Left Ideals and Pair of Generalized Derivations in Semiprime Rings

被引：0
|
作者：
Ali, Asma [1 ]
Khan, Shahoor [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2016年 / 40卷 / 04期
关键词：
Semiprime rings; Left ideals; Generalized derivations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be an n!-torsion free semiprime ring, and let F, G : R -> R be two generalized derivations of R. In this paper we will show that if the mapping F-2 + G is n-commuting (or n-skew-commuting) on a nonzero left ideal lambda of R, then either R contains a nonzero central ideal or lambda d(Z) subset of Z, where d is the derivation associated with F.
引用
收藏
页码：461 / 465
页数：5
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