Cohen-Macaulay Properties of Square-Free Monomial Ideals

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dc.creatorFaridi, Sara
dc.date2003-07-31
dc.date2005-07-12
dc.date.accessioned2026-07-07T04:59:59Z
dc.date.available2026-07-07T04:59:59Z
dc.descriptionIn this paper we study simplicial complexes as higher dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-free monomial ideals with Cohen-Macaulay quotients, and a criterion for the Cohen-Macaulayness of facet ideals of simplicial trees. Along the way, we generalize several concepts from graph theory to simplicial complexes.
dc.description28 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/math/0307403
dc.identifierhttp://arxiv.org/abs/math/0307403
dc.identifierJ. Combin. Theory Ser. A 109 (2005), no. 2, 299--329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68218
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13, 05
dc.titleCohen-Macaulay Properties of Square-Free Monomial Ideals
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