Generalized derivations as Jordan homomorphisms on lie ideals and right ideals

被引：0
作者：
Vincenzo de Filippis
机构：
[1] University of Messina,DI.S.I.A.
[2] Faculty of Engineering Contrada di Dio,undefined
来源：
Acta Mathematica Sinica, English Series | 2009年 / 25卷
关键词：
prime rings; differential identities; generalized derivations; Jordan homomorphisms; 16N60; 16W25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let R be a prime ring, L a non-central Lie ideal of R and g a non-zero generalized derivation of R. If g acts as a Jordan homomorphism on L, then either g(x) = x for all x ∈ R, or char(R) = 2, R satisfies the standard identity s4(x1, x2, x3, x4), L is commutative and u2 ∈ Z(R), for any u ∈ L. We also examine some consequences of this result related to generalized derivations which act as Jordan homomorphisms on the set [I, I], where I is a non-zero right ideal of R.
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页码：1965 / 1974
页数：9
相关论文
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