摘要
讨论了素环上具有幂中心值的交换子的零化子问题.运用Kharchenko定理和本原环的稠密定理,推广了Lie和Lin在1996年提出的重要结果,并且获得了几个相关的推论.
In this paper, the annihilator of the commutator with power- central values on prime rings is discussed. The main result generalizes Lie and Lin＇s result obtained in 1996. The main tool in the proof of theorerns is the use of famous Kharchenko＇s theorem and the dense theorem of primitive rings. Some corollaries are given as an application of the result.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2005年第3期17-19,共3页
Journal of Northeast Normal University(Natural Science Edition)
基金
吉林省科委基金资助项目(吉科合字961801-1-3-1号)
关键词
素环
LIE理想
导子
零化子
prime ring
Lie ideal
derivation
annihilator
