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- W2899685678 abstract "Let R be a non-commutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, L a non-central Lie ideal of R, F and G two non-zero generalized derivations of R. If [F(u),u]G(u) = 0 for all u ? L, then one of the following holds: (a) there exists ? ? C such that F(x) = ?x, for all x ? R; (b) R ? M2(F), the ring of 2 x 2 matrices over a field F, and there exist a ? U and ? ? C such that F(x) = ax + xa + ?x, for all x ? R." @default.
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- W2899685678 date "2018-01-01" @default.
- W2899685678 modified "2023-10-16" @default.
- W2899685678 title "Posner’s second theorem and some related annihilating conditions on lie ideals" @default.
- W2899685678 doi "https://doi.org/10.2298/fil1804285a" @default.
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