On abelian groups with commuting monomorphisms

被引：0
|
作者：
A. R. Chekhlov
机构：
[1] Tomsk State University,
来源：
Siberian Mathematical Journal | 2013年 / 54卷
关键词：
left (right) invariance of monomorphisms; normal endomorphism ring; central idempotent endomorphism;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find necessary and sufficient conditions under which an abelian group with commuting monomorphisms has the endomorphism ring normal. We describe divisible groups with left- or righ-tinvariant monomorphisms and prove that a reduced torsion-free group with left- or right-invariant monomorphisms has the endomorphism ring normal. Necessary and sufficient conditions are indicated for the left and right invariance of monomorphisms from some classes of splitting groups.
引用
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页码：946 / 950
页数：4
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