On Lie ideals satisfying certain differential identities in prime rings
DOI:
https://doi.org/10.17398/2605-5686.38.1.67Keywords:
Prime ring, derivation, generalized derivation, Lie idealAbstract
Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively. In this paper, we study several conditions that imply that the Lie ideal is central. Moreover, it is shown that the assumption of primeness of R can not be removed.
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