Email this article Linearly Minimal Jordan Algebras of Characteristic Other Than 2
- Authors: Baisalov E.R.1,2, Al’dzhuie A.2
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Affiliations:
- Gumilyov Eurasian National University
- Department of Mathematics and Statistics, University of Al-Imam
- Issue: Vol 54, No 6 (2016)
- Pages: 421-427
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/233959
- DOI: https://doi.org/10.1007/s10469-016-9364-y
- ID: 233959
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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.
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About the authors
E. R. Baisalov
Gumilyov Eurasian National University; Department of Mathematics and Statistics, University of Al-Imam
Author for correspondence.
Email: baisal59@gmail.com
Kazakhstan, ul. Munaitpasova 5, Astana, 010008; Riyadh, 11623
A. Al’dzhuie
Department of Mathematics and Statistics, University of Al-Imam
Author for correspondence.
Email: joa111@gmail.com
Saudi Arabia, Riyadh, 11623
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