The facet ideal of a simplicial complex

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dc.creatorFaridi, Sara
dc.date2002-10-07
dc.date.accessioned2026-07-07T04:51:43Z
dc.date.available2026-07-07T04:51:43Z
dc.descriptionTo a simplicial complex, we associate a square-free monomial ideal in the polynomial ring generated by its vertex set over a field. We study algebraic properties of this ideal via combinatorial properties of the simplicial complex. By generalizing the notion of a tree from graphs to simplicial complexes, we show that ideals associated to trees satisfy sliding depth condition, and therefore have normal and Cohen-Macaulay Rees rings. We also discuss connections with the theory of Stanley-Reisner rings.
dc.descriptionTo appear in Manuscripta Mathematica
dc.identifierhttps://arxiv.org/abs/math/0210110
dc.identifierhttp://arxiv.org/abs/math/0210110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65210
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13 (primary), 5 (secondary)
dc.titleThe facet ideal of a simplicial complex
dc.typetext

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