Caneco, RitaFernandes, Vítor HugoQuinteiro, Teresa2022-06-022022-06-022022-03-18CANECO, 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. 435-447.0031-5303http://hdl.handle.net/10400.21/14683In 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.engTransformationsNormally ordered inverse semigroupsRanksPresentationsjournal article10.1007/s10998-022-00448-81588-2829