On exchange QB∞-Rings

被引：2
|
作者：
Chen, Huanyin [1 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410006, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2007年 / 14卷 / 04期
关键词：
QB(infinity)-rings; exchange rings; diagonal reduction;
D O I：
10.1142/S1005386707000569
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new class of rings, the QB(infinity)-rings. We investigate necessary and sufficient conditions under which an exchange ring is a QB(infinity)-ring. The modules over an exchange QB(infinity)-ring are studied. Also, we prove that every regular square matrix over an exchange QB(infinity)-ring admits a diagonal reduction by pseudo-invertible matrices.
引用
收藏
页码：613 / 623
页数：11
相关论文
共 50 条
12345