Strong Commutativity-preserving Generalized Derivations on Semiprime Rings

被引：39

作者：

Ma, Jing ^{[1
,2
]}

Xu, Xiao Wei ^{[1
,2
]}

Niu, Feng Wen ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 11期

关键词：

(semi-)prime ring; generalized derivation; GPI; strong commutativity-preserving;

D O I：

10.1007/s10114-008-7445-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a ring with a subset S. A mapping of R into itself is called strong commutativity-preserving (scp) on S, if [f(x), f(y)] = [x, y] for all x, y epsilon S. The main purpose of this paper is to describe the structure of the generalized derivations which are scp on some ideals and right ideals of a prime ring, respectively. The semiprime case is also considered.

引用

页码：1835 / 1842

页数：8

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