Stanley depth on five generated, squarefree, monomial ideals

Abstract

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

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

References in corpus (6)

• Lexsegment ideals of Hilbert depth 1
• The Stanley conjecture on monomial almost complete intersection ideals
• Depth of some square free monomial ideals
• Depth of factors of square free monomial ideals
• Three generated, squarefree, monomial ideals
• Depth of some special monomial ideals

Cited by in corpus (2)

• Stanley depth and simplicial spanning trees
• Stanley depth of monomial ideals