Generalized Skew Derivations Cocentralizing Multilinear Polynomials

Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended centroid. Suppose that F, G are generalized skew derivations of R and f(x1, … , xn) is a non-central multilinear polynomial over C with n non-commuting variables. If F and G satisfy the following condition: (Formula Presented.) for all r1, … , rn∈ R, then we describe all possible forms of F and G. © 2015, Springer Basel.