This article is cited in 2 papers

RESEARCH ARTICLE

On solvable $Z_3$-graded alternative algebras

Maxim Goncharov<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Universidade de São Paulo, Instituto de Matemática e Estatística

Abstract: Let $A=A_0\oplus A_1\oplus A_2$ be an alternative $Z_3$-graded algebra. The main result of the paper is the following: if $A_0$ is solvable and the characteristic of the ground field not equal 2,3 and 5, then $A$ is solvable.

Keywords: alternative algebra, solvable algebra, $Z_3$-graded algebra, subalgebra of fixed points.

Received: 21.09.2014
Revised: 21.09.2014

Language: English

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