<?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%">Gomes, Gracinda M. S.</style></author><author><style face="normal" font="default" size="100%">Jesus, Manuel M.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The cardinal and the idempotent number of various monoids of transformations on a finite chain.</style></title><secondary-title><style face="normal" font="default" size="100%">Bulletin of the Malaysian Mathematical Sciences Society</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">monoids of transformations</style></keyword><keyword><style  face="normal" font="default" size="100%">numbers of idempotents</style></keyword><keyword><style  face="normal" font="default" size="100%">numbers of order-preserving transformations</style></keyword><keyword><style  face="normal" font="default" size="100%">numbers of orientation preserving transformations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">34</style></volume><pages><style face="normal" font="default" size="100%">79-85</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Summary: We consider various classes of monoids of transformations on a finite chain, in particular of transformations that preserve or reverse either the order or the orientation. Being finite monoids we are naturally interested in computing both their cardinals and their idempotent numbers. Fibonacci and Lucas numbers play an essential role in the last computations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue></record></records></xml>