<?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%">Fernandes, Vítor H.</style></author><author><style face="normal" font="default" size="100%">Paulista, Tânia</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the Rank of Monoids of Endomorphisms of a Finite Directed Path</style></title><secondary-title><style face="normal" font="default" size="100%">Asian-European Journal of Mathematics (DOI 10.1142/S1793557123500699; Online 28 Oct 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://doi.org/10.1142/S1793557123500699</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">16</style></volume><pages><style face="normal" font="default" size="100%">2350069 (13 pages)</style></pages><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider endomorphisms of a finite directed path from monoid generators perspective. Our main aim is to determine the rank of the monoid wEndP_n of all weak endomorphisms of a directed path with n vertices, which is a submonoid of the widely studied monoid O_n of all order-preserving transformations of a n-chain. Also, we describe the regular elements of wEndP_n and calculate its size and number of idempotents.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">04</style></issue></record></records></xml>