Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


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
References:
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
Bibliographic databases:
UDC: 519.4
MSC: 17A99
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “On algebras without proper subalgebras”, Math. USSR-Sb., 33:3 (1977), 375–401
Citation in format AMSBIB
\Bibitem{Art77}
\by V.~A.~Artamonov
\paper On~algebras without proper subalgebras
\jour Math. USSR-Sb.
\yr 1977
\vol 33
\issue 3
\pages 375--401
\mathnet{http://mi.mathnet.ru//eng/sm2948}
\crossref{https://doi.org/10.1070/SM1977v033n03ABEH002429}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485983}
\zmath{https://zbmath.org/?q=an:0373.17002|0397.17003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977GS82800004}
Linking options:
  • https://www.mathnet.ru/eng/sm2948
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024