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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 5, Pages 1163–1174 (Mi smj2153)  
This article is cited in 13 scientific papers (total in 13 papers)

Commutator invariant subgroups of abelian groups

A. R. Chekhlov

Tomsk State University, Tomsk, Russia
Full-text PDF (337 kB) Citations (13)
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Abstract: 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.
Keywords: endomorphism ring, fully invariant subgroup, commutator of an endomorphism, $E$-center, $E$-commutant.
Received: 15.02.2010
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 5, Pages 926–934
DOI: https://doi.org/10.1007/s11202-010-0092-6
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “Commutator invariant subgroups of abelian groups”, Sibirsk. Mat. Zh., 51:5 (2010), 1163–1174; Siberian Math. J., 51:5 (2010), 926–934
Citation in format AMSBIB
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\by A.~R.~Chekhlov
\paper Commutator invariant subgroups of abelian groups
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\vol 51
\issue 5
\pages 1163--1174
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\issue 5
\pages 926--934
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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