Classes of sequentially Cohen-Macaulay squarefree monomial ideals
Commutative Algebra
2011-03-11 v1
Abstract
We compute the minimal primary decomposition for completely squarefree lexsegment ideals. We show that critical squarefree monomial ideals are sequentially Cohen-Macaulay. As an application, we give a complete characterization of the completely squarefree lexsegment ideals which are sequentially Cohen-Macaulay and we also derive formulas for some homological invariants of this class of ideals.
Cite
@article{arxiv.1103.1996,
title = {Classes of sequentially Cohen-Macaulay squarefree monomial ideals},
author = {Oana Olteanu},
journal= {arXiv preprint arXiv:1103.1996},
year = {2011}
}