Reference : Extending maps to profinite completions in finitely generated quasivarieties
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/42651
Extending maps to profinite completions in finitely generated quasivarieties
English
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Hansoul, Georges []
In press
Beiträge zur Algebra und Geometrie
Springer
Yes (verified by ORBilu)
International
0138-4821
2191-0383
Berlin
Germany
[en] Profinite completions ; Natural dualites ; Canonical extensions
[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.
Researchers
http://hdl.handle.net/10993/42651
10.1007/s13366-020-00492-w
https://doi.org/10.1007/s13366-020-00492-w

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