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Document details

Ranks and presentations of some normally ordered inverse semigroups

Author(s): Caneco, Rita ; Fernandes, Vítor Hugo ; Quinteiro, Teresa

Date: 2022

Persistent ID: http://hdl.handle.net/10400.21/14683

Origin: Repositório Científico do Instituto Politécnico de Lisboa

Subject(s): Transformations; Normally ordered inverse semigroups; Ranks; Presentations; Transformations; Transformations; Normally ordered inverse semigroups; Normally ordered inverse semigroups; Ranks; Ranks; Presentations; Presentations

Description

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 Omega, with P an ordered uniform partition of Omega. These (inverse) semigroups constitute a natural class of generators of the pseudovariety of inverse semigroups N O of all normally ordered (finite) inverse semigroups.

Document Type Journal article
Language English
Contributor(s) RCIPL

Document details

Ranks and presentations of some normally ordered inverse semigroups

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