Abundant semigroups with medial idempotents

IF 0.6 Q3 MATHEMATICS

Categories and General Algebraic Structures with Applications Pub Date : 2021-01-01 DOI:10.52547/cgasa.15.1.1

A. El-Qallali

引用次数: 1

Abstract

The effect of the existence of a medial or related idempotent in any abundant semigroup is the subject of this paper. The aim is to naturally order any abundant semigroup S which contains an ample multiplicative medial idempotent u in a way that L∗ and R∗ are compatible with the natural order and u is a maximum idempotent. The structure of an abundant semigroup containing an ample normal medial idempotent studied in [6] will be revisited.

查看原文本刊更多论文

具有中间幂等的丰富半群

本文讨论了在任意充裕半群中存在中幂等或相关幂等的效应。目的是在L *和R *与自然序相容且u是极大幂等的条件下，对含有充足的乘法幂等u的任意丰富半群S进行自然序。在[6]中研究的包含充足的正规中幂等的丰富半群的结构将被重新审视。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Categories and General Algebraic Structures with Applications MATHEMATICS-

CiteScore

1.40

自引率

11.10%

发文量

审稿时长

8 weeks

期刊介绍： Categories and General Algebraic Structures with Applications is an international journal published by Shahid Beheshti University, Tehran, Iran, free of page charges. It publishes original high quality research papers and invited research and survey articles mainly in two subjects: Categories (algebraic, topological, and applications in mathematics and computer sciences) and General Algebraic Structures (not necessarily classical algebraic structures, but universal algebras such as algebras in categories, semigroups, their actions, automata, ordered algebraic structures, lattices (of any kind), quasigroups, hyper universal algebras, and their applications.