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Algebra i logika, 2015, Volume 54, Number 6, Pages 653–662
DOI: https://doi.org/10.17377/alglog.2015.54.601 (Mi al719) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Linearly minimal Jordan algebras of characteristic other than 2

E. R. Baisalovab, A. Aljouieea

a Department of Mathematics and Statistics, Al-Imam Mohammad Ibn Saud Islamic University, P.O.Box 90950, Riyadh, 11623 Saudi Arabia
b Gumilyov Eurasian National University, ul. Munaitpasova 5, Astana, 010008, Kazakhstan
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DOI: https://doi.org/10.17377/alglog.2015.54.601
Abstract: It is proved that every nontrivial linearly minimal Jordan algebra of characteristic other than 2 is a division algebra. Then Zel'manov's classification of Jordan division algebras is applied to show that such an algebra is a field.
Keywords: Jordan algebra, division algebra, field.
Funding agency Grant number
Imam Mohammed Ibn Saud Islamic University ID 341207 1433
Ministry of Education and Science of the Republic of Kazakhstan 3953/ГФ4
Supported by the Deanship of Scientific Research of the Al-Imam Mohammad Ibn Saud Islamic University, grant ID341207 1433.
Supported by KN MON RK, grant No. 3953/GF 4 (2015–2017).
Received: 25.02.2015
English version:
Algebra and Logic, 2016, Volume 54, Issue 6, Pages 421–427
DOI: https://doi.org/10.1007/s10469-016-9364-y
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: E. R. Baisalov, A. Aljouiee, “Linearly minimal Jordan algebras of characteristic other than 2”, Algebra Logika, 54:6 (2015), 653–662; Algebra and Logic, 54:6 (2016), 421–427
Citation in format AMSBIB
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\vol 54
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\pages 653--662
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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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    		Алгебра и логика Algebra and Logic
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