Dualizing complexes of seminormal affine semigroup rings and toric face rings

JOURNAL OF ALGEBRA

卷:425

Article

Yanagawa, Kohji

关键词: Affine semigroup ring;    Dualizing complex;    Seminormality;    Toric face ring;    Local cohomology;   

DOI  :  10.1016/j.jalgebra.2014.11.013

来源: Elsevier

【 摘 要 】

We characterize the seminormality of an affine semigroup ring in terms of the dualizing complex, and the normality of a Cohen-Macaulay semigroup ring by the shape of the canonical module. We also characterize the seminormality of a toric face ring in terms of the dualizing complex. A toric face ring is a simultaneous generalization of Stanley-Reisner rings and affine semigroups. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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