论文部分内容阅读
Let R be a prime ring with center Z and S (C) R. Two mappings D and G of R into itself are called cocentralizing on S if D(x)x - xG(x) ∈ Z for all x ∈ S. The main purpose of this paper is to describe the structure of generalized derivations which are cocentralizing on ideals, left ideals and Lie ideals of a prime ring, respectively. The semiprime case is also considered.