A note on Stanley conjecture for monomial ideals

Details A note on Stanley conjecture for monomial ideals A note on Stanley conjecture for monomial ideals

2011-11-07

arxiv.org/abs/1111.1550v2

Mathematics

Commutative Algebra

This paper was withdrawn because it was accepted to be published in Bull. Math. Soc. Roumanie with the title changed in "The S

Scientific paper

In this paper, we prove that if $I\subset S:=K[x_1,...,x_n]$ is a monomial ideal then $I$ and $S/I$ satisfy the Stanley conjecture when $I$ has a small number of generators, with respect to $\depth(S/I)$ and $\max\{|P|:\;P\in\Ass(S/I)\}$. In particular, if $I$ be a monomial almost complete intersection ideal in $S$, then Stanley's Conjecture holds for $S/I$ and $I$.

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