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Clones preserving a quasi-order

  • It is proved that if a finite non-trivial quasi-order is nota linear order then there exist continuum many clones, whichconsist of functions preserving the quasi-order and containall unary functions with this property. It is shown that, fora linear order on a three-element set, there are only 7 suchclones

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Author:Andrei A. Krokhin, Dietmar Schweigert
URN (permanent link):urn:nbn:de:hbz:386-kluedo-7995
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (304)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):03-XX MATHEMATICAL LOGIC AND FOUNDATIONS / 03Bxx General logic / 03B50 Many-valued logic
08-XX GENERAL ALGEBRAIC SYSTEMS / 08Axx Algebraic structures [See also 03C05] / 08A40 Operations, polynomials, primal algebras
08-XX GENERAL ALGEBRAIC SYSTEMS / 08Axx Algebraic structures [See also 03C05]
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011