On (n,m)-Jordan Homomorphisms on Algebras

被引：0

作者：

Neghabi, M. ^{[1
]}

Bodaghi, A. ^{[2
]}

Zivari-Kazempour, A. ^{[3
]}

机构：

[1] Islamic Azad Univ, South Tehran Branch, Dept Math, Tehran, Iran

[2] Islamic Azad Univ Garmsar, Garmsar Branch, Dept Math, Math, Garmsar, Iran

[3] Ayatollah Borujerdi Univ, Dept Math, Math, Lorestan, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2021年 / 15卷 / 02期

关键词：

n-homomorphism; n-Jordan homomorphism; (n; m)-Jordan homomorphism; semisimple; N-JORDAN HOMOMORPHISMS; AUTOMATIC-CONTINUITY;

D O I：

10.30495/JME.2021.1403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, it is shown that every (n,m)-Jordan homomorphism between two commutative algebras is an (n,m)-homomorphism. For the non-commutative case, it is proved that every surjective (2,m)Jordan homomorphism from an algebra A into a semiprime commutative algebra B is a (2,m)-homomorphism.

引用

页数：11

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