Lie Ideals and Generalized Derivations in Semiprime Rings

被引：9

作者：

De Filippis, Vincenzo ^{[1
]}

Rehman, Nadeem Ur ^{[2
]}

Ansari, Abu Zaid ^{[3
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, I-98166 Messina, Italy

[2] Taibah Univ, Fac Sci, Dept Math, Al Madinah, Al Munawara, Saudi Arabia

[3] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah, Saudi Arabia

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2015年 / 10卷 / 02期

关键词：

Derivations; Generalized derivations; Semiprime rings; Lie ideals;

D O I：

10.7508/ijmsi.2015.02.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F R -> R is called a generalized derivation on R if there exists a derivation d R -> R such that F(xy) = F(x)y+xd(y) holds for all x, y is an element of R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.

引用

页码：45 / 54

页数：10

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