Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 1, Pages 25–30 (Mi vmumm748)  
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
Full-text PDF (236 kB) Citations (5)
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.
Funding agency Grant number
Russian Foundation for Basic Research 07-01-00080
Received: 09.10.2008
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. P. Mishchenko, “Varieties of linear algebras with colength one”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1, 25–30
Citation in format AMSBIB
\Bibitem{Mis10}
\by S.~P.~Mishchenko
\paper Varieties of linear algebras with colength one
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 1
\pages 25--30
\mathnet{http://mi.mathnet.ru/vmumm748}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664141}
\zmath{https://zbmath.org/?q=an:1304.17002}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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