Stanley decompositions and partitionable simplicial complexes

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We study Stanley decompositions and show that Stanley's conjecture on Stanley decompositions implies his conjecture on partitionable Cohen-Macaulay simplicial complexes. We also prove these conjectures for all Cohen-Macaulay monomial ideals of codimension 2 and all Gorenstein monomial ideals of codimension 3.
10 pages

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Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/121942

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612848
 http://arxiv.org/abs/math/0612848

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arXiv