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

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Algebra and Logic Aims and scope

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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. S. Zakharov

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    A. S. Zakharov

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  1. A. S. Zakharov
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Correspondence to A. S. Zakharov.

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Translated from Algebra i Logika, Vol. 52, No. 3, pp. 352-369, May-June, 2013.

*Supported by RFBR (project No. 11-01-00938-a) and by the Federal Program “Scientific and Scientific-Pedagogical Cadres of Innovative Russia” for 2009-2013 (gov. contract No. 14.740.11.0346).

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Zakharov, A.S. Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type. Algebra Logic 52, 236–249 (2013). https://doi.org/10.1007/s10469-013-9237-6

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  • DOI: https://doi.org/10.1007/s10469-013-9237-6

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