DEDEKIND-FINITE STRONGLY CLEAN RINGS

被引：4
|
作者：
Camillo, Victor [1 ]
Dorsey, Thomas J. [2 ]
Nielsen, Pace P. [3 ]
机构：
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] Ctr Commun Res, San Diego, CA USA
[3] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 04期
关键词：
Dedekind-finite; Strongly clean ring; Primary; 16E50; Secondary; 16D50; 16D70; 16U99; EXCHANGE;
D O I：
10.1080/00927872.2012.746976
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we partially answer two open questions concerning clean rings. First, we demonstrate that if a quasi-continuous module is strongly clean then it is Dedekind-finite. Second, we prove a partial converse. We also prove that all clean decompositions on submodules of continuous modules extend to the entire module.
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页码：1619 / 1629
页数：11
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