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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 60–73 (Mi ivm8745)  
This article is cited in 8 scientific papers (total in 8 papers)

Abelian groups with nilpotent commutators of endomorphisms

A. R. Chekhlov

Chair of Algebra, Tomsk State University, Tomsk, Russia
Full-text PDF (286 kB) Citations (8)
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Abstract: 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 amongst 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.
Keywords: commutatorically invariant subgroup, $E$-nilpotent and $E$-solvable groups, $E$-engelian group, power $E$-commutant.
Received: 09.09.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 10, Pages 50–61
DOI: https://doi.org/10.3103/S1066369X12100052
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “Abelian groups with nilpotent commutators of endomorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 60–73; Russian Math. (Iz. VUZ), 56:10 (2012), 50–61
Citation in format AMSBIB
\Bibitem{Che12}
\by A.~R.~Chekhlov
\paper Abelian groups with nilpotent commutators of endomorphisms
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 10
\pages 60--73
\mathnet{http://mi.mathnet.ru/ivm8745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137059}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 10
\pages 50--61
\crossref{https://doi.org/10.3103/S1066369X12100052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869481234}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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