Trace ideals and centers of endomorphism rings of modules over commutative rings

被引：34
|
作者：
Lindo, Haydee [1 ]
机构：
[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA
来源：
JOURNAL OF ALGEBRA | 2017年 / 482卷
关键词：
Trace ideal; Endomorphism ring; Balanced module; DOUBLE CENTRALIZERS; DOMINANT DIMENSION; GORENSTEIN RINGS;
D O I：
10.1016/j.jalgebra.2016.10.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a commutative Noetherian ring and M a finitely generated R-module. Under various hypotheses, it is proved that the center of End(R)(M) coincides with the endomorphism ring of the trace ideal of M. These results are exploited to establish results for balanced and rigid modules, and to settle certain cases of a conjecture of Huneke and Wiegand. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：102 / 130
页数：29
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