Ranks and presentations of some normally ordered inverse semigroups

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In this paper we compute the rank and exhibit a presentation for the monoids of all P-stable and P-order preserving partial permutations on a finite set Ω , with P an ordered uniform partition of Ω. These (inverse) semigroups constitute a natural class of generators of the pseudovariety of inverse semigroups NO of all normally ordered (finite) inverse semigroups.

Original languageEnglish
Pages (from-to)435-447
Number of pages13
JournalPeriodica Mathematica Hungarica
Issue number2
Publication statusPublished - Dec 2022


  • Normally ordered inverse semigroups
  • Presentations
  • Ranks
  • Transformations


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