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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 8–13
(Mi vmumm523)
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This article is cited in 12 scientific papers (total in 12 papers)
Mathematics
Equivalent conditions of polynomial growth of a variety of Poisson algebras
S. M. Ratseev Ulyanovsk State University, Faculty of Mathematics and Information Technologies
Abstract:
We present equivalent conditions of the polynomial codimension growth of a variety of Poisson algebras over a field of characteristic zero and show that there are only two varieties of Poisson algebras with almost polynomial growth.
Key words:
Poisson algebra, variety of algebras, growth of a variety.
Received: 16.09.2011
Citation:
S. M. Ratseev, “Equivalent conditions of polynomial growth of a variety of Poisson algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 8–13; Moscow University Mathematics Bulletin, 67:5-6 (2012), 195–199
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https://www.mathnet.ru/eng/vmumm523 https://www.mathnet.ru/eng/vmumm/y2012/i5/p8
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Abstract page: | 153 | Full-text PDF : | 44 | References: | 30 |
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