论车轮图的部分等分线单体

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-07-30 DOI:10.1142/s1793557123502388

V. H. Fernandes

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引用次数: 0

摘要

在本文中，我们考虑了具有 $n+1$ 个顶点的轮状图 $W_n$ 的所有部分等距的单元 $DPW_n$。我们的主要目标是确定 $DPW_n$ 的秩。在此过程中，我们还计算了 $DPW_n$ 的三个著名子半群的秩。我们还描述了 $DPW_n$ 及其三个子半群的格林关系。

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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On the monoid of partial isometries of a wheel graph

In this paper, we consider the monoid $DPW_n$ of all partial isometries of a wheel graph $W_n$ with $n+1$ vertices. Our main objective is to determine the rank of $DPW_n$. In the process, we also compute the ranks of three notable subsemigroups of $DPW_n$. We also describe Green's relations of $DPW_n$ and of its three considered subsemigroups.

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.