On generalized derivations and commutativity of prime rings with involution

被引：1
|
作者：
Huang, Shuliang [1 ]
机构：
[1] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Commutativity; generalized derivations; involution; prime rings; DIFFERENTIAL IDENTITIES; SEMIPRIME RINGS; CRITERIA; IDEALS;
D O I：
10.1080/00927872.2023.2186131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we prove some commutativity theorems for a prime ring with involution in which generalized derivations satisfy certain differential identities. Some well known results on commutativity of prime rings have been obtained. Also, we provide an example to show that the assumed restriction imposed on the involution is not superfluous.
引用
收藏
页码：3521 / 3527
页数：7
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