The Todd–Coxeter algorithm for semigroups and monoids-Reference-Cited by-同舟云学术

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The Todd–Coxeter algorithm for semigroups and monoids

Published:2024-05-03 Issue:3 Volume:108 Page:536-593
ISSN:0037-1912
Container-title:Semigroup Forum
language:en
Short-container-title:Semigroup Forum

Author:

Coleman T. D. H.^ORCID,Mitchell J. D.^ORCID,Smith F. L.^ORCID,Tsalakou M.^ORCID

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00233-024-10431-z.pdf

Reference38 articles.

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3. Boone, W.W.: The word problem. Proc. Natl. Acad. Sci. 44, 1061–1065 (1958). https://doi.org/10.1073/pnas.44.10.1061

4. Cain, A.J., Maltcev, V.: Decision problems for finitely presented and one-relation semigroups and monoids. Int. J. Algebra Comput. 19, 747–770 (2009). https://doi.org/10.1142/s0218196709005366

5. Cannon, J.J., Dimino, L.A., Havas, G., Watson, J.M.: Implementation and analysis of the Todd–Coxeter algorithm. Math. Comput. 27, 463–490 (1973). https://doi.org/10.2307/2005654

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