Vanishing and cocentralizing generalized derivations on Lie ideals |
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| Authors: | Luisa Carini Vincenzo De Filippis Giovanni Scudo |
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| Institution: | 1. MIFT, University of Messina, Messina, Italylcarini@unime.it;3. MIFT, University of Messina, Messina, Italy |
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| Abstract: | Let R be a prime ring of characteristic different from 2, U its right Utumi quotient ring, C its extended centroid and L a not central Lie ideal of R. Suppose that F, G and H are generalized derivations of R, with F≠0, such that F(G(x)x?xH(x)) = 0, for any x∈L. In this paper we describe all possible forms of F, G and H. |
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| Keywords: | Generalized derivation Lie ideal prime ring |
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