Ye. Baissalov, A. Aljouiee, “Surjective quadratic Jordan algebras”, Eurasian Math. J., 2020, Volume 11, Number 2,Pages <nobr>19

This article is cited in 2 papers

Surjective quadratic Jordan algebras

Ye. Baissalov^a, A. Aljouiee^b

^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

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.

MSC: 03C60, 17C10

Received: 10.06.2019

Language: English

DOI: 10.32523/2077-9879-2020-11-2-19-29