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Mathematics of the USSR-Sbornik, 1989, Volume 64, Issue 2, Pages 495–504
DOI: https://doi.org/10.1070/SM1989v064n02ABEH003322 (Mi sm1756) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Residual finiteness and the Noetherian property of finitely generated Lie algebras

M. V. Zaicev
English version PDF (678 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM1989v064n02ABEH003322
Abstract: A description of locally Noetherian varieties of Lie algebras over a field of characteristic zero is obtained. Also described are the locally residually finite subvarieties of special, locally solvable, and some other varieties of Lie algebras over an infinite field of positive characteristic. Sufficient conditions for the residual finiteness and Noetherian property of finitely generated Lie algebras are found.
Bibliography: 13 titles.
Received: 21.01.1987
Bibliographic databases:
UDC: 512
MSC: Primary 17B05; Secondary 17B30
Language: English
Original paper language: Russian
Citation: M. V. Zaicev, “Residual finiteness and the Noetherian property of finitely generated Lie algebras”, Math. USSR-Sb., 64:2 (1989), 495–504
Citation in format AMSBIB
\Bibitem{Zai88}
\by M.~V.~Zaicev
\paper Residual finiteness and the Noetherian property of finitely generated Lie~algebras
\jour Math. USSR-Sb.
\yr 1989
\vol 64
\issue 2
\pages 495--504
\mathnet{http://mi.mathnet.ru//eng/sm1756}
\crossref{https://doi.org/10.1070/SM1989v064n02ABEH003322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965889}
\zmath{https://zbmath.org/?q=an:0677.17016|0657.17018}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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