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Algebra and Discrete Mathematics, 2009, Issue 3, Pages 94–101 (Mi adm138)  

This article is cited in 5 scientific papers (total in 5 papers)

RESEARCH ARTICLE

On speciality of Jordan brackets

Ivan. Shestakov

Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brasil and Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Full-text PDF (197 kB) Citations (5)
Abstract: We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.
Keywords: Jordan superalgebra, Jordan bracket, Poisson bracket, special algebra, Kantor double.
Received: 31.08.2009
Revised: 21.09.2009
Bibliographic databases:
Document Type: Article
MSC: 17C50, 17C70, 17A70
Language: English
Citation: Ivan. Shestakov, “On speciality of Jordan brackets”, Algebra Discrete Math., 2009, no. 3, 94–101
Citation in format AMSBIB
\Bibitem{She09}
\by Ivan.~Shestakov
\paper On speciality of Jordan brackets
\jour Algebra Discrete Math.
\yr 2009
\issue 3
\pages 94--101
\mathnet{http://mi.mathnet.ru/adm138}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2640392}
\zmath{https://zbmath.org/?q=an:1185.17024}
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  • https://www.mathnet.ru/eng/adm138
  • https://www.mathnet.ru/eng/adm/y2009/i3/p94
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Algebra and Discrete Mathematics
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