Weakly and Strongly Regular Near-rings

• 来源期刊: 代数集刊（英文版）
• 关键词: weakly regular strongly regular completely prime
• 年，卷（期）: 2005,（1）
• 页码范围: 121-130
• 页数: 10页
• 语种: 英文

摘要

In this paper, we prove some basic properties of left weakly regular near-rings.We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly regular near-rings.