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

页码：121 / 130

页数：10

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