Modules over Endomorphism Rings

被引：0
作者：
A. A. Tuganbaev
机构：
[1] Moscow Power Engineering Institute,
来源：
Mathematical Notes | 2004年 / 75卷
关键词：
endomorphism ring; distributive ring; Bezout module; quasiinjective module;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proved that A is a right distributive ring if and only if all quasiinjective right A-modules are Bezout left modules over their endomorphism rings if and only if for any quasiinjective right A-module M which is a Bezout left End (M)-module, every direct summand N of M is a Bezout left End(N)-module. If A is a right or left perfect ring, then all right A-modules are Bezout left modules over their endomorphism rings if and only if all right A-modules are distributive left modules over their endomorphism rings if and only if A is a distributive ring.
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页码：836 / 847
页数：11
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