-weighted-graphs-2401.02111"/></url>
<url><loc>https://scifaro.com/en/abs/locally-dualizable-modules-abound-2401.02350</loc><lastmod>2024-01-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/locally-dualizable-modules-abound-2401.02350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/locally-dualizable-modules-abound-2401.02350"/></url>
<url><loc>https://scifaro.com/en/abs/a-convenient-category-to-study-asymptotic-primes-and-related-questions-2401.02751</loc><lastmod>2024-01-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-convenient-category-to-study-asymptotic-primes-and-related-questions-2401.02751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-convenient-category-to-study-asymptotic-primes-and-related-questions-2401.02751"/></url>
<url><loc>https://scifaro.com/en/abs/separating-symmetric-polynomials-over-finite-fields-2401.03318</loc><lastmod>2025-02-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-symmetric-polynomials-over-finite-fields-2401.03318"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-symmetric-polynomials-over-finite-fields-2401.03318"/></url>
<url><loc>https://scifaro.com/en/abs/two-criteria-for-quasihomogeneity-2401.04254</loc><lastmod>2024-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-criteria-for-quasihomogeneity-2401.04254"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-criteria-for-quasihomogeneity-2401.04254"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-coefficients-of-good-i-filtrations-of-modules-2401.04668</loc><lastmod>2024-01-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-coefficients-of-good-i-filtrations-of-modules-2401.04668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-coefficients-of-good-i-filtrations-of-modules-2401.04668"/></url>
<url><loc>https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-closed-neighborhood-ideal-of-a-graph-2401.04683</loc><lastmod>2025-10-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-closed-neighborhood-ideal-of-a-graph-2401.04683"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/castelnuovo-mumford-regularity-of-the-closed-neighborhood-ideal-of-a-graph-2401.04683"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rees-algebras-of-t-path-ideals-of-cycles-2401.04911</loc><lastmod>2024-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rees-algebras-of-t-path-ideals-of-cycles-2401.04911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rees-algebras-of-t-path-ideals-of-cycles-2401.04911"/></url>
<url><loc>https://scifaro.com/en/abs/compactness-of-the-alexandrov-topology-of-maximal-cohen-macaulay-modules-2401.04987</loc><lastmod>2024-01-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/compactness-of-the-alexandrov-topology-of-maximal-cohen-macaulay-modules-2401.04987"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/compactness-of-the-alexandrov-topology-of-maximal-cohen-macaulay-modules-2401.04987"/></url>
<url><loc>https://scifaro.com/en/abs/connected-components-of-qcqs-schemes-and-projective-spaces-2401.05185</loc><lastmod>2026-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connected-components-of-qcqs-schemes-and-projective-spaces-2401.05185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connected-components-of-qcqs-schemes-and-projective-spaces-2401.05185"/></url>
<url><loc>https://scifaro.com/en/abs/betti-cones-of-stanley-reisner-ideals-2401.05962</loc><lastmod>2024-01-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-cones-of-stanley-reisner-ideals-2401.05962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-cones-of-stanley-reisner-ideals-2401.05962"/></url>
<url><loc>https://scifaro.com/en/abs/computing-flat-injective-presentations-of-multiparameter-persistence-modules-2401.06008</loc><lastmod>2025-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-flat-injective-presentations-of-multiparameter-persistence-modules-2401.06008"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-flat-injective-presentations-of-multiparameter-persistence-modules-2401.06008"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-generalized-binomial-edge-ideals-2401.06573</loc><lastmod>2024-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-generalized-binomial-edge-ideals-2401.06573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-generalized-binomial-edge-ideals-2401.06573"/></url>
<url><loc>https://scifaro.com/en/abs/the-vanishing-of-the-first-tight-hilbert-coefficient-for-buchsbaum-rings-2401.06756</loc><lastmod>2025-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-vanishing-of-the-first-tight-hilbert-coefficient-for-buchsbaum-rings-2401.06756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-vanishing-of-the-first-tight-hilbert-coefficient-for-buchsbaum-rings-2401.06756"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-theory-modulo-p-m-2401.07082</loc><lastmod>2026-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-theory-modulo-p-m-2401.07082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-theory-modulo-p-m-2401.07082"/></url>
<url><loc>https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-rings-with-dualizing-complexes-2401.07987</loc><lastmod>2025-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-rings-with-dualizing-complexes-2401.07987"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gorenstein-injective-filtrations-over-rings-with-dualizing-complexes-2401.07987"/></url>
<url><loc>https://scifaro.com/en/abs/fundamental-theorems-of-calculus-and-zinbiel-algebras-2401.08223</loc><lastmod>2025-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fundamental-theorems-of-calculus-and-zinbiel-algebras-2401.08223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fundamental-theorems-of-calculus-and-zinbiel-algebras-2401.08223"/></url>
<url><loc>https://scifaro.com/en/abs/on-cohen-macaulay-non-prime-collections-of-cells-2401.09152</loc><lastmod>2025-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-cohen-macaulay-non-prime-collections-of-cells-2401.09152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-cohen-macaulay-non-prime-collections-of-cells-2401.09152"/></url>
<url><loc>https://scifaro.com/en/abs/polar-multiplicities-and-integral-dependence-2401.10198</loc><lastmod>2024-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polar-multiplicities-and-integral-dependence-2401.10198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polar-multiplicities-and-integral-dependence-2401.10198"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-for-connected-sums-of-graded-gorenstein-artinian-algebras-2401.10492</loc><lastmod>2024-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-for-connected-sums-of-graded-gorenstein-artinian-algebras-2401.10492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-for-connected-sums-of-graded-gorenstein-artinian-algebras-2401.10492"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalization-of-the-dimension-and-radius-of-a-subcategory-of-modules-and-its-applications-2401.11153</loc><lastmod>2024-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalization-of-the-dimension-and-radius-of-a-subcategory-of-modules-and-its-applications-2401.11153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalization-of-the-dimension-and-radius-of-a-subcategory-of-modules-and-its-applications-2401.11153"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-for-waldschmidt-constants-and-demailly-s-conjecture-for-general-and-very-general-points-2401.11297</loc><lastmod>2025-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-for-waldschmidt-constants-and-demailly-s-conjecture-for-general-and-very-general-points-2401.11297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-for-waldschmidt-constants-and-demailly-s-conjecture-for-general-and-very-general-points-2401.11297"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-minimal-free-resolution-of-the-rees-algebra-of-tri-generated-bivariate-monomial-ideals-2401.11558</loc><lastmod>2024-01-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-minimal-free-resolution-of-the-rees-algebra-of-tri-generated-bivariate-monomial-ideals-2401.11558"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-minimal-free-resolution-of-the-rees-algebra-of-tri-generated-bivariate-monomial-ideals-2401.11558"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-atomicity-of-power-monoids-of-puiseux-monoids-2401.12444</loc><lastmod>2024-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-atomicity-of-power-monoids-of-puiseux-monoids-2401.12444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-atomicity-of-power-monoids-of-puiseux-monoids-2401.12444"/></url>
<url><loc>https://scifaro.com/en/abs/some-inequalities-regarding-the-regularity-of-powers-of-monomial-ideals-2401.12446</loc><lastmod>2024-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-inequalities-regarding-the-regularity-of-powers-of-monomial-ideals-2401.12446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-inequalities-regarding-the-regularity-of-powers-of-monomial-ideals-2401.12446"/></url>
<url><loc>https://scifaro.com/en/abs/absorbing-ideals-a-survey-on-omega-stable-groups-2401.12766</loc><lastmod>2024-01-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/absorbing-ideals-a-survey-on-omega-stable-groups-2401.12766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/absorbing-ideals-a-survey-on-omega-stable-groups-2401.12766"/></url>
<url><loc>https://scifaro.com/en/abs/cellular-structure-of-the-pommaret-seiler-resolution-for-quasi-stable-ideals-2401.13788</loc><lastmod>2024-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cellular-structure-of-the-pommaret-seiler-resolution-for-quasi-stable-ideals-2401.13788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cellular-structure-of-the-pommaret-seiler-resolution-for-quasi-stable-ideals-2401.13788"/></url>
<url><loc>https://scifaro.com/en/abs/lifting-multiplicative-lattices-to-ideal-sytems-2401.14001</loc><lastmod>2024-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lifting-multiplicative-lattices-to-ideal-sytems-2401.14001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lifting-multiplicative-lattices-to-ideal-sytems-2401.14001"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-cohomological-vanishing-theorems-2401.14133</loc><lastmod>2024-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-cohomological-vanishing-theorems-2401.14133"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-cohomological-vanishing-theorems-2401.14133"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-types-of-certain-edge-subrings-of-bipartite-graphs-and-generalized-fuss-catalan-numbers-2401.15446</loc><lastmod>2024-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-types-of-certain-edge-subrings-of-bipartite-graphs-and-generalized-fuss-catalan-numbers-2401.15446"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-types-of-certain-edge-subrings-of-bipartite-graphs-and-generalized-fuss-catalan-numbers-2401.15446"/></url>
<url><loc>https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-ii-2401.15594</loc><lastmod>2024-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-ii-2401.15594"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-and-stanley-depth-of-powers-of-the-path-ideal-of-a-cycle-graph-ii-2401.15594"/></url>
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<url><loc>https://scifaro.com/en/abs/on-the-asymptotic-behaviour-of-the-vasconcelos-invariant-for-graded-modules-2401.16358</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-asymptotic-behaviour-of-the-vasconcelos-invariant-for-graded-modules-2401.16358"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-asymptotic-behaviour-of-the-vasconcelos-invariant-for-graded-modules-2401.16358"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-vasconcelos-invariants-for-products-and-powers-of-graded-ideals-2401.17815</loc><lastmod>2025-04-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-vasconcelos-invariants-for-products-and-powers-of-graded-ideals-2401.17815"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-vasconcelos-invariants-for-products-and-powers-of-graded-ideals-2401.17815"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-subspace-arrangements-2402.02305</loc><lastmod>2024-02-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-subspace-arrangements-2402.02305"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-castelnuovo-mumford-regularity-of-subspace-arrangements-2402.02305"/></url>
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<url><loc>https://scifaro.com/en/abs/bounds-for-the-hilbert-kunz-multiplicity-of-singular-rings-2402.05822</loc><lastmod>2024-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-for-the-hilbert-kunz-multiplicity-of-singular-rings-2402.05822"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-for-the-hilbert-kunz-multiplicity-of-singular-rings-2402.05822"/></url>
<url><loc>https://scifaro.com/en/abs/the-auslander-bound-for-complexes-2402.06130</loc><lastmod>2025-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-auslander-bound-for-complexes-2402.06130"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-auslander-bound-for-complexes-2402.06130"/></url>
<url><loc>https://scifaro.com/en/abs/prismatic-kunz-s-theorem-2402.06207</loc><lastmod>2026-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prismatic-kunz-s-theorem-2402.06207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prismatic-kunz-s-theorem-2402.06207"/></url>
<url><loc>https://scifaro.com/en/abs/characterization-and-examples-of-commutative-isoartinian-rings-2402.06273</loc><lastmod>2024-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characterization-and-examples-of-commutative-isoartinian-rings-2402.06273"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characterization-and-examples-of-commutative-isoartinian-rings-2402.06273"/></url>
<url><loc>https://scifaro.com/en/abs/about-the-cohen-macaulay-defect-and-almost-cohen-macaulay-rings-2402.06566</loc><lastmod>2024-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/about-the-cohen-macaulay-defect-and-almost-cohen-macaulay-rings-2402.06566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/about-the-cohen-macaulay-defect-and-almost-cohen-macaulay-rings-2402.06566"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-gorenstein-dimensions-and-exceptional-complete-intersection-maps-2402.06834</loc><lastmod>2024-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-gorenstein-dimensions-and-exceptional-complete-intersection-maps-2402.06834"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-gorenstein-dimensions-and-exceptional-complete-intersection-maps-2402.06834"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-pairs-2402.06842</loc><lastmod>2024-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-pairs-2402.06842"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-pairs-2402.06842"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-simis-and-weighted-monomial-ideals-2402.08833</loc><lastmod>2025-02-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-simis-and-weighted-monomial-ideals-2402.08833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-simis-and-weighted-monomial-ideals-2402.08833"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-2402.08962</loc><lastmod>2024-02-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-2402.08962"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-2402.08962"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-quotient-of-affine-semigroups-by-a-positive-integer-2402.09159</loc><lastmod>2024-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-quotient-of-affine-semigroups-by-a-positive-integer-2402.09159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-quotient-of-affine-semigroups-by-a-positive-integer-2402.09159"/></url>
<url><loc>https://scifaro.com/en/abs/on-betti-numbers-for-symmetric-powers-of-modules-2402.09309</loc><lastmod>2025-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-betti-numbers-for-symmetric-powers-of-modules-2402.09309"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-betti-numbers-for-symmetric-powers-of-modules-2402.09309"/></url>
<url><loc>https://scifaro.com/en/abs/solving-third-order-linear-difference-equations-in-terms-of-second-order-equations-2402.11121</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/solving-third-order-linear-difference-equations-in-terms-of-second-order-equations-2402.11121"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/solving-third-order-linear-difference-equations-in-terms-of-second-order-equations-2402.11121"/></url>
<url><loc>https://scifaro.com/en/abs/computing-epsilon-multiplicities-in-graded-algebras-2402.11935</loc><lastmod>2024-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-epsilon-multiplicities-in-graded-algebras-2402.11935"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-epsilon-multiplicities-in-graded-algebras-2402.11935"/></url>
<url><loc>https://scifaro.com/en/abs/on-general-fiber-product-rings-poincar-e-series-and-their-structure-2402.12125</loc><lastmod>2024-07-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-general-fiber-product-rings-poincar-e-series-and-their-structure-2402.12125"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-general-fiber-product-rings-poincar-e-series-and-their-structure-2402.12125"/></url>
<url><loc>https://scifaro.com/en/abs/the-multigraded-bgg-correspondence-in-macaulay2-2402.12293</loc><lastmod>2025-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-multigraded-bgg-correspondence-in-macaulay2-2402.12293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-multigraded-bgg-correspondence-in-macaulay2-2402.12293"/></url>
<url><loc>https://scifaro.com/en/abs/rational-powers-invariant-ideals-and-the-summation-formula-2402.12350</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-powers-invariant-ideals-and-the-summation-formula-2402.12350"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-powers-invariant-ideals-and-the-summation-formula-2402.12350"/></url>
<url><loc>https://scifaro.com/en/abs/on-virtual-resolutions-of-points-in-a-product-of-projective-spaces-2402.12495</loc><lastmod>2024-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-virtual-resolutions-of-points-in-a-product-of-projective-spaces-2402.12495"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-virtual-resolutions-of-points-in-a-product-of-projective-spaces-2402.12495"/></url>
<url><loc>https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-over-an-arbitrary-field-2402.13354</loc><lastmod>2024-02-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-over-an-arbitrary-field-2402.13354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-over-an-arbitrary-field-2402.13354"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-of-powers-of-path-ideals-of-a-line-graph-2402.13477</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-of-powers-of-path-ideals-of-a-line-graph-2402.13477"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-of-powers-of-path-ideals-of-a-line-graph-2402.13477"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-suslin-matrices-and-clifford-algebras-2402.15094</loc><lastmod>2026-02-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-suslin-matrices-and-clifford-algebras-2402.15094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-suslin-matrices-and-clifford-algebras-2402.15094"/></url>
<url><loc>https://scifaro.com/en/abs/bass-numbers-of-the-first-nonzero-local-cohomology-module-2402.15667</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bass-numbers-of-the-first-nonzero-local-cohomology-module-2402.15667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bass-numbers-of-the-first-nonzero-local-cohomology-module-2402.15667"/></url>
<url><loc>https://scifaro.com/en/abs/projective-dimension-and-regularity-of-3-path-ideals-of-unicyclic-graphs-2402.16166</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-3-path-ideals-of-unicyclic-graphs-2402.16166"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-dimension-and-regularity-of-3-path-ideals-of-unicyclic-graphs-2402.16166"/></url>
<url><loc>https://scifaro.com/en/abs/products-and-powers-of-principal-symmetric-ideals-2402.16214</loc><lastmod>2024-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/products-and-powers-of-principal-symmetric-ideals-2402.16214"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/products-and-powers-of-principal-symmetric-ideals-2402.16214"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-algebra-generated-by-three-commuting-matrices-combinatorial-cases-2402.16334</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-algebra-generated-by-three-commuting-matrices-combinatorial-cases-2402.16334"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-algebra-generated-by-three-commuting-matrices-combinatorial-cases-2402.16334"/></url>
<url><loc>https://scifaro.com/en/abs/noncatenary-unique-factorization-domains-2402.16549</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/noncatenary-unique-factorization-domains-2402.16549"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/noncatenary-unique-factorization-domains-2402.16549"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-and-stability-index-of-v-numbers-of-graded-ideals-2402.16583</loc><lastmod>2024-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-and-stability-index-of-v-numbers-of-graded-ideals-2402.16583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-and-stability-index-of-v-numbers-of-graded-ideals-2402.16583"/></url>
<url><loc>https://scifaro.com/en/abs/finite-generation-of-split-f-regular-monoid-algebras-2402.16974</loc><lastmod>2025-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-generation-of-split-f-regular-monoid-algebras-2402.16974"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-generation-of-split-f-regular-monoid-algebras-2402.16974"/></url>
<url><loc>https://scifaro.com/en/abs/gluing-and-splitting-of-homogeneous-toric-ideals-2402.17112</loc><lastmod>2024-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gluing-and-splitting-of-homogeneous-toric-ideals-2402.17112"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gluing-and-splitting-of-homogeneous-toric-ideals-2402.17112"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-s-2-condition-of-edge-rings-for-cactus-graphs-2402.17413</loc><lastmod>2025-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-s-2-condition-of-edge-rings-for-cactus-graphs-2402.17413"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-s-2-condition-of-edge-rings-for-cactus-graphs-2402.17413"/></url>
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<url><loc>https://scifaro.com/en/abs/descending-finite-projective-modules-from-a-novikov-ring-2402.17852</loc><lastmod>2026-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/descending-finite-projective-modules-from-a-novikov-ring-2402.17852"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/descending-finite-projective-modules-from-a-novikov-ring-2402.17852"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-classical-varieties-2402.18693</loc><lastmod>2025-08-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-classical-varieties-2402.18693"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-classical-varieties-2402.18693"/></url>
<url><loc>https://scifaro.com/en/abs/square-difference-factor-absorbing-ideals-of-a-commutative-ring-2402.18704</loc><lastmod>2024-03-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/square-difference-factor-absorbing-ideals-of-a-commutative-ring-2402.18704"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/square-difference-factor-absorbing-ideals-of-a-commutative-ring-2402.18704"/></url>
<url><loc>https://scifaro.com/en/abs/quadratic-functions-as-solutions-of-polynomial-equations-2403.00518</loc><lastmod>2024-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quadratic-functions-as-solutions-of-polynomial-equations-2403.00518"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quadratic-functions-as-solutions-of-polynomial-equations-2403.00518"/></url>
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<url><loc>https://scifaro.com/en/abs/the-class-of-gorenstein-injective-modules-is-covering-if-and-only-if-it-is-closed-under-direct-limits-2403.02493</loc><lastmod>2024-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-class-of-gorenstein-injective-modules-is-covering-if-and-only-if-it-is-closed-under-direct-limits-2403.02493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-class-of-gorenstein-injective-modules-is-covering-if-and-only-if-it-is-closed-under-direct-limits-2403.02493"/></url>
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<url><loc>https://scifaro.com/en/abs/powers-of-edge-ideals-of-edge-weighted-trees-2403.03609</loc><lastmod>2024-03-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-edge-ideals-of-edge-weighted-trees-2403.03609"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-edge-ideals-of-edge-weighted-trees-2403.03609"/></url>
<url><loc>https://scifaro.com/en/abs/when-every-s-flat-module-is-flat-projective-2403.04676</loc><lastmod>2024-03-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-every-s-flat-module-is-flat-projective-2403.04676"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-every-s-flat-module-is-flat-projective-2403.04676"/></url>
<url><loc>https://scifaro.com/en/abs/classical-semirings-2403.04903</loc><lastmod>2025-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classical-semirings-2403.04903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classical-semirings-2403.04903"/></url>
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<url><loc>https://scifaro.com/en/abs/elimination-by-substitution-2403.06415</loc><lastmod>2024-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elimination-by-substitution-2403.06415"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elimination-by-substitution-2403.06415"/></url>
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<url><loc>https://scifaro.com/en/abs/a-universal-tale-of-determinants-and-gr-obner-bases-2403.07098</loc><lastmod>2024-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-universal-tale-of-determinants-and-gr-obner-bases-2403.07098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-universal-tale-of-determinants-and-gr-obner-bases-2403.07098"/></url>
<url><loc>https://scifaro.com/en/abs/singular-loci-of-algebras-over-ramified-discrete-valuation-rings-2403.08128</loc><lastmod>2024-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/singular-loci-of-algebras-over-ramified-discrete-valuation-rings-2403.08128"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/singular-loci-of-algebras-over-ramified-discrete-valuation-rings-2403.08128"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behaviour-of-integer-programming-and-the-text-v-function-of-a-graded-filtration-2403.08435</loc><lastmod>2025-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-integer-programming-and-the-text-v-function-of-a-graded-filtration-2403.08435"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behaviour-of-integer-programming-and-the-text-v-function-of-a-graded-filtration-2403.08435"/></url>
<url><loc>https://scifaro.com/en/abs/cyclotomic-factors-and-lrs-degeneracy-2403.08751</loc><lastmod>2026-02-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cyclotomic-factors-and-lrs-degeneracy-2403.08751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cyclotomic-factors-and-lrs-degeneracy-2403.08751"/></url>
<url><loc>https://scifaro.com/en/abs/2-periodic-complexes-over-regular-local-rings-2403.09149</loc><lastmod>2024-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/2-periodic-complexes-over-regular-local-rings-2403.09149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/2-periodic-complexes-over-regular-local-rings-2403.09149"/></url>
<url><loc>https://scifaro.com/en/abs/v-numbers-of-symbolic-power-filtrations-2403.09175</loc><lastmod>2024-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/v-numbers-of-symbolic-power-filtrations-2403.09175"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/v-numbers-of-symbolic-power-filtrations-2403.09175"/></url>
<url><loc>https://scifaro.com/en/abs/s-flat-cotorsion-pair-2403.09242</loc><lastmod>2024-09-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-flat-cotorsion-pair-2403.09242"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-flat-cotorsion-pair-2403.09242"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-gotzmann-threshold-of-monomials-2403.09497</loc><lastmod>2024-03-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gotzmann-threshold-of-monomials-2403.09497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gotzmann-threshold-of-monomials-2403.09497"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-the-degrees-of-vector-fields-2403.09870</loc><lastmod>2024-03-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-the-degrees-of-vector-fields-2403.09870"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-the-degrees-of-vector-fields-2403.09870"/></url>
<url><loc>https://scifaro.com/en/abs/the-mapping-cone-of-an-eisenbud-operator-and-applications-to-exact-zero-divisors-2403.12458</loc><lastmod>2024-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-mapping-cone-of-an-eisenbud-operator-and-applications-to-exact-zero-divisors-2403.12458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-mapping-cone-of-an-eisenbud-operator-and-applications-to-exact-zero-divisors-2403.12458"/></url>
<url><loc>https://scifaro.com/en/abs/automorphisms-of-the-ring-of-invariants-of-the-binary-quintic-representation-of-sl2-2403.12681</loc><lastmod>2024-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/automorphisms-of-the-ring-of-invariants-of-the-binary-quintic-representation-of-sl2-2403.12681"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/automorphisms-of-the-ring-of-invariants-of-the-binary-quintic-representation-of-sl2-2403.12681"/></url>
<url><loc>https://scifaro.com/en/abs/invariant-theory-a-third-lease-of-life-2403.12709</loc><lastmod>2024-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariant-theory-a-third-lease-of-life-2403.12709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariant-theory-a-third-lease-of-life-2403.12709"/></url>
<url><loc>https://scifaro.com/en/abs/f-signature-functions-of-diagonal-hypersurfaces-2403.12863</loc><lastmod>2024-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-signature-functions-of-diagonal-hypersurfaces-2403.12863"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-signature-functions-of-diagonal-hypersurfaces-2403.12863"/></url>
<url><loc>https://scifaro.com/en/abs/sandwich-bernstein-sato-polynomials-and-bernstein-s-inequality-2403.13146</loc><lastmod>2024-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sandwich-bernstein-sato-polynomials-and-bernstein-s-inequality-2403.13146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sandwich-bernstein-sato-polynomials-and-bernstein-s-inequality-2403.13146"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-noether-number-of-abelian-groups-of-rank-two-2403.13200</loc><lastmod>2024-03-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-noether-number-of-abelian-groups-of-rank-two-2403.13200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-noether-number-of-abelian-groups-of-rank-two-2403.13200"/></url>
<url><loc>https://scifaro.com/en/abs/dg-singular-equivalence-and-singular-locus-2403.13637</loc><lastmod>2025-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dg-singular-equivalence-and-singular-locus-2403.13637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dg-singular-equivalence-and-singular-locus-2403.13637"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulayness-of-vertex-splittable-monomial-ideals-2403.14299</loc><lastmod>2024-03-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulayness-of-vertex-splittable-monomial-ideals-2403.14299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulayness-of-vertex-splittable-monomial-ideals-2403.14299"/></url>
<url><loc>https://scifaro.com/en/abs/non-existence-of-ulrich-modules-over-cohen-macaulay-local-rings-2403.15566</loc><lastmod>2025-03-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-existence-of-ulrich-modules-over-cohen-macaulay-local-rings-2403.15566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-existence-of-ulrich-modules-over-cohen-macaulay-local-rings-2403.15566"/></url>
<url><loc>https://scifaro.com/en/abs/almost-complete-intersections-regularity-of-powers-and-rees-algebra-2403.15844</loc><lastmod>2024-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-complete-intersections-regularity-of-powers-and-rees-algebra-2403.15844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-complete-intersections-regularity-of-powers-and-rees-algebra-2403.15844"/></url>
<url><loc>https://scifaro.com/en/abs/unmixedness-of-generalized-veronese-bi-type-ideals-2403.16094</loc><lastmod>2024-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixedness-of-generalized-veronese-bi-type-ideals-2403.16094"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixedness-of-generalized-veronese-bi-type-ideals-2403.16094"/></url>
<url><loc>https://scifaro.com/en/abs/polymatroidal-property-of-generalized-mixed-product-ideals-2403.16098</loc><lastmod>2024-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polymatroidal-property-of-generalized-mixed-product-ideals-2403.16098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polymatroidal-property-of-generalized-mixed-product-ideals-2403.16098"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorics-of-the-integral-closure-of-edge-ideals-of-strong-quasi-n-partite-graphs-2403.16109</loc><lastmod>2024-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorics-of-the-integral-closure-of-edge-ideals-of-strong-quasi-n-partite-graphs-2403.16109"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorics-of-the-integral-closure-of-edge-ideals-of-strong-quasi-n-partite-graphs-2403.16109"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-properties-of-strong-quasi-n-partite-graphs-2403.16114</loc><lastmod>2024-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-properties-of-strong-quasi-n-partite-graphs-2403.16114"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-properties-of-strong-quasi-n-partite-graphs-2403.16114"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-cellular-resolutions-of-path-ideals-2403.16324</loc><lastmod>2025-03-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-path-ideals-2403.16324"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-path-ideals-2403.16324"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-2403.17078</loc><lastmod>2025-01-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-2403.17078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-2403.17078"/></url>
<url><loc>https://scifaro.com/en/abs/relations-between-poincar-e-series-for-quasi-complete-intersection-homomorphisms-2403.17079</loc><lastmod>2024-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relations-between-poincar-e-series-for-quasi-complete-intersection-homomorphisms-2403.17079"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relations-between-poincar-e-series-for-quasi-complete-intersection-homomorphisms-2403.17079"/></url>
<url><loc>https://scifaro.com/en/abs/reconstruction-of-hypersurfaces-from-their-invariants-2403.17490</loc><lastmod>2025-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/reconstruction-of-hypersurfaces-from-their-invariants-2403.17490"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/reconstruction-of-hypersurfaces-from-their-invariants-2403.17490"/></url>
<url><loc>https://scifaro.com/en/abs/a-family-of-monomial-gr-obner-degenerations-of-determinantal-ideals-with-minimal-cellular-resolutions-2403.17736</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-family-of-monomial-gr-obner-degenerations-of-determinantal-ideals-with-minimal-cellular-resolutions-2403.17736"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-family-of-monomial-gr-obner-degenerations-of-determinantal-ideals-with-minimal-cellular-resolutions-2403.17736"/></url>
<url><loc>https://scifaro.com/en/abs/forests-whose-matching-powers-are-linear-2403.17797</loc><lastmod>2024-03-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/forests-whose-matching-powers-are-linear-2403.17797"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/forests-whose-matching-powers-are-linear-2403.17797"/></url>
<url><loc>https://scifaro.com/en/abs/ci-sequences-and-almost-complete-intersections-2403.18507</loc><lastmod>2024-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ci-sequences-and-almost-complete-intersections-2403.18507"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ci-sequences-and-almost-complete-intersections-2403.18507"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-representations-of-invariant-subrings-2403.19282</loc><lastmod>2025-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-representations-of-invariant-subrings-2403.19282"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-representations-of-invariant-subrings-2403.19282"/></url>
<url><loc>https://scifaro.com/en/abs/normalizing-asymptotic-differential-equations-2403.19732</loc><lastmod>2026-04-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normalizing-asymptotic-differential-equations-2403.19732"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normalizing-asymptotic-differential-equations-2403.19732"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-pr-ufer-rings-with-zero-divisors-2403.20220</loc><lastmod>2024-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-pr-ufer-rings-with-zero-divisors-2403.20220"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-pr-ufer-rings-with-zero-divisors-2403.20220"/></url>
<url><loc>https://scifaro.com/en/abs/on-bi-amalgamated-constructions-2403.20224</loc><lastmod>2024-04-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-bi-amalgamated-constructions-2403.20224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-bi-amalgamated-constructions-2403.20224"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-mixed-product-ideals-whose-powers-have-a-linear-resolution-2404.00080</loc><lastmod>2024-04-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-mixed-product-ideals-whose-powers-have-a-linear-resolution-2404.00080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-mixed-product-ideals-whose-powers-have-a-linear-resolution-2404.00080"/></url>
<url><loc>https://scifaro.com/en/abs/the-slope-of-v-function-and-waldschmidt-constant-2404.00493</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-slope-of-v-function-and-waldschmidt-constant-2404.00493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-slope-of-v-function-and-waldschmidt-constant-2404.00493"/></url>
<url><loc>https://scifaro.com/en/abs/resolution-and-betti-numbers-of-vertex-cover-ideals-2404.01001</loc><lastmod>2024-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolution-and-betti-numbers-of-vertex-cover-ideals-2404.01001"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolution-and-betti-numbers-of-vertex-cover-ideals-2404.01001"/></url>
<url><loc>https://scifaro.com/en/abs/non-finitely-generated-monoids-corresponding-to-finitely-generated-homogeneous-subalgebras-2404.01590</loc><lastmod>2024-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-finitely-generated-monoids-corresponding-to-finitely-generated-homogeneous-subalgebras-2404.01590"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-finitely-generated-monoids-corresponding-to-finitely-generated-homogeneous-subalgebras-2404.01590"/></url>
<url><loc>https://scifaro.com/en/abs/division-properties-of-commuting-polynomials-2404.01605</loc><lastmod>2026-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/division-properties-of-commuting-polynomials-2404.01605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/division-properties-of-commuting-polynomials-2404.01605"/></url>
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<url><loc>https://scifaro.com/en/abs/homology-of-conductor-2404.02005</loc><lastmod>2024-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homology-of-conductor-2404.02005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homology-of-conductor-2404.02005"/></url>
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<url><loc>https://scifaro.com/en/abs/multivariate-bernstein-type-polynomials-of-finitely-generated-d-modules-2404.02069</loc><lastmod>2024-04-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multivariate-bernstein-type-polynomials-of-finitely-generated-d-modules-2404.02069"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multivariate-bernstein-type-polynomials-of-finitely-generated-d-modules-2404.02069"/></url>
<url><loc>https://scifaro.com/en/abs/the-edge-code-of-hypergraphs-2404.02301</loc><lastmod>2024-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-edge-code-of-hypergraphs-2404.02301"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-edge-code-of-hypergraphs-2404.02301"/></url>
<url><loc>https://scifaro.com/en/abs/perspicacious-l-p-norm-parameters-2404.02310</loc><lastmod>2024-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perspicacious-l-p-norm-parameters-2404.02310"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perspicacious-l-p-norm-parameters-2404.02310"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-and-segre-products-2404.03469</loc><lastmod>2025-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-and-segre-products-2404.03469"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-and-segre-products-2404.03469"/></url>
<url><loc>https://scifaro.com/en/abs/the-solving-degrees-for-computing-gr-o-bner-bases-of-affine-semi-regular-polynomial-sequences-2404.03530</loc><lastmod>2024-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-solving-degrees-for-computing-gr-o-bner-bases-of-affine-semi-regular-polynomial-sequences-2404.03530"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-solving-degrees-for-computing-gr-o-bner-bases-of-affine-semi-regular-polynomial-sequences-2404.03530"/></url>
<url><loc>https://scifaro.com/en/abs/trimming-five-generated-gorenstein-ideals-2404.03601</loc><lastmod>2024-04-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/trimming-five-generated-gorenstein-ideals-2404.03601"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/trimming-five-generated-gorenstein-ideals-2404.03601"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-omega-free-hardy-fields-2404.03695</loc><lastmod>2026-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-omega-free-hardy-fields-2404.03695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-omega-free-hardy-fields-2404.03695"/></url>
<url><loc>https://scifaro.com/en/abs/the-galois-group-of-a-special-group-2404.03785</loc><lastmod>2024-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-galois-group-of-a-special-group-2404.03785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-galois-group-of-a-special-group-2404.03785"/></url>
<url><loc>https://scifaro.com/en/abs/integral-closure-and-local-cohomology-2404.03841</loc><lastmod>2024-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-and-local-cohomology-2404.03841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-and-local-cohomology-2404.03841"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-graphs-2404.04380</loc><lastmod>2026-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-graphs-2404.04380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-graphs-2404.04380"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-localization-of-generalized-injective-modules-2404.04610</loc><lastmod>2024-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-localization-of-generalized-injective-modules-2404.04610"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-localization-of-generalized-injective-modules-2404.04610"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-ii-2404.04646</loc><lastmod>2024-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-ii-2404.04646"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-ii-2404.04646"/></url>
<url><loc>https://scifaro.com/en/abs/lattice-paths-lefschetz-properties-and-almkvist-s-conjecture-in-two-variables-2404.05098</loc><lastmod>2024-06-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lattice-paths-lefschetz-properties-and-almkvist-s-conjecture-in-two-variables-2404.05098"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lattice-paths-lefschetz-properties-and-almkvist-s-conjecture-in-two-variables-2404.05098"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-i-general-theory-2404.05780</loc><lastmod>2025-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-i-general-theory-2404.05780"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-i-general-theory-2404.05780"/></url>
<url><loc>https://scifaro.com/en/abs/modules-co-reduced-relative-to-another-module-2404.06874</loc><lastmod>2024-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modules-co-reduced-relative-to-another-module-2404.06874"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modules-co-reduced-relative-to-another-module-2404.06874"/></url>
<url><loc>https://scifaro.com/en/abs/betti-cones-over-fibre-products-2404.07297</loc><lastmod>2024-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-cones-over-fibre-products-2404.07297"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-cones-over-fibre-products-2404.07297"/></url>
<url><loc>https://scifaro.com/en/abs/bcm-thresholds-of-hypersurfaces-2404.07438</loc><lastmod>2024-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bcm-thresholds-of-hypersurfaces-2404.07438"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bcm-thresholds-of-hypersurfaces-2404.07438"/></url>
<url><loc>https://scifaro.com/en/abs/a-solution-to-itoh-s-conjecture-for-integral-closure-filtration-2404.07638</loc><lastmod>2024-04-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-solution-to-itoh-s-conjecture-for-integral-closure-filtration-2404.07638"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-solution-to-itoh-s-conjecture-for-integral-closure-filtration-2404.07638"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-property-for-standard-graded-artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2404.08123</loc><lastmod>2024-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-standard-graded-artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2404.08123"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-property-for-standard-graded-artinian-gorenstein-algebras-of-embedding-dimension-four-and-socle-degree-three-2404.08123"/></url>
<url><loc>https://scifaro.com/en/abs/strongly-robustness-of-toric-ideals-of-weighted-oriented-graphs-2404.08294</loc><lastmod>2026-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strongly-robustness-of-toric-ideals-of-weighted-oriented-graphs-2404.08294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strongly-robustness-of-toric-ideals-of-weighted-oriented-graphs-2404.08294"/></url>
<url><loc>https://scifaro.com/en/abs/a-topological-approach-to-key-polynomials-2404.08357</loc><lastmod>2026-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-topological-approach-to-key-polynomials-2404.08357"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-topological-approach-to-key-polynomials-2404.08357"/></url>
<url><loc>https://scifaro.com/en/abs/a-relative-homology-criteria-of-smoothness-2404.08534</loc><lastmod>2025-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-relative-homology-criteria-of-smoothness-2404.08534"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-relative-homology-criteria-of-smoothness-2404.08534"/></url>
<url><loc>https://scifaro.com/en/abs/epsilon-multiplicity-is-a-limit-of-amao-multiplicities-2404.08769</loc><lastmod>2024-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/epsilon-multiplicity-is-a-limit-of-amao-multiplicities-2404.08769"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/epsilon-multiplicity-is-a-limit-of-amao-multiplicities-2404.08769"/></url>
<url><loc>https://scifaro.com/en/abs/some-algebras-with-trivial-rings-of-differential-operators-2404.09184</loc><lastmod>2024-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-algebras-with-trivial-rings-of-differential-operators-2404.09184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-algebras-with-trivial-rings-of-differential-operators-2404.09184"/></url>
<url><loc>https://scifaro.com/en/abs/q-krull-dimension-of-commutative-rings-2404.09429</loc><lastmod>2024-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/q-krull-dimension-of-commutative-rings-2404.09429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/q-krull-dimension-of-commutative-rings-2404.09429"/></url>
<url><loc>https://scifaro.com/en/abs/separating-variables-in-bivariate-polynomial-ideals-the-local-case-2404.10377</loc><lastmod>2025-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/separating-variables-in-bivariate-polynomial-ideals-the-local-case-2404.10377"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/separating-variables-in-bivariate-polynomial-ideals-the-local-case-2404.10377"/></url>
<url><loc>https://scifaro.com/en/abs/primary-decomposition-of-symmetric-ideals-2404.10482</loc><lastmod>2024-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primary-decomposition-of-symmetric-ideals-2404.10482"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primary-decomposition-of-symmetric-ideals-2404.10482"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-preserved-by-linear-changes-of-coordinates-in-positive-characteristic-2404.10544</loc><lastmod>2024-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-preserved-by-linear-changes-of-coordinates-in-positive-characteristic-2404.10544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-preserved-by-linear-changes-of-coordinates-in-positive-characteristic-2404.10544"/></url>
<url><loc>https://scifaro.com/en/abs/module-schemes-in-invariant-theory-2404.10592</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/module-schemes-in-invariant-theory-2404.10592"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/module-schemes-in-invariant-theory-2404.10592"/></url>
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<url><loc>https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-matching-field-ideals-2404.10729</loc><lastmod>2025-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-matching-field-ideals-2404.10729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-cellular-resolutions-of-powers-of-matching-field-ideals-2404.10729"/></url>
<url><loc>https://scifaro.com/en/abs/an-equivariant-bgg-correspondence-and-perfect-complexes-for-extensions-by-mathbb-z-2-times-mathbb-z-2-2404.10735</loc><lastmod>2024-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-equivariant-bgg-correspondence-and-perfect-complexes-for-extensions-by-mathbb-z-2-times-mathbb-z-2-2404.10735"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-equivariant-bgg-correspondence-and-perfect-complexes-for-extensions-by-mathbb-z-2-times-mathbb-z-2-2404.10735"/></url>
<url><loc>https://scifaro.com/en/abs/a-universal-property-of-the-spectrum-of-a-ring-and-the-semiring-of-its-ideals-2404.10937</loc><lastmod>2024-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-universal-property-of-the-spectrum-of-a-ring-and-the-semiring-of-its-ideals-2404.10937"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-universal-property-of-the-spectrum-of-a-ring-and-the-semiring-of-its-ideals-2404.10937"/></url>
<url><loc>https://scifaro.com/en/abs/on-stability-and-denominators-of-f-pure-thresholds-in-families-of-diagonal-hypersurfaces-2404.10968</loc><lastmod>2024-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-stability-and-denominators-of-f-pure-thresholds-in-families-of-diagonal-hypersurfaces-2404.10968"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-stability-and-denominators-of-f-pure-thresholds-in-families-of-diagonal-hypersurfaces-2404.10968"/></url>
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<url><loc>https://scifaro.com/en/abs/lefschetz-properties-of-squarefree-monomial-ideals-via-rees-algebras-2404.12471</loc><lastmod>2024-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-of-squarefree-monomial-ideals-via-rees-algebras-2404.12471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-of-squarefree-monomial-ideals-via-rees-algebras-2404.12471"/></url>
<url><loc>https://scifaro.com/en/abs/families-of-numerical-semigroups-and-a-special-case-of-the-huneke-wiegand-conjecture-2404.12519</loc><lastmod>2024-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/families-of-numerical-semigroups-and-a-special-case-of-the-huneke-wiegand-conjecture-2404.12519"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/families-of-numerical-semigroups-and-a-special-case-of-the-huneke-wiegand-conjecture-2404.12519"/></url>
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<url><loc>https://scifaro.com/en/abs/a-new-iterative-algorithm-for-comprehensive-grobner-systems-2404.13514</loc><lastmod>2024-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-iterative-algorithm-for-comprehensive-grobner-systems-2404.13514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-iterative-algorithm-for-comprehensive-grobner-systems-2404.13514"/></url>
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<url><loc>https://scifaro.com/en/abs/on-the-symbolic-f-splitness-of-binomial-edge-ideals-2404.14640</loc><lastmod>2024-04-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-symbolic-f-splitness-of-binomial-edge-ideals-2404.14640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-symbolic-f-splitness-of-binomial-edge-ideals-2404.14640"/></url>
<url><loc>https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-hypersurface-rings-2404.14938</loc><lastmod>2025-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-hypersurface-rings-2404.14938"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/derived-functors-and-hilbert-polynomials-over-hypersurface-rings-2404.14938"/></url>
<url><loc>https://scifaro.com/en/abs/the-non-lefschetz-locus-of-conics-2404.16238</loc><lastmod>2024-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-non-lefschetz-locus-of-conics-2404.16238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-non-lefschetz-locus-of-conics-2404.16238"/></url>
<url><loc>https://scifaro.com/en/abs/subadditivity-of-shifts-eilenberg-zilber-shuffle-products-and-homology-of-lattices-2404.16643</loc><lastmod>2024-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/subadditivity-of-shifts-eilenberg-zilber-shuffle-products-and-homology-of-lattices-2404.16643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/subadditivity-of-shifts-eilenberg-zilber-shuffle-products-and-homology-of-lattices-2404.16643"/></url>
<url><loc>https://scifaro.com/en/abs/on-matlis-reflexive-modules-2404.16711</loc><lastmod>2025-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-matlis-reflexive-modules-2404.16711"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-matlis-reflexive-modules-2404.16711"/></url>
<url><loc>https://scifaro.com/en/abs/sagbi-and-gr-obner-bases-detection-2404.16796</loc><lastmod>2024-04-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sagbi-and-gr-obner-bases-detection-2404.16796"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sagbi-and-gr-obner-bases-detection-2404.16796"/></url>
<url><loc>https://scifaro.com/en/abs/degree-bounds-for-rational-generators-of-invariant-fields-of-finite-abelian-groups-2404.17256</loc><lastmod>2024-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-bounds-for-rational-generators-of-invariant-fields-of-finite-abelian-groups-2404.17256"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-bounds-for-rational-generators-of-invariant-fields-of-finite-abelian-groups-2404.17256"/></url>
<url><loc>https://scifaro.com/en/abs/on-sets-of-lengths-in-monoids-of-plus-minus-weighted-zero-sum-sequences-2404.17258</loc><lastmod>2024-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-sets-of-lengths-in-monoids-of-plus-minus-weighted-zero-sum-sequences-2404.17258"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-sets-of-lengths-in-monoids-of-plus-minus-weighted-zero-sum-sequences-2404.17258"/></url>
<url><loc>https://scifaro.com/en/abs/on-liftings-of-modules-of-finite-projective-dimension-2404.17572</loc><lastmod>2024-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-liftings-of-modules-of-finite-projective-dimension-2404.17572"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-liftings-of-modules-of-finite-projective-dimension-2404.17572"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-ii-determinant-liftability-2404.17656</loc><lastmod>2025-07-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-ii-determinant-liftability-2404.17656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-ii-determinant-liftability-2404.17656"/></url>
<url><loc>https://scifaro.com/en/abs/characteristic-modules-over-a-local-ring-2404.17680</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/characteristic-modules-over-a-local-ring-2404.17680"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/characteristic-modules-over-a-local-ring-2404.17680"/></url>
<url><loc>https://scifaro.com/en/abs/limits-of-length-functions-of-multi-p-families-of-ideals-2404.17712</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/limits-of-length-functions-of-multi-p-families-of-ideals-2404.17712"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/limits-of-length-functions-of-multi-p-families-of-ideals-2404.17712"/></url>
<url><loc>https://scifaro.com/en/abs/comparability-of-the-total-betti-numbers-of-toric-ideals-of-graphs-2404.17836</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparability-of-the-total-betti-numbers-of-toric-ideals-of-graphs-2404.17836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparability-of-the-total-betti-numbers-of-toric-ideals-of-graphs-2404.17836"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-powers-of-path-ideals-of-cycles-2404.17880</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-powers-of-path-ideals-of-cycles-2404.17880"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-powers-of-path-ideals-of-cycles-2404.17880"/></url>
<url><loc>https://scifaro.com/en/abs/slicing-criterion-for-ind-smooth-ring-maps-2404.17988</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/slicing-criterion-for-ind-smooth-ring-maps-2404.17988"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/slicing-criterion-for-ind-smooth-ring-maps-2404.17988"/></url>
<url><loc>https://scifaro.com/en/abs/maximal-ideals-in-commutative-rings-and-the-axiom-of-choice-2404.18351</loc><lastmod>2025-06-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/maximal-ideals-in-commutative-rings-and-the-axiom-of-choice-2404.18351"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/maximal-ideals-in-commutative-rings-and-the-axiom-of-choice-2404.18351"/></url>
<url><loc>https://scifaro.com/en/abs/lower-bounds-on-loewy-lengths-of-modules-of-finite-projective-dimension-2404.18368</loc><lastmod>2025-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lower-bounds-on-loewy-lengths-of-modules-of-finite-projective-dimension-2404.18368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lower-bounds-on-loewy-lengths-of-modules-of-finite-projective-dimension-2404.18368"/></url>
<url><loc>https://scifaro.com/en/abs/categorical-krull-remak-schmidt-for-triangulated-categories-2404.18483</loc><lastmod>2024-04-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/categorical-krull-remak-schmidt-for-triangulated-categories-2404.18483"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/categorical-krull-remak-schmidt-for-triangulated-categories-2404.18483"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-the-gorenstein-property-and-special-cases-of-some-conjectures-2405.00152</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-the-gorenstein-property-and-special-cases-of-some-conjectures-2405.00152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-the-gorenstein-property-and-special-cases-of-some-conjectures-2405.00152"/></url>
<url><loc>https://scifaro.com/en/abs/intersection-theorem-for-dg-modules-2405.00240</loc><lastmod>2024-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/intersection-theorem-for-dg-modules-2405.00240"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/intersection-theorem-for-dg-modules-2405.00240"/></url>
<url><loc>https://scifaro.com/en/abs/a-class-of-numerical-semigroups-defined-by-kunz-and-waldi-2405.00331</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-class-of-numerical-semigroups-defined-by-kunz-and-waldi-2405.00331"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-class-of-numerical-semigroups-defined-by-kunz-and-waldi-2405.00331"/></url>
<url><loc>https://scifaro.com/en/abs/dual-f-signatures-of-veronese-subrings-and-segre-products-of-polynomial-rings-2405.00994</loc><lastmod>2024-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dual-f-signatures-of-veronese-subrings-and-segre-products-of-polynomial-rings-2405.00994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dual-f-signatures-of-veronese-subrings-and-segre-products-of-polynomial-rings-2405.00994"/></url>
<url><loc>https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-iii-hermite-rings-2405.01234</loc><lastmod>2025-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-iii-hermite-rings-2405.01234"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrix-invertible-extensions-over-commutative-rings-part-iii-hermite-rings-2405.01234"/></url>
<url><loc>https://scifaro.com/en/abs/merging-n-hyperideals-and-j-hyperideals-in-one-frame-2405.01294</loc><lastmod>2024-05-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/merging-n-hyperideals-and-j-hyperideals-in-one-frame-2405.01294"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/merging-n-hyperideals-and-j-hyperideals-in-one-frame-2405.01294"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-conjecture-for-modules-whose-self-dual-has-finite-complete-intersection-dimension-2405.01497</loc><lastmod>2026-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-for-modules-whose-self-dual-has-finite-complete-intersection-dimension-2405.01497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-conjecture-for-modules-whose-self-dual-has-finite-complete-intersection-dimension-2405.01497"/></url>
<url><loc>https://scifaro.com/en/abs/infinite-free-resolutions-over-numerical-semigroup-algebras-via-specialization-2405.01700</loc><lastmod>2024-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/infinite-free-resolutions-over-numerical-semigroup-algebras-via-specialization-2405.01700"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/infinite-free-resolutions-over-numerical-semigroup-algebras-via-specialization-2405.01700"/></url>
<url><loc>https://scifaro.com/en/abs/the-dual-f-signature-of-veronese-rings-2405.02542</loc><lastmod>2024-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-dual-f-signature-of-veronese-rings-2405.02542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-dual-f-signature-of-veronese-rings-2405.02542"/></url>
<url><loc>https://scifaro.com/en/abs/on-n-dimensional-sequences-i-2405.04022</loc><lastmod>2024-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-n-dimensional-sequences-i-2405.04022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-n-dimensional-sequences-i-2405.04022"/></url>
<url><loc>https://scifaro.com/en/abs/a-realization-theorem-for-almost-dedekind-domains-2405.04512</loc><lastmod>2024-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-realization-theorem-for-almost-dedekind-domains-2405.04512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-realization-theorem-for-almost-dedekind-domains-2405.04512"/></url>
<url><loc>https://scifaro.com/en/abs/the-ramification-tree-and-almost-dedekind-domains-of-prescribed-sp-rank-2405.04523</loc><lastmod>2024-05-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-ramification-tree-and-almost-dedekind-domains-of-prescribed-sp-rank-2405.04523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-ramification-tree-and-almost-dedekind-domains-of-prescribed-sp-rank-2405.04523"/></url>
<url><loc>https://scifaro.com/en/abs/quillen-s-fundamental-spectral-sequences-revisited-2405.04709</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quillen-s-fundamental-spectral-sequences-revisited-2405.04709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quillen-s-fundamental-spectral-sequences-revisited-2405.04709"/></url>
<url><loc>https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-path-ideals-of-paths-2405.04747</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-path-ideals-of-paths-2405.04747"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-betti-numbers-of-powers-of-path-ideals-of-paths-2405.04747"/></url>
<url><loc>https://scifaro.com/en/abs/a-graph-theoretical-approach-to-ring-analysis-an-exploration-of-dominant-metric-dimension-in-compressed-zero-divisor-graphs-and-its-interplay-with-ring-structures-2405.04934</loc><lastmod>2024-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-graph-theoretical-approach-to-ring-analysis-an-exploration-of-dominant-metric-dimension-in-compressed-zero-divisor-graphs-and-its-interplay-with-ring-structures-2405.04934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-graph-theoretical-approach-to-ring-analysis-an-exploration-of-dominant-metric-dimension-in-compressed-zero-divisor-graphs-and-its-interplay-with-ring-structures-2405.04934"/></url>
<url><loc>https://scifaro.com/en/abs/computing-almost-commuting-bases-of-odos-and-gelfand-dickey-hierarchies-2405.05421</loc><lastmod>2026-01-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-almost-commuting-bases-of-odos-and-gelfand-dickey-hierarchies-2405.05421"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-almost-commuting-bases-of-odos-and-gelfand-dickey-hierarchies-2405.05421"/></url>
<url><loc>https://scifaro.com/en/abs/some-homological-conjectures-over-idealization-rings-2405.06745</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-homological-conjectures-over-idealization-rings-2405.06745"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-homological-conjectures-over-idealization-rings-2405.06745"/></url>
<url><loc>https://scifaro.com/en/abs/induced-matching-ordered-matching-and-castelnuovo-mumford-regularity-of-bipartite-graphs-2405.06781</loc><lastmod>2025-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/induced-matching-ordered-matching-and-castelnuovo-mumford-regularity-of-bipartite-graphs-2405.06781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/induced-matching-ordered-matching-and-castelnuovo-mumford-regularity-of-bipartite-graphs-2405.06781"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-factorial-case-of-huneke-s-conjecture-for-local-cohomology-modules-2405.06862</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-factorial-case-of-huneke-s-conjecture-for-local-cohomology-modules-2405.06862"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-factorial-case-of-huneke-s-conjecture-for-local-cohomology-modules-2405.06862"/></url>
<url><loc>https://scifaro.com/en/abs/multidegrees-families-and-integral-dependence-2405.07000</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multidegrees-families-and-integral-dependence-2405.07000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multidegrees-families-and-integral-dependence-2405.07000"/></url>
<url><loc>https://scifaro.com/en/abs/computing-the-unit-group-of-a-commutative-finite-mathbb-z-algebra-2405.07002</loc><lastmod>2025-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-the-unit-group-of-a-commutative-finite-mathbb-z-algebra-2405.07002"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-the-unit-group-of-a-commutative-finite-mathbb-z-algebra-2405.07002"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-s-coherent-rings-2405.07271</loc><lastmod>2024-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-s-coherent-rings-2405.07271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-s-coherent-rings-2405.07271"/></url>
<url><loc>https://scifaro.com/en/abs/multidegrees-of-binomial-edge-ideals-2405.07365</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multidegrees-of-binomial-edge-ideals-2405.07365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multidegrees-of-binomial-edge-ideals-2405.07365"/></url>
<url><loc>https://scifaro.com/en/abs/homological-stability-for-general-linear-groups-over-dedekind-domains-2405.07566</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-stability-for-general-linear-groups-over-dedekind-domains-2405.07566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-stability-for-general-linear-groups-over-dedekind-domains-2405.07566"/></url>
<url><loc>https://scifaro.com/en/abs/gpu-accelerated-factorization-sets-in-numerical-semigroups-via-parallel-bounded-lexicographic-streams-2405.07989</loc><lastmod>2024-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gpu-accelerated-factorization-sets-in-numerical-semigroups-via-parallel-bounded-lexicographic-streams-2405.07989"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gpu-accelerated-factorization-sets-in-numerical-semigroups-via-parallel-bounded-lexicographic-streams-2405.07989"/></url>
<url><loc>https://scifaro.com/en/abs/faithfully-flat-ring-maps-are-not-descendable-2405.08124</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/faithfully-flat-ring-maps-are-not-descendable-2405.08124"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/faithfully-flat-ring-maps-are-not-descendable-2405.08124"/></url>
<url><loc>https://scifaro.com/en/abs/olivier-an-oil-and-vinegar-based-cryptosystem-2405.08375</loc><lastmod>2024-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/olivier-an-oil-and-vinegar-based-cryptosystem-2405.08375"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/olivier-an-oil-and-vinegar-based-cryptosystem-2405.08375"/></url>
<url><loc>https://scifaro.com/en/abs/hochster-s-type-formulae-2405.08432</loc><lastmod>2024-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hochster-s-type-formulae-2405.08432"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hochster-s-type-formulae-2405.08432"/></url>
<url><loc>https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-2405.08671</loc><lastmod>2025-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-2405.08671"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sequentially-cohen-macaulay-binomial-edge-ideals-2405.08671"/></url>
<url><loc>https://scifaro.com/en/abs/wronskians-form-the-inverse-system-of-the-arcs-of-a-double-point-2405.08964</loc><lastmod>2024-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/wronskians-form-the-inverse-system-of-the-arcs-of-a-double-point-2405.08964"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/wronskians-form-the-inverse-system-of-the-arcs-of-a-double-point-2405.08964"/></url>
<url><loc>https://scifaro.com/en/abs/splittings-of-toric-ideals-of-graphs-2405.09836</loc><lastmod>2025-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/splittings-of-toric-ideals-of-graphs-2405.09836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/splittings-of-toric-ideals-of-graphs-2405.09836"/></url>
<url><loc>https://scifaro.com/en/abs/bounds-on-dao-numbers-and-applications-to-regular-local-rings-2405.10192</loc><lastmod>2025-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounds-on-dao-numbers-and-applications-to-regular-local-rings-2405.10192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounds-on-dao-numbers-and-applications-to-regular-local-rings-2405.10192"/></url>
<url><loc>https://scifaro.com/en/abs/unboundedness-of-irreducible-decompositions-of-numerical-semigroups-2405.11080</loc><lastmod>2024-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unboundedness-of-irreducible-decompositions-of-numerical-semigroups-2405.11080"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unboundedness-of-irreducible-decompositions-of-numerical-semigroups-2405.11080"/></url>
<url><loc>https://scifaro.com/en/abs/projective-closure-of-semigroup-algebras-2405.11319</loc><lastmod>2024-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-closure-of-semigroup-algebras-2405.11319"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-closure-of-semigroup-algebras-2405.11319"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-normal-rees-algebras-of-edge-ideals-of-graphs-2405.11604</loc><lastmod>2024-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-normal-rees-algebras-of-edge-ideals-of-graphs-2405.11604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-normal-rees-algebras-of-edge-ideals-of-graphs-2405.11604"/></url>
<url><loc>https://scifaro.com/en/abs/dimension-filtration-of-the-bounded-derived-category-of-a-noetherian-ring-2405.11991</loc><lastmod>2024-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dimension-filtration-of-the-bounded-derived-category-of-a-noetherian-ring-2405.11991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dimension-filtration-of-the-bounded-derived-category-of-a-noetherian-ring-2405.11991"/></url>
<url><loc>https://scifaro.com/en/abs/deformation-of-residual-intersections-2405.12170</loc><lastmod>2026-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/deformation-of-residual-intersections-2405.12170"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/deformation-of-residual-intersections-2405.12170"/></url>
<url><loc>https://scifaro.com/en/abs/ulrich-ranks-of-veronese-varieties-and-equivariant-instantons-2405.12574</loc><lastmod>2025-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ulrich-ranks-of-veronese-varieties-and-equivariant-instantons-2405.12574"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ulrich-ranks-of-veronese-varieties-and-equivariant-instantons-2405.12574"/></url>
<url><loc>https://scifaro.com/en/abs/homological-algebra-of-pro-lie-polish-abelian-groups-2405.13444</loc><lastmod>2025-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-algebra-of-pro-lie-polish-abelian-groups-2405.13444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-algebra-of-pro-lie-polish-abelian-groups-2405.13444"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-minimal-generating-sets-of-the-eulerian-ideal-2405.13772</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-minimal-generating-sets-of-the-eulerian-ideal-2405.13772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-minimal-generating-sets-of-the-eulerian-ideal-2405.13772"/></url>
<url><loc>https://scifaro.com/en/abs/irreducibility-in-generalized-power-series-2405.13815</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducibility-in-generalized-power-series-2405.13815"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducibility-in-generalized-power-series-2405.13815"/></url>
<url><loc>https://scifaro.com/en/abs/iarrobino-s-symmetric-decomposition-for-self-dual-modules-2405.13829</loc><lastmod>2026-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iarrobino-s-symmetric-decomposition-for-self-dual-modules-2405.13829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iarrobino-s-symmetric-decomposition-for-self-dual-modules-2405.13829"/></url>
<url><loc>https://scifaro.com/en/abs/mutations-of-ordinary-torsion-theories-and-generalized-torsion-theories-connected-by-a-serre-subcategory-2405.14152</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mutations-of-ordinary-torsion-theories-and-generalized-torsion-theories-connected-by-a-serre-subcategory-2405.14152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mutations-of-ordinary-torsion-theories-and-generalized-torsion-theories-connected-by-a-serre-subcategory-2405.14152"/></url>
<url><loc>https://scifaro.com/en/abs/on-ideals-of-affine-semigroups-and-affine-semigroups-with-maximal-embedding-dimension-2405.14648</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-ideals-of-affine-semigroups-and-affine-semigroups-with-maximal-embedding-dimension-2405.14648"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-ideals-of-affine-semigroups-and-affine-semigroups-with-maximal-embedding-dimension-2405.14648"/></url>
<url><loc>https://scifaro.com/en/abs/perazzo-n-folds-and-the-weak-lefschetz-property-2405.14756</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perazzo-n-folds-and-the-weak-lefschetz-property-2405.14756"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perazzo-n-folds-and-the-weak-lefschetz-property-2405.14756"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-conjecture-and-upper-bound-on-the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2405.14833</loc><lastmod>2024-05-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-conjecture-and-upper-bound-on-the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2405.14833"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-conjecture-and-upper-bound-on-the-castelnuovo-mumford-regularity-of-binomial-edge-ideals-2405.14833"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-fiber-product-rings-and-nagata-idealizations-2405.15075</loc><lastmod>2025-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-fiber-product-rings-and-nagata-idealizations-2405.15075"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-fiber-product-rings-and-nagata-idealizations-2405.15075"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-mathrm-v-number-of-binomial-edge-ideals-of-some-classes-of-graphs-2405.15354</loc><lastmod>2024-05-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-mathrm-v-number-of-binomial-edge-ideals-of-some-classes-of-graphs-2405.15354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-mathrm-v-number-of-binomial-edge-ideals-of-some-classes-of-graphs-2405.15354"/></url>
<url><loc>https://scifaro.com/en/abs/proyective-cohen-macaulay-monomial-curves-and-their-affine-charts-2405.15634</loc><lastmod>2025-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/proyective-cohen-macaulay-monomial-curves-and-their-affine-charts-2405.15634"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/proyective-cohen-macaulay-monomial-curves-and-their-affine-charts-2405.15634"/></url>
<url><loc>https://scifaro.com/en/abs/irreducible-integer-valued-polynomials-with-prescribed-minimal-power-that-factors-non-uniquely-2405.16131</loc><lastmod>2025-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/irreducible-integer-valued-polynomials-with-prescribed-minimal-power-that-factors-non-uniquely-2405.16131"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/irreducible-integer-valued-polynomials-with-prescribed-minimal-power-that-factors-non-uniquely-2405.16131"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-and-final-polynomials-2405.16217</loc><lastmod>2024-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-and-final-polynomials-2405.16217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-and-final-polynomials-2405.16217"/></url>
<url><loc>https://scifaro.com/en/abs/invertibility-in-partially-ordered-nonassociative-rings-2405.16565</loc><lastmod>2025-10-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invertibility-in-partially-ordered-nonassociative-rings-2405.16565"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invertibility-in-partially-ordered-nonassociative-rings-2405.16565"/></url>
<url><loc>https://scifaro.com/en/abs/the-text-v-function-of-powers-of-sums-of-ideals-2405.16882</loc><lastmod>2024-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-text-v-function-of-powers-of-sums-of-ideals-2405.16882"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-text-v-function-of-powers-of-sums-of-ideals-2405.16882"/></url>
<url><loc>https://scifaro.com/en/abs/projective-modules-over-rees-like-algebras-and-its-monoid-extensions-2405.17096</loc><lastmod>2025-02-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-modules-over-rees-like-algebras-and-its-monoid-extensions-2405.17096"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-modules-over-rees-like-algebras-and-its-monoid-extensions-2405.17096"/></url>
<url><loc>https://scifaro.com/en/abs/a-duality-between-hilbert-functions-of-lex-ideals-and-quotients-2405.17632</loc><lastmod>2024-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-duality-between-hilbert-functions-of-lex-ideals-and-quotients-2405.17632"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-duality-between-hilbert-functions-of-lex-ideals-and-quotients-2405.17632"/></url>
<url><loc>https://scifaro.com/en/abs/defining-ideals-of-cohen-macaulay-fiber-cones-2405.18041</loc><lastmod>2024-05-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/defining-ideals-of-cohen-macaulay-fiber-cones-2405.18041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/defining-ideals-of-cohen-macaulay-fiber-cones-2405.18041"/></url>
<url><loc>https://scifaro.com/en/abs/some-characterizations-of-gorenstein-rees-algebras-2405.18963</loc><lastmod>2024-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-characterizations-of-gorenstein-rees-algebras-2405.18963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-characterizations-of-gorenstein-rees-algebras-2405.18963"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-completed-tensor-product-of-two-preadic-algebras-over-a-field-2405.19468</loc><lastmod>2024-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-completed-tensor-product-of-two-preadic-algebras-over-a-field-2405.19468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-completed-tensor-product-of-two-preadic-algebras-over-a-field-2405.19468"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-v-numbers-of-graded-co-homology-modules-involving-powers-of-an-ideal-2405.19992</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-v-numbers-of-graded-co-homology-modules-involving-powers-of-an-ideal-2405.19992"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-v-numbers-of-graded-co-homology-modules-involving-powers-of-an-ideal-2405.19992"/></url>
<url><loc>https://scifaro.com/en/abs/towards-a-characterization-of-the-inverse-systems-of-complete-intersections-2405.20049</loc><lastmod>2024-05-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/towards-a-characterization-of-the-inverse-systems-of-complete-intersections-2405.20049"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/towards-a-characterization-of-the-inverse-systems-of-complete-intersections-2405.20049"/></url>
<url><loc>https://scifaro.com/en/abs/normality-factoriality-and-strong-f-regularity-of-lov-asz-saks-schrijver-rings-2405.20480</loc><lastmod>2024-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normality-factoriality-and-strong-f-regularity-of-lov-asz-saks-schrijver-rings-2405.20480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normality-factoriality-and-strong-f-regularity-of-lov-asz-saks-schrijver-rings-2405.20480"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linear-ideals-and-exchange-properties-2405.20645</loc><lastmod>2024-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linear-ideals-and-exchange-properties-2405.20645"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linear-ideals-and-exchange-properties-2405.20645"/></url>
<url><loc>https://scifaro.com/en/abs/on-unmixed-and-equi-dimensional-associated-graded-rings-2405.20647</loc><lastmod>2026-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-unmixed-and-equi-dimensional-associated-graded-rings-2405.20647"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-unmixed-and-equi-dimensional-associated-graded-rings-2405.20647"/></url>
<url><loc>https://scifaro.com/en/abs/homological-associativity-of-differential-graded-algebras-and-gr-obner-bases-2406.00141</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-associativity-of-differential-graded-algebras-and-gr-obner-bases-2406.00141"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-associativity-of-differential-graded-algebras-and-gr-obner-bases-2406.00141"/></url>
<url><loc>https://scifaro.com/en/abs/on-fuchs-problem-for-finitely-generated-abelian-groups-the-small-torsion-case-2406.00381</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-fuchs-problem-for-finitely-generated-abelian-groups-the-small-torsion-case-2406.00381"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-fuchs-problem-for-finitely-generated-abelian-groups-the-small-torsion-case-2406.00381"/></url>
<url><loc>https://scifaro.com/en/abs/zariski-nagata-theorems-for-singularities-and-the-uniform-izumi-rees-property-2406.00759</loc><lastmod>2025-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/zariski-nagata-theorems-for-singularities-and-the-uniform-izumi-rees-property-2406.00759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/zariski-nagata-theorems-for-singularities-and-the-uniform-izumi-rees-property-2406.00759"/></url>
<url><loc>https://scifaro.com/en/abs/stable-coherent-systems-2406.00829</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stable-coherent-systems-2406.00829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stable-coherent-systems-2406.00829"/></url>
<url><loc>https://scifaro.com/en/abs/simple-derivations-in-two-variables-2406.01019</loc><lastmod>2024-06-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simple-derivations-in-two-variables-2406.01019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simple-derivations-in-two-variables-2406.01019"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-alpha-beta-prime-hyperideals-in-commutative-multiplicative-hypeering-2406.01354</loc><lastmod>2024-06-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-alpha-beta-prime-hyperideals-in-commutative-multiplicative-hypeering-2406.01354"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-alpha-beta-prime-hyperideals-in-commutative-multiplicative-hypeering-2406.01354"/></url>
<url><loc>https://scifaro.com/en/abs/some-remarks-on-almost-projective-envelopes-2406.02005</loc><lastmod>2024-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-remarks-on-almost-projective-envelopes-2406.02005"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-remarks-on-almost-projective-envelopes-2406.02005"/></url>
<url><loc>https://scifaro.com/en/abs/on-s-injective-modules-2406.02041</loc><lastmod>2024-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-s-injective-modules-2406.02041"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-s-injective-modules-2406.02041"/></url>
<url><loc>https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-via-weak-functoriality-of-big-cohen-macaulay-algebras-2406.02433</loc><lastmod>2024-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-via-weak-functoriality-of-big-cohen-macaulay-algebras-2406.02433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-brian-c-c-on-skoda-theorem-via-weak-functoriality-of-big-cohen-macaulay-algebras-2406.02433"/></url>
<url><loc>https://scifaro.com/en/abs/atomicity-in-integral-domains-2406.02503</loc><lastmod>2024-06-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/atomicity-in-integral-domains-2406.02503"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/atomicity-in-integral-domains-2406.02503"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-schur-multiplier-of-nilpotent-lie-superalgebra-2406.03573</loc><lastmod>2024-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-schur-multiplier-of-nilpotent-lie-superalgebra-2406.03573"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-schur-multiplier-of-nilpotent-lie-superalgebra-2406.03573"/></url>
<url><loc>https://scifaro.com/en/abs/generalizations-of-burch-ideals-and-ideal-periodicity-2406.03621</loc><lastmod>2024-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalizations-of-burch-ideals-and-ideal-periodicity-2406.03621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalizations-of-burch-ideals-and-ideal-periodicity-2406.03621"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-tate-resolutions-and-decorated-trees-2406.03955</loc><lastmod>2024-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-tate-resolutions-and-decorated-trees-2406.03955"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-tate-resolutions-and-decorated-trees-2406.03955"/></url>
<url><loc>https://scifaro.com/en/abs/resolving-the-module-of-derivations-on-an-n-times-n-1-determinantal-ring-2406.04223</loc><lastmod>2025-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolving-the-module-of-derivations-on-an-n-times-n-1-determinantal-ring-2406.04223"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolving-the-module-of-derivations-on-an-n-times-n-1-determinantal-ring-2406.04223"/></url>
<url><loc>https://scifaro.com/en/abs/matrices-over-polynomial-rings-approached-by-commutative-algebra-2406.04266</loc><lastmod>2024-06-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/matrices-over-polynomial-rings-approached-by-commutative-algebra-2406.04266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/matrices-over-polynomial-rings-approached-by-commutative-algebra-2406.04266"/></url>
<url><loc>https://scifaro.com/en/abs/f-purity-and-the-f-pure-threshold-as-invariants-of-linkage-2406.05323</loc><lastmod>2024-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-purity-and-the-f-pure-threshold-as-invariants-of-linkage-2406.05323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-purity-and-the-f-pure-threshold-as-invariants-of-linkage-2406.05323"/></url>
<url><loc>https://scifaro.com/en/abs/on-some-rings-of-differentiable-type-2406.05390</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-some-rings-of-differentiable-type-2406.05390"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-some-rings-of-differentiable-type-2406.05390"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-expansion-and-the-mathrm-v-number-2406.05567</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-expansion-and-the-mathrm-v-number-2406.05567"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-expansion-and-the-mathrm-v-number-2406.05567"/></url>
<url><loc>https://scifaro.com/en/abs/almost-gorenstein-simplicial-semigroup-rings-2406.05781</loc><lastmod>2024-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-gorenstein-simplicial-semigroup-rings-2406.05781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-gorenstein-simplicial-semigroup-rings-2406.05781"/></url>
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<url><loc>https://scifaro.com/en/abs/a-constructive-proof-of-the-general-nullstellensatz-for-jacobson-rings-2406.06078</loc><lastmod>2026-03-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-constructive-proof-of-the-general-nullstellensatz-for-jacobson-rings-2406.06078"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-constructive-proof-of-the-general-nullstellensatz-for-jacobson-rings-2406.06078"/></url>
<url><loc>https://scifaro.com/en/abs/jordan-degree-type-for-codimension-three-gorenstein-algebras-of-small-sperner-number-2406.06322</loc><lastmod>2025-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jordan-degree-type-for-codimension-three-gorenstein-algebras-of-small-sperner-number-2406.06322"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jordan-degree-type-for-codimension-three-gorenstein-algebras-of-small-sperner-number-2406.06322"/></url>
<url><loc>https://scifaro.com/en/abs/duality-and-the-equations-of-rees-rings-and-tangent-algebras-2406.06766</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/duality-and-the-equations-of-rees-rings-and-tangent-algebras-2406.06766"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/duality-and-the-equations-of-rees-rings-and-tangent-algebras-2406.06766"/></url>
<url><loc>https://scifaro.com/en/abs/strong-gr-obner-bases-and-linear-algebra-in-multivariate-polynomial-rings-over-euclidean-domains-2406.06994</loc><lastmod>2024-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-gr-obner-bases-and-linear-algebra-in-multivariate-polynomial-rings-over-euclidean-domains-2406.06994"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-gr-obner-bases-and-linear-algebra-in-multivariate-polynomial-rings-over-euclidean-domains-2406.06994"/></url>
<url><loc>https://scifaro.com/en/abs/the-canonical-trace-of-cohen-macaulay-algebras-of-codimension-2-2406.07517</loc><lastmod>2024-06-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-canonical-trace-of-cohen-macaulay-algebras-of-codimension-2-2406.07517"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-canonical-trace-of-cohen-macaulay-algebras-of-codimension-2-2406.07517"/></url>
<url><loc>https://scifaro.com/en/abs/interpolation-in-weighted-projective-spaces-2406.08602</loc><lastmod>2024-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/interpolation-in-weighted-projective-spaces-2406.08602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/interpolation-in-weighted-projective-spaces-2406.08602"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-certain-ideals-generated-by-powers-of-linear-forms-2406.09571</loc><lastmod>2024-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-certain-ideals-generated-by-powers-of-linear-forms-2406.09571"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-certain-ideals-generated-by-powers-of-linear-forms-2406.09571"/></url>
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<url><loc>https://scifaro.com/en/abs/chow-groups-a-structure-theorem-riemann-roch-without-denominators-and-artin-approximation-2406.09724</loc><lastmod>2024-06-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/chow-groups-a-structure-theorem-riemann-roch-without-denominators-and-artin-approximation-2406.09724"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/chow-groups-a-structure-theorem-riemann-roch-without-denominators-and-artin-approximation-2406.09724"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-of-cuts-in-ordered-abelian-groups-and-of-ideals-over-valuation-rings-2406.10545</loc><lastmod>2025-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-of-cuts-in-ordered-abelian-groups-and-of-ideals-over-valuation-rings-2406.10545"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-of-cuts-in-ordered-abelian-groups-and-of-ideals-over-valuation-rings-2406.10545"/></url>
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<url><loc>https://scifaro.com/en/abs/connectedness-and-integrally-closed-local-overrings-of-two-dimensional-regular-local-rings-2406.10966</loc><lastmod>2024-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/connectedness-and-integrally-closed-local-overrings-of-two-dimensional-regular-local-rings-2406.10966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/connectedness-and-integrally-closed-local-overrings-of-two-dimensional-regular-local-rings-2406.10966"/></url>
<url><loc>https://scifaro.com/en/abs/virtually-regular-modules-2406.11222</loc><lastmod>2024-06-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/virtually-regular-modules-2406.11222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/virtually-regular-modules-2406.11222"/></url>
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<url><loc>https://scifaro.com/en/abs/u-v-absorbing-prime-hyperideals-in-commutative-multiplicative-hyperrings-2406.14276</loc><lastmod>2024-06-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/u-v-absorbing-prime-hyperideals-in-commutative-multiplicative-hyperrings-2406.14276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/u-v-absorbing-prime-hyperideals-in-commutative-multiplicative-hyperrings-2406.14276"/></url>
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<url><loc>https://scifaro.com/en/abs/a-note-on-deligne-s-formula-2406.18185</loc><lastmod>2024-06-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-deligne-s-formula-2406.18185"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-deligne-s-formula-2406.18185"/></url>
<url><loc>https://scifaro.com/en/abs/polarization-and-gorenstein-liaison-2406.19985</loc><lastmod>2025-12-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polarization-and-gorenstein-liaison-2406.19985"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polarization-and-gorenstein-liaison-2406.19985"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-integral-closures-of-edge-ideals-of-weighted-oriented-graphs-2407.00270</loc><lastmod>2024-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-integral-closures-of-edge-ideals-of-weighted-oriented-graphs-2407.00270"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-integral-closures-of-edge-ideals-of-weighted-oriented-graphs-2407.00270"/></url>
<url><loc>https://scifaro.com/en/abs/minimal-free-resolutions-of-edge-ideals-of-edge-weighted-complete-bipartite-graphs-2407.00546</loc><lastmod>2024-07-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-edge-ideals-of-edge-weighted-complete-bipartite-graphs-2407.00546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/minimal-free-resolutions-of-edge-ideals-of-edge-weighted-complete-bipartite-graphs-2407.00546"/></url>
<url><loc>https://scifaro.com/en/abs/tame-fields-graded-rings-and-finite-complete-sequences-of-key-polynomials-2407.01030</loc><lastmod>2025-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tame-fields-graded-rings-and-finite-complete-sequences-of-key-polynomials-2407.01030"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tame-fields-graded-rings-and-finite-complete-sequences-of-key-polynomials-2407.01030"/></url>
<url><loc>https://scifaro.com/en/abs/purely-inseparable-ring-extensions-2407.01056</loc><lastmod>2024-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/purely-inseparable-ring-extensions-2407.01056"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/purely-inseparable-ring-extensions-2407.01056"/></url>
<url><loc>https://scifaro.com/en/abs/invariants-of-finite-orthogonal-groups-of-plus-type-in-odd-characteristic-2407.01152</loc><lastmod>2026-03-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariants-of-finite-orthogonal-groups-of-plus-type-in-odd-characteristic-2407.01152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariants-of-finite-orthogonal-groups-of-plus-type-in-odd-characteristic-2407.01152"/></url>
<url><loc>https://scifaro.com/en/abs/jets-and-principal-components-of-monomial-ideals-and-very-well-covered-graphs-2407.01836</loc><lastmod>2024-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jets-and-principal-components-of-monomial-ideals-and-very-well-covered-graphs-2407.01836"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jets-and-principal-components-of-monomial-ideals-and-very-well-covered-graphs-2407.01836"/></url>
<url><loc>https://scifaro.com/en/abs/an-ade-correspondence-for-grade-three-perfect-ideals-2407.02380</loc><lastmod>2024-07-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-ade-correspondence-for-grade-three-perfect-ideals-2407.02380"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-ade-correspondence-for-grade-three-perfect-ideals-2407.02380"/></url>
<url><loc>https://scifaro.com/en/abs/parabolic-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-2407.02588</loc><lastmod>2024-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/parabolic-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-2407.02588"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/parabolic-equivariant-modules-over-polynomial-rings-in-infinitely-many-variables-2407.02588"/></url>
<url><loc>https://scifaro.com/en/abs/the-extended-zero-divisor-graph-of-the-amalgamated-duplication-of-a-ring-along-an-ideal-2407.03022</loc><lastmod>2024-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-extended-zero-divisor-graph-of-the-amalgamated-duplication-of-a-ring-along-an-ideal-2407.03022"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-extended-zero-divisor-graph-of-the-amalgamated-duplication-of-a-ring-along-an-ideal-2407.03022"/></url>
<url><loc>https://scifaro.com/en/abs/rings-of-simple-range-2-2407.03196</loc><lastmod>2024-07-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-of-simple-range-2-2407.03196"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-of-simple-range-2-2407.03196"/></url>
<url><loc>https://scifaro.com/en/abs/algorithmic-and-extremal-obstructions-through-the-language-of-cohomology-2407.03488</loc><lastmod>2025-11-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algorithmic-and-extremal-obstructions-through-the-language-of-cohomology-2407.03488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algorithmic-and-extremal-obstructions-through-the-language-of-cohomology-2407.03488"/></url>
<url><loc>https://scifaro.com/en/abs/a-combinatorial-formula-for-the-coefficients-of-multidimensional-resultants-2407.04429</loc><lastmod>2025-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-combinatorial-formula-for-the-coefficients-of-multidimensional-resultants-2407.04429"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-combinatorial-formula-for-the-coefficients-of-multidimensional-resultants-2407.04429"/></url>
<url><loc>https://scifaro.com/en/abs/constructing-noncatenary-quasi-excellent-precompletions-2407.04497</loc><lastmod>2024-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/constructing-noncatenary-quasi-excellent-precompletions-2407.04497"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/constructing-noncatenary-quasi-excellent-precompletions-2407.04497"/></url>
<url><loc>https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-iii-2407.04759</loc><lastmod>2024-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-iii-2407.04759"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/comparing-hilbert-depth-of-i-with-hilbert-depth-of-s-i-iii-2407.04759"/></url>
<url><loc>https://scifaro.com/en/abs/tensor-products-of-d-fold-matrix-factorizations-2407.05072</loc><lastmod>2025-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tensor-products-of-d-fold-matrix-factorizations-2407.05072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tensor-products-of-d-fold-matrix-factorizations-2407.05072"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-edge-weighted-integrally-closed-cycles-2407.05077</loc><lastmod>2024-07-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-edge-weighted-integrally-closed-cycles-2407.05077"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-of-edge-ideals-of-edge-weighted-integrally-closed-cycles-2407.05077"/></url>
<url><loc>https://scifaro.com/en/abs/a-linear-generalization-of-the-nearly-gorenstein-property-with-applications-to-veronese-subalgebras-2407.05629</loc><lastmod>2026-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-linear-generalization-of-the-nearly-gorenstein-property-with-applications-to-veronese-subalgebras-2407.05629"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-linear-generalization-of-the-nearly-gorenstein-property-with-applications-to-veronese-subalgebras-2407.05629"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rees-algebra-and-the-conductor-of-an-ideal-2407.06922</loc><lastmod>2024-07-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rees-algebra-and-the-conductor-of-an-ideal-2407.06922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rees-algebra-and-the-conductor-of-an-ideal-2407.06922"/></url>
<url><loc>https://scifaro.com/en/abs/on-constacyclic-codes-over-a-class-of-non-chain-rings-2407.08193</loc><lastmod>2024-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-constacyclic-codes-over-a-class-of-non-chain-rings-2407.08193"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-constacyclic-codes-over-a-class-of-non-chain-rings-2407.08193"/></url>
<url><loc>https://scifaro.com/en/abs/generating-sequences-of-rank-1-valuations-2407.08293</loc><lastmod>2024-07-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generating-sequences-of-rank-1-valuations-2407.08293"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generating-sequences-of-rank-1-valuations-2407.08293"/></url>
<url><loc>https://scifaro.com/en/abs/symmetries-of-various-sets-of-polynomials-2407.09118</loc><lastmod>2025-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetries-of-various-sets-of-polynomials-2407.09118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetries-of-various-sets-of-polynomials-2407.09118"/></url>
<url><loc>https://scifaro.com/en/abs/construction-of-an-infinite-dimensional-family-of-exact-solutions-of-a-three-dimensional-biharmonic-equation-by-the-hypercomplex-method-2407.09821</loc><lastmod>2024-07-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/construction-of-an-infinite-dimensional-family-of-exact-solutions-of-a-three-dimensional-biharmonic-equation-by-the-hypercomplex-method-2407.09821"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/construction-of-an-infinite-dimensional-family-of-exact-solutions-of-a-three-dimensional-biharmonic-equation-by-the-hypercomplex-method-2407.09821"/></url>
<url><loc>https://scifaro.com/en/abs/f-pure-threshold-for-the-symmetric-determinantal-ring-2407.09978</loc><lastmod>2025-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-pure-threshold-for-the-symmetric-determinantal-ring-2407.09978"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-pure-threshold-for-the-symmetric-determinantal-ring-2407.09978"/></url>
<url><loc>https://scifaro.com/en/abs/on-unboundedness-of-some-invariants-of-mathcal-c-semigroups-2407.11584</loc><lastmod>2026-03-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-unboundedness-of-some-invariants-of-mathcal-c-semigroups-2407.11584"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-unboundedness-of-some-invariants-of-mathcal-c-semigroups-2407.11584"/></url>
<url><loc>https://scifaro.com/en/abs/classifying-smashing-ideals-in-derived-categories-of-valuation-domains-2407.11791</loc><lastmod>2024-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/classifying-smashing-ideals-in-derived-categories-of-valuation-domains-2407.11791"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/classifying-smashing-ideals-in-derived-categories-of-valuation-domains-2407.11791"/></url>
<url><loc>https://scifaro.com/en/abs/the-volume-intrinsic-to-a-commutative-graded-algebra-2407.11916</loc><lastmod>2024-07-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-volume-intrinsic-to-a-commutative-graded-algebra-2407.11916"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-volume-intrinsic-to-a-commutative-graded-algebra-2407.11916"/></url>
<url><loc>https://scifaro.com/en/abs/bigraded-castelnuovo-mumford-regularity-and-gr-obner-bases-2407.13536</loc><lastmod>2025-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bigraded-castelnuovo-mumford-regularity-and-gr-obner-bases-2407.13536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bigraded-castelnuovo-mumford-regularity-and-gr-obner-bases-2407.13536"/></url>
<url><loc>https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-ii-the-polynomial-ring-2407.13604</loc><lastmod>2025-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-ii-the-polynomial-ring-2407.13604"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gl-algebras-in-positive-characteristic-ii-the-polynomial-ring-2407.13604"/></url>
<url><loc>https://scifaro.com/en/abs/there-are-no-keller-maps-having-prime-degree-field-extensions-2407.13795</loc><lastmod>2024-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/there-are-no-keller-maps-having-prime-degree-field-extensions-2407.13795"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/there-are-no-keller-maps-having-prime-degree-field-extensions-2407.13795"/></url>
<url><loc>https://scifaro.com/en/abs/a-generalized-saito-freeness-criterion-2407.14082</loc><lastmod>2024-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-generalized-saito-freeness-criterion-2407.14082"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-generalized-saito-freeness-criterion-2407.14082"/></url>
<url><loc>https://scifaro.com/en/abs/the-v-numbers-and-linear-presentations-of-ideals-of-covers-of-graphs-2407.15206</loc><lastmod>2025-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-v-numbers-and-linear-presentations-of-ideals-of-covers-of-graphs-2407.15206"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-v-numbers-and-linear-presentations-of-ideals-of-covers-of-graphs-2407.15206"/></url>
<url><loc>https://scifaro.com/en/abs/prime-and-maximal-ideals-in-hurwitz-polynomial-rings-2407.15444</loc><lastmod>2024-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-and-maximal-ideals-in-hurwitz-polynomial-rings-2407.15444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-and-maximal-ideals-in-hurwitz-polynomial-rings-2407.15444"/></url>
<url><loc>https://scifaro.com/en/abs/the-reciprocal-complement-of-a-polynomial-ring-in-several-variables-over-a-field-2407.15637</loc><lastmod>2025-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-reciprocal-complement-of-a-polynomial-ring-in-several-variables-over-a-field-2407.15637"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-reciprocal-complement-of-a-polynomial-ring-in-several-variables-over-a-field-2407.15637"/></url>
<url><loc>https://scifaro.com/en/abs/rings-for-which-general-linear-forms-are-exact-zero-divisors-2407.16000</loc><lastmod>2026-02-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rings-for-which-general-linear-forms-are-exact-zero-divisors-2407.16000"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rings-for-which-general-linear-forms-are-exact-zero-divisors-2407.16000"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-symmetric-ideals-via-stratifications-of-derived-categories-2407.16071</loc><lastmod>2024-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-symmetric-ideals-via-stratifications-of-derived-categories-2407.16071"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-symmetric-ideals-via-stratifications-of-derived-categories-2407.16071"/></url>
<url><loc>https://scifaro.com/en/abs/normal-edge-ideals-of-edge-weighted-graphs-2407.16118</loc><lastmod>2024-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normal-edge-ideals-of-edge-weighted-graphs-2407.16118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normal-edge-ideals-of-edge-weighted-graphs-2407.16118"/></url>
<url><loc>https://scifaro.com/en/abs/the-spectrum-of-a-category-of-maximal-cohen-macaulay-modules-2407.16913</loc><lastmod>2024-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-spectrum-of-a-category-of-maximal-cohen-macaulay-modules-2407.16913"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-spectrum-of-a-category-of-maximal-cohen-macaulay-modules-2407.16913"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-semigroups-of-coated-odd-elements-2407.17153</loc><lastmod>2024-07-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-semigroups-of-coated-odd-elements-2407.17153"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-semigroups-of-coated-odd-elements-2407.17153"/></url>
<url><loc>https://scifaro.com/en/abs/graded-injective-modules-and-bass-numbers-of-veronese-submodules-2407.17656</loc><lastmod>2024-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-injective-modules-and-bass-numbers-of-veronese-submodules-2407.17656"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-injective-modules-and-bass-numbers-of-veronese-submodules-2407.17656"/></url>
<url><loc>https://scifaro.com/en/abs/cox-gorenstein-algebras-2407.17811</loc><lastmod>2025-11-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cox-gorenstein-algebras-2407.17811"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cox-gorenstein-algebras-2407.17811"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-version-of-p-flat-modules-and-its-applications-2407.17865</loc><lastmod>2024-07-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-version-of-p-flat-modules-and-its-applications-2407.17865"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-version-of-p-flat-modules-and-its-applications-2407.17865"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-monotypically-supersymmetric-polynomials-2407.18409</loc><lastmod>2024-07-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-monotypically-supersymmetric-polynomials-2407.18409"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-monotypically-supersymmetric-polynomials-2407.18409"/></url>
<url><loc>https://scifaro.com/en/abs/semi-covariety-of-numerical-semigroups-2407.18984</loc><lastmod>2024-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/semi-covariety-of-numerical-semigroups-2407.18984"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/semi-covariety-of-numerical-semigroups-2407.18984"/></url>
<url><loc>https://scifaro.com/en/abs/bizonotopal-graphical-algebras-2407.19431</loc><lastmod>2026-01-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bizonotopal-graphical-algebras-2407.19431"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bizonotopal-graphical-algebras-2407.19431"/></url>
<url><loc>https://scifaro.com/en/abs/the-rees-algebra-and-analytic-spread-of-a-divisorial-filtration-2407.19585</loc><lastmod>2025-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-rees-algebra-and-analytic-spread-of-a-divisorial-filtration-2407.19585"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-rees-algebra-and-analytic-spread-of-a-divisorial-filtration-2407.19585"/></url>
<url><loc>https://scifaro.com/en/abs/auslander-reiten-annihilators-2407.19999</loc><lastmod>2025-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/auslander-reiten-annihilators-2407.19999"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/auslander-reiten-annihilators-2407.19999"/></url>
<url><loc>https://scifaro.com/en/abs/lyubeznik-tables-of-s-r-and-cm-r-rings-2407.20129</loc><lastmod>2024-07-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lyubeznik-tables-of-s-r-and-cm-r-rings-2407.20129"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lyubeznik-tables-of-s-r-and-cm-r-rings-2407.20129"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-pinched-power-ideals-2407.20365</loc><lastmod>2025-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-pinched-power-ideals-2407.20365"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-pinched-power-ideals-2407.20365"/></url>
<url><loc>https://scifaro.com/en/abs/two-parallel-dynamic-lexicographic-algorithms-for-factorization-sets-in-numerical-semigroups-2407.20474</loc><lastmod>2024-07-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/two-parallel-dynamic-lexicographic-algorithms-for-factorization-sets-in-numerical-semigroups-2407.20474"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/two-parallel-dynamic-lexicographic-algorithms-for-factorization-sets-in-numerical-semigroups-2407.20474"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-polymatroidal-ideals-2407.20527</loc><lastmod>2025-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-polymatroidal-ideals-2407.20527"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-polymatroidal-ideals-2407.20527"/></url>
<url><loc>https://scifaro.com/en/abs/prime-ideals-of-moh-and-the-characteristic-of-the-field-2407.21692</loc><lastmod>2026-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/prime-ideals-of-moh-and-the-characteristic-of-the-field-2407.21692"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/prime-ideals-of-moh-and-the-characteristic-of-the-field-2407.21692"/></url>
<url><loc>https://scifaro.com/en/abs/the-poset-of-normalized-ideals-of-numerical-semigroups-with-multiplicity-three-2407.21697</loc><lastmod>2024-08-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-poset-of-normalized-ideals-of-numerical-semigroups-with-multiplicity-three-2407.21697"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-poset-of-normalized-ideals-of-numerical-semigroups-with-multiplicity-three-2407.21697"/></url>
<url><loc>https://scifaro.com/en/abs/a-bound-on-the-hartshorne-speiser-lyubeznik-number-of-semigroup-rings-2407.21731</loc><lastmod>2025-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-bound-on-the-hartshorne-speiser-lyubeznik-number-of-semigroup-rings-2407.21731"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-bound-on-the-hartshorne-speiser-lyubeznik-number-of-semigroup-rings-2407.21731"/></url>
<url><loc>https://scifaro.com/en/abs/weakly-s-prime-hyperideals-2408.00430</loc><lastmod>2024-08-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weakly-s-prime-hyperideals-2408.00430"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weakly-s-prime-hyperideals-2408.00430"/></url>
<url><loc>https://scifaro.com/en/abs/a-ring-of-cohomological-operators-on-ext-and-tor-2408.00730</loc><lastmod>2024-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-ring-of-cohomological-operators-on-ext-and-tor-2408.00730"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-ring-of-cohomological-operators-on-ext-and-tor-2408.00730"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicative-lattices-with-absorbing-factorization-2408.01100</loc><lastmod>2025-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicative-lattices-with-absorbing-factorization-2408.01100"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicative-lattices-with-absorbing-factorization-2408.01100"/></url>
<url><loc>https://scifaro.com/en/abs/on-weakly-s-primary-hyyperideals-2408.01758</loc><lastmod>2024-08-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-weakly-s-primary-hyyperideals-2408.01758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-weakly-s-primary-hyyperideals-2408.01758"/></url>
<url><loc>https://scifaro.com/en/abs/blowup-algebras-of-determinantal-modules-2408.01903</loc><lastmod>2025-07-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowup-algebras-of-determinantal-modules-2408.01903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowup-algebras-of-determinantal-modules-2408.01903"/></url>
<url><loc>https://scifaro.com/en/abs/determinants-of-hodge-riemann-forms-2408.02737</loc><lastmod>2024-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/determinants-of-hodge-riemann-forms-2408.02737"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/determinants-of-hodge-riemann-forms-2408.02737"/></url>
<url><loc>https://scifaro.com/en/abs/flagged-perturbations-and-anchored-resolutions-2408.02749</loc><lastmod>2024-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/flagged-perturbations-and-anchored-resolutions-2408.02749"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/flagged-perturbations-and-anchored-resolutions-2408.02749"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-of-even-periodic-modules-2408.02820</loc><lastmod>2024-08-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-of-even-periodic-modules-2408.02820"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-vanishing-of-self-extensions-of-even-periodic-modules-2408.02820"/></url>
<url><loc>https://scifaro.com/en/abs/weighted-borel-generators-2408.04120</loc><lastmod>2024-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/weighted-borel-generators-2408.04120"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/weighted-borel-generators-2408.04120"/></url>
<url><loc>https://scifaro.com/en/abs/non-noetherian-gl-algebras-in-characteristic-two-2408.04630</loc><lastmod>2024-08-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/non-noetherian-gl-algebras-in-characteristic-two-2408.04630"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/non-noetherian-gl-algebras-in-characteristic-two-2408.04630"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-of-ideals-submaximally-generated-by-quadrics-2408.05199</loc><lastmod>2024-08-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-of-ideals-submaximally-generated-by-quadrics-2408.05199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-of-ideals-submaximally-generated-by-quadrics-2408.05199"/></url>
<url><loc>https://scifaro.com/en/abs/first-coefficient-ideals-and-r-1-property-of-rees-algebras-2408.05532</loc><lastmod>2024-08-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/first-coefficient-ideals-and-r-1-property-of-rees-algebras-2408.05532"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/first-coefficient-ideals-and-r-1-property-of-rees-algebras-2408.05532"/></url>
<url><loc>https://scifaro.com/en/abs/normally-torsion-freeness-and-normality-criteria-for-monomial-ideals-2408.05561</loc><lastmod>2024-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/normally-torsion-freeness-and-normality-criteria-for-monomial-ideals-2408.05561"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/normally-torsion-freeness-and-normality-criteria-for-monomial-ideals-2408.05561"/></url>
<url><loc>https://scifaro.com/en/abs/a-special-subring-of-the-nagata-ring-and-the-serre-s-conjecture-ring-2408.08758</loc><lastmod>2026-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-special-subring-of-the-nagata-ring-and-the-serre-s-conjecture-ring-2408.08758"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-special-subring-of-the-nagata-ring-and-the-serre-s-conjecture-ring-2408.08758"/></url>
<url><loc>https://scifaro.com/en/abs/the-reflection-invariant-bispectrum-signal-recovery-in-the-dihedral-model-2408.09599</loc><lastmod>2025-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-reflection-invariant-bispectrum-signal-recovery-in-the-dihedral-model-2408.09599"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-reflection-invariant-bispectrum-signal-recovery-in-the-dihedral-model-2408.09599"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-complexes-in-network-intrusion-profiling-2408.09788</loc><lastmod>2024-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-complexes-in-network-intrusion-profiling-2408.09788"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-complexes-in-network-intrusion-profiling-2408.09788"/></url>
<url><loc>https://scifaro.com/en/abs/from-total-positivity-to-pure-free-resolutions-2408.10408</loc><lastmod>2025-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/from-total-positivity-to-pure-free-resolutions-2408.10408"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/from-total-positivity-to-pure-free-resolutions-2408.10408"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-s-flat-preenvelopes-2408.10523</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-s-flat-preenvelopes-2408.10523"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-s-flat-preenvelopes-2408.10523"/></url>
<url><loc>https://scifaro.com/en/abs/supertropical-monoids-iii-factorization-and-splitting-covers-2408.10772</loc><lastmod>2024-08-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/supertropical-monoids-iii-factorization-and-splitting-covers-2408.10772"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/supertropical-monoids-iii-factorization-and-splitting-covers-2408.10772"/></url>
<url><loc>https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-and-their-annihilators-2408.12206</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-and-their-annihilators-2408.12206"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/upper-bounds-for-dimensions-of-singularity-categories-and-their-annihilators-2408.12206"/></url>
<url><loc>https://scifaro.com/en/abs/phi-delta-s-primary-hyperideals-2408.12241</loc><lastmod>2024-08-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/phi-delta-s-primary-hyperideals-2408.12241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/phi-delta-s-primary-hyperideals-2408.12241"/></url>
<url><loc>https://scifaro.com/en/abs/shellable-flag-simplicial-complexes-of-non-simple-polyominoes-2408.12367</loc><lastmod>2025-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/shellable-flag-simplicial-complexes-of-non-simple-polyominoes-2408.12367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/shellable-flag-simplicial-complexes-of-non-simple-polyominoes-2408.12367"/></url>
<url><loc>https://scifaro.com/en/abs/degree-of-h-polynomials-of-edge-ideals-2408.12544</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/degree-of-h-polynomials-of-edge-ideals-2408.12544"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/degree-of-h-polynomials-of-edge-ideals-2408.12544"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-based-quasi-cozero-divisor-graph-of-a-commutative-ring-2408.13216</loc><lastmod>2024-08-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-based-quasi-cozero-divisor-graph-of-a-commutative-ring-2408.13216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-based-quasi-cozero-divisor-graph-of-a-commutative-ring-2408.13216"/></url>
<url><loc>https://scifaro.com/en/abs/syzygies-of-the-residue-field-over-golod-rings-2408.13425</loc><lastmod>2025-04-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/syzygies-of-the-residue-field-over-golod-rings-2408.13425"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/syzygies-of-the-residue-field-over-golod-rings-2408.13425"/></url>
<url><loc>https://scifaro.com/en/abs/rose-terao-yuzvinsky-theorem-for-reduced-forms-2408.13579</loc><lastmod>2024-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rose-terao-yuzvinsky-theorem-for-reduced-forms-2408.13579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rose-terao-yuzvinsky-theorem-for-reduced-forms-2408.13579"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-and-linear-covers-of-points-2408.14064</loc><lastmod>2024-11-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-and-linear-covers-of-points-2408.14064"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-and-linear-covers-of-points-2408.14064"/></url>
<url><loc>https://scifaro.com/en/abs/efficiently-deciding-if-an-ideal-is-toric-after-a-linear-coordinate-change-2408.14323</loc><lastmod>2025-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficiently-deciding-if-an-ideal-is-toric-after-a-linear-coordinate-change-2408.14323"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficiently-deciding-if-an-ideal-is-toric-after-a-linear-coordinate-change-2408.14323"/></url>
<url><loc>https://scifaro.com/en/abs/the-krull-remak-schmidt-decomposition-of-commutative-group-algebras-2408.14665</loc><lastmod>2024-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-krull-remak-schmidt-decomposition-of-commutative-group-algebras-2408.14665"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-krull-remak-schmidt-decomposition-of-commutative-group-algebras-2408.14665"/></url>
<url><loc>https://scifaro.com/en/abs/combinatorial-free-chain-complexes-over-quotient-polynomial-rings-2408.14695</loc><lastmod>2024-08-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/combinatorial-free-chain-complexes-over-quotient-polynomial-rings-2408.14695"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/combinatorial-free-chain-complexes-over-quotient-polynomial-rings-2408.14695"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-the-s-version-of-noetherianity-2408.14781</loc><lastmod>2025-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-the-s-version-of-noetherianity-2408.14781"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-the-s-version-of-noetherianity-2408.14781"/></url>
<url><loc>https://scifaro.com/en/abs/one-dimensional-monoid-algebras-and-ascending-chains-of-principal-ideals-2409.00580</loc><lastmod>2024-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/one-dimensional-monoid-algebras-and-ascending-chains-of-principal-ideals-2409.00580"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/one-dimensional-monoid-algebras-and-ascending-chains-of-principal-ideals-2409.00580"/></url>
<url><loc>https://scifaro.com/en/abs/homogeneous-khovanskii-bases-and-muvak-bases-2409.01146</loc><lastmod>2025-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homogeneous-khovanskii-bases-and-muvak-bases-2409.01146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homogeneous-khovanskii-bases-and-muvak-bases-2409.01146"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-two-classes-of-cohen-macaulay-binomial-edge-ideals-2409.01639</loc><lastmod>2024-09-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-two-classes-of-cohen-macaulay-binomial-edge-ideals-2409.01639"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-two-classes-of-cohen-macaulay-binomial-edge-ideals-2409.01639"/></url>
<url><loc>https://scifaro.com/en/abs/a-note-on-higher-almost-ring-theory-2409.01940</loc><lastmod>2025-10-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-note-on-higher-almost-ring-theory-2409.01940"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-note-on-higher-almost-ring-theory-2409.01940"/></url>
<url><loc>https://scifaro.com/en/abs/c-semigroups-with-its-induced-order-2409.02299</loc><lastmod>2024-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/c-semigroups-with-its-induced-order-2409.02299"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/c-semigroups-with-its-induced-order-2409.02299"/></url>
<url><loc>https://scifaro.com/en/abs/cardinality-of-groups-and-rings-via-the-idempotency-of-infinite-cardinals-2409.02488</loc><lastmod>2024-09-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cardinality-of-groups-and-rings-via-the-idempotency-of-infinite-cardinals-2409.02488"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cardinality-of-groups-and-rings-via-the-idempotency-of-infinite-cardinals-2409.02488"/></url>
<url><loc>https://scifaro.com/en/abs/pseudo-gorenstein-edge-rings-and-a-new-family-of-almost-gorenstein-edge-rings-2409.03176</loc><lastmod>2024-09-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pseudo-gorenstein-edge-rings-and-a-new-family-of-almost-gorenstein-edge-rings-2409.03176"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pseudo-gorenstein-edge-rings-and-a-new-family-of-almost-gorenstein-edge-rings-2409.03176"/></url>
<url><loc>https://scifaro.com/en/abs/tressl-s-structure-theorem-for-separable-algebras-2409.03654</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tressl-s-structure-theorem-for-separable-algebras-2409.03654"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tressl-s-structure-theorem-for-separable-algebras-2409.03654"/></url>
<url><loc>https://scifaro.com/en/abs/annihilators-of-co-homology-and-their-influence-on-the-trace-ideal-2409.04686</loc><lastmod>2024-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilators-of-co-homology-and-their-influence-on-the-trace-ideal-2409.04686"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilators-of-co-homology-and-their-influence-on-the-trace-ideal-2409.04686"/></url>
<url><loc>https://scifaro.com/en/abs/cofiniteness-and-finiteness-of-associated-prime-ideals-of-generalized-local-cohomology-modules-2409.05090</loc><lastmod>2024-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cofiniteness-and-finiteness-of-associated-prime-ideals-of-generalized-local-cohomology-modules-2409.05090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cofiniteness-and-finiteness-of-associated-prime-ideals-of-generalized-local-cohomology-modules-2409.05090"/></url>
<url><loc>https://scifaro.com/en/abs/stanley-reisner-ideals-with-pure-resolutions-2409.05481</loc><lastmod>2024-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stanley-reisner-ideals-with-pure-resolutions-2409.05481"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stanley-reisner-ideals-with-pure-resolutions-2409.05481"/></url>
<url><loc>https://scifaro.com/en/abs/set-theoretically-perfect-ideals-and-residual-intersections-2409.05705</loc><lastmod>2025-02-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/set-theoretically-perfect-ideals-and-residual-intersections-2409.05705"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/set-theoretically-perfect-ideals-and-residual-intersections-2409.05705"/></url>
<url><loc>https://scifaro.com/en/abs/square-free-powers-of-cohen-macaulay-forests-cycles-and-whiskered-cycles-2409.06021</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/square-free-powers-of-cohen-macaulay-forests-cycles-and-whiskered-cycles-2409.06021"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/square-free-powers-of-cohen-macaulay-forests-cycles-and-whiskered-cycles-2409.06021"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-depth-of-invariant-chains-of-edge-ideals-2409.06252</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-depth-of-invariant-chains-of-edge-ideals-2409.06252"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-depth-of-invariant-chains-of-edge-ideals-2409.06252"/></url>
<url><loc>https://scifaro.com/en/abs/a-computational-approach-to-the-study-of-finite-complement-submonids-of-an-affine-cone-2409.06376</loc><lastmod>2024-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-computational-approach-to-the-study-of-finite-complement-submonids-of-an-affine-cone-2409.06376"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-computational-approach-to-the-study-of-finite-complement-submonids-of-an-affine-cone-2409.06376"/></url>
<url><loc>https://scifaro.com/en/abs/bi-lipschitz-quotient-embedding-for-euclidean-group-actions-on-data-2409.06829</loc><lastmod>2024-09-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bi-lipschitz-quotient-embedding-for-euclidean-group-actions-on-data-2409.06829"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bi-lipschitz-quotient-embedding-for-euclidean-group-actions-on-data-2409.06829"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-cycles-in-koszul-homology-2409.07583</loc><lastmod>2024-09-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-cycles-in-koszul-homology-2409.07583"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-cycles-in-koszul-homology-2409.07583"/></url>
<url><loc>https://scifaro.com/en/abs/homological-dimensions-of-complexes-over-coherent-regular-rings-2409.08393</loc><lastmod>2025-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-dimensions-of-complexes-over-coherent-regular-rings-2409.08393"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-dimensions-of-complexes-over-coherent-regular-rings-2409.08393"/></url>
<url><loc>https://scifaro.com/en/abs/demailly-s-conjecture-for-general-and-very-general-points-2409.08535</loc><lastmod>2024-09-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/demailly-s-conjecture-for-general-and-very-general-points-2409.08535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/demailly-s-conjecture-for-general-and-very-general-points-2409.08535"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-auslander-s-depth-formula-for-quasi-projective-dimension-2409.08996</loc><lastmod>2026-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-auslander-s-depth-formula-for-quasi-projective-dimension-2409.08996"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-auslander-s-depth-formula-for-quasi-projective-dimension-2409.08996"/></url>
<url><loc>https://scifaro.com/en/abs/numerical-characterizations-for-integral-dependence-of-graded-ideals-2409.09346</loc><lastmod>2025-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/numerical-characterizations-for-integral-dependence-of-graded-ideals-2409.09346"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/numerical-characterizations-for-integral-dependence-of-graded-ideals-2409.09346"/></url>
<url><loc>https://scifaro.com/en/abs/on-golomb-topology-of-modules-over-commutative-rings-2409.09807</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-golomb-topology-of-modules-over-commutative-rings-2409.09807"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-golomb-topology-of-modules-over-commutative-rings-2409.09807"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-and-symbolic-rees-algebras-of-binomial-edge-ideals-of-some-classes-of-block-graphs-2409.10137</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-and-symbolic-rees-algebras-of-binomial-edge-ideals-of-some-classes-of-block-graphs-2409.10137"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-and-symbolic-rees-algebras-of-binomial-edge-ideals-of-some-classes-of-block-graphs-2409.10137"/></url>
<url><loc>https://scifaro.com/en/abs/radical-factorization-in-higher-dimension-2409.10219</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/radical-factorization-in-higher-dimension-2409.10219"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/radical-factorization-in-higher-dimension-2409.10219"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-representations-and-a-symmetrised-bernoulli-triangle-2409.10278</loc><lastmod>2024-09-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-representations-and-a-symmetrised-bernoulli-triangle-2409.10278"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-representations-and-a-symmetrised-bernoulli-triangle-2409.10278"/></url>
<url><loc>https://scifaro.com/en/abs/on-divisor-topology-of-commutative-rings-2409.10577</loc><lastmod>2025-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-divisor-topology-of-commutative-rings-2409.10577"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-divisor-topology-of-commutative-rings-2409.10577"/></url>
<url><loc>https://scifaro.com/en/abs/the-complete-integral-closure-of-a-pr-ufer-domain-is-a-topological-property-2409.11189</loc><lastmod>2024-09-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-complete-integral-closure-of-a-pr-ufer-domain-is-a-topological-property-2409.11189"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-complete-integral-closure-of-a-pr-ufer-domain-is-a-topological-property-2409.11189"/></url>
<url><loc>https://scifaro.com/en/abs/fitting-ideals-of-projective-limits-of-modules-over-non-noetherian-iwasawa-algebras-2409.11562</loc><lastmod>2026-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/fitting-ideals-of-projective-limits-of-modules-over-non-noetherian-iwasawa-algebras-2409.11562"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/fitting-ideals-of-projective-limits-of-modules-over-non-noetherian-iwasawa-algebras-2409.11562"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-koszul-modules-2409.11840</loc><lastmod>2024-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-koszul-modules-2409.11840"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-koszul-modules-2409.11840"/></url>
<url><loc>https://scifaro.com/en/abs/residual-functions-and-divisorial-ideals-2409.11846</loc><lastmod>2024-09-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/residual-functions-and-divisorial-ideals-2409.11846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/residual-functions-and-divisorial-ideals-2409.11846"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-over-strict-complete-intersections-2409.11877</loc><lastmod>2024-10-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-over-strict-complete-intersections-2409.11877"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-over-strict-complete-intersections-2409.11877"/></url>
<url><loc>https://scifaro.com/en/abs/coarsest-fourier-reflexive-partitions-for-the-lee-homogeneous-and-subfield-metric-2409.11926</loc><lastmod>2026-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/coarsest-fourier-reflexive-partitions-for-the-lee-homogeneous-and-subfield-metric-2409.11926"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/coarsest-fourier-reflexive-partitions-for-the-lee-homogeneous-and-subfield-metric-2409.11926"/></url>
<url><loc>https://scifaro.com/en/abs/uniform-bounds-on-projective-dimension-and-castelnuovo-mumford-regularity-2409.12787</loc><lastmod>2026-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniform-bounds-on-projective-dimension-and-castelnuovo-mumford-regularity-2409.12787"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniform-bounds-on-projective-dimension-and-castelnuovo-mumford-regularity-2409.12787"/></url>
<url><loc>https://scifaro.com/en/abs/the-strongly-flat-dimension-of-modules-and-rings-2409.13487</loc><lastmod>2024-09-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-strongly-flat-dimension-of-modules-and-rings-2409.13487"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-strongly-flat-dimension-of-modules-and-rings-2409.13487"/></url>
<url><loc>https://scifaro.com/en/abs/jordan-type-stratification-of-spaces-of-commuting-nilpotent-matrices-2409.13553</loc><lastmod>2025-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/jordan-type-stratification-of-spaces-of-commuting-nilpotent-matrices-2409.13553"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/jordan-type-stratification-of-spaces-of-commuting-nilpotent-matrices-2409.13553"/></url>
<url><loc>https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-with-weak-residual-conditions-2409.14238</loc><lastmod>2024-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-with-weak-residual-conditions-2409.14238"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rees-algebras-of-ideals-and-modules-with-weak-residual-conditions-2409.14238"/></url>
<url><loc>https://scifaro.com/en/abs/the-log-canonical-threshold-of-products-of-ideals-and-mixed-l-ojasiewicz-exponents-2409.14251</loc><lastmod>2024-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-log-canonical-threshold-of-products-of-ideals-and-mixed-l-ojasiewicz-exponents-2409.14251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-log-canonical-threshold-of-products-of-ideals-and-mixed-l-ojasiewicz-exponents-2409.14251"/></url>
<url><loc>https://scifaro.com/en/abs/extension-of-the-fundamental-theorem-of-algebra-for-polynomial-matrix-equations-with-circulant-matrices-2409.14643</loc><lastmod>2024-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-of-the-fundamental-theorem-of-algebra-for-polynomial-matrix-equations-with-circulant-matrices-2409.14643"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-of-the-fundamental-theorem-of-algebra-for-polynomial-matrix-equations-with-circulant-matrices-2409.14643"/></url>
<url><loc>https://scifaro.com/en/abs/bounding-reduction-number-and-the-hilbert-coefficients-of-filtration-2409.14860</loc><lastmod>2024-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounding-reduction-number-and-the-hilbert-coefficients-of-filtration-2409.14860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounding-reduction-number-and-the-hilbert-coefficients-of-filtration-2409.14860"/></url>
<url><loc>https://scifaro.com/en/abs/finite-dimensional-monomial-algebras-are-determined-by-their-automorphism-group-2409.15081</loc><lastmod>2026-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finite-dimensional-monomial-algebras-are-determined-by-their-automorphism-group-2409.15081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finite-dimensional-monomial-algebras-are-determined-by-their-automorphism-group-2409.15081"/></url>
<url><loc>https://scifaro.com/en/abs/scmalgebras-a-macaulay2-package-to-check-sequential-cohen-macaulayness-2409.15134</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/scmalgebras-a-macaulay2-package-to-check-sequential-cohen-macaulayness-2409.15134"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/scmalgebras-a-macaulay2-package-to-check-sequential-cohen-macaulayness-2409.15134"/></url>
<url><loc>https://scifaro.com/en/abs/perfectoid-towers-generated-from-prisms-2409.15785</loc><lastmod>2026-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfectoid-towers-generated-from-prisms-2409.15785"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfectoid-towers-generated-from-prisms-2409.15785"/></url>
<url><loc>https://scifaro.com/en/abs/a-new-proof-of-the-herzog-hibi-zheng-theorem-2409.15853</loc><lastmod>2025-01-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-new-proof-of-the-herzog-hibi-zheng-theorem-2409.15853"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-new-proof-of-the-herzog-hibi-zheng-theorem-2409.15853"/></url>
<url><loc>https://scifaro.com/en/abs/on-semisubtractive-ideals-of-semirings-2409.16192</loc><lastmod>2024-09-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-semisubtractive-ideals-of-semirings-2409.16192"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-semisubtractive-ideals-of-semirings-2409.16192"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ordinary-and-symbolic-powers-of-fiber-products-2409.17551</loc><lastmod>2024-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ordinary-and-symbolic-powers-of-fiber-products-2409.17551"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ordinary-and-symbolic-powers-of-fiber-products-2409.17551"/></url>
<url><loc>https://scifaro.com/en/abs/stability-of-annihilators-of-cohomology-and-closed-subsets-defined-by-jacobian-ideals-2409.17934</loc><lastmod>2024-09-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/stability-of-annihilators-of-cohomology-and-closed-subsets-defined-by-jacobian-ideals-2409.17934"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/stability-of-annihilators-of-cohomology-and-closed-subsets-defined-by-jacobian-ideals-2409.17934"/></url>
<url><loc>https://scifaro.com/en/abs/realization-of-spaces-of-commutative-rings-2409.18207</loc><lastmod>2025-05-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/realization-of-spaces-of-commutative-rings-2409.18207"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/realization-of-spaces-of-commutative-rings-2409.18207"/></url>
<url><loc>https://scifaro.com/en/abs/ideals-generated-by-power-sums-2409.18906</loc><lastmod>2024-09-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideals-generated-by-power-sums-2409.18906"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideals-generated-by-power-sums-2409.18906"/></url>
<url><loc>https://scifaro.com/en/abs/finiteness-of-leaps-in-the-sense-of-hasse-schmidt-of-reduced-rings-2409.19093</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/finiteness-of-leaps-in-the-sense-of-hasse-schmidt-of-reduced-rings-2409.19093"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/finiteness-of-leaps-in-the-sense-of-hasse-schmidt-of-reduced-rings-2409.19093"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-internal-sum-of-puiseux-monoids-2409.19198</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-internal-sum-of-puiseux-monoids-2409.19198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-internal-sum-of-puiseux-monoids-2409.19198"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-particular-subspace-of-homogeneous-preserving-star-operations-2409.19602</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-particular-subspace-of-homogeneous-preserving-star-operations-2409.19602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-particular-subspace-of-homogeneous-preserving-star-operations-2409.19602"/></url>
<url><loc>https://scifaro.com/en/abs/nil-prime-ideals-of-a-commutative-ring-2409.19950</loc><lastmod>2025-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/nil-prime-ideals-of-a-commutative-ring-2409.19950"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/nil-prime-ideals-of-a-commutative-ring-2409.19950"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-powers-and-symbolic-powers-of-edge-ideals-of-cubic-circulant-graphs-2409.20161</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-powers-and-symbolic-powers-of-edge-ideals-of-cubic-circulant-graphs-2409.20161"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-powers-and-symbolic-powers-of-edge-ideals-of-cubic-circulant-graphs-2409.20161"/></url>
<url><loc>https://scifaro.com/en/abs/the-stability-of-the-algebraic-degree-of-boolean-functions-when-restricted-to-affine-spaces-2409.20211</loc><lastmod>2024-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-stability-of-the-algebraic-degree-of-boolean-functions-when-restricted-to-affine-spaces-2409.20211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-stability-of-the-algebraic-degree-of-boolean-functions-when-restricted-to-affine-spaces-2409.20211"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-extensions-of-the-cohen-structure-theorem-2409.20241</loc><lastmod>2024-10-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-extensions-of-the-cohen-structure-theorem-2409.20241"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-extensions-of-the-cohen-structure-theorem-2409.20241"/></url>
<url><loc>https://scifaro.com/en/abs/s-fp-injective-modules-2410.00167</loc><lastmod>2024-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-fp-injective-modules-2410.00167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-fp-injective-modules-2410.00167"/></url>
<url><loc>https://scifaro.com/en/abs/the-space-of-homogeneous-preserving-semistar-operations-on-graded-domains-2410.00437</loc><lastmod>2024-10-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-space-of-homogeneous-preserving-semistar-operations-on-graded-domains-2410.00437"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-space-of-homogeneous-preserving-semistar-operations-on-graded-domains-2410.00437"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-whose-all-matching-powers-are-cohen-macaulay-2410.01666</loc><lastmod>2025-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-whose-all-matching-powers-are-cohen-macaulay-2410.01666"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-whose-all-matching-powers-are-cohen-macaulay-2410.01666"/></url>
<url><loc>https://scifaro.com/en/abs/on-phi-pr-ufer-like-conditions-2410.04181</loc><lastmod>2024-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-phi-pr-ufer-like-conditions-2410.04181"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-phi-pr-ufer-like-conditions-2410.04181"/></url>
<url><loc>https://scifaro.com/en/abs/rational-normal-curves-in-weighted-projective-space-2410.04586</loc><lastmod>2025-06-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-normal-curves-in-weighted-projective-space-2410.04586"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-normal-curves-in-weighted-projective-space-2410.04586"/></url>
<url><loc>https://scifaro.com/en/abs/regular-mathbb-z-graded-local-rings-and-graded-isolated-singularities-2410.05667</loc><lastmod>2025-08-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-mathbb-z-graded-local-rings-and-graded-isolated-singularities-2410.05667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-mathbb-z-graded-local-rings-and-graded-isolated-singularities-2410.05667"/></url>
<url><loc>https://scifaro.com/en/abs/bridging-meadows-and-sheaves-2410.05921</loc><lastmod>2024-10-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bridging-meadows-and-sheaves-2410.05921"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bridging-meadows-and-sheaves-2410.05921"/></url>
<url><loc>https://scifaro.com/en/abs/elementary-action-of-classical-groups-on-unimodular-rows-over-monoid-rings-2410.07631</loc><lastmod>2024-10-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elementary-action-of-classical-groups-on-unimodular-rows-over-monoid-rings-2410.07631"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elementary-action-of-classical-groups-on-unimodular-rows-over-monoid-rings-2410.07631"/></url>
<url><loc>https://scifaro.com/en/abs/on-maximal-common-divisors-in-puiseux-monoids-2410.09251</loc><lastmod>2024-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-maximal-common-divisors-in-puiseux-monoids-2410.09251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-maximal-common-divisors-in-puiseux-monoids-2410.09251"/></url>
<url><loc>https://scifaro.com/en/abs/strong-purity-and-phantom-morphisms-2410.09852</loc><lastmod>2024-10-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-purity-and-phantom-morphisms-2410.09852"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-purity-and-phantom-morphisms-2410.09852"/></url>
<url><loc>https://scifaro.com/en/abs/new-versions-of-frobenius-and-integral-closure-of-ideals-2410.10990</loc><lastmod>2026-01-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-versions-of-frobenius-and-integral-closure-of-ideals-2410.10990"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-versions-of-frobenius-and-integral-closure-of-ideals-2410.10990"/></url>
<url><loc>https://scifaro.com/en/abs/some-properties-of-ideals-in-cohen-macaulay-local-rings-2410.11144</loc><lastmod>2024-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-properties-of-ideals-in-cohen-macaulay-local-rings-2410.11144"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-properties-of-ideals-in-cohen-macaulay-local-rings-2410.11144"/></url>
<url><loc>https://scifaro.com/en/abs/on-coprimary-filtrations-2410.11606</loc><lastmod>2024-10-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-coprimary-filtrations-2410.11606"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-coprimary-filtrations-2410.11606"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-colengths-for-families-of-ideals-an-analytic-approach-2410.11991</loc><lastmod>2024-10-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-colengths-for-families-of-ideals-an-analytic-approach-2410.11991"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-colengths-for-families-of-ideals-an-analytic-approach-2410.11991"/></url>
<url><loc>https://scifaro.com/en/abs/vector-space-summands-of-lower-syzygies-2410.12227</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/vector-space-summands-of-lower-syzygies-2410.12227"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/vector-space-summands-of-lower-syzygies-2410.12227"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-relative-dependency-formula-2410.13239</loc><lastmod>2024-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-relative-dependency-formula-2410.13239"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-relative-dependency-formula-2410.13239"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-into-irreducible-numerical-semigroups-2410.13729</loc><lastmod>2024-10-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-into-irreducible-numerical-semigroups-2410.13729"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-into-irreducible-numerical-semigroups-2410.13729"/></url>
<url><loc>https://scifaro.com/en/abs/free-modules-with-isomorphic-duals-2410.14750</loc><lastmod>2026-03-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/free-modules-with-isomorphic-duals-2410.14750"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/free-modules-with-isomorphic-duals-2410.14750"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-gorenstein-normal-finite-covers-in-arbitrary-characteristic-2410.15149</loc><lastmod>2025-03-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-gorenstein-normal-finite-covers-in-arbitrary-characteristic-2410.15149"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-gorenstein-normal-finite-covers-in-arbitrary-characteristic-2410.15149"/></url>
<url><loc>https://scifaro.com/en/abs/on-rings-of-integer-valued-rational-functions-2410.16142</loc><lastmod>2024-11-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-rings-of-integer-valued-rational-functions-2410.16142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-rings-of-integer-valued-rational-functions-2410.16142"/></url>
<url><loc>https://scifaro.com/en/abs/valuation-ideal-factorization-domains-2410.16471</loc><lastmod>2025-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/valuation-ideal-factorization-domains-2410.16471"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/valuation-ideal-factorization-domains-2410.16471"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-transfer-of-certain-ring-theoretic-properties-in-anderson-rings-2410.17007</loc><lastmod>2024-10-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-transfer-of-certain-ring-theoretic-properties-in-anderson-rings-2410.17007"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-transfer-of-certain-ring-theoretic-properties-in-anderson-rings-2410.17007"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-gorenstein-and-complete-intersection-conditions-by-marked-bases-2410.17090</loc><lastmod>2026-02-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-gorenstein-and-complete-intersection-conditions-by-marked-bases-2410.17090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-gorenstein-and-complete-intersection-conditions-by-marked-bases-2410.17090"/></url>
<url><loc>https://scifaro.com/en/abs/on-minimal-flat-injective-presentations-over-local-graded-rings-2410.17667</loc><lastmod>2025-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-minimal-flat-injective-presentations-over-local-graded-rings-2410.17667"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-minimal-flat-injective-presentations-over-local-graded-rings-2410.17667"/></url>
<url><loc>https://scifaro.com/en/abs/poincar-e-series-of-semigroups-2410.17818</loc><lastmod>2025-07-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/poincar-e-series-of-semigroups-2410.17818"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/poincar-e-series-of-semigroups-2410.17818"/></url>
<url><loc>https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-sheaf-cohomology-2410.18152</loc><lastmod>2024-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-sheaf-cohomology-2410.18152"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-universal-coefficient-theorem-for-sheaf-cohomology-2410.18152"/></url>
<url><loc>https://scifaro.com/en/abs/lim-cohen-macaulay-sequences-of-modules-2410.18372</loc><lastmod>2024-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lim-cohen-macaulay-sequences-of-modules-2410.18372"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lim-cohen-macaulay-sequences-of-modules-2410.18372"/></url>
<url><loc>https://scifaro.com/en/abs/toric-splittings-2410.18467</loc><lastmod>2024-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-splittings-2410.18467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-splittings-2410.18467"/></url>
<url><loc>https://scifaro.com/en/abs/local-cohomology-of-ideals-and-the-r-n-condition-of-serre-2410.18493</loc><lastmod>2024-10-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/local-cohomology-of-ideals-and-the-r-n-condition-of-serre-2410.18493"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/local-cohomology-of-ideals-and-the-r-n-condition-of-serre-2410.18493"/></url>
<url><loc>https://scifaro.com/en/abs/the-contraction-property-on-the-relative-weak-normalization-and-lipschitz-saturation-of-algebras-2410.18942</loc><lastmod>2025-03-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-contraction-property-on-the-relative-weak-normalization-and-lipschitz-saturation-of-algebras-2410.18942"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-contraction-property-on-the-relative-weak-normalization-and-lipschitz-saturation-of-algebras-2410.18942"/></url>
<url><loc>https://scifaro.com/en/abs/bernstein-sato-functional-equations-for-ideals-in-positive-characteristic-2410.20188</loc><lastmod>2025-06-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bernstein-sato-functional-equations-for-ideals-in-positive-characteristic-2410.20188"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bernstein-sato-functional-equations-for-ideals-in-positive-characteristic-2410.20188"/></url>
<url><loc>https://scifaro.com/en/abs/unmixed-and-sequentially-cohen-macaulay-skew-tableau-ideals-2410.20492</loc><lastmod>2024-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/unmixed-and-sequentially-cohen-macaulay-skew-tableau-ideals-2410.20492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/unmixed-and-sequentially-cohen-macaulay-skew-tableau-ideals-2410.20492"/></url>
<url><loc>https://scifaro.com/en/abs/triangular-involutions-of-the-four-dimensional-polynomial-ring-in-characteristic-two-2410.21167</loc><lastmod>2024-10-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/triangular-involutions-of-the-four-dimensional-polynomial-ring-in-characteristic-two-2410.21167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/triangular-involutions-of-the-four-dimensional-polynomial-ring-in-characteristic-two-2410.21167"/></url>
<url><loc>https://scifaro.com/en/abs/rees-algebras-and-the-reduced-fiber-cone-of-divisorial-filtrations-on-two-dimensional-normal-local-rings-2410.22512</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rees-algebras-and-the-reduced-fiber-cone-of-divisorial-filtrations-on-two-dimensional-normal-local-rings-2410.22512"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rees-algebras-and-the-reduced-fiber-cone-of-divisorial-filtrations-on-two-dimensional-normal-local-rings-2410.22512"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-ideals-generated-by-powers-of-general-linear-forms-2410.22542</loc><lastmod>2025-05-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-ideals-generated-by-powers-of-general-linear-forms-2410.22542"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weak-lefschetz-property-for-ideals-generated-by-powers-of-general-linear-forms-2410.22542"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-via-extension-2410.22581</loc><lastmod>2025-11-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-via-extension-2410.22581"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-via-extension-2410.22581"/></url>
<url><loc>https://scifaro.com/en/abs/generalization-of-semi-regular-sequences-maximal-gr-o-bner-basis-degree-variants-of-genericness-and-related-conjectures-2410.23211</loc><lastmod>2025-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalization-of-semi-regular-sequences-maximal-gr-o-bner-basis-degree-variants-of-genericness-and-related-conjectures-2410.23211"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalization-of-semi-regular-sequences-maximal-gr-o-bner-basis-degree-variants-of-genericness-and-related-conjectures-2410.23211"/></url>
<url><loc>https://scifaro.com/en/abs/a-geometric-description-of-almost-gorensteinness-for-two-dimensional-normal-singularities-2410.23911</loc><lastmod>2024-11-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-geometric-description-of-almost-gorensteinness-for-two-dimensional-normal-singularities-2410.23911"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-geometric-description-of-almost-gorensteinness-for-two-dimensional-normal-singularities-2410.23911"/></url>
<url><loc>https://scifaro.com/en/abs/a-characterization-of-transfer-krull-orders-in-dedekind-domains-with-torsion-class-group-2411.00271</loc><lastmod>2026-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-characterization-of-transfer-krull-orders-in-dedekind-domains-with-torsion-class-group-2411.00271"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-characterization-of-transfer-krull-orders-in-dedekind-domains-with-torsion-class-group-2411.00271"/></url>
<url><loc>https://scifaro.com/en/abs/the-reciprocal-complements-of-classes-of-integral-domains-2411.00616</loc><lastmod>2024-11-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-reciprocal-complements-of-classes-of-integral-domains-2411.00616"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-reciprocal-complements-of-classes-of-integral-domains-2411.00616"/></url>
<url><loc>https://scifaro.com/en/abs/primes-and-absolutely-or-non-absolutely-irreducible-elements-in-atomic-domains-2411.01051</loc><lastmod>2026-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/primes-and-absolutely-or-non-absolutely-irreducible-elements-in-atomic-domains-2411.01051"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/primes-and-absolutely-or-non-absolutely-irreducible-elements-in-atomic-domains-2411.01051"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicity-of-powers-of-squarefree-monomial-ideals-2411.01287</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicity-of-powers-of-squarefree-monomial-ideals-2411.01287"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicity-of-powers-of-squarefree-monomial-ideals-2411.01287"/></url>
<url><loc>https://scifaro.com/en/abs/strong-f-regularity-and-the-uniform-symbolic-topology-property-2411.01480</loc><lastmod>2025-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/strong-f-regularity-and-the-uniform-symbolic-topology-property-2411.01480"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/strong-f-regularity-and-the-uniform-symbolic-topology-property-2411.01480"/></url>
<url><loc>https://scifaro.com/en/abs/resolutions-of-koszul-complexes-and-applications-2411.01959</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resolutions-of-koszul-complexes-and-applications-2411.01959"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resolutions-of-koszul-complexes-and-applications-2411.01959"/></url>
<url><loc>https://scifaro.com/en/abs/pairs-of-rings-sharing-their-units-2411.02101</loc><lastmod>2024-11-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/pairs-of-rings-sharing-their-units-2411.02101"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/pairs-of-rings-sharing-their-units-2411.02101"/></url>
<url><loc>https://scifaro.com/en/abs/almost-finitely-generated-inverse-systems-and-reduced-k-algebras-2411.03058</loc><lastmod>2024-11-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/almost-finitely-generated-inverse-systems-and-reduced-k-algebras-2411.03058"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/almost-finitely-generated-inverse-systems-and-reduced-k-algebras-2411.03058"/></url>
<url><loc>https://scifaro.com/en/abs/tight-closure-of-products-and-f-rational-singularities-2411.03167</loc><lastmod>2026-01-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/tight-closure-of-products-and-f-rational-singularities-2411.03167"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/tight-closure-of-products-and-f-rational-singularities-2411.03167"/></url>
<url><loc>https://scifaro.com/en/abs/cotorsion-pairs-and-tor-pairs-over-commutative-noetherian-rings-2411.04514</loc><lastmod>2024-11-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cotorsion-pairs-and-tor-pairs-over-commutative-noetherian-rings-2411.04514"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cotorsion-pairs-and-tor-pairs-over-commutative-noetherian-rings-2411.04514"/></url>
<url><loc>https://scifaro.com/en/abs/multiplicities-of-weakly-graded-families-of-ideals-2411.04831</loc><lastmod>2025-05-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/multiplicities-of-weakly-graded-families-of-ideals-2411.04831"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/multiplicities-of-weakly-graded-families-of-ideals-2411.04831"/></url>
<url><loc>https://scifaro.com/en/abs/cochordal-zero-divisor-graphs-and-betti-numbers-of-their-edge-ideals-2411.05251</loc><lastmod>2024-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cochordal-zero-divisor-graphs-and-betti-numbers-of-their-edge-ideals-2411.05251"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cochordal-zero-divisor-graphs-and-betti-numbers-of-their-edge-ideals-2411.05251"/></url>
<url><loc>https://scifaro.com/en/abs/projective-nullstellensatz-for-not-necessarily-algebraically-closed-fields-2411.06325</loc><lastmod>2025-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/projective-nullstellensatz-for-not-necessarily-algebraically-closed-fields-2411.06325"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/projective-nullstellensatz-for-not-necessarily-algebraically-closed-fields-2411.06325"/></url>
<url><loc>https://scifaro.com/en/abs/binomial-edge-rings-of-complete-bipartite-graphs-2411.07812</loc><lastmod>2024-11-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/binomial-edge-rings-of-complete-bipartite-graphs-2411.07812"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/binomial-edge-rings-of-complete-bipartite-graphs-2411.07812"/></url>
<url><loc>https://scifaro.com/en/abs/gram-matrices-for-isotropic-vectors-2411.08624</loc><lastmod>2026-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gram-matrices-for-isotropic-vectors-2411.08624"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gram-matrices-for-isotropic-vectors-2411.08624"/></url>
<url><loc>https://scifaro.com/en/abs/survey-on-second-submodules-of-modules-over-commutative-rings-2411.09333</loc><lastmod>2026-01-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/survey-on-second-submodules-of-modules-over-commutative-rings-2411.09333"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/survey-on-second-submodules-of-modules-over-commutative-rings-2411.09333"/></url>
<url><loc>https://scifaro.com/en/abs/arrangements-and-likelihood-2411.09508</loc><lastmod>2025-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arrangements-and-likelihood-2411.09508"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arrangements-and-likelihood-2411.09508"/></url>
<url><loc>https://scifaro.com/en/abs/gr-obner-bases-resolutions-and-the-lefschetz-properties-for-powers-of-a-general-linear-form-in-the-squarefree-algebra-2411.10209</loc><lastmod>2026-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gr-obner-bases-resolutions-and-the-lefschetz-properties-for-powers-of-a-general-linear-form-in-the-squarefree-algebra-2411.10209"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gr-obner-bases-resolutions-and-the-lefschetz-properties-for-powers-of-a-general-linear-form-in-the-squarefree-algebra-2411.10209"/></url>
<url><loc>https://scifaro.com/en/abs/covering-conditions-for-ideals-in-semirings-2411.10725</loc><lastmod>2025-07-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/covering-conditions-for-ideals-in-semirings-2411.10725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/covering-conditions-for-ideals-in-semirings-2411.10725"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-stanley-depth-and-hilbert-depth-of-some-classes-of-edge-ideals-of-graphs-2411.10844</loc><lastmod>2024-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-stanley-depth-and-hilbert-depth-of-some-classes-of-edge-ideals-of-graphs-2411.10844"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-stanley-depth-and-hilbert-depth-of-some-classes-of-edge-ideals-of-graphs-2411.10844"/></url>
<url><loc>https://scifaro.com/en/abs/invariant-theory-and-coefficient-algebras-of-lie-algebras-2411.11095</loc><lastmod>2025-11-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/invariant-theory-and-coefficient-algebras-of-lie-algebras-2411.11095"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/invariant-theory-and-coefficient-algebras-of-lie-algebras-2411.11095"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linear-symbolic-powers-of-edge-ideals-and-minh-s-conjecture-2411.11537</loc><lastmod>2024-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linear-symbolic-powers-of-edge-ideals-and-minh-s-conjecture-2411.11537"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linear-symbolic-powers-of-edge-ideals-and-minh-s-conjecture-2411.11537"/></url>
<url><loc>https://scifaro.com/en/abs/on-nearly-gorenstein-affine-semigroups-2411.12081</loc><lastmod>2024-11-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-nearly-gorenstein-affine-semigroups-2411.12081"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-nearly-gorenstein-affine-semigroups-2411.12081"/></url>
<url><loc>https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-polynomial-rings-2411.13090</loc><lastmod>2024-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-polynomial-rings-2411.13090"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/graded-components-of-local-cohomology-modules-over-polynomial-rings-2411.13090"/></url>
<url><loc>https://scifaro.com/en/abs/the-zero-divisor-graph-of-an-amalgamated-algebra-2411.13457</loc><lastmod>2024-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-zero-divisor-graph-of-an-amalgamated-algebra-2411.13457"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-zero-divisor-graph-of-an-amalgamated-algebra-2411.13457"/></url>
<url><loc>https://scifaro.com/en/abs/generalized-filter-properties-of-the-amalgamated-algebra-2411.13458</loc><lastmod>2024-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalized-filter-properties-of-the-amalgamated-algebra-2411.13458"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalized-filter-properties-of-the-amalgamated-algebra-2411.13458"/></url>
<url><loc>https://scifaro.com/en/abs/improved-upper-bounds-on-key-invariants-of-erd-h-o-s-r-enyi-numerical-semigroups-2411.13767</loc><lastmod>2025-07-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/improved-upper-bounds-on-key-invariants-of-erd-h-o-s-r-enyi-numerical-semigroups-2411.13767"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/improved-upper-bounds-on-key-invariants-of-erd-h-o-s-r-enyi-numerical-semigroups-2411.13767"/></url>
<url><loc>https://scifaro.com/en/abs/a-description-of-and-an-upper-bound-on-the-set-of-bad-primes-in-the-study-of-the-casas-alvero-conjecture-2411.13967</loc><lastmod>2024-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-description-of-and-an-upper-bound-on-the-set-of-bad-primes-in-the-study-of-the-casas-alvero-conjecture-2411.13967"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-description-of-and-an-upper-bound-on-the-set-of-bad-primes-in-the-study-of-the-casas-alvero-conjecture-2411.13967"/></url>
<url><loc>https://scifaro.com/en/abs/some-new-module-theoretic-characterizations-of-s-coherent-rings-2411.14142</loc><lastmod>2024-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-new-module-theoretic-characterizations-of-s-coherent-rings-2411.14142"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-new-module-theoretic-characterizations-of-s-coherent-rings-2411.14142"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-strong-persistence-property-and-normally-torsion-freeness-of-square-free-monomial-ideals-2411.14227</loc><lastmod>2024-11-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-strong-persistence-property-and-normally-torsion-freeness-of-square-free-monomial-ideals-2411.14227"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-strong-persistence-property-and-normally-torsion-freeness-of-square-free-monomial-ideals-2411.14227"/></url>
<url><loc>https://scifaro.com/en/abs/perfect-complexes-and-completion-2411.14761</loc><lastmod>2024-11-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/perfect-complexes-and-completion-2411.14761"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/perfect-complexes-and-completion-2411.14761"/></url>
<url><loc>https://scifaro.com/en/abs/every-finitely-generated-abelian-group-is-the-class-group-of-a-generalized-cluster-algebra-2411.14963</loc><lastmod>2025-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/every-finitely-generated-abelian-group-is-the-class-group-of-a-generalized-cluster-algebra-2411.14963"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/every-finitely-generated-abelian-group-is-the-class-group-of-a-generalized-cluster-algebra-2411.14963"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-atomicity-of-one-dimensional-monoid-algebras-2411.16151</loc><lastmod>2024-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-atomicity-of-one-dimensional-monoid-algebras-2411.16151"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-atomicity-of-one-dimensional-monoid-algebras-2411.16151"/></url>
<url><loc>https://scifaro.com/en/abs/polyominoes-and-knutson-ideals-2411.16364</loc><lastmod>2024-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/polyominoes-and-knutson-ideals-2411.16364"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/polyominoes-and-knutson-ideals-2411.16364"/></url>
<url><loc>https://scifaro.com/en/abs/birkhoff-style-theorems-through-infinitary-clone-algebras-2411.16386</loc><lastmod>2024-12-31</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/birkhoff-style-theorems-through-infinitary-clone-algebras-2411.16386"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/birkhoff-style-theorems-through-infinitary-clone-algebras-2411.16386"/></url>
<url><loc>https://scifaro.com/en/abs/generalised-buchberger-and-schreyer-algorithms-for-strongly-discrete-coherent-rings-2411.16460</loc><lastmod>2024-11-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generalised-buchberger-and-schreyer-algorithms-for-strongly-discrete-coherent-rings-2411.16460"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generalised-buchberger-and-schreyer-algorithms-for-strongly-discrete-coherent-rings-2411.16460"/></url>
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<url><loc>https://scifaro.com/en/abs/some-asymptotic-results-on-p-lengths-of-factorizations-for-numerical-semigroups-and-arithmetical-congruence-monoids-2411.17010</loc><lastmod>2024-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-asymptotic-results-on-p-lengths-of-factorizations-for-numerical-semigroups-and-arithmetical-congruence-monoids-2411.17010"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-asymptotic-results-on-p-lengths-of-factorizations-for-numerical-semigroups-and-arithmetical-congruence-monoids-2411.17010"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-algebraic-and-algebroid-curves-and-their-lipschitz-saturation-over-the-ground-ring-2411.17579</loc><lastmod>2024-11-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-algebraic-and-algebroid-curves-and-their-lipschitz-saturation-over-the-ground-ring-2411.17579"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-algebraic-and-algebroid-curves-and-their-lipschitz-saturation-over-the-ground-ring-2411.17579"/></url>
<url><loc>https://scifaro.com/en/abs/complexity-and-curvature-of-pairs-of-cohen-macaulay-modules-and-their-applications-2411.17622</loc><lastmod>2026-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/complexity-and-curvature-of-pairs-of-cohen-macaulay-modules-and-their-applications-2411.17622"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/complexity-and-curvature-of-pairs-of-cohen-macaulay-modules-and-their-applications-2411.17622"/></url>
<url><loc>https://scifaro.com/en/abs/note-on-the-coincidence-of-two-henselisations-2411.18186</loc><lastmod>2024-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/note-on-the-coincidence-of-two-henselisations-2411.18186"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/note-on-the-coincidence-of-two-henselisations-2411.18186"/></url>
<url><loc>https://scifaro.com/en/abs/identifying-partitions-with-maximum-commuting-orbit-q-u-u-r-2411.18340</loc><lastmod>2024-11-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/identifying-partitions-with-maximum-commuting-orbit-q-u-u-r-2411.18340"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/identifying-partitions-with-maximum-commuting-orbit-q-u-u-r-2411.18340"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-perturbations-of-noetherian-local-domains-2411.19011</loc><lastmod>2024-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-perturbations-of-noetherian-local-domains-2411.19011"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-perturbations-of-noetherian-local-domains-2411.19011"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-rich-landscape-of-complete-intersection-monomial-curves-2411.19260</loc><lastmod>2025-07-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-rich-landscape-of-complete-intersection-monomial-curves-2411.19260"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-rich-landscape-of-complete-intersection-monomial-curves-2411.19260"/></url>
<url><loc>https://scifaro.com/en/abs/indivisible-sequences-and-descendability-2411.19944</loc><lastmod>2024-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/indivisible-sequences-and-descendability-2411.19944"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/indivisible-sequences-and-descendability-2411.19944"/></url>
<url><loc>https://scifaro.com/en/abs/regularity-of-deficiency-modules-through-spectral-sequences-2412.00092</loc><lastmod>2026-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regularity-of-deficiency-modules-through-spectral-sequences-2412.00092"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regularity-of-deficiency-modules-through-spectral-sequences-2412.00092"/></url>
<url><loc>https://scifaro.com/en/abs/the-linkage-class-of-a-grade-three-complete-intersection-2412.00399</loc><lastmod>2024-12-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-linkage-class-of-a-grade-three-complete-intersection-2412.00399"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-linkage-class-of-a-grade-three-complete-intersection-2412.00399"/></url>
<url><loc>https://scifaro.com/en/abs/goldbach-theorems-for-group-semidomains-2412.00590</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/goldbach-theorems-for-group-semidomains-2412.00590"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/goldbach-theorems-for-group-semidomains-2412.00590"/></url>
<url><loc>https://scifaro.com/en/abs/uniformly-dominant-local-rings-and-orlov-spectra-of-singularity-categories-2412.00669</loc><lastmod>2026-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/uniformly-dominant-local-rings-and-orlov-spectra-of-singularity-categories-2412.00669"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/uniformly-dominant-local-rings-and-orlov-spectra-of-singularity-categories-2412.00669"/></url>
<url><loc>https://scifaro.com/en/abs/quasilifting-of-hulls-and-depth-of-tensor-product-of-modules-2412.01392</loc><lastmod>2025-08-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasilifting-of-hulls-and-depth-of-tensor-product-of-modules-2412.01392"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasilifting-of-hulls-and-depth-of-tensor-product-of-modules-2412.01392"/></url>
<url><loc>https://scifaro.com/en/abs/test-properties-of-some-cohen-macaulay-modules-and-criteria-for-local-rings-via-finite-vanishing-of-ext-or-tor-2412.01636</loc><lastmod>2026-01-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/test-properties-of-some-cohen-macaulay-modules-and-criteria-for-local-rings-via-finite-vanishing-of-ext-or-tor-2412.01636"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/test-properties-of-some-cohen-macaulay-modules-and-criteria-for-local-rings-via-finite-vanishing-of-ext-or-tor-2412.01636"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-indigenous-semirings-2412.02118</loc><lastmod>2025-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-indigenous-semirings-2412.02118"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-indigenous-semirings-2412.02118"/></url>
<url><loc>https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-quotients-2412.03468</loc><lastmod>2025-06-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-quotients-2412.03468"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/powers-of-edge-ideals-with-linear-quotients-2412.03468"/></url>
<url><loc>https://scifaro.com/en/abs/partial-betti-splittings-with-applications-to-binomial-edge-ideals-2412.04195</loc><lastmod>2024-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/partial-betti-splittings-with-applications-to-binomial-edge-ideals-2412.04195"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/partial-betti-splittings-with-applications-to-binomial-edge-ideals-2412.04195"/></url>
<url><loc>https://scifaro.com/en/abs/resurgence-number-and-convex-body-associated-to-pairs-of-graded-families-of-ideals-2412.04417</loc><lastmod>2024-12-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/resurgence-number-and-convex-body-associated-to-pairs-of-graded-families-of-ideals-2412.04417"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/resurgence-number-and-convex-body-associated-to-pairs-of-graded-families-of-ideals-2412.04417"/></url>
<url><loc>https://scifaro.com/en/abs/localization-of-unique-factorization-semidomains-2412.05261</loc><lastmod>2024-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/localization-of-unique-factorization-semidomains-2412.05261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/localization-of-unique-factorization-semidomains-2412.05261"/></url>
<url><loc>https://scifaro.com/en/abs/asymptotic-behavior-of-invariants-of-syzygies-of-maximal-cohen-macaulay-modules-2412.05860</loc><lastmod>2024-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/asymptotic-behavior-of-invariants-of-syzygies-of-maximal-cohen-macaulay-modules-2412.05860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/asymptotic-behavior-of-invariants-of-syzygies-of-maximal-cohen-macaulay-modules-2412.05860"/></url>
<url><loc>https://scifaro.com/en/abs/the-multiplicity-of-powers-of-a-class-of-non-square-free-monomial-ideals-2412.05945</loc><lastmod>2025-03-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-multiplicity-of-powers-of-a-class-of-non-square-free-monomial-ideals-2412.05945"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-multiplicity-of-powers-of-a-class-of-non-square-free-monomial-ideals-2412.05945"/></url>
<url><loc>https://scifaro.com/en/abs/on-a-problem-of-amitsur-and-small-2412.06230</loc><lastmod>2024-12-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-a-problem-of-amitsur-and-small-2412.06230"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-a-problem-of-amitsur-and-small-2412.06230"/></url>
<url><loc>https://scifaro.com/en/abs/annihilator-of-local-cohomology-modules-under-localization-and-completion-2412.06280</loc><lastmod>2025-09-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/annihilator-of-local-cohomology-modules-under-localization-and-completion-2412.06280"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/annihilator-of-local-cohomology-modules-under-localization-and-completion-2412.06280"/></url>
<url><loc>https://scifaro.com/en/abs/gapfree-graphs-and-powers-of-edge-ideals-with-linear-quotients-2412.06467</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/gapfree-graphs-and-powers-of-edge-ideals-with-linear-quotients-2412.06467"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/gapfree-graphs-and-powers-of-edge-ideals-with-linear-quotients-2412.06467"/></url>
<url><loc>https://scifaro.com/en/abs/ischebeck-s-formula-grade-and-quasi-homological-dimensions-2412.06659</loc><lastmod>2025-11-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ischebeck-s-formula-grade-and-quasi-homological-dimensions-2412.06659"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ischebeck-s-formula-grade-and-quasi-homological-dimensions-2412.06659"/></url>
<url><loc>https://scifaro.com/en/abs/when-the-poset-of-the-ideal-class-monoid-of-a-numerical-semigroup-is-a-lattice-2412.07281</loc><lastmod>2024-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-the-poset-of-the-ideal-class-monoid-of-a-numerical-semigroup-is-a-lattice-2412.07281"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-the-poset-of-the-ideal-class-monoid-of-a-numerical-semigroup-is-a-lattice-2412.07281"/></url>
<url><loc>https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-powers-of-ideals-in-dimension-two-2412.07546</loc><lastmod>2025-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-powers-of-ideals-in-dimension-two-2412.07546"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hilbert-kunz-multiplicity-of-powers-of-ideals-in-dimension-two-2412.07546"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-copersistence-property-and-nearly-copersistence-property-of-monomial-ideals-2412.07602</loc><lastmod>2024-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-copersistence-property-and-nearly-copersistence-property-of-monomial-ideals-2412.07602"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-copersistence-property-and-nearly-copersistence-property-of-monomial-ideals-2412.07602"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-gluing-of-formal-schemes-2412.07748</loc><lastmod>2024-12-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-gluing-of-formal-schemes-2412.07748"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-gluing-of-formal-schemes-2412.07748"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-krull-dimension-of-rings-of-integer-valued-rational-functions-2412.07931</loc><lastmod>2024-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-krull-dimension-of-rings-of-integer-valued-rational-functions-2412.07931"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-krull-dimension-of-rings-of-integer-valued-rational-functions-2412.07931"/></url>
<url><loc>https://scifaro.com/en/abs/building-monomial-ideals-with-fixed-betti-numbers-2412.07995</loc><lastmod>2024-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/building-monomial-ideals-with-fixed-betti-numbers-2412.07995"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/building-monomial-ideals-with-fixed-betti-numbers-2412.07995"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-lefschetz-properties-of-artinian-monomial-algebras-associated-to-certain-tadpole-graphs-2412.08037</loc><lastmod>2024-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-lefschetz-properties-of-artinian-monomial-algebras-associated-to-certain-tadpole-graphs-2412.08037"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-lefschetz-properties-of-artinian-monomial-algebras-associated-to-certain-tadpole-graphs-2412.08037"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-injective-dimension-of-unit-cartier-and-frobenius-modules-2412.08423</loc><lastmod>2024-12-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-injective-dimension-of-unit-cartier-and-frobenius-modules-2412.08423"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-injective-dimension-of-unit-cartier-and-frobenius-modules-2412.08423"/></url>
<url><loc>https://scifaro.com/en/abs/the-separating-noether-number-of-small-groups-2412.08621</loc><lastmod>2025-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-separating-noether-number-of-small-groups-2412.08621"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-separating-noether-number-of-small-groups-2412.08621"/></url>
<url><loc>https://scifaro.com/en/abs/lefschetz-properties-through-a-topological-lens-2412.08917</loc><lastmod>2024-12-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/lefschetz-properties-through-a-topological-lens-2412.08917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/lefschetz-properties-through-a-topological-lens-2412.08917"/></url>
<url><loc>https://scifaro.com/en/abs/sortable-simplicial-complexes-and-their-associated-toric-rings-2412.10113</loc><lastmod>2024-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sortable-simplicial-complexes-and-their-associated-toric-rings-2412.10113"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sortable-simplicial-complexes-and-their-associated-toric-rings-2412.10113"/></url>
<url><loc>https://scifaro.com/en/abs/regular-edges-matchings-and-hilbert-series-2412.10335</loc><lastmod>2024-12-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/regular-edges-matchings-and-hilbert-series-2412.10335"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/regular-edges-matchings-and-hilbert-series-2412.10335"/></url>
<url><loc>https://scifaro.com/en/abs/equality-of-elementary-symplectic-group-and-symplectic-group-2412.10696</loc><lastmod>2024-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/equality-of-elementary-symplectic-group-and-symplectic-group-2412.10696"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/equality-of-elementary-symplectic-group-and-symplectic-group-2412.10696"/></url>
<url><loc>https://scifaro.com/en/abs/arithmetic-properties-encoded-in-undermonoids-2412.11199</loc><lastmod>2024-12-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/arithmetic-properties-encoded-in-undermonoids-2412.11199"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/arithmetic-properties-encoded-in-undermonoids-2412.11199"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-the-generic-linkage-of-maximal-minors-2412.11235</loc><lastmod>2026-04-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-the-generic-linkage-of-maximal-minors-2412.11235"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-the-generic-linkage-of-maximal-minors-2412.11235"/></url>
<url><loc>https://scifaro.com/en/abs/monomial-ideals-with-minimal-generalized-barile-macchia-resolutions-2412.11843</loc><lastmod>2026-05-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/monomial-ideals-with-minimal-generalized-barile-macchia-resolutions-2412.11843"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/monomial-ideals-with-minimal-generalized-barile-macchia-resolutions-2412.11843"/></url>
<url><loc>https://scifaro.com/en/abs/the-canonical-trace-of-stanley-reisner-rings-that-are-gorenstein-on-the-punctured-spectrum-2412.12860</loc><lastmod>2024-12-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-canonical-trace-of-stanley-reisner-rings-that-are-gorenstein-on-the-punctured-spectrum-2412.12860"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-canonical-trace-of-stanley-reisner-rings-that-are-gorenstein-on-the-punctured-spectrum-2412.12860"/></url>
<url><loc>https://scifaro.com/en/abs/remarks-on-retracts-of-polynomial-rings-in-three-variables-in-any-characteristic-2412.13424</loc><lastmod>2024-12-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/remarks-on-retracts-of-polynomial-rings-in-three-variables-in-any-characteristic-2412.13424"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/remarks-on-retracts-of-polynomial-rings-in-three-variables-in-any-characteristic-2412.13424"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-set-of-associated-radicals-of-powers-of-monomial-ideals-2412.14904</loc><lastmod>2024-12-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-set-of-associated-radicals-of-powers-of-monomial-ideals-2412.14904"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-set-of-associated-radicals-of-powers-of-monomial-ideals-2412.14904"/></url>
<url><loc>https://scifaro.com/en/abs/sifted-degrees-of-the-equations-of-the-rees-module-and-their-connection-with-the-artin-rees-numbers-2412.15368</loc><lastmod>2025-05-26</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sifted-degrees-of-the-equations-of-the-rees-module-and-their-connection-with-the-artin-rees-numbers-2412.15368"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sifted-degrees-of-the-equations-of-the-rees-module-and-their-connection-with-the-artin-rees-numbers-2412.15368"/></url>
<url><loc>https://scifaro.com/en/abs/filtered-colimits-of-complete-intersection-algebras-2412.16237</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/filtered-colimits-of-complete-intersection-algebras-2412.16237"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/filtered-colimits-of-complete-intersection-algebras-2412.16237"/></url>
<url><loc>https://scifaro.com/en/abs/on-torsion-free-modules-and-semi-hereditary-rings-2412.16618</loc><lastmod>2024-12-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-torsion-free-modules-and-semi-hereditary-rings-2412.16618"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-torsion-free-modules-and-semi-hereditary-rings-2412.16618"/></url>
<url><loc>https://scifaro.com/en/abs/ideal-transition-systems-2412.17320</loc><lastmod>2026-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ideal-transition-systems-2412.17320"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ideal-transition-systems-2412.17320"/></url>
<url><loc>https://scifaro.com/en/abs/efficiently-checking-separating-indeterminates-2412.18369</loc><lastmod>2024-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/efficiently-checking-separating-indeterminates-2412.18369"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/efficiently-checking-separating-indeterminates-2412.18369"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-graded-m-obius-algebras-and-strongly-chordal-graphs-2412.18499</loc><lastmod>2024-12-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-graded-m-obius-algebras-and-strongly-chordal-graphs-2412.18499"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-graded-m-obius-algebras-and-strongly-chordal-graphs-2412.18499"/></url>
<url><loc>https://scifaro.com/en/abs/viewing-quasi-coherent-sheaves-of-ideals-as-ideals-of-a-ring-2412.18694</loc><lastmod>2024-12-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/viewing-quasi-coherent-sheaves-of-ideals-as-ideals-of-a-ring-2412.18694"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/viewing-quasi-coherent-sheaves-of-ideals-as-ideals-of-a-ring-2412.18694"/></url>
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<url><loc>https://scifaro.com/en/abs/on-the-equality-sum-j-e-jf-j-l-k-vspace-2mm-on-the-equality-sum-j-e-jf-j-l-k-for-a-finite-separable-extension-l-of-k-2412.19224</loc><lastmod>2025-01-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-equality-sum-j-e-jf-j-l-k-vspace-2mm-on-the-equality-sum-j-e-jf-j-l-k-for-a-finite-separable-extension-l-of-k-2412.19224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-equality-sum-j-e-jf-j-l-k-vspace-2mm-on-the-equality-sum-j-e-jf-j-l-k-for-a-finite-separable-extension-l-of-k-2412.19224"/></url>
<url><loc>https://scifaro.com/en/abs/computing-direct-sum-decompositions-2412.19799</loc><lastmod>2026-05-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-direct-sum-decompositions-2412.19799"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-direct-sum-decompositions-2412.19799"/></url>
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<url><loc>https://scifaro.com/en/abs/improvements-of-convex-dense-factorization-of-bivariate-polynomials-2501.06028</loc><lastmod>2025-01-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/improvements-of-convex-dense-factorization-of-bivariate-polynomials-2501.06028"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/improvements-of-convex-dense-factorization-of-bivariate-polynomials-2501.06028"/></url>
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<url><loc>https://scifaro.com/en/abs/f-singularities-of-polynomials-with-square-free-support-2501.16198</loc><lastmod>2025-01-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/f-singularities-of-polynomials-with-square-free-support-2501.16198"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/f-singularities-of-polynomials-with-square-free-support-2501.16198"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-quotient-ring-of-the-edge-ideal-of-a-star-graph-2501.16742</loc><lastmod>2025-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-quotient-ring-of-the-edge-ideal-of-a-star-graph-2501.16742"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-hilbert-depth-of-the-quotient-ring-of-the-edge-ideal-of-a-star-graph-2501.16742"/></url>
<url><loc>https://scifaro.com/en/abs/bcm-thresholds-of-non-principal-ideals-2501.16773</loc><lastmod>2026-04-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bcm-thresholds-of-non-principal-ideals-2501.16773"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bcm-thresholds-of-non-principal-ideals-2501.16773"/></url>
<url><loc>https://scifaro.com/en/abs/initial-ideals-of-generic-ideals-and-variations-of-moreno-soc-i-as-conjecture-2501.17383</loc><lastmod>2025-01-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/initial-ideals-of-generic-ideals-and-variations-of-moreno-soc-i-as-conjecture-2501.17383"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/initial-ideals-of-generic-ideals-and-variations-of-moreno-soc-i-as-conjecture-2501.17383"/></url>
<url><loc>https://scifaro.com/en/abs/on-finite-generating-sets-of-infinitely-generated-ideals-2501.17426</loc><lastmod>2025-08-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-finite-generating-sets-of-infinitely-generated-ideals-2501.17426"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-finite-generating-sets-of-infinitely-generated-ideals-2501.17426"/></url>
<url><loc>https://scifaro.com/en/abs/rational-invariants-of-even-degree-polynomials-under-the-orthogonal-group-2501.17504</loc><lastmod>2025-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/rational-invariants-of-even-degree-polynomials-under-the-orthogonal-group-2501.17504"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/rational-invariants-of-even-degree-polynomials-under-the-orthogonal-group-2501.17504"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideal-of-matching-polytopes-and-edge-colorings-2501.19209</loc><lastmod>2026-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideal-of-matching-polytopes-and-edge-colorings-2501.19209"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideal-of-matching-polytopes-and-edge-colorings-2501.19209"/></url>
<url><loc>https://scifaro.com/en/abs/a-basis-theorem-for-rings-with-commuting-operators-in-characteristic-zero-2501.19379</loc><lastmod>2025-02-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-basis-theorem-for-rings-with-commuting-operators-in-characteristic-zero-2501.19379"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-basis-theorem-for-rings-with-commuting-operators-in-characteristic-zero-2501.19379"/></url>
<url><loc>https://scifaro.com/en/abs/roller-coaster-gorenstein-algebras-and-koszul-algebras-failing-the-weak-lefschetz-property-2502.00155</loc><lastmod>2025-02-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/roller-coaster-gorenstein-algebras-and-koszul-algebras-failing-the-weak-lefschetz-property-2502.00155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/roller-coaster-gorenstein-algebras-and-koszul-algebras-failing-the-weak-lefschetz-property-2502.00155"/></url>
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<url><loc>https://scifaro.com/en/abs/dg-sensitive-pruning-a-complete-classification-of-dg-trees-and-cycles-2502.00591</loc><lastmod>2026-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/dg-sensitive-pruning-a-complete-classification-of-dg-trees-and-cycles-2502.00591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/dg-sensitive-pruning-a-complete-classification-of-dg-trees-and-cycles-2502.00591"/></url>
<url><loc>https://scifaro.com/en/abs/when-do-pseudo-gorenstein-rings-become-gorenstein-2502.01133</loc><lastmod>2025-06-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-do-pseudo-gorenstein-rings-become-gorenstein-2502.01133"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-do-pseudo-gorenstein-rings-become-gorenstein-2502.01133"/></url>
<url><loc>https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-regularity-and-linear-quotients-2502.01768</loc><lastmod>2025-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-regularity-and-linear-quotients-2502.01768"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-regularity-and-linear-quotients-2502.01768"/></url>
<url><loc>https://scifaro.com/en/abs/blowup-algebras-of-n-dimensional-ferrers-diagrams-2502.01917</loc><lastmod>2025-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/blowup-algebras-of-n-dimensional-ferrers-diagrams-2502.01917"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/blowup-algebras-of-n-dimensional-ferrers-diagrams-2502.01917"/></url>
<url><loc>https://scifaro.com/en/abs/morse-resolutions-of-monomial-ideals-and-betti-splittings-2502.02122</loc><lastmod>2025-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/morse-resolutions-of-monomial-ideals-and-betti-splittings-2502.02122"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/morse-resolutions-of-monomial-ideals-and-betti-splittings-2502.02122"/></url>
<url><loc>https://scifaro.com/en/abs/quasi-gorenstein-extended-rees-algebras-associated-with-filtrations-2502.02168</loc><lastmod>2025-02-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/quasi-gorenstein-extended-rees-algebras-associated-with-filtrations-2502.02168"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/quasi-gorenstein-extended-rees-algebras-associated-with-filtrations-2502.02168"/></url>
<url><loc>https://scifaro.com/en/abs/all-solid-rings-2502.02484</loc><lastmod>2025-09-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/all-solid-rings-2502.02484"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/all-solid-rings-2502.02484"/></url>
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<url><loc>https://scifaro.com/en/abs/cw-complexes-and-minimal-hilbert-vector-of-graded-artinian-gorenstein-algebras-2502.13276</loc><lastmod>2026-02-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cw-complexes-and-minimal-hilbert-vector-of-graded-artinian-gorenstein-algebras-2502.13276"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cw-complexes-and-minimal-hilbert-vector-of-graded-artinian-gorenstein-algebras-2502.13276"/></url>
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<url><loc>https://scifaro.com/en/abs/a-criterion-for-the-algebraic-density-property-of-affine-sl-2-manifolds-2502.13903</loc><lastmod>2025-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-criterion-for-the-algebraic-density-property-of-affine-sl-2-manifolds-2502.13903"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-criterion-for-the-algebraic-density-property-of-affine-sl-2-manifolds-2502.13903"/></url>
<url><loc>https://scifaro.com/en/abs/homological-properties-of-the-module-of-differentials-2502.14159</loc><lastmod>2025-02-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-properties-of-the-module-of-differentials-2502.14159"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-properties-of-the-module-of-differentials-2502.14159"/></url>
<url><loc>https://scifaro.com/en/abs/divisibility-relation-between-the-number-of-certain-surjective-group-and-ring-homomorphisms-2502.14266</loc><lastmod>2025-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisibility-relation-between-the-number-of-certain-surjective-group-and-ring-homomorphisms-2502.14266"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisibility-relation-between-the-number-of-certain-surjective-group-and-ring-homomorphisms-2502.14266"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-test-properties-of-the-frobenius-endomorphism-2502.15048</loc><lastmod>2026-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-test-properties-of-the-frobenius-endomorphism-2502.15048"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-test-properties-of-the-frobenius-endomorphism-2502.15048"/></url>
<url><loc>https://scifaro.com/en/abs/module-theoretic-characterizations-of-gorenstein-morphisms-2502.16004</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/module-theoretic-characterizations-of-gorenstein-morphisms-2502.16004"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/module-theoretic-characterizations-of-gorenstein-morphisms-2502.16004"/></url>
<url><loc>https://scifaro.com/en/abs/divisorial-multiplicative-lattices-2502.16155</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/divisorial-multiplicative-lattices-2502.16155"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/divisorial-multiplicative-lattices-2502.16155"/></url>
<url><loc>https://scifaro.com/en/abs/ext-functors-support-varieties-and-hilbert-polynomials-over-complete-intersection-rings-2502.16494</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ext-functors-support-varieties-and-hilbert-polynomials-over-complete-intersection-rings-2502.16494"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ext-functors-support-varieties-and-hilbert-polynomials-over-complete-intersection-rings-2502.16494"/></url>
<url><loc>https://scifaro.com/en/abs/new-families-of-artinian-gorenstein-algebras-with-the-weak-lefschetz-property-2502.16687</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/new-families-of-artinian-gorenstein-algebras-with-the-weak-lefschetz-property-2502.16687"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/new-families-of-artinian-gorenstein-algebras-with-the-weak-lefschetz-property-2502.16687"/></url>
<url><loc>https://scifaro.com/en/abs/ramification-in-modular-invariant-rings-2502.17228</loc><lastmod>2025-02-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/ramification-in-modular-invariant-rings-2502.17228"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/ramification-in-modular-invariant-rings-2502.17228"/></url>
<url><loc>https://scifaro.com/en/abs/betti-elements-and-full-atomic-support-in-rings-and-monoids-2502.17895</loc><lastmod>2025-03-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-elements-and-full-atomic-support-in-rings-and-monoids-2502.17895"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-elements-and-full-atomic-support-in-rings-and-monoids-2502.17895"/></url>
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<url><loc>https://scifaro.com/en/abs/an-upper-bound-for-the-multiplicity-and-wilf-s-conjecture-for-one-dimensional-cohen-macaulay-rings-2502.17989</loc><lastmod>2025-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-upper-bound-for-the-multiplicity-and-wilf-s-conjecture-for-one-dimensional-cohen-macaulay-rings-2502.17989"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-upper-bound-for-the-multiplicity-and-wilf-s-conjecture-for-one-dimensional-cohen-macaulay-rings-2502.17989"/></url>
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<url><loc>https://scifaro.com/en/abs/the-determinantal-matroid-2502.18222</loc><lastmod>2026-01-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-determinantal-matroid-2502.18222"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-determinantal-matroid-2502.18222"/></url>
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<url><loc>https://scifaro.com/en/abs/computing-all-minimal-markov-bases-in-macaulay2-2502.19031</loc><lastmod>2025-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computing-all-minimal-markov-bases-in-macaulay2-2502.19031"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computing-all-minimal-markov-bases-in-macaulay2-2502.19031"/></url>
<url><loc>https://scifaro.com/en/abs/b-orderings-for-all-ideals-b-of-dedekind-domains-and-generalized-factorials-2502.19072</loc><lastmod>2025-02-27</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/b-orderings-for-all-ideals-b-of-dedekind-domains-and-generalized-factorials-2502.19072"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/b-orderings-for-all-ideals-b-of-dedekind-domains-and-generalized-factorials-2502.19072"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-study-on-permutation-graphs-2502.19992</loc><lastmod>2025-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-study-on-permutation-graphs-2502.19992"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-study-on-permutation-graphs-2502.19992"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-polymatroidal-ideals-2502.19998</loc><lastmod>2025-02-28</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-polymatroidal-ideals-2502.19998"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-polymatroidal-ideals-2502.19998"/></url>
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<url><loc>https://scifaro.com/en/abs/newton-polytopes-and-analytic-spread-2503.00671</loc><lastmod>2025-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/newton-polytopes-and-analytic-spread-2503.00671"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/newton-polytopes-and-analytic-spread-2503.00671"/></url>
<url><loc>https://scifaro.com/en/abs/depth-of-extensions-of-valuations-2503.00850</loc><lastmod>2025-03-04</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-of-extensions-of-valuations-2503.00850"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-of-extensions-of-valuations-2503.00850"/></url>
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<url><loc>https://scifaro.com/en/abs/integral-closure-of-1-dimensional-rings-2503.01640</loc><lastmod>2026-01-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/integral-closure-of-1-dimensional-rings-2503.01640"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/integral-closure-of-1-dimensional-rings-2503.01640"/></url>
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<url><loc>https://scifaro.com/en/abs/a-classification-of-van-der-waerden-complexes-with-linear-resolution-2503.03083</loc><lastmod>2025-03-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-classification-of-van-der-waerden-complexes-with-linear-resolution-2503.03083"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-classification-of-van-der-waerden-complexes-with-linear-resolution-2503.03083"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-normal-edge-rings-ii-2503.03171</loc><lastmod>2025-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-normal-edge-rings-ii-2503.03171"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-normal-edge-rings-ii-2503.03171"/></url>
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<url><loc>https://scifaro.com/en/abs/on-deformation-of-perfectoid-purity-in-gorenstein-domains-2504.02966</loc><lastmod>2025-05-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-deformation-of-perfectoid-purity-in-gorenstein-domains-2504.02966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-deformation-of-perfectoid-purity-in-gorenstein-domains-2504.02966"/></url>
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<url><loc>https://scifaro.com/en/abs/further-results-on-artin-approximation-for-group-actions-on-mapping-germs-maps-x-y-and-for-quivers-of-maps-2504.03414</loc><lastmod>2025-04-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/further-results-on-artin-approximation-for-group-actions-on-mapping-germs-maps-x-y-and-for-quivers-of-maps-2504.03414"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/further-results-on-artin-approximation-for-group-actions-on-mapping-germs-maps-x-y-and-for-quivers-of-maps-2504.03414"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-a-quadratic-almost-complete-intersection-ideal-and-its-linked-gorenstein-ideal-2504.03977</loc><lastmod>2026-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-a-quadratic-almost-complete-intersection-ideal-and-its-linked-gorenstein-ideal-2504.03977"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-a-quadratic-almost-complete-intersection-ideal-and-its-linked-gorenstein-ideal-2504.03977"/></url>
<url><loc>https://scifaro.com/en/abs/on-composition-of-muiltivariable-formal-power-series-2504.04433</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-composition-of-muiltivariable-formal-power-series-2504.04433"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-composition-of-muiltivariable-formal-power-series-2504.04433"/></url>
<url><loc>https://scifaro.com/en/abs/some-results-on-mathrm-v-number-of-monomial-ideals-2504.04478</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-results-on-mathrm-v-number-of-monomial-ideals-2504.04478"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-results-on-mathrm-v-number-of-monomial-ideals-2504.04478"/></url>
<url><loc>https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-ii-2504.04746</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-ii-2504.04746"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-cohen-macaulay-property-of-invariant-rings-over-ring-of-integers-of-a-global-field-ii-2504.04746"/></url>
<url><loc>https://scifaro.com/en/abs/iterated-and-generalized-iterated-integrals-2504.04846</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/iterated-and-generalized-iterated-integrals-2504.04846"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/iterated-and-generalized-iterated-integrals-2504.04846"/></url>
<url><loc>https://scifaro.com/en/abs/componentwise-linear-ideals-from-sums-2504.05261</loc><lastmod>2025-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/componentwise-linear-ideals-from-sums-2504.05261"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/componentwise-linear-ideals-from-sums-2504.05261"/></url>
<url><loc>https://scifaro.com/en/abs/closure-operations-induced-via-resolutions-of-singularities-in-characteristic-zero-2504.05554</loc><lastmod>2026-02-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/closure-operations-induced-via-resolutions-of-singularities-in-characteristic-zero-2504.05554"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/closure-operations-induced-via-resolutions-of-singularities-in-characteristic-zero-2504.05554"/></url>
<url><loc>https://scifaro.com/en/abs/toric-ideals-of-graphs-minimally-generated-by-a-gr-obner-basis-2504.06216</loc><lastmod>2025-04-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/toric-ideals-of-graphs-minimally-generated-by-a-gr-obner-basis-2504.06216"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/toric-ideals-of-graphs-minimally-generated-by-a-gr-obner-basis-2504.06216"/></url>
<url><loc>https://scifaro.com/en/abs/variants-on-frobenius-intersection-flatness-and-applications-to-tate-algebras-2504.06444</loc><lastmod>2025-10-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/variants-on-frobenius-intersection-flatness-and-applications-to-tate-algebras-2504.06444"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/variants-on-frobenius-intersection-flatness-and-applications-to-tate-algebras-2504.06444"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-ext-analog-of-the-euler-characteristic-2504.06450</loc><lastmod>2025-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-ext-analog-of-the-euler-characteristic-2504.06450"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-ext-analog-of-the-euler-characteristic-2504.06450"/></url>
<url><loc>https://scifaro.com/en/abs/5-dimensional-minimal-quadratic-and-bilinear-forms-over-function-fields-of-conics-2504.06723</loc><lastmod>2025-04-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/5-dimensional-minimal-quadratic-and-bilinear-forms-over-function-fields-of-conics-2504.06723"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/5-dimensional-minimal-quadratic-and-bilinear-forms-over-function-fields-of-conics-2504.06723"/></url>
<url><loc>https://scifaro.com/en/abs/support-2-monomial-ideals-that-are-simis-2504.07045</loc><lastmod>2025-11-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/support-2-monomial-ideals-that-are-simis-2504.07045"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/support-2-monomial-ideals-that-are-simis-2504.07045"/></url>
<url><loc>https://scifaro.com/en/abs/hermite-reciprocity-and-self-duality-of-generalized-eagon-northcott-complexes-2504.07184</loc><lastmod>2025-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/hermite-reciprocity-and-self-duality-of-generalized-eagon-northcott-complexes-2504.07184"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/hermite-reciprocity-and-self-duality-of-generalized-eagon-northcott-complexes-2504.07184"/></url>
<url><loc>https://scifaro.com/en/abs/the-v-numbers-of-stanley-reisner-ideals-from-the-viewpoint-of-alexander-dual-complexes-2504.07535</loc><lastmod>2025-08-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-v-numbers-of-stanley-reisner-ideals-from-the-viewpoint-of-alexander-dual-complexes-2504.07535"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-v-numbers-of-stanley-reisner-ideals-from-the-viewpoint-of-alexander-dual-complexes-2504.07535"/></url>
<url><loc>https://scifaro.com/en/abs/criteria-for-finite-injective-dimension-of-modules-over-a-local-ring-2504.07536</loc><lastmod>2025-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/criteria-for-finite-injective-dimension-of-modules-over-a-local-ring-2504.07536"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/criteria-for-finite-injective-dimension-of-modules-over-a-local-ring-2504.07536"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-initial-ideal-of-a-generic-artinian-gorenstein-algebra-2504.07541</loc><lastmod>2025-04-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-initial-ideal-of-a-generic-artinian-gorenstein-algebra-2504.07541"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-initial-ideal-of-a-generic-artinian-gorenstein-algebra-2504.07541"/></url>
<url><loc>https://scifaro.com/en/abs/an-approach-to-martsinkovsky-s-invariant-via-auslander-s-approximation-theory-2504.09505</loc><lastmod>2025-04-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/an-approach-to-martsinkovsky-s-invariant-via-auslander-s-approximation-theory-2504.09505"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/an-approach-to-martsinkovsky-s-invariant-via-auslander-s-approximation-theory-2504.09505"/></url>
<url><loc>https://scifaro.com/en/abs/homological-invariants-of-edge-ideals-of-weighted-oriented-graphs-2504.09703</loc><lastmod>2025-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/homological-invariants-of-edge-ideals-of-weighted-oriented-graphs-2504.09703"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/homological-invariants-of-edge-ideals-of-weighted-oriented-graphs-2504.09703"/></url>
<url><loc>https://scifaro.com/en/abs/sagbi-bases-defining-ideals-and-algebra-of-minors-2504.10019</loc><lastmod>2025-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/sagbi-bases-defining-ideals-and-algebra-of-minors-2504.10019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/sagbi-bases-defining-ideals-and-algebra-of-minors-2504.10019"/></url>
<url><loc>https://scifaro.com/en/abs/on-gl-domains-and-the-ascent-of-the-idf-property-2504.10722</loc><lastmod>2025-04-22</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-gl-domains-and-the-ascent-of-the-idf-property-2504.10722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-gl-domains-and-the-ascent-of-the-idf-property-2504.10722"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-weierstrass-preparation-theorem-over-general-rings-2504.10725</loc><lastmod>2026-02-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-weierstrass-preparation-theorem-over-general-rings-2504.10725"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-weierstrass-preparation-theorem-over-general-rings-2504.10725"/></url>
<url><loc>https://scifaro.com/en/abs/some-four-dimensional-orthogonal-invariants-2504.10841</loc><lastmod>2025-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-four-dimensional-orthogonal-invariants-2504.10841"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-four-dimensional-orthogonal-invariants-2504.10841"/></url>
<url><loc>https://scifaro.com/en/abs/overrings-of-half-factorial-orders-2504.11394</loc><lastmod>2025-04-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/overrings-of-half-factorial-orders-2504.11394"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/overrings-of-half-factorial-orders-2504.11394"/></url>
<url><loc>https://scifaro.com/en/abs/admissible-matchings-and-the-castelnuovo-mumford-regularity-of-square-free-powers-2504.11941</loc><lastmod>2025-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/admissible-matchings-and-the-castelnuovo-mumford-regularity-of-square-free-powers-2504.11941"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/admissible-matchings-and-the-castelnuovo-mumford-regularity-of-square-free-powers-2504.11941"/></url>
<url><loc>https://scifaro.com/en/abs/computational-aspects-of-the-short-resolution-2504.12019</loc><lastmod>2025-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computational-aspects-of-the-short-resolution-2504.12019"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computational-aspects-of-the-short-resolution-2504.12019"/></url>
<url><loc>https://scifaro.com/en/abs/factorizations-of-polynomials-with-integral-non-negative-coefficients-2504.12145</loc><lastmod>2025-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/factorizations-of-polynomials-with-integral-non-negative-coefficients-2504.12145"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/factorizations-of-polynomials-with-integral-non-negative-coefficients-2504.12145"/></url>
<url><loc>https://scifaro.com/en/abs/computation-of-dominant-ideals-2504.12146</loc><lastmod>2025-04-17</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/computation-of-dominant-ideals-2504.12146"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/computation-of-dominant-ideals-2504.12146"/></url>
<url><loc>https://scifaro.com/en/abs/modular-matrix-invariants-under-some-transpose-actions-2504.12179</loc><lastmod>2026-03-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/modular-matrix-invariants-under-some-transpose-actions-2504.12179"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/modular-matrix-invariants-under-some-transpose-actions-2504.12179"/></url>
<url><loc>https://scifaro.com/en/abs/the-h-vectors-of-toric-ideals-of-odd-cycle-compositions-revisited-2504.13087</loc><lastmod>2025-04-18</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-h-vectors-of-toric-ideals-of-odd-cycle-compositions-revisited-2504.13087"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-h-vectors-of-toric-ideals-of-odd-cycle-compositions-revisited-2504.13087"/></url>
<url><loc>https://scifaro.com/en/abs/cohomology-vanishing-theorems-over-some-rings-containing-nilpotents-2504.13566</loc><lastmod>2025-04-21</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohomology-vanishing-theorems-over-some-rings-containing-nilpotents-2504.13566"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohomology-vanishing-theorems-over-some-rings-containing-nilpotents-2504.13566"/></url>
<url><loc>https://scifaro.com/en/abs/generic-forms-2504.13591</loc><lastmod>2025-10-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/generic-forms-2504.13591"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/generic-forms-2504.13591"/></url>
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<url><loc>https://scifaro.com/en/abs/on-robust-toric-ideals-of-weighted-oriented-graphs-2504.15200</loc><lastmod>2025-09-24</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-robust-toric-ideals-of-weighted-oriented-graphs-2504.15200"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-robust-toric-ideals-of-weighted-oriented-graphs-2504.15200"/></url>
<url><loc>https://scifaro.com/en/abs/on-extension-modules-of-finite-homological-dimension-2504.15224</loc><lastmod>2026-02-11</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-extension-modules-of-finite-homological-dimension-2504.15224"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-extension-modules-of-finite-homological-dimension-2504.15224"/></url>
<url><loc>https://scifaro.com/en/abs/kato-milne-cohomology-group-over-rational-function-fields-in-characteristic-2-ii-2504.15957</loc><lastmod>2025-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/kato-milne-cohomology-group-over-rational-function-fields-in-characteristic-2-ii-2504.15957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/kato-milne-cohomology-group-over-rational-function-fields-in-characteristic-2-ii-2504.15957"/></url>
<url><loc>https://scifaro.com/en/abs/relatively-big-projective-modules-and-their-applications-to-direct-sum-decompositions-2504.16568</loc><lastmod>2025-10-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/relatively-big-projective-modules-and-their-applications-to-direct-sum-decompositions-2504.16568"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/relatively-big-projective-modules-and-their-applications-to-direct-sum-decompositions-2504.16568"/></url>
<url><loc>https://scifaro.com/en/abs/algebraic-properties-of-tensor-product-of-modules-over-a-field-2504.17217</loc><lastmod>2025-04-25</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/algebraic-properties-of-tensor-product-of-modules-over-a-field-2504.17217"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/algebraic-properties-of-tensor-product-of-modules-over-a-field-2504.17217"/></url>
<url><loc>https://scifaro.com/en/abs/elasticity-of-orders-with-prime-conductor-2504.17957</loc><lastmod>2025-08-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elasticity-of-orders-with-prime-conductor-2504.17957"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elasticity-of-orders-with-prime-conductor-2504.17957"/></url>
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<url><loc>https://scifaro.com/en/abs/k-1-stability-of-symplectic-modules-over-monoid-algebras-2504.19492</loc><lastmod>2025-04-29</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/k-1-stability-of-symplectic-modules-over-monoid-algebras-2504.19492"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/k-1-stability-of-symplectic-modules-over-monoid-algebras-2504.19492"/></url>
<url><loc>https://scifaro.com/en/abs/depth-sensitivity-of-hilbert-coefficients-2504.19597</loc><lastmod>2025-05-30</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/depth-sensitivity-of-hilbert-coefficients-2504.19597"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/depth-sensitivity-of-hilbert-coefficients-2504.19597"/></url>
<url><loc>https://scifaro.com/en/abs/application-of-betti-splittings-to-the-regularity-of-binomial-edge-ideals-2504.21550</loc><lastmod>2025-05-01</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/application-of-betti-splittings-to-the-regularity-of-binomial-edge-ideals-2504.21550"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/application-of-betti-splittings-to-the-regularity-of-binomial-edge-ideals-2504.21550"/></url>
<url><loc>https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-gorenstein-toric-rings-2504.21760</loc><lastmod>2025-06-03</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-gorenstein-toric-rings-2504.21760"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/bounded-powers-of-edge-ideals-gorenstein-toric-rings-2504.21760"/></url>
<url><loc>https://scifaro.com/en/abs/on-the-depth-of-tensor-products-over-cohen-macaulay-rings-2505.00441</loc><lastmod>2025-05-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-the-depth-of-tensor-products-over-cohen-macaulay-rings-2505.00441"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-the-depth-of-tensor-products-over-cohen-macaulay-rings-2505.00441"/></url>
<url><loc>https://scifaro.com/en/abs/s-2-ifications-semi-nagata-rings-and-the-lifting-problem-2505.00521</loc><lastmod>2026-02-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/s-2-ifications-semi-nagata-rings-and-the-lifting-problem-2505.00521"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/s-2-ifications-semi-nagata-rings-and-the-lifting-problem-2505.00521"/></url>
<url><loc>https://scifaro.com/en/abs/key-exchange-protocol-based-on-circulant-matrix-action-over-congruence-simple-semiring-2505.00664</loc><lastmod>2025-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/key-exchange-protocol-based-on-circulant-matrix-action-over-congruence-simple-semiring-2505.00664"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/key-exchange-protocol-based-on-circulant-matrix-action-over-congruence-simple-semiring-2505.00664"/></url>
<url><loc>https://scifaro.com/en/abs/elasticity-in-orders-of-an-algebraic-number-field-with-radical-conductor-ideal-and-their-rings-of-formal-power-series-2505.01668</loc><lastmod>2025-05-06</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/elasticity-in-orders-of-an-algebraic-number-field-with-radical-conductor-ideal-and-their-rings-of-formal-power-series-2505.01668"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/elasticity-in-orders-of-an-algebraic-number-field-with-radical-conductor-ideal-and-their-rings-of-formal-power-series-2505.01668"/></url>
<url><loc>https://scifaro.com/en/abs/a-study-of-perfectoid-rings-via-galois-cohomology-2505.01922</loc><lastmod>2026-03-05</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/a-study-of-perfectoid-rings-via-galois-cohomology-2505.01922"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/a-study-of-perfectoid-rings-via-galois-cohomology-2505.01922"/></url>
<url><loc>https://scifaro.com/en/abs/decomposing-conditional-independence-ideals-with-hidden-variables-2505.02404</loc><lastmod>2025-12-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/decomposing-conditional-independence-ideals-with-hidden-variables-2505.02404"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/decomposing-conditional-independence-ideals-with-hidden-variables-2505.02404"/></url>
<url><loc>https://scifaro.com/en/abs/cohen-macaulay-squares-of-edge-ideals-2505.02605</loc><lastmod>2026-03-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/cohen-macaulay-squares-of-edge-ideals-2505.02605"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/cohen-macaulay-squares-of-edge-ideals-2505.02605"/></url>
<url><loc>https://scifaro.com/en/abs/additions-to-a-theorem-of-morey-ulrich-2505.03065</loc><lastmod>2025-09-10</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/additions-to-a-theorem-of-morey-ulrich-2505.03065"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/additions-to-a-theorem-of-morey-ulrich-2505.03065"/></url>
<url><loc>https://scifaro.com/en/abs/permanental-ideals-of-symmetric-matrices-2505.03367</loc><lastmod>2025-05-07</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/permanental-ideals-of-symmetric-matrices-2505.03367"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/permanental-ideals-of-symmetric-matrices-2505.03367"/></url>
<url><loc>https://scifaro.com/en/abs/on-minimal-free-resolutions-of-the-cover-ideals-of-clique-whiskered-graphs-2505.04248</loc><lastmod>2025-12-02</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/on-minimal-free-resolutions-of-the-cover-ideals-of-clique-whiskered-graphs-2505.04248"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/on-minimal-free-resolutions-of-the-cover-ideals-of-clique-whiskered-graphs-2505.04248"/></url>
<url><loc>https://scifaro.com/en/abs/extension-closed-subcategories-over-hypersurfaces-of-finite-or-countable-cm-representation-type-2505.04872</loc><lastmod>2025-05-12</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/extension-closed-subcategories-over-hypersurfaces-of-finite-or-countable-cm-representation-type-2505.04872"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/extension-closed-subcategories-over-hypersurfaces-of-finite-or-countable-cm-representation-type-2505.04872"/></url>
<url><loc>https://scifaro.com/en/abs/there-is-no-polynomial-formula-for-the-catenary-and-the-tame-degree-of-finitely-generated-monoids-2505.05330</loc><lastmod>2025-05-09</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/there-is-no-polynomial-formula-for-the-catenary-and-the-tame-degree-of-finitely-generated-monoids-2505.05330"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/there-is-no-polynomial-formula-for-the-catenary-and-the-tame-degree-of-finitely-generated-monoids-2505.05330"/></url>
<url><loc>https://scifaro.com/en/abs/simplicial-resolutions-of-the-quadratic-power-of-monomial-ideals-2505.06751</loc><lastmod>2025-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/simplicial-resolutions-of-the-quadratic-power-of-monomial-ideals-2505.06751"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/simplicial-resolutions-of-the-quadratic-power-of-monomial-ideals-2505.06751"/></url>
<url><loc>https://scifaro.com/en/abs/standard-multigraded-hibi-rings-and-cartwright-sturmfels-ideals-2505.06837</loc><lastmod>2025-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/standard-multigraded-hibi-rings-and-cartwright-sturmfels-ideals-2505.06837"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/standard-multigraded-hibi-rings-and-cartwright-sturmfels-ideals-2505.06837"/></url>
<url><loc>https://scifaro.com/en/abs/betti-numbers-of-edge-ideals-of-weighted-oriented-crown-graphs-2505.06992</loc><lastmod>2025-05-13</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/betti-numbers-of-edge-ideals-of-weighted-oriented-crown-graphs-2505.06992"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/betti-numbers-of-edge-ideals-of-weighted-oriented-crown-graphs-2505.06992"/></url>
<url><loc>https://scifaro.com/en/abs/koszul-property-and-finite-linearity-defect-over-g-stretched-local-rings-2505.07248</loc><lastmod>2025-05-20</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/koszul-property-and-finite-linearity-defect-over-g-stretched-local-rings-2505.07248"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/koszul-property-and-finite-linearity-defect-over-g-stretched-local-rings-2505.07248"/></url>
<url><loc>https://scifaro.com/en/abs/torsion-modules-and-differential-operators-in-infinitely-many-variables-2505.07739</loc><lastmod>2026-04-08</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/torsion-modules-and-differential-operators-in-infinitely-many-variables-2505.07739"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/torsion-modules-and-differential-operators-in-infinitely-many-variables-2505.07739"/></url>
<url><loc>https://scifaro.com/en/abs/universal-enveloping-h-pseudoalgebras-of-dgp-pseudoalgebras-2505.08494</loc><lastmod>2025-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/universal-enveloping-h-pseudoalgebras-of-dgp-pseudoalgebras-2505.08494"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/universal-enveloping-h-pseudoalgebras-of-dgp-pseudoalgebras-2505.08494"/></url>
<url><loc>https://scifaro.com/en/abs/when-are-morse-resolutions-polyhedral-2505.08580</loc><lastmod>2025-05-14</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/when-are-morse-resolutions-polyhedral-2505.08580"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/when-are-morse-resolutions-polyhedral-2505.08580"/></url>
<url><loc>https://scifaro.com/en/abs/properties-of-lcm-lattices-of-monomial-ideals-2505.08722</loc><lastmod>2026-04-23</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/properties-of-lcm-lattices-of-monomial-ideals-2505.08722"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/properties-of-lcm-lattices-of-monomial-ideals-2505.08722"/></url>
<url><loc>https://scifaro.com/en/abs/some-graphs-related-to-submodules-of-a-module-2505.09448</loc><lastmod>2025-05-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/some-graphs-related-to-submodules-of-a-module-2505.09448"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/some-graphs-related-to-submodules-of-a-module-2505.09448"/></url>
<url><loc>https://scifaro.com/en/abs/symbolic-powers-of-toric-ideals-2505.09709</loc><lastmod>2025-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symbolic-powers-of-toric-ideals-2505.09709"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symbolic-powers-of-toric-ideals-2505.09709"/></url>
<url><loc>https://scifaro.com/en/abs/z-circ-submodules-of-a-reduced-multiplication-module-2505.09961</loc><lastmod>2025-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/z-circ-submodules-of-a-reduced-multiplication-module-2505.09961"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/z-circ-submodules-of-a-reduced-multiplication-module-2505.09961"/></url>
<url><loc>https://scifaro.com/en/abs/second-semimodules-over-commutative-semirings-2505.09966</loc><lastmod>2025-05-16</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/second-semimodules-over-commutative-semirings-2505.09966"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/second-semimodules-over-commutative-semirings-2505.09966"/></url>
<url><loc>https://scifaro.com/en/abs/the-weak-normalization-of-an-affine-semigroup-2505.10707</loc><lastmod>2025-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/the-weak-normalization-of-an-affine-semigroup-2505.10707"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/the-weak-normalization-of-an-affine-semigroup-2505.10707"/></url>
<url><loc>https://scifaro.com/en/abs/symmetric-generalized-numerical-semigroups-in-mathbb-n-d-with-embedding-dimension-2d-1-2505.11091</loc><lastmod>2025-07-15</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/symmetric-generalized-numerical-semigroups-in-mathbb-n-d-with-embedding-dimension-2d-1-2505.11091"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/symmetric-generalized-numerical-semigroups-in-mathbb-n-d-with-embedding-dimension-2d-1-2505.11091"/></url>
<url><loc>https://scifaro.com/en/abs/mathbb-z-r-graded-rings-and-their-canonical-modules-2505.11402</loc><lastmod>2025-05-19</lastmod><xhtml:link rel="alternate" hreflang="en" href="https://scifaro.com/en/abs/mathbb-z-r-graded-rings-and-their-canonical-modules-2505.11402"/><xhtml:link rel="alternate" hreflang="x-default" href="https://scifaro.com/en/abs/mathbb-z-r-graded-rings-and-their-canonical-modules-2505.11402"/></url>
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