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
收藏
页码：1561 / 1576
页数：15
相关论文
共 63 条
  • [31] Lee P-H(2011)Strong commutativity preserving maps in prime rings with involution Commun. Algebra 6 147-158
  • [32] Liu C-K(2008)Derivations cocentralizing multilinear polynomials on left ideals Acta Math. Sin. (Engl. Ser.) 429 1051-1070
  • [33] Lee T-K(2010)Strong commutativity preserving generalized derivations on right ideals Commun. Algebra 6 917-923
  • [34] Lee T-K(2012)Skew derivations with nilpotent values in rings and Banach algebras Oper. Matrices undefined undefined-undefined
  • [35] Lee T-K(2008)Strong commutativity preserving generalized derivations on semiprime rings Linear Algebra Appl. undefined undefined-undefined
  • [36] Liu C-K(2005)Nonlinear strong commutativity preserving maps on prime rings Int. J. Math. Math. Sci. undefined undefined-undefined
  • [37] Lee T-K(undefined)Strong commutativity preserving maps on triangular rings undefined undefined undefined-undefined
  • [38] Pan C-Y(undefined)Commutativity preserving maps undefined undefined undefined-undefined
  • [39] Lee T-K(undefined)On strong commutativity-preserving maps undefined undefined undefined-undefined
  • [40] Shiue W-K(undefined)undefined undefined undefined undefined-undefined
1234567