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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 2, Pages 203–216 (Mi adm540)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

On solvable $Z_3$-graded alternative algebras

Maxim Goncharovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Universidade de São Paulo, Instituto de Matemática e Estatística
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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.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2013/02039-1
Russian Foundation for Basic Research 12-01-33031
The author was supported by FAPESP(2013/02039-1) and by RFFI (12-01-33031).
Received: 21.09.2014
Revised: 21.09.2014
Bibliographic databases:
Document Type: Article
Language: English
Citation: Maxim Goncharov, “On solvable $Z_3$-graded alternative algebras”, Algebra Discrete Math., 20:2 (2015), 203–216
Citation in format AMSBIB
\Bibitem{Gon15}
\by Maxim~Goncharov
\paper On solvable $Z_3$-graded alternative algebras
\jour Algebra Discrete Math.
\yr 2015
\vol 20
\issue 2
\pages 203--216
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3453813}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378729300003}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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