Higher Cohen-Macaulay property of squarefree modules and simplicial posets

Details Higher Cohen-Macaulay property of squarefree modules and simplicial posets Higher Cohen-Macaulay property of squarefree modules and simplicial posets

2010-01-20

arxiv.org/abs/1001.3601v2

Mathematics

Commutative Algebra

Minor correction. References added. 10 pages

Scientific paper

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
$l$-Cohen-Macaulay then its codimension one skeleton is $(l+1)$-Cohen-Macaulay.

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