Geodesic
Jordan elementary maps on alternative division rings
Serdica Mathematical Journal, Tome 43 (2017) no. 2, pp. 161-168.

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In this work we prove that if R and R′ are arbitrary alternative division rings, then under a mild condition every Jordan semi-isomorphism (M, M^*) of R × R′ is a isomorphism or an anti-isomorphism.
Keywords: Jordan semi-isomorphism, alternative rings, 17A36, 17D05 
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Leonardo, Bruno; Ferreira, Macedo. Jordan elementary maps on alternative division rings. Serdica Mathematical Journal, Tome 43 (2017) no. 2, pp. 161-168. http://geodesic.mathdoc.fr/item/SMJ2_2017_43_2_a4/