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- W2024253216 abstract "Let R be a prime ring of characteristic different from 2, Z(R) its center, U its Utumi quotient ring, C its extended centroid, G a non-zero generalized derivation of R, L a non-central Lie ideal of R. We prove that if [[G(u),u],G(u)] ∈ Z(R) for all u ∈ L then one of the following holds: 1. there exists α ∈ C such that G(x) = α_x_, for all x ∈ R; 2. satisfies the standard identity _s_4(_x_1,…,x_4) and there exist a ∈ U, α ∈ C such that G(x) = ax + xa + α_x, for all x ∈ R." @default.
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- W2024253216 date "2009-01-01" @default.
- W2024253216 modified "2023-09-24" @default.
- W2024253216 title "A Note on Posner's Theorem with Generalized Derivations on Lie Ideals" @default.
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- W2024253216 doi "https://doi.org/10.4171/rsmup/122-5" @default.
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