REWRITING A SEMIGROUP PRESENTATION

DOI10.1142/S0218196795000070zbMath0822.20058OpenAlexW2057492084MaRDI QIDQ4697879

Colin M. Campbell, Richard M. Thomas, Edmund F. Robertson, Nikola Ruškuc

Publication date: 5 October 1995

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196795000070

zbMATH Keywords

idempotentspresentationsfinitely presented groupsfinitely presented semigroupsactionsminimal two-sided idealminimal right idealsFibonacci semigroupsRees matrix semigroup over a groupReidemeister-Schreier rewritingrewriting defining relationsTodd-Coxeter enumeration

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05)

Related Items (11)

FINITE PRESENTABILITY OF SEMIGROUP CONSTRUCTIONS ⋮ Reidemeister-Schreier type rewriting for semigroups ⋮ Matrix semigroups -- generators and relations ⋮ Fibonacci Type Semigroups ⋮ Presentations for subsemigroups -- applications to ideals of semigroups ⋮ Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup. ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ Free idempotent generated semigroups and endomorphism monoids of independence algebras ⋮ One-sided noncommutative Gröbner bases with applications to computing Green's relations ⋮ Presentations for subgroups of monoids ⋮ Syntactic and Rees indices of subsemigroups

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