Computing the Stanley depth

Abstract

Let $Q$ and $Q^{\prime }$ be two monomial primary ideals of a polynomial algebra $S$ over a field. We give an upper bound for the Stanley depth of $S/(Q\cap Q^{\prime })$ which is reached if $Q$,$Q^{\prime }$ are irreducible. Also we show that Stanley's Conjecture holds for $Q_1\cap Q_2$, $S/(Q_1\cap Q_2\cap Q_3)$, $(Q_i{)}_i$ being some irreducible monomial ideals of $S$.

References in corpus (1)

• Stanley depth of monomial ideals in three variables