Abelian Groups with Nilpotent Commutators of Endomorphisms

被引：5
|
作者：
Chekhlov, A. R. [1 ]
机构：
[1] Tomsk State Univ, Pr Lenina 36, Tomsk 634050, Russia
来源：
RUSSIAN MATHEMATICS | 2012年 / 56卷 / 10期
关键词：
commutatorically invariant subgroup; E-nilpotent and E-solvable groups; E-engelian group; power E-commutant;
D O I：
10.3103/S1066369X12100052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study classes of abelian groups with nilpotent commutators of their endomorphisms, as well as groups with a semirigid condition imposed on direct summands. We describe these groups among separable, vector, and algebraically compact torsion-free groups. We construct examples illustrating the distinction between considered classes of groups, as well as E-solvable and E-nilpotent groups.
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页码：50 / 61
页数：12
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