ON SEQUENTIALLY COHEN-MACAULAY COMPLEXES AND POSETS
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
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.
shellable nonpure complexes, rings
IdentifiersURN: urn:nbn:se:kth:diva-18015DOI: 10.1007/s11856-009-0012-2ISI: 000261261300012ScopusID: 2-s2.0-57849115925OAI: oai:DiVA.org:kth-18015DiVA: diva2:336060
QC 201005252010-08-052010-08-052010-12-14Bibliographically approved