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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 5, Pages 63–66
(Mi vmumm3571)
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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
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
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
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Abstract page: | 73 | Full-text PDF : | 21 |
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