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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 1, Pages 72–77
(Mi iigum7)
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This article is cited in 1 scientific paper (total in 1 paper)
On metabelian varieties of Leibniz–Poisson algebras
S. M. Ratseeva, O. I. Cherevatenkob
a Ulyanovsk State University, 432017, Ulyanovsk, Lev Tolstoy, 42
b Ulyanovsk State I. N. Ulyanov Pedagogical University,
Ploshchad’ 100-letiya so dnya rozhdeniya V. I. Lenina, 4
Abstract:
In this paper we give algebra constructions that generate the metabelian variety of Leibniz–Poisson algebras with the identity $\{ x, y \} \cdot \{z, t \} = 0$. We give the asymptotic description of the metabelian varieties.
Keywords:
Poisson algebra, Leibniz–Poisson algebra, variety of algebras, growth of variety.
Citation:
S. M. Ratseev, O. I. Cherevatenko, “On metabelian varieties of Leibniz–Poisson algebras”, Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 72–77
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https://www.mathnet.ru/eng/iigum7 https://www.mathnet.ru/eng/iigum/v6/i1/p72
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