Cohen-Macaulay Properties of Square-Free Monomial Ideals
Commutative Algebra
2007-05-23 v2 Combinatorics
Abstract
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-free monomial ideals with Cohen-Macaulay quotients, and a criterion for the Cohen-Macaulayness of facet ideals of simplicial trees. Along the way, we generalize several concepts from graph theory to simplicial complexes.
Cite
@article{arxiv.math/0307403,
title = {Cohen-Macaulay Properties of Square-Free Monomial Ideals},
author = {Sara Faridi},
journal= {arXiv preprint arXiv:math/0307403},
year = {2007}
}
Comments
28 pages, 17 figures