Rings whose CS modules are countably Σ-CS

被引：2

作者：

Er, N ^{[1
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 11期

关键词：

CS module; quasi-injective; continuous;

D O I：

10.1081/AGB-120023971

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A module M is called a CS module if every submodule of M is essential in a direct summand of M. In this paper, among other results, we prove that for a ring R with finitely generated right socle the following are equivalent: i) For every CS right R-module M, M-(N) is CS; ii) R is a right artinian ring with all uniforms Sigma-quasi-injective.

引用

页码：5513 / 5523

页数：11

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