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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 2, Pages 217–242 (Mi fpm1727)  

This article is cited in 1 scientific paper (total in 1 paper)

Numerical characteristics of varieties of Poisson algebras

S. M. Ratseev

Ulyanovsk State University
Full-text PDF (272 kB) Citations (1)
References:
Abstract: The paper is a survey of recent results of investigations on varieties of Poisson algebras. We give constructions of varieties of Poisson algebras with extremal properties, we give equivalent conditions for the polynomial codimension growth of a variety of Poisson algebras, we study varieties of Poisson algebras whose ideals of identities contain the identity $\{x,y\}\cdot \{z,t\}=0$, and we study an interrelation between such varieties and varieties of Lie algebras.
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 237, Issue 2, Pages 304–322
DOI: https://doi.org/10.1007/s10958-019-4157-1
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “Numerical characteristics of varieties of Poisson algebras”, Fundam. Prikl. Mat., 21:2 (2016), 217–242; J. Math. Sci., 237:2 (2019), 304–322
Citation in format AMSBIB
\Bibitem{Rat16}
\by S.~M.~Ratseev
\paper Numerical characteristics of varieties of Poisson algebras
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 2
\pages 217--242
\mathnet{http://mi.mathnet.ru/fpm1727}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 2
\pages 304--322
\crossref{https://doi.org/10.1007/s10958-019-4157-1}
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  • https://www.mathnet.ru/eng/fpm1727
  • https://www.mathnet.ru/eng/fpm/v21/i2/p217
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Full-text PDF :127
    References:30
     
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