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arXiv · 1511.06974

On the quasi-depth of squarefree monomial ideals and the sdepth of the monomial ideal of independent sets of a graph

Mircea Cimpoeas
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Abstract

If $J\subset I$ are two monomials ideals, we give a practical upper bound for the Stanley depth of $J/I$, which we call it the \emph{quasi-depth} of $J/I$. Also, we compute the quasi-depth of several classes of square free monomial ideals. We also study the Stanley depth of the monomial ideal associated of the independent sets of a graph.

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Mircea Cimpoeas. 2016-03-31. On the quasi-depth of squarefree monomial ideals and the sdepth of the monomial ideal of independent sets of a graph. https://arxiv.org/abs/1511.06974

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