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A Connection Between Clone Theory and FCA Provided by Duality Theory

The aim of this paper is to show how Formal Concept Analysis can be used for the bene t of clone theory. More precisely, we show how a recently developed duality theory for clones can be used to dualize clones over bounded lattices into the framework of Formal Concept Analysis, where they can be investigated with techniques very di erent from those that universal algebraists are usually armed with. We also illustrate this approach with some small examples.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:14-qucosa-73938
Date02 August 2012
CreatorsKerkhoff, Sebastian
ContributorsTechnische Universität Dresden, Fakultät Mathematik und Naturwissenschaften
PublisherSaechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint
Formatapplication/pdf
Relationdcterms:isPartOf:Preprint / Technische Universität Dresden ; MATH-AL 2012,01

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