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This article is cited in 7 scientific papers (total in 7 papers)
Differentiably simple alternative algebras
A. A. Popovab a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
Differentiably simple alternative nonassociative algebras of characteristic $p>0$ are described in terms of differentiably simple associative commutative algebras. Also we look at some properties of differentiably simple alternative nonassociative algebras of characteristic $0$.
Keywords:
alternative algebra, Cayley–Dixon ring, Cayley–Dixon algebra, derivation, differentiably simple algebra.
Received: 26.11.2009
Citation:
A. A. Popov, “Differentiably simple alternative algebras”, Algebra Logika, 49:5 (2010), 670–689; Algebra and Logic, 49:5 (2010), 456–469
Linking options:
https://www.mathnet.ru/eng/al460 https://www.mathnet.ru/eng/al/v49/i5/p670
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Abstract page: | 314 | Full-text PDF : | 104 | References: | 50 | First page: | 10 |
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