Surjective Quadratic Jordan Algebras

Yerzhan Baissalov; Abdullah Aljouiee

Surjective Quadratic Jordan Algebras

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Authors

Yerzhan Baissalov
Abdullah Aljouiee

Keywords:

quadratic Jordan algebra, linear minimality, surjectivity

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.

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Published

2024-05-29

How to Cite

Baissalov, Y., & Aljouiee, A. (2024). Surjective Quadratic Jordan Algebras. Eurasian Mathematical Journal, 11(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/175