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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 4, Pages 549–565
DOI: https://doi.org/10.1070/SM1981v040n04ABEH001852 (Mi sm2739) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Absolute zero divisors in Jordan pairs and Lie algebras

E. I. Zel'manov
English version PDF (1156 kB) Citations (18)
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DOI: https://doi.org/10.1070/SM1981v040n04ABEH001852
Abstract: The following theorem is proved.
Theorem. A Lie algebra over a ring $\Phi\ni1/6,$ generated by a finite set of elements of second order$,$ is nilpotent.
Bibliography: 6 titles.
Received: 05.03.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 112(154), Number 4(8), Pages 611–629
Bibliographic databases:
UDC: 519.46
MSC: 17C50, 17B30
Language: English
Original paper language: Russian
Citation: E. I. Zel'manov, “Absolute zero divisors in Jordan pairs and Lie algebras”, Mat. Sb. (N.S.), 112(154):4(8) (1980), 611–629; Math. USSR-Sb., 40:4 (1981), 549–565
Citation in format AMSBIB
\Bibitem{Zel80}
\by E.~I.~Zel'manov
\paper Absolute zero divisors in Jordan pairs and Lie algebras
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 112(154)
\issue 4(8)
\pages 611--629
\mathnet{http://mi.mathnet.ru/sm2739}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587040}
\zmath{https://zbmath.org/?q=an:0467.17005|0442.17003}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 4
\pages 549--565
\crossref{https://doi.org/10.1070/SM1981v040n04ABEH001852}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW11700005}
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  • https://doi.org/10.1070/SM1981v040n04ABEH001852
  • https://www.mathnet.ru/eng/sm/v154/i4/p611
    • This publication is cited in the following 18 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:476
    Russian version PDF:157
    English version PDF:12
    References:69
    First page:2
     
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