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A note on generalized skew derivations on Lie ideals
Ashraf Mohammad
De Filippis Vincenzo
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2018, 128(2): UNSP 21.
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
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