University of Luxembourg [Luxembourg] (Campus Kirchberg
6, rue Richard Coudenhove-Kalergi
L-1359 Luxembourg
Campus de Limpertsberg
162a, avenue de la Faïencerie
L-1511 Luxembourg
Campus de Belval
2, avenue de l'Université
L-4365 Esch-sur-Alzette - Luxembourg)
Abstract : We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine explicitly the sizes of these classes when the semigroups are defined on finite sets. As a byproduct of these enumerations, we obtain several new integer sequences.
https://hal.inria.fr/hal-01826868
Contributor : Miguel Couceiro <>
Submitted on : Monday, July 2, 2018 - 3:53:23 PM Last modification on : Friday, November 8, 2019 - 3:06:02 PM Long-term archiving on: : Monday, October 1, 2018 - 9:37:18 AM