Embedding any countable semigroup in a 2-generated congruence-free semigroup

DOI10.1007/BF02573385zbMath0702.20045MaRDI QIDQ914849

Karl Byleen

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/135043

zbMATH Keywords

embedding theoremsdefining relationssemigroup actions2-generated semigroupscongruence free bisimple semigroupscongruence free semigroups without idempotentsmonoid embeddings

Mathematics Subject Classification ID

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

Related Items (7)

GROWTH OF GENERATING SETS FOR DIRECT POWERS OF CLASSICAL ALGEBRAIC STRUCTURES ⋮ On the growth of generating sets for direct powers of semigroups. ⋮ Finite semigroups embed in finitely presented congruence-free monoids. ⋮ A countable series of bisimple \(\mathcal H\)-trivial finitely presented congruence-free monoids. ⋮ A countable family of finitely presented infinite congruence-free monoids ⋮ Polyhedral convex cones and the equational theory of the bicyclic semigroup ⋮ A simple non-bisimple congruence-free finitely presented monoid.

Cites Work

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• Embedding semigroups in \({\mathcal D}\)-trivial semigroups
• Embedding semigroups in congruence-free semigroups
• Embedding Any Semigroup In a D -Simple Semigroup
• Embedding any countable semigroup in a 2-generated bisimple monoid
• Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents
• A class of bisimple, idempotent-generated congruence-free semigroups
• Embeddings into Simple Groups
• Embedding Theorems for Multiplicative Systems and Projective Geometries

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