Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings

被引：8

作者：

Herzog, Juergen ^{[1
]}

Mohammadi, Fatemeh ^{[2
,3
]}

Page, Janet ^{[2
,4
]}

机构：

[1] Univ Duisburg Essen, Fachbereich Math, D-45117 Essen, Germany

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[3] UiT Arctic Univ Norway, Fac Sci & Technol, Dept Math & Stat, N-9037 Tromso, Norway

[4] Heilbronn Inst Math Res, Bristol, Avon, England

来源：

JOURNAL OF ALGEBRA | 2019年 / 540卷

基金：

英国工程与自然科学研究理事会;

关键词：

Toric varieties; Gorenstein rings; Canonical module; Hibi rings; MODULES; IDEALS; TRACE;

D O I：

10.1016/j.jalgebra.2019.08.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The trace of the canonical module of a Cohen-Macaulay ring describes its non-Gorenstein locus. We study the trace of the canonical module of a Segre product of algebras, and we apply our results to compute the non-Gorenstein locus of tone rings. We provide several sufficient and necessary conditions for Hibi rings and normal semigroup rings to be Gorenstein on the punctured spectrum. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：78 / 99

页数：22

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