Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 60–73 (Mi ivm8745)  
This article is cited in 10 scientific papers (total in 10 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 (10)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/ivm8745
  • https://www.mathnet.ru/eng/ivm/y2012/i10/p60
    • This publication is cited in the following 10 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)
    Statistics & downloads:
    Abstract page:565
    Full-text PDF :102
    References:78
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024