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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 69–80 (Mi fpm1028)  

This article is cited in 3 scientific papers (total in 3 papers)

Semisimple rings on completely decomposable Abelian groups

E. I. Kompantseva

Moscow State Pedagogical University
Full-text PDF (154 kB) Citations (3)
References:
Abstract: An Abelian group is said to be semisimple if it is the additive group of some semisimple associative ring. The problem of description of semisimple groups was formulated by Beaumont and Lawver; later this problem was reduced to the case of reduced groups. In this paper, we describe semisimple groups in the class of countable completely decomposable groups.
Received: 01.05.2006
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 3, Pages 324–332
DOI: https://doi.org/10.1007/s10958-008-9183-3
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: E. I. Kompantseva, “Semisimple rings on completely decomposable Abelian groups”, Fundam. Prikl. Mat., 13:3 (2007), 69–80; J. Math. Sci., 154:3 (2008), 324–332
Citation in format AMSBIB
\Bibitem{Kom07}
\by E.~I.~Kompantseva
\paper Semisimple rings on completely decomposable Abelian groups
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 3
\pages 69--80
\mathnet{http://mi.mathnet.ru/fpm1028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2322991}
\zmath{https://zbmath.org/?q=an:1166.20048}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 3
\pages 324--332
\crossref{https://doi.org/10.1007/s10958-008-9183-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54849408546}
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  • https://www.mathnet.ru/eng/fpm/v13/i3/p69
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:380
    Full-text PDF :152
    References:66
    First page:1
     
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