Stanley depth and size of a monomial ideal
Commutative Algebra
2010-12-01 v1
Abstract
Lyubeznik introduced the concept of size of a monomial ideal and showed that the size of a monomial ideal increased by 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.
Keywords
Cite
@article{arxiv.1011.6462,
title = {Stanley depth and size of a monomial ideal},
author = {Jürgen Herzog and Dorin Popescu and Marius Vladoiu},
journal= {arXiv preprint arXiv:1011.6462},
year = {2010}
}