Continuous modules are clean

被引：73

作者：

Camillo, V. P.

Khurana, D.

Lam, T. Y.

Nicholson, W. K. ^{[1
]}

Zhou, Y.

机构：

[1] Mem Univ Newfoundland, Dept Math, St John, NF A1C 5S7, Canada

[2] Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[4] Panjab Univ, Dept Math, Chandigarh 160014, India

[5] Univ Iowa, Dept Math, Iowa City, IA 52246 USA

来源：

JOURNAL OF ALGEBRA | 2006年 / 304卷 / 01期

关键词：

clean endomorphism rings; continuous and discrete modules;

D O I：

10.1016/j.jalgebra.2006.06.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R is said to be clean if every element of R is a sum of an idempotent and a unit. The class of clean rings is quite large and includes, for instance, serniperfect rings (and thus finite rings), and rings of linear transformations of vector spaces. We prove that the endomorphism ring of every continuous (or discrete) module is clean. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：94 / 111

页数：18

共 35 条

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