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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1843–1855
DOI: https://doi.org/10.33048/semi.2019.16.131
(Mi semr1172)
 

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

Gelfand–Dorfman–Novikov–Poisson superalgebras and their envelopes

A. S. Zakharovab

a Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
b Novosibirsk State Technical University, 20, K. Marksa ave., Novosibirsk, 630073, Russia
Full-text PDF (175 kB) Citations (3)
References:
Abstract: We prove some result of $\mathcal{GDNP}$–algebras for $\mathcal{GDNP}$–superalgebras and embeding some $\mathcal{GDNP}$–superalgebras into $\mathcal{GDNP}$–superalgebras of vector type. Also we prove that not every $\mathcal{GDNP}$–superalgebra can be embeded into associative supercommutative superalgebra with even derivation $D$ and product given by $a\circ b=a D(b)$.
Keywords: Gelfand-Dorfman-Novikov-Poisson superalgebras, derivations of algebras, Jordan superalgebras.
Received September 24, 2019, published December 5, 2019
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 17A70
Language: Russian
Citation: A. S. Zakharov, “Gelfand–Dorfman–Novikov–Poisson superalgebras and their envelopes”, Sib. Èlektron. Mat. Izv., 16 (2019), 1843–1855
Citation in format AMSBIB
\Bibitem{Zak19}
\by A.~S.~Zakharov
\paper Gelfand--Dorfman--Novikov--Poisson superalgebras and their envelopes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1843--1855
\mathnet{http://mi.mathnet.ru/semr1172}
\crossref{https://doi.org/10.33048/semi.2019.16.131}
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  • https://www.mathnet.ru/eng/semr/v16/p1843
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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