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

页码：926 / 934

页数：9

共 50 条

[1] Commutator Invariant Subgroups of Abelian Groups
A. R. Chekhlov
[J]. Siberian Mathematical Journal, 2010, 51 : 926 - 934
[2] Groups {S, T} whose commutator subgroups are abelian
Brahana, H. R.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1933, 35 (1-4) : 386 - 396
[3] ON 2-KNOT GROUPS WITH ABELIAN COMMUTATOR SUBGROUPS
YOSHIKAWA, K
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 92 (02) : 305 - 310
[4] On projective invariant subgroups of Abelian groups
Chekhlov A.R.
[J]. Journal of Mathematical Sciences, 2010, 164 (1) : 143 - 147
[5] On strongly invariant subgroups of Abelian groups
Chekhlov, A. R.
[J]. MATHEMATICAL NOTES, 2017, 102 (1-2) : 105 - 110
[6] On strongly invariant subgroups of Abelian groups
A. R. Chekhlov
[J]. Mathematical Notes, 2017, 102 : 105 - 110
[7] ON PROJECTIVE INVARIANT SUBGROUPS OF ABELIAN GROUPS
Chekhlov, A. R.
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2009, (05): : 31 - +
[8] Intermediately fully invariant subgroups of abelian groups
A. R. Chekhlov
[J]. Siberian Mathematical Journal, 2017, 58 : 907 - 914
[9] Intermediately fully invariant subgroups of abelian groups
Chekhlov, A. R.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (05) : 907 - 914
[10] Properties of Projective Invariant Subgroups of Abelian Groups
Chekhlov, A. R.
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2008, (02): : 76 - 82

← 1 2 3 4 5 →