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.

引用

页码：1509 / 1517

页数：9

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