A construction of unit-regular rings which satisfy (DF)

被引：1
|
作者：
Kutami, M [1 ]
机构：
[1] Yamaguchi Univ, Fac Sci, Dept Math, Yamaguchi 7538512, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 04期
关键词：
von Neumann regular rings; unit-regular rings; direct finiteness; property (DF);
D O I：
10.1081/AGB-120028795
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A (von Neumann) regular ring R is called. to satisfy the property (DF) if every direct sum of two directly finite projective R-modules is directly finite. We give new constructions of unit-regular rings which satisfy the property (DF), by investigating some factor rings of direct products of unit-regular rings.
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页码：1509 / 1517
页数：9
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