Geodesic
Surjective quadratic Jordan algebras
Eurasian mathematical journal, Tome 11 (2020) no. 2, pp. 19-29.

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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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Ye. Baissalov; A. Aljouiee. Surjective quadratic Jordan algebras. Eurasian mathematical journal, Tome 11 (2020) no. 2, pp. 19-29. http://geodesic.mathdoc.fr/item/EMJ_2020_11_2_a2/

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