Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 8–13 (Mi vmumm523)  
This article is cited in 12 scientific papers (total in 12 papers)

Mathematics

Equivalent conditions of polynomial growth of a variety of Poisson algebras

S. M. Ratseev

Ulyanovsk State University, Faculty of Mathematics and Information Technologies
Full-text PDF (227 kB) Citations (12)
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Abstract: We present equivalent conditions of the polynomial codimension growth of a variety of Poisson algebras over a field of characteristic zero and show that there are only two varieties of Poisson algebras with almost polynomial growth.
Key words: Poisson algebra, variety of algebras, growth of a variety.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00209а
Received: 16.09.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 5-6, Pages 195–199
DOI: https://doi.org/10.3103/S0027132212050026
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “Equivalent conditions of polynomial growth of a variety of Poisson algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 8–13; Moscow University Mathematics Bulletin, 67:5-6 (2012), 195–199
Citation in format AMSBIB
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\paper Equivalent conditions of polynomial growth of a variety of Poisson algebras
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\pages 8--13
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 5-6
\pages 195--199
\crossref{https://doi.org/10.3103/S0027132212050026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870925839}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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