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Algebra i logika, 2000, Volume 39, Number 5, Pages 513–525 (Mi al289)  
This article is cited in 8 scientific papers (total in 8 papers)

Central elements of integral group rings

R. Zh. Aleev
Full-text PDF (982 kB) Citations (8)
Abstract: We study the centers of integral group rings. We introduce the concept of a class character ring and use it to describe the centers of integral groups rings. With each automorphism of a character field we associate the automorphism of the center of an integral group ring. We determine the norm of the central element of an integral group ring, which we use to obtain criteria for the invertibility of central elements.
Received: 17.11.1998
English version:
Algebra and Logic, 2000, Volume 39, Issue 4, Pages 293–300
DOI: https://doi.org/10.1007/BF02681613
Bibliographic databases:
UDC: 512.552.7
Language: Russian
Citation: R. Zh. Aleev, “Central elements of integral group rings”, Algebra Logika, 39:5 (2000), 513–525; Algebra and Logic, 39:4 (2000), 293–300
Citation in format AMSBIB
\Bibitem{Ale00}
\by R.~Zh.~Aleev
\paper Central elements of integral group rings
\jour Algebra Logika
\yr 2000
\vol 39
\issue 5
\pages 513--525
\mathnet{http://mi.mathnet.ru/al289}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805753}
\zmath{https://zbmath.org/?q=an:0979.20004}
\transl
\jour Algebra and Logic
\yr 2000
\vol 39
\issue 4
\pages 293--300
\crossref{https://doi.org/10.1007/BF02681613}
Linking options:
  • https://www.mathnet.ru/eng/al289
  • https://www.mathnet.ru/eng/al/v39/i5/p513
    • 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
    		Алгебра и логика Algebra and Logic
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    Abstract page:359
    Full-text PDF :175
    References:3
    First page:1
     
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