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Eurasian Mathematical Journal, 2020, Volume 11, Number 2, Pages 19–29
DOI: https://doi.org/10.32523/2077-9879-2020-11-2-19-29 (Mi emj362) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Surjective quadratic Jordan algebras

Ye. Baissalova, A. Aljouieeb

a Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St., 010008 Nur-Sultan, Kazakhstan
b Department of Mathematics and Statistics, Al-Imam University, P.O. BOX 90950, 11623 Riyadh, Kingdom of Saudi Arabia
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DOI: https://doi.org/10.32523/2077-9879-2020-11-2-19-29
Abstract: We introduce the concepts of surjectivity and linear minimality for quadratic Jordan algebras, then we present a partial classification of such algebras of characteristic 2. As a corollary, we obtain that in substance non-trivial minimal quadratic Jordan algebras are fields.
Keywords and phrases: quadratic Jordan algebra, linear minimality, surjectivity.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132349
Nazarbayev University Faculty Development Competitive Research Grant 090118FD5342
The first author was partially supported by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan, grant N AP05132349, and also by Nazarbayev University Faculty Development Competitive Research Grant N 090118FD5342.
Received: 10.06.2019
Bibliographic databases:
Document Type: Article
MSC: 03C60, 17C10
Language: English
Citation: Ye. Baissalov, A. Aljouiee, “Surjective quadratic Jordan algebras”, Eurasian Math. J., 11:2 (2020), 19–29
Citation in format AMSBIB
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\by Ye.~Baissalov, A.~Aljouiee
\paper Surjective quadratic Jordan algebras
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 2
\pages 19--29
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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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