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https://hdl.handle.net/10316/114101| Title: | What makes a Stone topological algebra Profinite | Authors: | Almeida, Jorge Goulet-Ouellet, Herman Klíma, Ondřej |
Keywords: | Stone topological algebra; Profinite algebra; Syntactic congruence | Issue Date: | 2023 | Publisher: | Springer Nature | Project: | UID/MAT/00144/2020 SFRH/BSAB/142872/2018 UIDB/00324/2020 UIDB/00144/2020 PD/BD/150350/2019 Grant 19-12790S of the Grant Agency of the Czech Republic |
Serial title, monograph or event: | Algebra Universalis | Volume: | 84 | Issue: | 1 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/114101 | ISSN: | 0002-5240 1420-8911 |
DOI: | 10.1007/s00012-023-00804-w | Rights: | openAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| What-makes-a-Stone-topological-algebra-ProfiniteAlgebra-Universalis.pdf | 483.59 kB | Adobe PDF | View/Open |
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