Ranks and presentations of some normally ordered inverse semigroups

Rita Caneco; Vítor H. Fernandes; Teresa M. Quinteiro

doi:10.1007/s10998-022-00448-8

Ranks and presentations of some normally ordered inverse semigroups

Rita Caneco, Vítor H. Fernandes, Teresa M. Quinteiro

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	435-447
Number of pages	13
Journal	Periodica Mathematica Hungarica
Volume	85
Issue number	2
DOIs	https://doi.org/10.1007/s10998-022-00448-8
Publication status	Published - Dec 2022

Keywords

Normally ordered inverse semigroups
Presentations
Ranks
Transformations

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10.1007/s10998-022-00448-8

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abstract = "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.",

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AU - Quinteiro, Teresa M.

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KW - Ranks

KW - Transformations

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Ranks and presentations of some normally ordered inverse semigroups

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Keywords

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