是什么让石头拓扑代数成为无限的

IF 0.6 4区 数学 Q3 MATHEMATICS Algebra Universalis Pub Date : 2023-01-29 DOI:10.1007/s00012-023-00804-w
Jorge Almeida, Herman Goulet-Ouellet, Ondřej Klíma
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引用次数: 0

摘要

本文有助于理解Stone空间上的拓扑代数满足什么性质才是profinite。我们使用句法一致性来重新表述和简化一些已知性质的证明。我们还阐明了描述句法一致性的各种替代方法的作用,即通过有限项集和代数的连续自映射的紧集。
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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What makes a Stone topological algebra Profinite

This paper is a contribution to understanding what properties should a topological algebra on a Stone space satisfy to be profinite. We reformulate and simplify proofs for some known properties using syntactic congruences. We also clarify the role of various alternative ways of describing syntactic congruences, namely by finite sets of terms and by compact sets of continuous self mappings of the algebra.

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来源期刊
Algebra Universalis
Algebra Universalis 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
34
审稿时长
3 months
期刊介绍: Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.
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