English

Intersection algebras for principal monomial ideals in polynomial rings

Commutative Algebra 2014-09-05 v1

Abstract

The properties of the intersection algebra of two principal monomial ideals in a polynomial ring are investigated in detail. Results are obtained regarding the Hilbert series and the canonical ideal of the intersection algebra using methods from the theory of diophantine linear equations with integer coefficients.

Keywords

Cite

@article{arxiv.1409.1319,
  title  = {Intersection algebras for principal monomial ideals in polynomial rings},
  author = {Florian Enescu and Sara Malec},
  journal= {arXiv preprint arXiv:1409.1319},
  year   = {2014}
}

Comments

23 pages

R2 v1 2026-06-22T05:48:14.768Z