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 nonzero generalized derivations of R. If (formula presented) for all (formula presented), then one of the following holds: 1.There exist (formula presented) such that (formula presented) and (formula presented). © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2020.
Product of generalized derivations with commuting values on a lie ideal
Carini L.;De Filippis V.
;Scudo G.
2020-01-01
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 nonzero generalized derivations of R. If (formula presented) for all (formula presented), then one of the following holds: 1.There exist (formula presented) such that (formula presented) and (formula presented). © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2020.File in questo prodotto:
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