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: | urn:nbn:de:hbz:386-kluedo-7995 |
| Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (304) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1999 |
| Year of first Publication: | 1999 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Faculties / Organisational entities: | Kaiserslautern - 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 |