Weakly and strongly regular near-rings

被引：7
作者：
Argac, N [1 ]
Groenewald, NJ
机构：
[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Izmir, Turkey
[2] Univ Port Elizabeth, Dept Math, ZA-6000 Port Elizabeth, South Africa
来源：
ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 01期
关键词：
weakly regular; strongly regular; completely prime;
D O I：
10.1142/S1005386705000118
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：121 / 130
页数：10
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