Higher Cohen-Macaulay property of squarefree modules and simplicial posets
Commutative Algebra
2010-01-24 v2
Abstract
Recently, G. Floystad studied "higher Cohen-Macaulay property" of certain finite regular cell complexes. In this paper, we partially extend his results to squarefree modules, toric face rings, and simplicial posets. For example, we show that if (the corresponding cell complex of) a simplicial poset is -Cohen-Macaulay then its codimension one skeleton is -Cohen-Macaulay.
Keywords
Cite
@article{arxiv.1001.3601,
title = {Higher Cohen-Macaulay property of squarefree modules and simplicial posets},
author = {Kohji Yanagawa},
journal= {arXiv preprint arXiv:1001.3601},
year = {2010}
}
Comments
Minor correction. References added. 10 pages