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This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/semr1303 https://www.mathnet.ru/eng/semr/v17/p1571
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