IDENTITIES WITH PRODUCT OF GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS

摘要

Let R be a prime ring of characteristic different from 2, Q(r) its right Martindale quotient ring, and C its extended centroid. Suppose that F, G are generalized skew derivations of R, with the same associated automorphism, and f(x(1), ... ,x(n)) a noncentral multilinear polynomial over C with n noncommuting variables, such that