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Sib. Èlektron. Mat. Izv., 2020, Volume 17, Pages 1571–1579 (Mi semr1303)  

Mathematical logic, algebra and number theory

On the Wedderburn's principal theorem in right alternative superalgebras of capacity $1$

O. V. Shashkov

Financial University under the Government of the Russian Federation, 49, Leningradsky ave., Moscow, 125993, Russia

Abstract: The Wedderburn's principal theorem is proved for finite dimensional right alternative superalgebras under the following restrictions: 1) the even part is representable as the sum of a simple noncommutative subalgebra and radical; 2) the superalgebra is an alternative bimodule over its even part.

Keywords: right alternative superalgebra, nilpotent radical.

DOI: https://doi.org/10.33048/semi.2020.17.109

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Bibliographic databases:

UDC: 512.554.5
MSC: 17A70, 17D15
Received December 8, 2019, published September 29, 2020

Citation: O. V. Shashkov, “On the Wedderburn's principal theorem in right alternative superalgebras of capacity $1$”, Sib. Èlektron. Mat. Izv., 17 (2020), 1571–1579

Citation in format AMSBIB
\Bibitem{Sha20}
\by O.~V.~Shashkov
\paper On the Wedderburn's principal theorem in right alternative superalgebras of capacity~$1$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1571--1579
\mathnet{http://mi.mathnet.ru/semr1303}
\crossref{https://doi.org/10.33048/semi.2020.17.109}


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