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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 1, Pages 109–118
DOI: https://doi.org/10.1070/SM1990v065n01ABEH001142 (Mi sm1772) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Varieties of residually finite Lie algebras

A. A. Premet, K. N. Semenov
English version PDF (700 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/SM1990v065n01ABEH001142
Abstract: Lie algebras over a finite field of characteristic $p>3$ are studied. It is proved that all algebras of a variety of Lie algebras are residually finite if and only if the variety is generated by a finite algebra all of whose nilpotent subalgebras are Abelian.
Bibliography: 14 titles.
Received: 18.04.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 137(179), Number 1(9), Pages 103–113
Bibliographic databases:
UDC: 512.544.31
MSC: Primary 17B05, 17B30; Secondary 17B20, 17B40
Language: English
Original paper language: Russian
Citation: A. A. Premet, K. N. Semenov, “Varieties of residually finite Lie algebras”, Mat. Sb. (N.S.), 137(179):1(9) (1988), 103–113; Math. USSR-Sb., 65:1 (1990), 109–118
Citation in format AMSBIB
\Bibitem{PreSem88}
\by A.~A.~Premet, K.~N.~Semenov
\paper Varieties of residually finite Lie~algebras
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 137(179)
\issue 1(9)
\pages 103--113
\mathnet{http://mi.mathnet.ru/sm1772}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965882}
\zmath{https://zbmath.org/?q=an:0677.17017|0662.17013}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 1
\pages 109--118
\crossref{https://doi.org/10.1070/SM1990v065n01ABEH001142}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:44
     
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