关于半素环上微分恒等式的某些结果(英文)  

SOME RESULTS ABOUT DIFFERENTAL IDENTITIES IN SEMIPRIME RINGS

作　　者：张淑华[1] 牛凤文[1] 

机构地区：[1]吉林大学数学研究所,长春130023

出　　处：《数学杂志》2000年第4期383-386,共4页Journal of Mathematics

基　　金：Supported by the Doctoral Foundation of the Educational China DifferentialIdentities

摘　　要：本文主要讨论了半素环的微商满足某些微分恒等式的问题 .给出了如下结果 :假设 R是带有扩张形心 C的素环 ,I为 R的稠密单侧理想 ,d和 g是 R的微商 .如果 d( x) g( x) =g( x) d( x)对任意 x∈ I均成立 ,那么对每一个 x∈R,或者 d2 ( x) =0 ,或者存在 λx∈ C使得 d( x) - λxg( x)∈C.同时给出了半素环的微商满足某些微分恒等式的结果 .Let R be a prime ring with the extended centroid C, d and g be derivations of R , I be a dense one sided ideal of R. Suppose that d(x)g(x)=g(x)d(x) for all x∈ I. Then for every x ∈ R , either d 2(x) =0 or there exists λ x ∈ C such that d(x)-λxg(x)∈C. Also we will discuss some differential identities in semiprime ring.

关 键 词：微商 微分恒等式 半素环 稠密单侧理想 

分 类 号：O153.3[理学—数学]