The Todd–Coxeter algorithm for semigroups and monoids

Tom Coleman, James David Mitchell*, Maria Tsalakou, Finlay Laughlan Smith

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
JournalSemigroup Forum
Early online date3 May 2024
Publication statusE-pub ahead of print - 3 May 2024


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