Characterization of $n$-Jordan Homomorphisms on Rings


  • Abbas Zivari-kazempour Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.
  • Mohammad Valaei Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.



$n$-homomorphism, $n$-Jordan homomorphism, semisimple.


In this paper, we prove that if $\varphi:\mathcal{R}\longrightarrow\mathcal{R}'$ is an $n$-Jordan homomorphism, where $\mathcal{R}$ has a unit $e$, then the map $a\longmapsto \varphi(e)^{n-2}\varphi(a)$ is a Jordan homomorphism.  As a consequence we show, under special hypotheses, that each $n$-Jordan homomorphism is an $n$-homomorphism.


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2021-11-14 — Updated on 2022-01-25


How to Cite

Zivari-kazempour, A., & Valaei, M. (2022). Characterization of $n$-Jordan Homomorphisms on Rings. Tamkang Journal of Mathematics, 53(1), 89–96. (Original work published January 18, 2022)