A characterization of a ∼ admissible congruence on a weakly type B semigroup

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-12-01 DOI:10.1515/math-2023-0152

Chunhua Li, Jieying Fang, Lingxiang Meng, Huawei Huang

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引用次数: 0

Abstract

In this article, the notions of

∼

\sim

admissible congruences and

∼

\sim

normal congruences on a weakly type B semigroup are characterized and the relationship between

∼

\sim

admissible congruences and

∼

\sim

normal congruences is investigated. In particular, some properties of such congruences on a weakly type B semigroup are given using an approach of kernel-trace. Finally, we extend the congruence pair on an inverse semigroup to the case of a weakly type B semigroup and obtain some results.

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弱B型半群上一个可容许同余的刻画

本文刻画了弱型B半群上的~ \sim可容许同余和~ \sim正规同余的概念，并研究了~ \sim可容许同余和~ \sim正规同余之间的关系。特别地，利用核迹的方法给出了弱型B半群上这类同余的一些性质。最后，将逆半群上的同余对推广到弱型B半群上，得到了一些结果。

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

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: