Geodesic
Linearly minimal Jordan algebras of characteristic other than 2
Algebra i logika, Tome 54 (2015) no. 6, pp. 653-662

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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. 
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     author = {E. R. Baisalov and A. Aljouiee},
     title = {Linearly minimal {Jordan} algebras of characteristic other than~2},
     journal = {Algebra i logika},
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     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_6_a0/}
}
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E. R. Baisalov; A. Aljouiee. Linearly minimal Jordan algebras of characteristic other than 2. Algebra i logika, Tome 54 (2015) no. 6, pp. 653-662. http://geodesic.mathdoc.fr/item/AL_2015_54_6_a0/