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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 2(22), Pages 57–59
(Mi vtgu306)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
On some varieties of Leibniz–Poisson algebras with extreme properties
S. M. Ratseeva, O. I. Cherevatenkob a Ulyanovsk State University
b Ulyanovsk State I. N. Ulyanov Pedagogical University
Abstract:
Some varieties of Leibniz–Poisson algebras with extreme properties are presented. We give the least variety of Leibniz–Poisson algebras in which no Leibniz standard identities are valid.
Keywords:
Poisson algebra, Leibniz–Poisson algebra, variety of algebras, growth of a variety.
Received: 21.10.2012
Citation:
S. M. Ratseev, O. I. Cherevatenko, “On some varieties of Leibniz–Poisson algebras with extreme properties”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 2(22), 57–59
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https://www.mathnet.ru/eng/vtgu306 https://www.mathnet.ru/eng/vtgu/y2013/i2/p57
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Abstract page: | 201 | Full-text PDF : | 57 | References: | 53 | First page: | 1 |
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