A note on n-Jordan homomorphisms
Résumé
By using a variation of a theorem on n-Jordan homomorphisms due to Herstein, we deduce the following G. An's result: Let A and B be two rings where A has a unit and char(B) > n. If every Jordan homomorphism from A into B is a homomorphism (anti-homomorphism), then every n-Jordan homomorphism from A into B is an n-homomorphism (anti-n-homomorphism).
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