<?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%">Endomorphisms of semigroups of oriented transformations</style></title><secondary-title><style face="normal" font="default" size="100%">Semigroup Forum (DOI 10.1007/s00233-022-10325-y; Online 2 Dec 2022)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2023</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://rdcu.be/c0TKs</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">106</style></volume><pages><style face="normal" font="default" size="100%">184–210</style></pages><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we characterize the monoid of endomorphisms of the semigroup of all oriented full transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup of all oriented partial transformations and the monoid of endomorphisms of the semigroup of all oriented partial permutations of a finite chain. Characterizations of the monoids of endomorphisms of the subsemigroups of all orientation-preserving transformations of the three semigroups aforementioned are also given. In addition, we compute the number of endomorphisms of each of these six semigroups.&lt;/p&gt;
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