%0 Journal Article
%T Upper bounds for the Stanley depth
%A Muhammad Ishaq
%J Mathematics
%D 2010
%I arXiv
%X Let $I\subset J$ be monomial ideals of a polynomial algebra $S$ over a field. Then the Stanley depth of $J/I$ is smaller or equal with the Stanley depth of $\sqrt{J}/\sqrt{I}$. We give also an upper bound for the Stanley depth of the intersection of two primary monomial ideals $Q$, $Q'$, which is reached if $Q$, $Q'$ are irreducible, ht$(Q+Q')$ is odd and $\sqrt{Q}$, $\sqrt{Q'}$ have no common variable.
%U http://arxiv.org/abs/1003.3471v1