This article is cited in 7 papers

Differentiably simple alternative algebras

A. A. Popov<sup>ab

a</sup> 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.

UDC: 512.554.5

Received: 26.11.2009

 English version: Algebra and Logic, 2010, 49:5, 456–469

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