<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Caneco, Rita</style></author><author><style face="normal" font="default" size="100%">Fernandes, Vítor H.</style></author><author><style face="normal" font="default" size="100%">Quinteiro, Teresa M.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Ranks and presentations of some normally ordered inverse semigroups</style></title><secondary-title><style face="normal" font="default" size="100%">Periodica Mathematica Hungarica (DOI 10.1007/s10998-022-00448-8)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2022</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1007/s10998-022-00448-8</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%"> 85</style></volume><pages><style face="normal" font="default" size="100%">435–447</style></pages><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we compute the rank and exhibit a presentation for the monoids&lt;br /&gt;
of all $P$-stable and $P$-order preserving partial permutations on a finite set&lt;br /&gt;
$\Omega$, with $P$ an ordered uniform partition of $\Omega$. These (inverse)&lt;br /&gt;
semigroups constitute a natural class of generators of the pseudovariety of&lt;br /&gt;
inverse semigroups ${\sf NO}$ of all normally ordered (finite) inverse&lt;br /&gt;
semigroups.&lt;/p&gt;
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