Some remarks on the Stanley's depth for multigraded modules

Details Some remarks on the Stanley's depth for multigraded modules Some remarks on the Stanley's depth for multigraded modules

2008-08-19

arxiv.org/abs/0808.2657v2

Mathematics

Commutative Algebra

6 pages

Scientific paper

We show that the Stanley's conjecture holds for any multigraded $S$-module
$M$ with $\sdepth(M)=0$, where $S=K[x_1,...,x_n]$. Also, we give some bounds
for the Stanley depth of the powers of the maximal irrelevant ideal in $S$.

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