Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations

被引：0

作者：

Sui, Mingxing ^{[1
]}

Chen, Quanyuan ^{[1
]}

机构：

[1] Jingdezhen Ceram Univ, Sch Informat Engn, Jingdezhen 333403, Peoples R China

来源：

MATHEMATICS | 2024年 / 12卷 / 14期

关键词：

generalized derivations; prime ring; involution; commutativity;

D O I：

10.3390/math12142286

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized. Moreover, we provide some examples to testify that the assumed restriction in our theorems cannot be omitted.

引用

页数：12