LIE IDEALS AND JORDAN IDEALS IN 3-PRIME NEAR-RINGS WITH DERIVATIONS

被引：3
|
作者：
Boua, Abdelkarim [1 ]
Kamal, Ahmed A. M. [2 ,3 ]
机构：
[1] Univ Ibn Zohr, Fac Sci, Dept Math, EEFA, Agadir, Morocco
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2015年 / 37卷 / 02期
关键词：
3-prime near-rings; Jordan ideals; Lie ideals; derivations;
D O I：
10.17654/JPANTAOct2015_167_184
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of a Lie ideal in a near-ring and study the structure of the near-rings admitting derivations which satisfy certain conditions on a Lie ideal and a Jordan ideal in a 3-prime near-ring. Moreover, we give some examples which show that the assumptions made in our results are necessary.
引用
收藏
页码：167 / 184
页数：18
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