On (n,m)-Jordan homomorphisms on algebras

Authors

  • Masoumeh Neghabi South Tehran Branch, Islamic Azad University
  • Abasalt Bodaghi
  • Abbas Zivari-Kazempour Ayatollah Borujerdi University

DOI:

https://doi.org/10.30495/jme.v15i0.1403

Keywords:

$n$-homomorphism, $n$-Jordan homomorphism, mixed $n$-Jordan homomorphism, automatic continuity, semisimple

Abstract

In this paper, we show that every $(n,m)$-Jordan homomorphism between two commutative algebras is an $(n,m)$-homomorphism. For the non-commutative case, we prove that every surjective $(2,m)$-Jordan homomorphism from an algebra $\mathcal{A}$ to a semiprime commutative algebra $\mathcal{B}$ is $(2,m)$-homomorphism.

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Published

2020-02-17

Issue

Vol. 15

Section

Vol. 15, No. 2, (2021)

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