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On the distance of the composition of two derivations to the generalized derivations

On the distance of the composition of two derivations to the generalized derivations

A well-known theorem of E. Posner [10] states that if the composition d 1 d 2 of derivations d 1 d 2 of a prime ring A of characteristic not 2 is a derivation, then either d 1 = 0 or d 2 = 0. A number of authors have …