Surjective Quadratic Jordan Algebras

Yerzhan Baissalov; Abdullah Aljouiee

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

Surjective Quadratic Jordan Algebras

Views: 227 / PDF downloads: 129

Authors

Yerzhan Baissalov
Abdullah Aljouiee

DOI:

https://doi.org/10.32523/2077-9879-2020-11-2-19-29

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.

Downloads

Published

2020-06-30

How to Cite

Baissalov, Y., & Aljouiee, A. (2020). Surjective Quadratic Jordan Algebras. Eurasian Mathematical Journal, 11(2), 19–29. https://doi.org/10.32523/2077-9879-2020-11-2-19-29