摘要
设R是素环,δ是R上的广义导子,m,n,p∈N.利用广义恒等式理论,在6(m,n)或p=1的条件下,证明了对任意的x,y∈R,[δ(x),δ(y)]=[xm,yn]p当且仅当δ(x)=x或δ(x)=-x,且m=n=p=1.
Let R be a prime ring with a generalized derivation 8 and m, n,p ∈N. Using GPI theory, under the assumption that either 6 is not a common divisor of m and n, or p = 1, the authors have proved that [δ（x） ,δ（y） ] = [x^m,y^n]^p for all x,y∈R if and only if δ（x） =x or δ（x） = -x, and m =n =p = 1.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2009年第5期951-953,共3页
Journal of Jilin University:Science Edition
关键词
素环
广义导子
强保交换映射
prime ring
generalized derivation
strong commutativity preserving map
