Generalized derivations with nilpotent values on semiprime rings

被引：12

作者：

Wei, F ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 03期

关键词：

semiprime ring; generalized derivation; canonical sheaf of semiprime ring;

D O I：

10.1007/s10114-004-0318-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a semiprime ring, R-F be its left Martindale quotient ring and I be an essential ideal of R. Then every generalized derivation mu defined on I can be uniquely extended to a generalized derivation of R-F . Furthermore, if there exists a fixed positive integer n such that mu(x)(n) = 0 for all x is an element ofI, then mu = 0.

引用

页码：453 / 462

页数：10

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