Commutator Invariant Subgroups of Abelian Groups

被引：6
作者：
Chekhlov, A. R. [1 ]
机构：
[1] Tomsk VV Kuibyshev State Univ, Tomsk 634050, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2010年 / 51卷 / 05期
关键词：
endomorphism ring; fully invariant subgroup; commutator of an endomorphism; E-center; E-commutant;
D O I：
10.1007/s11202-010-0092-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the commutator invariant subgroups of a nonreduced abelian group. We find out when all commutator invariant subgroups of a separable group and an algebraically compact torsion-free group are fully invariant and describe the E-centers and E-commutants of these and some other groups.
引用
收藏
页码：926 / 934
页数：9
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