MODULES FOR WHICH EVERY NON-COSINGULAR SUBMODULE IS A SUMMAND

被引：0
|
作者：
Talebi, Y. [1 ]
Hosseinpour, M. [1 ]
Hamzekolaee, A. R. Moniri [1 ]
机构：
[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 03期
关键词：
Non-cosingular submodule; amply supplemented module; NS-module;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A module M is lifting if and only if M is amply supplemented and every coclosed submodule of M is a direct summand. In this paper, we are interested in a generalization of lifting modules by removing the condition "amply supplemented" and just focus on modules such that every non-cosingular submodule of them is a summand. We call these modules NS. We investigate some general properties of NS-modules. Several examples are provided to separate different concepts. It is shown that every non-cosingular NS-module is a direct sum of indecomposable modules. We also discuss on finite direct sums of NS-modules.
引用
收藏
页码：911 / 922
页数：12
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