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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 36–39
(Mi vmumm671)
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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
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.
Received: 30.06.2010
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
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https://www.mathnet.ru/eng/vmumm671 https://www.mathnet.ru/eng/vmumm/y2011/i2/p36
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Abstract page: | 80 | Full-text PDF : | 26 |
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