Annihilating and power-commuting generalized skew derivations on Lie ideals in prime rings
Vincenzo de Filippis (2016)
Czechoslovak Mathematical Journal
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Let be a prime ring of characteristic different from 2 and 3, its right Martindale quotient ring, its extended centroid, a non-central Lie ideal of and a fixed positive integer. Let be an automorphism of the ring . An additive map is called an -derivation (or a skew derivation) on if for all . An additive mapping is called a generalized -derivation (or a generalized skew derivation) on if there exists a skew derivation on such that for all . We prove...