ON THE NONRIGIDITY OF TRACE MODULES

被引：2

作者：

Lindo, Haydee ^{[1
]}

机构：

[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2022年 / 14卷 / 02期

关键词：

trace ideal; trace module; Auslander-Reiten conjecture; rigid module; vanishing of Ext; Gorenstein ring; IDEALS;

D O I：

10.1216/jca.2022.14.277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a link between trace modules and rigidity in modules over Noetherian rings. We identify classes of modules which must have self-extensions and use the theory of trace ideals to verify the Auslander-Reiten conjecture for syzygies of ideals over Artinian Gorenstein rings.

引用

页码：277 / 283

页数：7

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