E. R. Baisalov, A. Aljouiee, “Linearly minimal Jordan algebras of characteristic other than 2”, Algebra Logika, 2015, Volume 54, Number 6,Pages <nobr>653

This article is cited in 1 paper

Linearly minimal Jordan algebras of characteristic other than 2

E. R. Baisalov^ab, A. Aljouiee^a

^a Department of Mathematics and Statistics, Al-Imam Mohammad Ibn Saud Islamic University, P.O.Box 90950, Riyadh, 11623 Saudi Arabia
^b Gumilyov Eurasian National University, ul. Munaitpasova 5, Astana, 010008, Kazakhstan

Abstract: It is proved that every nontrivial linearly minimal Jordan algebra of characteristic other than 2 is a division algebra. Then Zel'manov's classification of Jordan division algebras is applied to show that such an algebra is a field.

Keywords: Jordan algebra, division algebra, field.

UDC: 510.67

Received: 25.02.2015

DOI: 10.17377/alglog.2015.54.601