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.

引用

页码：878 / 884

页数：7

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