Lie ideals and centralizing generalized derivations of rings with involution

被引:0
作者
Oukhtite L. [1 ]
机构
[1] Département de Mathématiques, Faculté des Sciences et Techniques, Groupe d'Algèbre et Applications, Université Moulay Ismaïl, Errachidia, B. P. 509, Boutalamine
来源
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2011年 / 52卷 / 2期
关键词
Generalized derivations; Rings with involution;
D O I
10.1007/s13366-011-0058-2
中图分类号
学科分类号
摘要
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. © 2011 The Author(s).
引用
收藏
页码:349 / 355
页数:6
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