Lie ideals and centralizing generalized derivations of rings with involution
- First Online:
- Cite this article as:
- Oukhtite, L. Beitr Algebra Geom (2011) 52: 349. doi:10.1007/s13366-011-0058-2
A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend the posner’s result to the case of generalized derivations centralizing on Lie ideals of rings with involution.