Lie ideals and centralizing generalized derivations of rings with involution

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Original Paper
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Abstract

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.

Keywords

Rings with involution Generalized derivations 

Mathematics Subject Classification (2000)

16W10 16W25 16N60 

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Copyright information

© The Author(s) 2011

Authors and Affiliations

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

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