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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
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
Citation:
A. S. Zakharov, “Gelfand–Dorfman–Novikov–Poisson superalgebras and their envelopes”, Sib. Èlektron. Mat. Izv., 16 (2019), 1843–1855
Linking options:
https://www.mathnet.ru/eng/semr1172 https://www.mathnet.ru/eng/semr/v16/p1843
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