BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v. 57, no. 1, page. 31-35
Abstract
With the motivation to extend the Zelasko's theorem on commutative algebras, it was shown in [2] that if n is an element of {3, 4} is fixed, A, B are commutative algebras and h : A -> B is an n-Jordan homomorphism, then h is an n-ring homomorphism. In this paper, we extend this result for all n >= 3.