STRONG COMMUTATIVITY PRESERVING GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS

摘要

Let R be a non-commutative prime ring of characteristic different from 2, with right Utumi quotient ring U and extended centroid C and let F and G be generalized derivations of R such that F(x)G(y) - F(y)G(x) = [x, y], for all x, y is an element of S, where S is a subset of R. Here we will discuss the following cases: