Let R be a prime ring of characteristic different from 2 and 3, Q (r) its right Martindale quotient ring, C its extended centroid, L a non-central Lie ideal of R and n a parts per thousand yen 1 a fixed positive integer. Let alpha be an automorphism of the ring R. An additive map D: R -> R is called an alpha-derivation (or a skew derivation) on R if D(xy) = D(x)y + alpha(x)D(y) for all x, y a R. An additive mapping F: R -> R is called a generalized alpha-derivation (or a generalized skew derivation) on R if there exists a skew derivation D on R such that F(xy) = F(x)y + alpha(x)D(y) for all x, y a R.
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