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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 2(22), Pages 57–59 (Mi vtgu306)  

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
Full-text PDF (261 kB) Citations (2)
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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
Document Type: Article
UDC: 512.572
Language: Russian
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
Citation in format AMSBIB
\Bibitem{RatChe13}
\by S.~M.~Ratseev, O.~I.~Cherevatenko
\paper On some varieties of Leibniz--Poisson algebras with extreme properties
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 2(22)
\pages 57--59
\mathnet{http://mi.mathnet.ru/vtgu306}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Томского государственного университета. Математика и механика
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    References:53
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