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Stability of \(n\)-Jordan homomorphisms from a normed algebra to a Banach algebra. (English) Zbl 1470.39054

Summary: We establish the hyperstability of \(n\)-Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an \(n\)-Jordan homomorphism between two commutative Banach algebras is an \(n\)-ring homomorphism.

MSC:

39B52 Functional equations for functions with more general domains and/or ranges
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