Maxim Goncharov, “On solvable $Z_3$-graded alternative algebras”, Algebra Discrete Math., 2015, том 20, выпуск 2,страницы 203

Эта публикация цитируется в 2 статьях

RESEARCH ARTICLE

On solvable $Z_3$-graded alternative algebras

Maxim Goncharov^ab

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

Аннотация: 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.

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

Поступила в редакцию: 21.09.2014
Исправленный вариант: 21.09.2014

Язык публикации: английский