Lie ideals and centralizing generalized derivations of rings with involution

Open AccessOriginal Paper

DOI: 10.1007/s13366-011-0058-2

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.


Rings with involutionGeneralized derivations

Mathematics Subject Classification (2000)

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© The Author(s) 2011

Authors and Affiliations

  1. 1.Département de Mathématiques, Faculté des Sciences et Techniques, Groupe d’Algèbre et ApplicationsUniversité Moulay IsmaïlErrachidiaMorocco