Quasitrivial semigroups: characterizations and enumerations
Rings and Algebras
2019-05-10 v3 Discrete Mathematics
Combinatorics
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.
Cite
@article{arxiv.1709.09162,
title = {Quasitrivial semigroups: characterizations and enumerations},
author = {Miguel Couceiro and Jimmy Devillet and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:1709.09162},
year = {2019}
}