AN IDENTITY RELATED TO θ-CENTRALIZERS IN SEMIPRIME RINGS

被引:0
作者
Zivari-kazempour, A. [1 ]
机构
[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran
来源
JOURNAL OF ALGEBRAIC SYSTEMS | 2025年 / 12卷 / 02期
关键词
Semiprime ring; Centralizer; theta-Centralizer; Epimorphism;
D O I
10.22044/JAS.2023.11856.1607
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be a 2-torsion free semiprime ring and 0 be an epimorphism of R . In this paper, under special hypotheses, we prove that if T(xyx) = 0(x)T(y)0(x) holds for all x, y E R , then T is a 0-centralizer.
引用
收藏
页码:367 / 377
页数:12
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