On Skew Derivations in Semiprime Rings

被引：0

作者：

Cheng-Kai Liu

机构：

[1] National Changhua University of Education,Department of Mathematics

来源：

Algebras and Representation Theory | 2013年 / 16卷

关键词：

(Semi-)prime ring; Skew derivation; Generalized Polynomial Identity (GPI); Strong commutativity preserving; 16W25; 16N60; 16U80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the commutativity in a (semi-)prime ring R which admits skew derivations δ1, δ2 satisfying [δ1(x), δ2(y)] = [x, y] for all x, y in a nonzero right ideal of R. This result is a natural generalization of Bell and Daif’s theorem on strong commutativity preserving derivations and a recent result by Ali and Huang.

引用

页码：1561 / 1576

页数：15