On von Neumann regular rings with weak comparability

被引：5

作者：

Kutami, M ^{[1
]}

机构：

[1] Yamaguchi Univ, Fac Sci, Dept Math, Yamaguchi 7538512, Japan

来源：

JOURNAL OF ALGEBRA | 2003年 / 265卷 / 01期

关键词：

von Neumann regular rings; weak comparability; direct finiteness; strict unperforation;

D O I：

10.1016/S0021-8693(03)00258-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1991, K.C. O'Meara first defined the notion of weak comparability for regular rings, and he showed that every simple directly finite regular ring with weak comparability is unit-regular. In this paper, we investigate properties for regular rings with weak comparability, and we show that the strict cancellation property and the strict unperforation property hold for the family of directly finite finitely generated projective modules over these rings. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：285 / 298

页数：14

共 34 条

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