Generalized derivations centralizing on Jordan ideals of rings with involution

被引：32
|
作者：
Oukhtite, Lahcen [1 ]
Mamouni, Abdellah [1 ]
机构：
[1] Univ Moulay Ismail Boutalamine, Fac Sci & Technol, Dept Math, Algebra & Applicat Grp, Errachidia, Morocco
来源：
TURKISH JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 02期
关键词：
Rings with involution; generalized derivations; Jordan ideals; PRIME-RINGS; LIE IDEALS; MAPPINGS;
D O I：
10.3906/mat-1203-14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.
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页码：225 / 232
页数：8
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