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arXiv · 1512.08195

On the Stanley depth of powers of some classes of monomial ideals

Mircea Cimpoeas
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Abstract

Given arbitrary monomial ideals $I$ and $J$ in polynomial rings $A$ and $B$ over a field $K$, we investigate the Stanley depth of powers of the sum $I+J$, and their quotient rings, in $A\otimes_K B$ in terms of those of $I$ and $J$. Our results can be used to study the asymptotic behavior of the Stanley depth of powers of a monomial ideal. For instance, we solved the case of monomial complete intersection.

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Mircea Cimpoeas. 2015-12-27. On the Stanley depth of powers of some classes of monomial ideals. https://doi.org/10.1007/s41980-018-0049-2

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