<?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%">De Biao Li</style></author><author><style face="normal" font="default" size="100%">Fernandes, Vítor H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On semigroups of orientation-preserving partial permutations with restricted range</style></title><secondary-title><style face="normal" font="default" size="100%">Publicationes Mathematicae Debrecen (DOI 10.5486/PMD.2026.10061)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2026</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://publi.math.unideb.hu/contents.php</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">108</style></volume><pages><style face="normal" font="default" size="100%">1-24</style></pages><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let $\Omega_n$ be a finite chain with $n$ elements $(n\in\mathbb{N})$, and let $\mathcal{POPI}_{n}$ be the semigroup of all injective orientation-preserving partial transformations of $\Omega_n$. In this paper, for any nonempty subset $Y$ of $\Omega_n$, we consider the subsemigroup $\mathcal{POPI}_{n}(Y)$ of $\mathcal{POPI}_{n}$ of all transformations with range contained in $Y$. We describe the Green's relations and study the regularity of $\mathcal{POPI}_{n}(Y)$. Moreover, we calculate the rank of $\mathcal{POPI}_{n}(Y)$ and determine when two semigroups of this type are isomorphic.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1-2</style></issue></record></records></xml>