What makes a Stone topological algebra Profinite

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Almeida, J (Author) FCUP; Goulet Ouellet, H (Author) Other; Klima, O (Author) Other

Journal

Title: Algebra Universalis

Vol. 84

ISSN: 0002-5240

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00X-TYJ

DOI: 10.1007/s00012-023-00804-w

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23