## 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

Author: Andrei A. Krokhin, Dietmar Schweigert urn:nbn:de:hbz:386-kluedo-7995 Preprints (rote Reihe) des Fachbereich Mathematik (304) Preprint English 1999 1999 Technische Universität Kaiserslautern Fachbereich Mathematik 510 Mathematik 03B50 Many-valued logic 08A40 Operations, polynomials, primal algebras 08Axx Algebraic structures [See also 03C05]

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