Derivations and Jordan ideals in prime rings

被引：4

作者：

Oukhtite, Lahcen ^{[1
,2
]}

Mamouni, Abdellah ^{[2
]}

Beddani, Charef ^{[1
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, POB 2285, Madina, Saudi Arabia

[2] Univ Moulay Ismail, Fac Sci & Tech, Dept Math, Errachidia, Morocco

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2014年 / 8卷 / 04期

关键词：

Prime-rings; Derivations; Jordan ideals; Commutativity;

D O I：

10.1016/j.jtusci.2014.04.004

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The purpose of this paper is to study derivations satisfying certain differential identities on Jordan ideals of prime rings. Some well known results characterizing commutativity of prime rings by derivations have been generalized by using Jordan ideals. Moreover, we provide examples to show that our results cannot be extended to semi-prime rings. (C) 2014 Taibah University. Production and hosting by Elsevier B. V. All rights reserved.

引用

页码：364 / 369

页数：6

共 9 条

[1] LIE AND JORDAN STRUCTURE IN PRIME RINGS WITH DERIVATIONS [J].