Syntactic and Rees indices of subsemigroups

DOI10.1006/jabr.1997.7392zbMath0914.20053OpenAlexW2007572576MaRDI QIDQ1270378

K. Appert

Publication date: 20 June 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7392

zbMATH Keywords

congruencesequivalencesfinite presentationsgroup indexRees indexsyntactic indexindex for subsemigroupsleft syntactic indexright syntactic index

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Free semigroups, generators and relations, word problems (20M05) Subalgebras, congruence relations (08A30)

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AUTOMATIC SEMIGROUPS WITH SUBSEMIGROUPS OF FINITE REES INDEX ⋮ On residual finiteness of direct products of algebraic systems ⋮ PRESENTATIONS OF INVERSE SEMIGROUPS, THEIR KERNELS AND EXTENSIONS ⋮ Markov semigroups, monoids and groups ⋮ On disjoint unions of finitely many copies of the free monogenic semigroup. ⋮ On residual finiteness of monoids, their Schützenberger groups and associated actions. ⋮ Homotopy bases and finite derivation type for subgroups of monoids. ⋮ Green index in semigroups: generators, presentations, and automatic structures. ⋮ IDEALS AND FINITENESS CONDITIONS FOR SUBSEMIGROUPS ⋮ Subsemigroup, ideal and congruence growth of free semigroups ⋮ Quasi-automatic semigroups ⋮ Green index and finiteness conditions for semigroups. ⋮ Presentations for subgroups of monoids ⋮ Generators and relations of direct products of semigroups ⋮ Automatic semigroups ⋮ Non-finitely generated maximal subgroups of context-free monoids

Cites Work

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• Recursive unsolvability of group theoretic problems
• Presentations for subsemigroups -- applications to ideals of semigroups
• Reidemeister-Schreier type rewriting for semigroups
• On subsemigroups of finitely presented semigroups
• Coset Enumeration in a Finitely Presented Semigroup
• DETERMINING IDEALS OF A GIVEN FINITE INDEX IN A FINITELY PRESENTED SEMIGROUP
• On semigroup presentations
• ON SUBSEMIGROUPS AND IDEALS IN FREE PRODUCTS OF SEMIGROUPS
• Structure Results for Transitive, Untwisted, Superlinked Finite Covers
• REWRITING A SEMIGROUP PRESENTATION
• Some Remarks on Semigroup Presentations
• A practical method for enumerating cosets of a finite abstract group