首页 | 本学科首页   官方微博 | 高级检索  
     检索      

广义导子幂中心化子条件(英文)
引用本文:徐晓伟,马晶,牛凤文.广义导子幂中心化子条件(英文)[J].数学进展,2012(1):113-119.
作者姓名:徐晓伟  马晶  牛凤文
作者单位:吉林大学数学学院;山东大学数学学院
基金项目:supported by NSFC(No.10871023 and No.11071097);211 Project;985 Project;the Basic Foundation for Science Research from Jilin University
摘    要:设R是素环,U是R的极大右商环,C是R的扩展型心,I是R的非零理想,δ是R上的广义导子,a,b,q∈U.本文给出了恒等式(aδ(qx)-bx)~n=0(∈C在I上成立的充分必要条件,得到的结果推广了Herstein,Lanski,Lee的结论.

关 键 词:素环  广义导子  幂中心化子

Annihilators of Power Central Values of Generalized Derivations
XU Xiaowei,MA Jing,NIU Fengwen.Annihilators of Power Central Values of Generalized Derivations[J].Advances in Mathematics,2012(1):113-119.
Authors:XU Xiaowei  MA Jing  NIU Fengwen
Institution:1,***) (1.College of Mathematics,Jilin University,Changchun,Jilin,130012,P.R.China;2.School of Mathematics,Shandong University,Jinan,Shandong,250100,P.R.China)
Abstract:Let R be a prime ring with extended centroid C and maximal right ring of quotients U.Let S be a generalized derivation of R,I a nonzero ideal of R and a,b,q∈U.In this paper,we discuss an identity(αδ(qx)—bx)~n = 0(∈C) for all x∈I through which we give a generation of the results obtained by Herstein,Lanski and Lee,simultaneously.
Keywords:prime ring  generalized derivation  annihilator of power central value
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号