On Sequentially Cohen-Macaulay Complexes and Posets

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dc.creatorBjörner, Anders
dc.creatorWachs, Michelle
dc.creatorWelker, Volkmar
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:51Z
dc.date.available2026-07-07T07:48:51Z
dc.descriptionThe 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.
dc.description1 Figure
dc.identifierhttps://arxiv.org/abs/math/0702788
dc.identifierhttp://arxiv.org/abs/math/0702788
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124643
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05E99
dc.titleOn Sequentially Cohen-Macaulay Complexes and Posets
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