Presentations for two extensions of the monoid of order-preserving mappings on a finite chain
type: Item
instance of: scholarly article
title: Presentations for two extensions of the monoid of order-preserving mappings on a finite chain
zbMATH Open document ID: 0973.20049
author: Robert E. Arthur
author: N. Ruškuc
published in: Southeast Asian Bulletin of Mathematics
publication date: 2001-08-30T00:00:00Z
review text: The article gives a new presentation for the monoid of orientation-preserving mappings on the set \(\{1,\ldots,n\}\) having two generators and \(n+2\) relations. Applying this result to orientation-preserving or reversing mappings on this set the authors obtain a presentation having three generators and \(n+6\) relations.
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 06A05
zbMATH DE Number: 1533388
zbMATH Keywords: presentations
zbMATH Keywords: monoids of orientation preserving maps
zbMATH Keywords: monoids of orientation reversing maps
zbMATH Keywords: generators
zbMATH Keywords: relations
reviewed by: Peeter Normak
MaRDI profile type: Publication
full work available at URL: s10012-000-0001-1
OpenAlex ID: W2012260008
DOI: 10.1007/S10012-000-0001-1
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description: scientific article; zbMATH DE number 1533388