On solvable \(Z_3\)-graded alternative algebras

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

Saved in:
Bibliographic Details
Date:2016
Main Author: Goncharov, Maxim
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics