THE FREE AMPLE MONOID

DOI10.1142/S0218196709005214zbMath1192.20041MaRDI QIDQ3637973

Gracinda M. S. Gomes, Victoria Gould, J. B. Fountain

Publication date: 14 July 2009

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

semidirect productsfree monoidsrestriction semigroupstype A semigroupssymmetric inverse semigroupsample semigroups\(E\)-ample semigroupsfree ample monoids

Mathematics Subject Classification ID

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

Related Items (38)

PROPER COVERS OF RESTRICTION SEMIGROUPS AND W-PRODUCTS ⋮ Algebraic properties of Zappa-Szép products of semigroups and monoids ⋮ On Ehresmann semigroups ⋮ Varieties of regular semigroups with uniquely defined inversion ⋮ Proper Ehresmann semigroups ⋮ Left adequate and left Ehresmann monoids. II. ⋮ On the structure of glrac semigroups ⋮ On graph products of monoids ⋮ A common framework for restriction semigroups and regular \(*\)-semigroups. ⋮ Coherency, free inverse monoids and related free algebras ⋮ Proper two-sided restriction semigroups and partial actions. ⋮ Product decompositions of semigroups induced by action pairs ⋮ Beyond orthodox semigroups. ⋮ On lattices of varieties of restriction semigroups. ⋮ Free Kleene algebras with domain ⋮ Embedding of a restriction semigroup into a \(W\)-product. ⋮ FREE ADEQUATE SEMIGROUPS ⋮ Ehresmann monoids. ⋮ Embedding in factorisable restriction monoids ⋮ Restriction semigroups and \(\lambda\)-Zappa-Szép products ⋮ Proper restriction semigroups -- semidirect products and \(W\)-products. ⋮ Varieties ofP-Restriction Semigroups ⋮ A tribute to John B. Fountain ⋮ Embedding Into Almost Left Factorizable Restriction Semigroups ⋮ Congruences on ample semigroups ⋮ Ehresmann monoids: adequacy and expansions ⋮ A network of congruences on an ample semigroup ⋮ Extensions and covers for semigroups whose idempotents form a left regular band. ⋮ Matrix semigroups over semirings ⋮ Retracts of trees and free left adequate semigroups ⋮ Almost factorizable glrac semigroups ⋮ LEFT ADEQUATE AND LEFT EHRESMANN MONOIDS ⋮ Two-sided expansions of monoids ⋮ THE SEMIGROUPS B₂ AND B₀ ARE INHERENTLY NONFINITELY BASED, AS RESTRICTION SEMIGROUPS ⋮ Partial monoid actions and a class of restriction semigroups. ⋮ On labeled birooted tree languages: algebras, automata and logic ⋮ The semigroup ring of a restriction semigroup with an inverse skeleton. ⋮ The lattice of (2, 1)-congruences on a left restriction semigroup

Cites Work

• Connections between left adequate semigroups and gamma-semigroups
• Embedding theorems for proper inverse semigroups
• Finite proper covers in a class of finite semigroups with commuting idempotents
• Guarded and banded semigroups.
• Function systems
• Relation algebras and function semigroups
• THE STRUCTURE OF TYPE A SEMIGROUPS
• Free right type A semigroups
• E-unitary congruences on inverse semigroups
• A CLASS OF RIGHT PP MONOIDS
• Enlargements, semiabundancy and unipotent monoids¹
• GRAPH EXPANSIONS OF RIGHT CANCELLATIVE MONOIDS
• PROPER WEAKLY LEFT AMPLE SEMIGROUPS
• Graph expansions of unipotent monoids
• PROPER COVERS OF AMPLE MONOIDS
• FAITHFUL FUNCTORS FROM CANCELLATIVE CATEGORIES TO CANCELLATIVE MONOIDS WITH AN APPLICATION TO ABUNDANT SEMIGROUPS
• The Szendrei expansion of a semigroup
• Free inverse semigroups
• An invitation to \(C\)-semigroups
• Restriction categories. I: Categories of partial maps

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