SURJECTIVE QUADRATIC JORDAN ALGEBRAS

Ye Baissalov; A. Aljouiee; Al-Imam University

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

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Journal article

SURJECTIVE QUADRATIC JORDAN ALGEBRAS

Ye Baissalov, A. Aljouiee and Al-Imam University

EURASIAN MATHEMATICAL JOURNAL, Vol.11(2), pp.19-29

01/01/2020

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

Abstract

Mathematics

Physical Sciences

Science & Technology

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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Title: SURJECTIVE QUADRATIC JORDAN ALGEBRAS
Creators - without role: Ye Baissalov - LN Gumilyov Eurasian Natl Univ, Dept Mech & Math, 5 Munaitpasov St, Nur Sultan 010008, Kazakhstan
A. Aljouiee - Al Imam Univ, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia
Al-Imam University
Publication Details: EURASIAN MATHEMATICAL JOURNAL, Vol.11(2), pp.19-29
Publisher: L N Gumilyov Eurasian Natl Univ
Number of pages: 11
Grant note: N AP05132349 / Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan; Government of the Republic of Kazakhstan; Ministry of Education and Science of the Republic of Kazakhstan N 090118FD5342 / Nazarbayev University Faculty Development Competitive Research Grant
Identifiers: 9916644908331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article