,On Jacobson Near-rings and Special Radicals

• 作 者: L. Godloza N.J. Groenewald W.A. Olivier
• 机 构: Waiter Sisulu University of Science and Technology Mthatha, South Africali“,”Department of Mathemati
• 出 处: 代数集刊（英文版）
• 发表日期: 2007年1期
• 关键词: prime radical Jacobson radical Jacobson near-ring and special radicals

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.