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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 3, Pages 33–39 (Mi ivm8878)  
This article is cited in 4 scientific papers (total in 4 papers)

Necessary and sufficient conditions of polynomial growth of varieties of Leibniz–Poisson algebras

S. M. Ratseev

Chair of Information Security and Control Theory, Ulyanovsk State University, 42 L. Tolstoy str., Ulyanovsk, 432017 Russia
Full-text PDF (176 kB) Citations (4)
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Abstract: Poisson algebras are special cases of Leibniz–Poisson algebras. We give equivalent conditions of the polynomial codimension growth of a variety of Leibniz–Poisson algebras over a field of characteristic zero. We show all varieties of Leibniz–Poisson algebras with almost polynomial growth in one class of varieties.
Keywords: Poisson algebra, Leibniz–Poisson algebra, variety of algebras, growth of a variety.
Received: 13.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 3, Pages 26–30
DOI: https://doi.org/10.3103/S1066369X14030037
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “Necessary and sufficient conditions of polynomial growth of varieties of Leibniz–Poisson algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 3, 33–39; Russian Math. (Iz. VUZ), 58:3 (2014), 26–30
Citation in format AMSBIB
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\by S.~M.~Ratseev
\paper Necessary and sufficient conditions of polynomial growth of varieties of Leibniz--Poisson algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 3
\pages 33--39
\mathnet{http://mi.mathnet.ru/ivm8878}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 3
\pages 26--30
\crossref{https://doi.org/10.3103/S1066369X14030037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898966839}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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