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Algebra i logika, 2013, Volume 52, Number 3, Pages 352–369 (Mi al591)  
This article is cited in 9 scientific papers (total in 9 papers)

Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type

A. S. Zakharovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (201 kB) Citations (9)
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Abstract: It is proved that a Novikov–Poisson algebra whose associative commutative part contains at least one element that is not a zero divisor is embedded in a Novikov–Poisson algebra of vector type. As a consequence, the corresponding Jordan superalgebra is special.
Keywords: Novikov algebra, Novikov–Poisson algebra, Jordan superalgebra, Kantor's double, Poisson bracket, Jordan bracket.
Received: 26.02.2013
Revised: 17.05.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 3, Pages 236–249
DOI: https://doi.org/10.1007/s10469-013-9237-6
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: A. S. Zakharov, “Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type”, Algebra Logika, 52:3 (2013), 352–369; Algebra and Logic, 52:3 (2013), 236–249
Citation in format AMSBIB
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\by A.~S.~Zakharov
\paper Embedding Novikov--Poisson algebras in Novikov--Poisson algebras of vector type
\jour Algebra Logika
\yr 2013
\vol 52
\issue 3
\pages 352--369
\mathnet{http://mi.mathnet.ru/al591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137129}
\transl
\jour Algebra and Logic
\yr 2013
\vol 52
\issue 3
\pages 236--249
\crossref{https://doi.org/10.1007/s10469-013-9237-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000325007400005}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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