English

The Todd-Coxeter Algorithm for Semigroups and Monoids

Group Theory 2024-03-11 v2 Rings and Algebras

Abstract

In this paper we provide an account of the Todd-Coxeter algorithm for computing congruences on semigroups and monoids. We also give a novel description of an analogue for semigroups of the so-called Felsch strategy from the Todd-Coxeter algorithm for groups.

Keywords

Cite

@article{arxiv.2203.11148,
  title  = {The Todd-Coxeter Algorithm for Semigroups and Monoids},
  author = {T. D. H. Coleman and J. D. Mitchell and F. L. Smith and M. Tsalakou},
  journal= {arXiv preprint arXiv:2203.11148},
  year   = {2024}
}

Comments

42 pages, 16 figures, 11 tables, updated according to referee's comments, to appear in Semigroup Forum

R2 v1 2026-06-24T10:20:50.364Z