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SOME RESULTS ON n-JORDAN HOMOMORPHISMS
Cheshmavar, Jahangir,Hosseini, Seyed Kamel,Park, Choonkil Korean Mathematical Society 2020 대한수학회보 Vol.57 No.1
With the motivation to extend the Zelasko's theorem on commutative algebras, it was shown in [2] that if n ∈ {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.
Some results on $n$-Jordan homomorphisms
Jahangir Cheshmavar,Seyed Kamel Hosseini,박춘길 대한수학회 2020 대한수학회보 Vol.57 No.1
With the motivation to extend the Zelasko's theorem on commutative algebras, it was shown in \cite{Eshaghi.2009} that if $n \in \{3, 4\}$ is fixed, $A, B$ are commutative algebras and $h:A\rightarrow B$ is an $n$-Jordan homomorphism, then $h$ is an $n$-ring homomorphism. In this paper, we extend this result for all $n\geq 3$.