Pretty cleanness and filter-regular sequences

Somayeh Bandari; Kamran Divaani-Aazar; Ali Soleyman Jahan

Pretty cleanness and filter-regular sequences

Commutative Algebra 2013-12-04 v1

Authors: Somayeh Bandari , Kamran Divaani-Aazar , Ali Soleyman Jahan

Abstract

Let $K$ be a field and $S=K[x_1,\ldots, x_n]$ . Let $I$ be a monomial ideal of $S$ and $u_1,\ldots, u_r$ be monomials in $S$ which form a filter-regular sequence on $S/I$ . We show that $S/I$ is pretty clean if and only if $S/(I,u_1,\ldots, u_r)$ is pretty clean.

Cite

@article{arxiv.1312.0858,
  title  = {Pretty cleanness and filter-regular sequences},
  author = {Somayeh Bandari and Kamran Divaani-Aazar and Ali Soleyman Jahan},
  journal= {arXiv preprint arXiv:1312.0858},
  year   = {2013}
}

Comments

It will be published in Czechoslovak Mathematical Journal

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