PRIMENESS AND PRIMITIVITY IN NEAR-RINGS

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2021-01-01 DOI:10.4134/JKMS.J200013

G. Wendt

引用次数: 0

Abstract

In near-ring theory several different types of primitivity exist. These all imply several different types of primeness. In case of near-rings with DCCN most of the types of primeness are known to imply primitivity of a certain kind. We are able to show that also so called 1-prime nearrings imply 1-primitivity. This enables us to classify maximal ideals in near-rings with chain condition with the concept of 1-primeness which leads to further results in the structure theory of near-rings.

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近环中的基性和基性

在近环理论中存在几种不同类型的基元。这些都暗示了几种不同类型的素数。对于具有DCCN的近环，大多数类型的素数都暗示着某种类型的素数。我们可以证明，所谓的1素数近环也包含1素数。这使得我们可以用1素数的概念对具有链条件的近环上的极大理想进行分类，从而在近环结构理论中得到进一步的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).