A presentation of the singular part of the symmetric inverse monoid

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20 Citations (Scopus)

Abstract

We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite set. Along the way, we derive a monoid presentation of the monoid of all order-preserving injective partial transformations on a finite chain, which differs from the presentation discovered by Fernandes.
Original languageEnglish
Pages (from-to)1671-1689
Number of pages19
JournalCommunications in Algebra
Volume34
Issue number5
DOIs
Publication statusPublished - 2006

Keywords

  • monoids
  • presentation

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