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Differentiably simple alternative algebras

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Differentiably simple alternative nonassociative algebras of characteristic p > 0 are described in terms of differentiably simple associative commutative algebras. Also we look at some properties of differentiably simple alternative nonassociative algebras of characteristic 0.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. A. Popov

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

    A. A. Popov

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  1. A. A. Popov
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Correspondence to A. A. Popov.

Additional information

Supported by RFBR (project No. 09-01-00157), by the Federal Program “Scientific and Scientific-Pedagogical Cadres of Innovative Russia” (gov. contracts No. 02.740.11.5191 and 14.740.11.0346), and by the Grants Council (under RF President) (grants NSh-3669.2010.1 and MD-2438.2009.1).

Translated from Algebra i Logika, Vol. 49, No. 5, pp. 670–689, September–October, 2010.

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Popov, A.A. Differentiably simple alternative algebras. Algebra Logic 49, 456–469 (2010). https://doi.org/10.1007/s10469-010-9109-2

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  • DOI: https://doi.org/10.1007/s10469-010-9109-2

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