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

页码：349 / 355

页数：6

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