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A simple proof for a result on $n$-Jordan homomorphisms

Abbas Zivari-Kazempour|박춘길
대한수학회 (The Korean Mathematical Society)|2023.04|대한수학회논문집 (Communications of the KMS)|제38권 제2호|pp. 487-490|DOI 10.4134/CKMS.c220136

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키워드

$n$-ring homomorphism$n$-Jordan homomorphismcommutative ring
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초록

In this short note, we give a simple proof of the main theorem of \cite{Cheshmavar} which states that every $n$-Jordan homomorphism $h:A\longrightarrow B$ between two commutative algebras $A$ and $B$ is an $n$-homomorphism.

Abstract

In this short note, we give a simple proof of the main theorem of \cite{Cheshmavar} which states that every $n$-Jordan homomorphism $h:A\longrightarrow B$ between two commutative algebras $A$ and $B$ is an $n$-homomorphism.

참고문헌 (17)

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관련 논문AI추천

Some results on $n$-Jordan homomorphisms박춘길, Jahangir Cheshmavar, Seyed Kamel Hosseini대한수학회 · 대한수학회보2020 · 제57권 제1호Characterization of Pseudo n-Jordan HomomorphismsAbbas Zivari-Kazempour경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호A note on Jordan derivations of trivial generalized matrix algebrasChenyou Zheng, Yanbo Li대한수학회 · 대한수학회논문집2017 · 제32권 제2호On Jordan and Jordan higher derivable maps of ringsLei Liu대한수학회 · 대한수학회보2020 · 제57권 제4호Additivity of Jordan triple product homomorphisms on generalized matrix algebras김상옥, 박춘길대한수학회 · 대한수학회보2013 · 제50권 제6호Automatic continuity of $n$-Jordan homomorphisms on Banach algebrasAbbas Zivari-Kazempour대한수학회 · 대한수학회논문집2018 · 제33권 제1호

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