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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 1, Pages 19–36
DOI: https://doi.org/10.1070/IM1991v037n01ABEH002049
(Mi im1069)
 

This article is cited in 36 scientific papers (total in 36 papers)

Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra

E. I. Zel'manov, I. P. Shestakov
References:
Abstract: A classification is given of the prime alternative superalgebras. It is shown that the radical of a free alternative algebra over a field of zero characteristic is nilpotent.
Received: 17.11.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 4, Pages 676–693
Bibliographic databases:
UDC: 512.554.5
MSC: Primary 17D05; Secondary 17A70
Language: English
Original paper language: Russian
Citation: E. I. Zel'manov, I. P. Shestakov, “Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra”, Izv. Akad. Nauk SSSR Ser. Mat., 54:4 (1990), 676–693; Math. USSR-Izv., 37:1 (1991), 19–36
Citation in format AMSBIB
\Bibitem{ZelShe90}
\by E.~I.~Zel'manov, I.~P.~Shestakov
\paper Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 4
\pages 676--693
\mathnet{http://mi.mathnet.ru/im1069}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1073082}
\zmath{https://zbmath.org/?q=an:0724.17022|0713.17020}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37...19Z}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 1
\pages 19--36
\crossref{https://doi.org/10.1070/IM1991v037n01ABEH002049}
Linking options:
  • https://www.mathnet.ru/eng/im1069
  • https://doi.org/10.1070/IM1991v037n01ABEH002049
  • https://www.mathnet.ru/eng/im/v54/i4/p676
  • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:635
    Russian version PDF:194
    English version PDF:12
    References:62
    First page:3
     
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