On the Wedderburn's principal theorem in right alternative superalgebras of capacity~$1$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1571-1579

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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.
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     author = {O. V. Shashkov},
     title = {On the {Wedderburn's} principal theorem in right alternative superalgebras of capacity~$1$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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O. V. Shashkov. On the Wedderburn's principal theorem in right alternative superalgebras of capacity~$1$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1571-1579. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a35/