English

Stanley depth on five generated, squarefree, monomial ideals

Commutative Algebra 2015-04-06 v6

Abstract

Let IJI\supsetneq J be two squarefree monomial ideals of a polynomial algebra over a field generated in degree d\geq d, resp. d+1\geq d+1 . Suppose that II is either generated by four squarefree monomials of degrees dd and others of degrees d+1\geq d+1, or by five special monomials of degrees dd. If the Stanley depth of I/JI/J is d+1\leq d+1 then the usual depth of I/JI/J is d+1\leq d+1 too.

Keywords

Cite

@article{arxiv.1312.0923,
  title  = {Stanley depth on five generated, squarefree, monomial ideals},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:1312.0923},
  year   = {2015}
}

Comments

To appear in this form in Bulletin Math. Soc. Sci. Math. Roumanie

R2 v1 2026-06-22T02:20:02.476Z