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.
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页数：11
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