Stanley depth of complete intersection monomial ideals and upper-discrete partitions

Details Stanley depth of complete intersection monomial ideals and upper-discrete partitions Stanley depth of complete intersection monomial ideals and upper-discrete partitions

2008-05-29

arxiv.org/abs/0805.4461v2

Mathematics

Commutative Algebra

Updated version. 9 pages. To appear in Journal of Algebra

Scientific paper

Let $I$ be an $m$-generated complete intersection monomial ideal in
$S=K[x_1,...,x_n]$. We show that the Stanley depth of $I$ is
$n-\floor{\frac{m}{2}}$. We also study the upper-discrete structure for
monomial ideals and prove that if $I$ is a squarefree monomial ideal minimally
generated by 3 elements, then the Stanley depth of $I$ is $n-1$.

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