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A note on generalized skew derivations on Lie ideals

Ashraf Mohammad

De Filippis Vincenzo

Summary

Let R be a prime ring, Z(R) its center, C its extended centroid, L a Lie ideal of R, F a generalized skew derivation associated with a skew derivation d and automorphism alpha. Assume that there exist t >= 1 and m, n >= 0 fixed integers such that vu = u(m) F(uv)(t) u(n) for all u, v is an element of L. Then it is shown that either L is central or

Keywords

Generalized skewderivation; automorphism; (semi-)prime ring; Lie ideal; extended centroid

Institution

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