Annihilator on Co-commutators with Derivations on Lie Ideals in Prime Rings

被引：0

作者：

吴伟 ^{[1
]}

牛凤文 ^{[2
]}

机构：

[1] Institute of Mathematics,Jilin University,Changchun,130012 Department of Mathematics,Tianjin University,Tianjin,300072

[2] Institute of Mathematics,Jilin University,Changchun,130012

来源：

Communications in Mathematical Research | 2006年 / 04期

关键词：

prime ring; generalized polynomial identity; differential identity 2000 MR subject classificationW25;

D O I：

10.13447/j.1674-5647.2006.04.006

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

Let R be a prime ring of characteristic different from 2,d and g twoderivations of R at least one of which is nonzero,L a non-central Lie ideal of R,anda∈R.We prove that if a(d（u）u-ug（u）)=0 for any u∈L,then either a=0,or R is an s;-ring,d（x）=[p,x],and g（x）=-d（x）for some p in the Martindalequotient ring of R.

引用

页码：415 / 424

页数：10

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