A monoidal interval of isotone clones on a finite chain

Krokhin, A.; Larose, B.

Abstract

Let k denote a k-element chain, k3. Let M denote the clone generated by all unary isotone operations on k and let Pol denote the clone of all isotone operations on k. We investigate the interval of clones [MPol]. Among other results, we describe completely those clones which contain only join (or meet) homomorphisms, and describe the interval completely for k4.

Citation

Krokhin, A., & Larose, B. (2002). A monoidal interval of isotone clones on a finite chain. Acta scientiarum mathematicarum, 68(1-2), 37-62

• Journal Article Type: Article
• Publication Date: Jan 1, 2002
• Deposit Date: Mar 29, 2010
• Publicly Available Date: Jun 14, 2010
• Journal: Acta scientiarum mathematicarum
• Print ISSN: 0001-6969
• Electronic ISSN: 2064-8316
• Publisher: Bolyai Institute, University of Szeged
• Peer Reviewed: Peer Reviewed
• Volume: 68
• Issue: 1-2
• Pages: 37-62
• Public URL: https://durham-repository.worktribe.com/output/1589172
• Publisher URL: http://www.acta.hu/