Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 36–39 (Mi vmumm671)  
This article is cited in 16 scientific papers (total in 16 papers)

Mathematics

A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras

A. B. Verevkina, M. V. Zaicevb, S. P. Mishchenkoa

a Ulyanovsk State University
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (159 kB) Citations (16)
Abstract: Numerical characteristics of identities of Lie algebras are studied in the paper. We prove the existence of fractional PI-exponent for one known earlier Lie algebra soluble of length three.
Key words: identities, codimensions, fractional exponential growth.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00303-а
10-01-00209-а.
Received: 30.06.2010
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 2, Pages 86–89
DOI: https://doi.org/10.3103/S0027132211020069
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: A. B. Verevkin, M. V. Zaicev, S. P. Mishchenko, “A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 36–39; Moscow University Mathematics Bulletin, 66:2 (2011), 86–89
Citation in format AMSBIB
\Bibitem{VerZaiMis11}
\by A.~B.~Verevkin, M.~V.~Zaicev, S.~P.~Mishchenko
\paper A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 2
\pages 36--39
\mathnet{http://mi.mathnet.ru/vmumm671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882192}
\zmath{https://zbmath.org/?q=an:1304.17006}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 2
\pages 86--89
\crossref{https://doi.org/10.3103/S0027132211020069}
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