The Todd–Coxeter algorithm for semigroups and monoids

Tom Coleman; James David Mitchell; Maria Tsalakou; Finlay Laughlan Smith

doi:10.1007/s00233-024-10431-z

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 journal › Article › peer-review

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.

Original language	English
Journal	Semigroup Forum
Early online date	3 May 2024
DOIs	https://doi.org/10.1007/s00233-024-10431-z
Publication status	E-pub ahead of print - 3 May 2024

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10.1007/s00233-024-10431-zLicence: CC BY

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Final published version, 1.18 MBLicence: CC BY

https://arxiv.org/abs/2203.11148

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title = "The Todd–Coxeter algorithm for semigroups and monoids",

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.",

author = "Tom Coleman and Mitchell, \{James David\} and Maria Tsalakou and Smith, \{Finlay Laughlan\}",

note = "The third author was supported by the EPSRC doctoral training partnership number EP/N509759/1 when working on this project. The fourth author would like to thank the School of Mathematics and Statistics of the University of St Andrews and the Cyprus State Scholarship Foundation for their financial support.",

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AU - Mitchell, James David

AU - Tsalakou, Maria

AU - Smith, Finlay Laughlan

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AB - 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.

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The Todd–Coxeter algorithm for semigroups and monoids

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The Todd–Coxeter algorithm for semigroups and monoids

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