Ranks and presentations of some normally ordered inverse semigroups

Caneco, Rita; Fernandes, Vítor Hugo; Quinteiro, Teresa

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

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Authors

Caneco, Rita

Fernandes, Vítor Hugo

Quinteiro, Teresa

Abstract(s)

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.

Keywords

Transformations Normally ordered inverse semigroups Ranks Presentations

URI

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

Citation

CANECO, Rita; FERNANDES, Vítor H.; QUINTEIRO, Teresa M. – Ranks and presentations of some normally ordered inverse semigroups. Periodica Mathematica Hungarica. ISSN 0031-5303. Vol. 85, N.º 2 (2022), pp. 435-447.