Original Paper

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

, Volume 52, Issue 2, pp 349-355

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Lie ideals and centralizing generalized derivations of rings with involution

  • Lahcen OukhtiteAffiliated withDépartement de Mathématiques, Faculté des Sciences et Techniques, Groupe d’Algèbre et Applications, Université Moulay Ismaïl Email author 


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.


Rings with involution Generalized derivations

Mathematics Subject Classification (2000)

16W10 16W25 16N60