Abelian groups as UA-modules over their endomorphism ring

被引：0
|
作者：
Chistyakov, D. S. [1 ]
机构：
[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia
来源：
MATHEMATICAL NOTES | 2012年 / 91卷 / 5-6期
关键词：
unique addition module; Abelian group; torsion-free group; quasidecomposition of a group; distributive module; irreducible module; uniserial module; endomorphism ring;
D O I：
10.1134/S0001434612050355
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that V is a module over a ring R. Themodule V is called a unique addition module (UA-module) if it is not possible to change the addition on the set V without changing the action of R on V. In this paper, we find Abelian groups that are UA-modules over their endomorphism ring.
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页码：878 / 884
页数：7
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