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arXiv · 1011.6462

Stanley depth and size of a monomial ideal

Jürgen Herzog·Dorin Popescu·Marius Vladoiu
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Abstract

Lyubeznik introduced the concept of size of a monomial ideal and showed that the size of a monomial ideal increased by $1$ is a lower bound for its depth. We show that the size is also a lower bound for its Stanley depth. Applying Alexander duality we obtain upper bounds for the regularity and Stanley regularity of squarefree monomial ideals.

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Jürgen Herzog, Dorin Popescu, Marius Vladoiu. 2010-11-30. Stanley depth and size of a monomial ideal. https://arxiv.org/abs/1011.6462

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