On Jacobson near-rings and special radicals

被引：0
|
作者：
Godloza, L. [1 ]
Groenewald, N. J.
Olivier, W. A.
机构：
[1] Walter Sisulu Univ Sci & Technol, Mthatha, South Africa
[2] Nelson Mandela Metropolitan Univ, Dept Math, ZA-6031 Port Elizabeth, South Africa
来源：
ALGEBRA COLLOQUIUM | 2007年 / 14卷 / 01期
关键词：
prime radical; Jacobson radical; Jacobson near-ring and special radicals;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct special radicals using class pairs of near-rings. We establish necessary conditions for a class pair to be a special radical class. We then define Jacobson-type near-rings and show that in most cases the class of all near-rings of this type is a special radical class. Subsequently, we investigate the relationship between each Jacobson-type near-ring and the corresponding matrix near-ring.
引用
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页码：1 / 14
页数：14
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