FREE ADEQUATE SEMIGROUPS

DOI10.1017/S1446788711001753zbMath1247.20066arXiv0902.0297OpenAlexW2964351516MaRDI QIDQ5389477

Mark Kambites

Publication date: 20 April 2012

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0297

zbMATH Keywords

idempotentsword problemEhresmann semigroupsfree objectsMunn treesfree restriction semigroupsfree adequate semigroupsfree ample semigroups

Mathematics Subject Classification ID

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

Related Items (14)

The word problem for free adequate semigroups ⋮ On Ehresmann semigroups ⋮ Proper Ehresmann semigroups ⋮ Left adequate and left Ehresmann monoids. II. ⋮ Structure theorems for weakly \(B\)-abundant semigroups. ⋮ Product decompositions of semigroups induced by action pairs ⋮ Beyond orthodox semigroups. ⋮ The algebra of functions with antidomain and range ⋮ Weakly \(B\)-orthodox semigroups. ⋮ Domain and range for angelic and demonic compositions ⋮ Ehresmann monoids. ⋮ A tribute to John B. Fountain ⋮ Ehresmann monoids: adequacy and expansions ⋮ Matrix semigroups over semirings

Cites Work

• Left adequate and left Ehresmann monoids. II.
• A new construction for free inverse semigroups.
• The core of a graph
• A new construction for free inverse semigroups
• Topology of finite graphs
• Semigroups and ordered categories. I: The reduced case
• On free inverse semigroups
• Adequate Semigroups
• Retracts of trees and free left adequate semigroups
• LEFT ADEQUATE AND LEFT EHRESMANN MONOIDS
• THE FREE AMPLE MONOID
• Abundant Semigroups
• Free right type A semigroups
• Free Inverse Semigroups
• On the Core of a Graph^†
• Free inverse semigroups
• Restriction categories. I: Categories of partial maps

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