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Mathematics of the USSR-Sbornik, 1977, Volume 33, Issue 3, Pages 375–401
DOI: https://doi.org/10.1070/SM1977v033n03ABEH002429 (Mi sm2948) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On algebras without proper subalgebras

V. A. Artamonov
English version PDF (1710 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1977v033n03ABEH002429
Abstract: This paper deals with finite-dimensional algebras without proper subalgebras over a field. It is shown that if the dimension of such an algebra is a prime, then the automorphism group of the algebra is finite cyclic. Also described, under certain assumptions, are the algebras of prime dimension without subalgebras and with a nontrivial automorphism group.
Bibliography: 28 titles.
Received: 06.12.1976
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1977, Volume 104(146), Number 3(11), Pages 428–459
Bibliographic databases:
UDC: 519.4
MSC: 17A99
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “On algebras without proper subalgebras”, Mat. Sb. (N.S.), 104(146):3(11) (1977), 428–459; Math. USSR-Sb., 33:3 (1977), 375–401
Citation in format AMSBIB
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\by V.~A.~Artamonov
\paper On~algebras without proper subalgebras
\jour Mat. Sb. (N.S.)
\yr 1977
\vol 104(146)
\issue 3(11)
\pages 428--459
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485983}
\zmath{https://zbmath.org/?q=an:0373.17002|0397.17003}
\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 33
\issue 3
\pages 375--401
\crossref{https://doi.org/10.1070/SM1977v033n03ABEH002429}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977GS82800004}
Linking options:
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  • https://doi.org/10.1070/SM1977v033n03ABEH002429
  • https://www.mathnet.ru/eng/sm/v146/i3/p428
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:303
    Russian version PDF:103
    English version PDF:9
    References:58
    First page:2
     
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