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.
ReceivedDecember 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
\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}
Linking options:
https://www.mathnet.ru/eng/semr1303
https://www.mathnet.ru/eng/semr/v17/p1571
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