New results on the conjecture of Rhodes and on the topological conjecture

DOI10.1016/0022-4049(92)90148-9zbMath0790.20076OpenAlexW2091244596WikidataQ123240973 ScholiaQ123240973MaRDI QIDQ1196825

Stuart W. Margolis, Jean-Eric Pin

Publication date: 16 January 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90148-9

zbMATH Keywords

free monoidconjecture of Rhodesfinite group topologykernel of a finite semigrouptopological conjecturetype II conjecture

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Free semigroups, generators and relations, word problems (20M05) Mappings of semigroups (20M15)

Related Items (1)

Retracts of free monoids are nowhere dense with respect to finite group topologies and p-adic topologies

Cites Work

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• On a conjecture of Rhodes
• Topologies for the free monoid
• Type-II conjecture is true for finite \(\mathcal J\)-trivial monoids
• Improved lower bounds for the complexity of finite semigroups
• Semigroups whose idempotents form a subsemigroup
• INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
• A topological approach to a conjecture of Rhodes
• A Conjecture on the Hall Topology for the Free Group
• ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
• On The Profinite Topology on a Free Group

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