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Let  R  be a prime ring of characteristic different from 2,its right Martindale quotient ring and  C  its extended centroid. Suppose that  F  is a generalized skew derivation of  R ,  L  a non-central Lie ideal of  R ,a non-zero element of  R ,andfixed integers. Iffor all, then either there existssuch that, for any, with  ab  = 0 or, the ring ofmatrices over a field  K .

An equation concerning power values of generalized skew derivations and annihilating conditions on Lie ideals