On Jacobson Near-rings and Special Radicals

• 来源期刊: 代数集刊（英文版）
• 关键词: prime radical Jacobson radical Jacobson near-ring and special radicals
• 年，卷（期）: 2007,（1）
• 页码范围: 1-14
• 页数: 14页
• 语种: 英文

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.