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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 $n\geq 3$.
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참고문헌 (6)
참고문헌 신청
J. Bracic / 2007 / On automatic continuity of 3-homomorphisms on Banach algebras / Bull. Malays. Math. Sci. Soc 30(2):195~200
M. ESHAGHI GORDJI / 2009 / n-Jordan homomorphisms / Bulletin of the Australian Mathematical Society 80(1):159~164
M. Eshaghi Gordji / 2019 / Approximately n-Jordan ho-momorphisms on Banach algebras / J. Inequal. Appl 2009:8
Takeshi Miura / 2005 / Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras / Journal of Inequalities and Applications 2005(4):735242
Efton Park / 2009 / On the nonexistence of nontrivial involutive $n$-homomorphisms of $C^{\star }$-algebras / Transactions of the American Mathematical Society 361(04):1949~1961
M. ESHAGHI GORDJI / 2009 / n-Jordan homomorphisms / Bulletin of the Australian Mathematical Society 80(1):159~164
M. Eshaghi Gordji / 2019 / Approximately n-Jordan ho-momorphisms on Banach algebras / J. Inequal. Appl 2009:8
Takeshi Miura / 2005 / Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras / Journal of Inequalities and Applications 2005(4):735242
Efton Park / 2009 / On the nonexistence of nontrivial involutive $n$-homomorphisms of $C^{\star }$-algebras / Transactions of the American Mathematical Society 361(04):1949~1961
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