Ye. Baissalov, A. Aljouiee, “Surjective quadratic Jordan algebras”, Eurasian Math. J., 2020, том 11, номер 2,страницы 19

Эта публикация цитируется в 2 статьях

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

Аннотация: 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.

Ключевые слова и фразы: quadratic Jordan algebra, linear minimality, surjectivity.

MSC: 03C60, 17C10

Поступила в редакцию: 10.06.2019

Язык публикации: английский

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