Type-II conjecture is true for finite \(\mathcal J\)-trivial monoids

DOI10.1016/0021-8693(92)90141-8zbMath0773.20029OpenAlexW1986686753WikidataQ123017095 ScholiaQ123017095MaRDI QIDQ1204565

Karsten Henckell, John L. Rhodes

Publication date: 29 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90141-8

zbMATH Keywords

idempotentsfinite groupfinite monoidcomputable functionrelational morphismconstructible type-II elementspower monoidstrong type-II conjectureweak type-II conjecture

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Mappings of semigroups (20M15)

Related Items (2)

John Rhodes and the theory of finite semigroups. ⋮ New results on the conjecture of Rhodes and on the topological conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Categories as algebra: An essential ingredient in the theory of monoids
• Reduction theorem for the type-II conjecture for finite monoids
• On the equation \(x^ t=x^{t+q}\) in categories
• On a conjecture of Rhodes
• Improved lower bounds for the complexity of finite semigroups
• Lower bounds for complexity of finite semigroups
• Semigroups whose idempotents form a subsemigroup
• On finite 0-simple semigroups and graph theory

This page was built for publication: Type-II conjecture is true for finite \(\mathcal J\)-trivial monoids