On the discrete counterparts of Cohen-Macaulay algebras with straightening laws

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dc.creatorMiyazaki, Mitsuhiro
dc.date2004-10-10
dc.date.accessioned2026-07-07T05:13:08Z
dc.date.available2026-07-07T05:13:08Z
dc.descriptionWe study properties of a poset generating a Cohen-Macaulay algebra with straightening laws (ASL for short). We show that if a poset $P$ generates a Cohen-Macaulay ASL, then $P$ is pure and, if $P$ is moreover Buchsbaum, then $P$ is Cohen-Macaulay. Some results concerning a Rees algebra of an ASL defined by a straightening closed ideal are also established. And it is shown that if $P$ is a Cohen-Macaulay poset with unique minimal element and $Q$ is a poset ideal of $P$, then $P\uplus Q$ is also Cohen-Macaulay.
dc.identifierhttps://arxiv.org/abs/math/0410253
dc.identifierhttp://arxiv.org/abs/math/0410253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72833
dc.subjectCommutative Algebra
dc.subject13F50; 13H10; 13F55; 13P10; 13C15
dc.titleOn the discrete counterparts of Cohen-Macaulay algebras with straightening laws
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