On a Theorem of Posner

Mansoor Ahmad
1977 Proceedings of the American Mathematical Society  
Posner [1] has proved the following theorem: Let R be a prime ring1 and d a derivation of R such that, for all a S R, ada -daa 6 Z (centre of R). Then, if d is not a zero derivation, R is commutative.
doi:10.2307/2041518 fatcat:3gyfguc32rcsdf2dl6i2gbduhy