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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 3, Pages 349–362
DOI: https://doi.org/10.1070/SM1972v016n03ABEH001430
(Mi sm3128)
 

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

Normal subgroups of the multiplicative group of a ring

A. A. Bovdi, I. I. Khripta
References:
Abstract: In the paper we study the construction of $K$-linearly independent normal subgroups of the multiplicative group $U(R)$ of an algebra $R$ over a ring $K$ of characteristic $p^m$ and their ordering inside the groups $U(R)$. We also describe the group rings whose multiplicative group contains a $K$-linearly independent normal subgroup not belonging to the center and containing an element of finite order. We also study abelian normal subgroups of the multiplicative group of the ring of a $p$-group over a ring of characteristic $p$.
Bibliography: 10 titles.
Received: 16.12.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 87(129), Number 3, Pages 338–350
Bibliographic databases:
UDC: 519.48
MSC: Primary 16A26, 20C05; Secondary 16A32
Language: English
Original paper language: Russian
Citation: A. A. Bovdi, I. I. Khripta, “Normal subgroups of the multiplicative group of a ring”, Mat. Sb. (N.S.), 87(129):3 (1972), 338–350; Math. USSR-Sb., 16:3 (1972), 349–362
Citation in format AMSBIB
\Bibitem{BovKhr72}
\by A.~A.~Bovdi, I.~I.~Khripta
\paper Normal subgroups of the multiplicative group of a~ring
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 87(129)
\issue 3
\pages 338--350
\mathnet{http://mi.mathnet.ru/sm3128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301042}
\zmath{https://zbmath.org/?q=an:0258.16010}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 3
\pages 349--362
\crossref{https://doi.org/10.1070/SM1972v016n03ABEH001430}
Linking options:
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  • https://doi.org/10.1070/SM1972v016n03ABEH001430
  • https://www.mathnet.ru/eng/sm/v129/i3/p338
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:444
    Russian version PDF:160
    English version PDF:20
    References:56
    First page:1
     
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