Geodesic
n-Jordan homomorphisms on commutative algebras
Abasalt Bodaghi1 ; Hulya Inceboz2 ; Abasalt Bodaghi ; Hulya Inceboz
1Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran
2Department of Mathematics, Adnan Menderes University, Aydin, Turkey
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 141-146 
Abasalt Bodaghi; Hulya Inceboz; Abasalt Bodaghi; Hulya Inceboz. n-Jordan homomorphisms on commutative algebras. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 141-146. http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a11/
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     title = { n-Jordan homomorphisms on commutative algebras},
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Voir la notice de l'article provenant de la source Comenius University

It is proved that every n-Jordan homomorphism between commutative algebras is an n-ring homomorphism when n is an arbitrary and xed positive integer number. We employ this result to show that every involutive n-Jordan homomorphism between commutative C*-algebras is automatically norm continuous.