Israel Journal of Mathematics

, Volume 169, Issue 1, pp 295–316

On sequentially Cohen-Macaulay complexes and posets

Article

DOI: 10.1007/s11856-009-0012-2

Cite this article as:
Björner, A., Wachs, M. & Welker, V. Isr. J. Math. (2009) 169: 295. doi:10.1007/s11856-009-0012-2

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.

Copyright information

© Hebrew University Magnes Press 2008

Authors and Affiliations

  • Anders Björner
    • 1
  • Michelle Wachs
    • 2
  • Volkmar Welker
    • 3
  1. 1.Department of MathematicsRoyal Institute of TechnologyStockholmSweden
  2. 2.Department of MathematicsUniversity of MiamiCoral GablesUSA
  3. 3.Fachbereich Mathematik und InformatikUniversität MarburgMarburgGermany