On nominal sets with support-preorder

IF 0.6 Q3 MATHEMATICS

Categories and General Algebraic Structures with Applications Pub Date : 2022-07-01 DOI:10.52547/cgasa.2022.102623

Aliyeh Hossinabadi, M. Haddadi, Khadijeh Keshvardoost

引用次数: 1

Abstract

. Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We also examine the topological properties of support topology, in particular separation axioms.

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关于具有支持预序的标称集

．每个标称集𝑋都可以配备一个由支持概念定义的预购关系⪯，即所谓的支持-预购。这个预购也引导我们到每个标称集上的支持拓扑。本文研究了支持预定标称集及其范畴性质。我们还研究了支持拓扑的拓扑性质，特别是分离公理。

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

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.