A note on intersections of isotone clones

Demetrovics János and Rónyai Lajos: A note on intersections of isotone clones. In: Acta cybernetica, (10) 3. pp. 217-220. (1992)

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Abstract

We show that for every k > 3 there exists two chains P¡, Pi over a base set A, |A| = k such that the only isotone functions Pi and Pi have in common are the constants and projections. This settles a question raised by Demetrovics, Miyakawa, Rosenberg, Simovici and Stojmenovié. We prove a related result which generalizes the observation that two 3-element chains over the same ground set always admit a nontrivial common order preserving operation.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 1992
Volume: 10
Number: 3
ISSN: 0324-721X
Page Range: pp. 217-220
Language: English
Place of Publication: Szeged
Related URLs: http://acta.bibl.u-szeged.hu/38494/
Uncontrolled Keywords: Számítástechnika, Kibernetika
Additional Information: Bibliogr.: 220. p. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 15. 12:26
Last Modified: 2022. Jun. 13. 09:26
URI: http://acta.bibl.u-szeged.hu/id/eprint/12507

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