English

Classifications of quasitrivial semigroups

Rings and Algebras 2020-05-21 v1 Discrete Mathematics Combinatorics

Abstract

We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups, we address and solve several related enumeration problems.

Keywords

Cite

@article{arxiv.1811.11113,
  title  = {Classifications of quasitrivial semigroups},
  author = {Jimmy Devillet and Jean-Luc Marichal and Bruno Teheux},
  journal= {arXiv preprint arXiv:1811.11113},
  year   = {2020}
}
R2 v1 2026-06-23T06:22:21.560Z