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Let  R  be a prime ring of characteristic not equal to 2,  U  the Utumi quotient ring of  R ,  C  the extended centroid of  R  anda noncentral multilinear polynomial of  R . Let  F ,  H  be-generalized skew derivations on  R , with associated termsandrespectively, and  α  commutes with  d  and  δ . In this article we study the complete structure of  F  and  H  in the case, for all.

b ′-Generalized skew derivations acting as a Jordan derivation on multilinear polynomials in prime rings