Reference : Median algebra with a retraction: an example of variety closed under natural extension
Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23652
Median algebra with a retraction: an example of variety closed under natural extension
English
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
14-Jan-2016
The Logic Seminar (Università degli Studi di Milano and Università degli Studi dell'Insubria)
January 14, 2016
Università degli Studi di Milano and Università degli Studi dell'Insubria
Milan
Italy
[en] natural dualities ; natural extension ; median algebras
[en] The notion of natural extension can be defined for any algebra in an IRF-prevariety. In this talk, we introduce a way to extend functions between algebras to multifunctions between their natural extensions, and we give sufficient conditions under which we can assume that these multifunctions are functions. We illustrate these constructions for the variety of median algebras, and we prove that retractions over median algebras are preserved by natural extensions.
Researchers
http://hdl.handle.net/10993/23652

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