Some remarks on the Stanley's depth for multigraded modules

Abstract

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 $S$.

6 pages

References in corpus (3)

• Stanley decompositions and localization
• Stanley depth of monomial ideals in three variables
• Stanley Depth of Multigraded Modules

Cited by in corpus (2)

• Stanley depth of monomial ideals with small number of generators
• Gröbner bases of syzygies and Stanley depth