On sequentially Cohen-Macaulay complexes and posets

Anders Björner, Michelle Wachs, Volkmar Welker

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

The classes of sequentially Cohen-Macaulay and sequentially homotopy Cohen-Macaulay complexes and posets are studied. First, some different versions of the definitions are discussed and the homotopy type is determined. Second, it is shown how various constructions, such as join, product and rank-selection preserve these properties. Third, a characterization of sequential Cohen-Macaulayness for posets is given. Finally, in an appendix we outline connections with ring-theory and survey some uses of sequential Cohen-Macaulayness in commutative algebra.

Original languageEnglish (US)
Pages (from-to)295-316
Number of pages22
JournalIsrael Journal of Mathematics
Volume169
Issue number1
DOIs
StatePublished - Jan 1 2009

ASJC Scopus subject areas

  • Mathematics(all)

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