Abelian groups as UA-modules over their endomorphism ring

被引:0
|
作者
D. S. Chistyakov
机构
[1] Nizhnii Novgorod State University,
来源
Mathematical Notes | 2012年 / 91卷
关键词
unique addition module; Abelian group; torsion-free group; quasidecomposition ofa group; distributive module; irreducible module; uniserial module; endomorphism ring;
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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:6
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