On Semiprime Rings with Generalized Derivations

被引：1
|
作者：
Khan, Mohd Rais [1 ]
Hasnain, Mohammad Mueenul [1 ]
机构：
[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2013年 / 53卷 / 04期
关键词：
Commutators; Derivation; Ideals; Semiprime-ring;
D O I：
10.5666/KMJ.2013.53.4.565
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: (i) F(x) circle D(y) = [x, y], (ii) D(x) circle F(y) = F[x, y], (iii) D(x) circle F(y) = xy, (iv) F(x circle y) = [F(x), y] + [D(y), x], and (v) F[x, y] = F(x) circle y = D(y) circle x for all x, y in some appropriate subsets of R.
引用
收藏
页码：565 / 571
页数：7
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