Inverse monoids and rational subsets of related groups

DOI10.1007/BF02573550zbMath0807.20048MaRDI QIDQ1206788

Joseph B. Stephen

Publication date: 1 April 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135216

zbMATH Keywords

congruencesinverse monoidsrational subsetsgenerators and relations\(E\)- unitary inverse monoidsfree involutory monoidsgenerator sequencesprefix sequences

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35) Inverse semigroups (20M18)

Related Items (7)

Submonoids and rational subsets of groups with infinitely many ends. ⋮ On one-relator monoids and one-relator groups ⋮ Amalgamated free products of inverse semigroups ⋮ Decision problems for inverse monoids presented by a single sparse relator. ⋮ Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups ⋮ Algorithmic properties of inverse monoids with hyperbolic and tree-like Schützenberger graphs ⋮ On one-relator groups and units of special one-relation inverse monoids

Cites Work

• Presentations of inverse monoids
• Inverse monoids and rational Schreier subsets of the free group
• The word problem of inverse monoids presented by one idempotent relator
• Free Inverse Semigroups
• Free inverse semigroups
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