Dualizing complex of a toric face ring

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dc.creatorOkazaki, Ryota
dc.creatorYanagawa, Kohji
dc.date2008-08-31
dc.date.accessioned2026-07-07T09:59:39Z
dc.date.available2026-07-07T09:59:39Z
dc.descriptionA "toric face ring", which generalizes both Stanley-Reisner rings and affine semigroup rings, is studied by Bruns, Roemer and their coauthors recently. In this paper, under the "normality" assumption, we describe a dualizing complex of a toric face ring $R$ in a very concise way. Since $R$ is not a graded ring in general, the proof is not straightforward. We also develop the squarefree module theory over $R$, and show that the Buchsbaum property and the Gorenstein* property of $R$ are topological properties of its associated cell complex.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0809.0095
dc.identifierhttp://arxiv.org/abs/0809.0095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168098
dc.subjectCommutative Algebra
dc.subject13F55; 13D25
dc.titleDualizing complex of a toric face ring
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