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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 1, Pages 25–30
(Mi vmumm748)
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This article is cited in 5 scientific papers (total in 5 papers)
Mathematics
Varieties of linear algebras with colength one
S. P. Mishchenko Ulyanovsk State University
Abstract:
In the case of characteristic zero it is proved that there exist exactly three varieties of linear algebras with the colength equal to one for all degrees. Those are the the variety of all associative-commutative algebras, the variety of all metabelian Lie algebras, and the variety of solube Jordan algebras of the step 2 with the identity $x^2x\equiv 0.$
Key words:
identities, nonassociative algebras, colength.
Received: 09.10.2008
Citation:
S. P. Mishchenko, “Varieties of linear algebras with colength one”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1, 25–30
Linking options:
https://www.mathnet.ru/eng/vmumm748 https://www.mathnet.ru/eng/vmumm/y2010/i1/p25
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Abstract page: | 77 | Full-text PDF : | 23 |
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