Simplicial Trees are Sequentially Cohen-Macaulay

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This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay. The proof involves showing that the Alexander dual (or the cover dual, as we call it here) of a simplicial tree is a componentwise linear ideal. We conclude with additional combinatorial properties of simplicial trees.
15 pages, 15 figures

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Commutative Algebra, Combinatorics, 13;05

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http://salesiana.dossiersoluciones.com/handle/123456789/68397

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308264
 http://arxiv.org/abs/math/0308264

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arXiv