Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 5, Pages 63–66 (Mi vmumm3571)  
This article is cited in 10 scientific papers (total in 10 papers)

Mathematics

Varieties of Lie algebras with weak growth of the sequence of codimensions

S. P. Mishchenko
Full-text PDF (508 kB) Citations (10)
Abstract: We prove that any variety of Lie algebras with a sequence of codimensions of multilinear identities which grows “weakly”, in particular as a polynomial, is a subvariety in the variety of all Lie algebras whose commutator subalgebra is nilpotent of class at most $c$, for some fixed integer $c$.
Received: 03.02.1982
Bibliographic databases:
Document Type: Article
UDC: 519.48
Language: Russian
Citation: S. P. Mishchenko, “Varieties of Lie algebras with weak growth of the sequence of codimensions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5, 63–66
Citation in format AMSBIB
\Bibitem{Mis82}
\by S.~P.~Mishchenko
\paper Varieties of Lie algebras with weak growth of the sequence of codimensions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 5
\pages 63--66
\mathnet{http://mi.mathnet.ru/vmumm3571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0679484}
\zmath{https://zbmath.org/?q=an:0517.17006}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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