Abstract
In this paper we investigate identities with two generalized derivations in prime rings. We prove, for example, the following result. Let R be a prime ring of characteristic different from two and let F1, F2 : R → R be generalized derivations satisfying the relation F1(x)F2(x) + F2(x)F1(x) = 0 for all \({x \in R}\) . In this case either F1 = 0 or F2 = 0.
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