On solvable Z₃-graded alternative algebras

Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded algebra. The main result of the paper is the following: if A0 is solvable and the characteristic of the ground field not equal 2,3 and 5, then A is solvable.

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Bibliographic Details
Date:2015
Main Author: Goncharov, M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155140
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On solvable Z₃-graded alternative algebras / M. Goncharov // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 203-216. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine