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ON SEQUENTIALLY COHEN-MACAULAY COMPLEXES AND POSETS
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7497-2764
2009 (English)In: Israel Journal of Mathematics, ISSN 0021-2172, E-ISSN 1565-8511, Vol. 169, no 1, 295-316 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. Vol. 169, no 1, 295-316 p.
Keyword [en]
shellable nonpure complexes, rings
Identifiers
URN: urn:nbn:se:kth:diva-18015DOI: 10.1007/s11856-009-0012-2ISI: 000261261300012Scopus ID: 2-s2.0-57849115925OAI: oai:DiVA.org:kth-18015DiVA: diva2:336060
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Björner, Anders

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