摘要: | Let A be a ring with a simple right module M and D = End(MA). Let {δ1, δ2,…, δn} be a reduced set of skew derivations, where each δi is a σi-derivation of A satisfying σiδj = δjσi and σiσj = σjσi for all i, j. Let Δ1,…, Δm be distinct words of the form , where each is < p in the case of char(D) = p > 0. Let α1,…, αℓ be mutually M-independent automorphisms of A. Then for any D-independent elements x1, x2,…, xk M and any elements zijt M, there exists a A such that zijt = xiaΔjαt for all i = 1, 2,…, k, j = 1, 2,…, m, t = 1,…, ℓ. |