Abstract
ABSTRACT Let R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R, C the extended centroid of R, F and G non-zero generalized derivations of R and a multilinear polynomial over C. Suppose that is not central valued on R, and R does not embed in , the algebra of matrices over a field K. We describe all possible forms of F and G in the case for any .
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