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Presentations for Two Extensions of the Monoid of Order-Preserving Mappings on a Finite Chain

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Southeast Asian Bulletin of Mathematics

Abstract

The purpose of this paper is to give presentations for the monoids of orientation-preserving mappings on a finite chain of order n, and orientation-preserving or reversing mappings on such a chain. Both these monoids are natural extensions of the monoid of order-preserving mappings. The obtained presentations are on two and three generators, respectively, and have n + 2 and n + 6 relations, respectively.

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Authors and Affiliations

  1. Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland

    Robert E. Arthur & N. Ruškuc

Authors
  1. Robert E. Arthur
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  2. N. Ruškuc
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Correspondence to Robert E. Arthur.

Additional information

AMS Subject Classification (1991): 20M05 20M20 06A05

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Arthur, R.E., Ruškuc, N. Presentations for Two Extensions of the Monoid of Order-Preserving Mappings on a Finite Chain. SEA bull. math. 24, 1–7 (2000). https://doi.org/10.1007/s10012-000-0001-1

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  • DOI: https://doi.org/10.1007/s10012-000-0001-1

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