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Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0

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Abstract

An algebra obtained by the external adjoining a unit to a nilalgebra is said to be unitary. It is proved that every simple finite-dimensional right alternative superalgebra with unitary even part over a field of characteristic 0 is associative.

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Authors and Affiliations

  1. Financial University of the Government of the Russian Federation, Moscow, Russia

    S. V. Pchelintsev & O. V. Shashkov

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  1. S. V. Pchelintsev
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  2. O. V. Shashkov
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Correspondence to S. V. Pchelintsev.

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Original Russian Text © S. V. Pchelintsev, O. V. Shashkov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 577–585.

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Pchelintsev, S.V., Shashkov, O.V. Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0. Math Notes 100, 589–596 (2016). https://doi.org/10.1134/S0001434616090303

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  • DOI: https://doi.org/10.1134/S0001434616090303

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