曲阜师范大学学报（自然科学版）2007，Vol.33Issue(1)：39-42,4.
广义导子在素环李理想上的作用
Actions of Generalized Derivations on Lie Ideal of Prime Rings
黄述亮 1傅士太1
作者信息
- 1. 南京师范大学数学与计算机科学学院,210097,江苏省南京市
- 折叠
摘要
Abstract
Let R be a prime ring with charR≠2, U(∈)Z(R) a Lie ideal such that u2∈U for all u∈U, and δ a generalized derivation associated with d.If either δ(U)(∈)Z(R) or［δ(x),δ(y)=x,y］ with d(Z(U))≠0 for all x, y∈U, then there exists q∈Qr(Rc) such that δ(x)=qx for all x∈R. Further, if a∈R and ［a,δ(x)］∈Z(R) with d(Z(U))≠0 for all x∈U, then a∈Z(R).关键词
素环/李理想/广义导子Key words
prime ring/Lie ideal/derivation分类
数理科学引用本文复制引用
黄述亮,傅士太..广义导子在素环李理想上的作用[J].曲阜师范大学学报（自然科学版）,2007,33(1):39-42,4.
