Extending maps to profinite completions in finitely generated quasivarieties

Reference : Extending maps to profinite completions in finitely generated quasivarieties


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/42651

Title :	Extending maps to profinite completions in finitely generated quasivarieties
Language :	English
Author, co-author :	Teheux, Bruno [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Hansoul, Georges []
Publication date :	2020
Journal title :	Beiträge zur Algebra und Geometrie
Publisher :	Springer
Volume :	61
Issue/season :	4
Pages :	627 - 647
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0138-4821
e-ISSN :	2191-0383
City :	Berlin
Country :	Germany
Keywords :	[en] Profinite completions ; Natural dualites ; Canonical extensions
Abstract :	[en] We consider the problem of extending maps from algebras to their profinite completions in finitely generated quasivarieties. Our developments are based on the construction of the profinite completion of an algebra as its natural extension. We provide an extension which is a multi-map and we study its continuity properties, and the conditions under which it is a map.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/42651
DOI :	10.1007/s13366-020-00492-w
Other URL :	https://doi.org/10.1007/s13366-020-00492-w

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