Structure of concordant semigroups

DOI10.1016/0021-8693(88)90057-9zbMath0653.20064OpenAlexW2049360145MaRDI QIDQ1107643

Sheena Armstrong

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90057-9

zbMATH Keywords

idempotentsregular semigroupsLipschitz conditionabundant semigroupsconcordant semigroups\({\mathcal L}^*\)-class\({\mathcal R}^*\)-classcategories of concordant semigroupscategory with left and right cancellation for morphismsidempotent-connectednessinductive cancellative categoriespolicy functions

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Mappings of semigroups (20M15) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (24)

Beyond regular semigroups ⋮ Finite abundant semigroups in which the idempotents form a subsemigroup. ⋮ Locally adequate semigroup algebras ⋮ Abundant semigroups whose idempotents satisfy permutation identities ⋮ An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups ⋮ Structure of concordant semigroups ⋮ An Ehresmann-Schein-Nambooripad-type theorem for a class of \(P\)-restriction semigroups ⋮ Ehresmann-Schein-Nambooripad theorems for classes of biunary semigroups ⋮ The structure of \(\mathcal Q^*\)-inverse semigroups. ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Beyond orthodox semigroups. ⋮ Weakly \(B\)-orthodox semigroups. ⋮ Congruences on abundant semigroups associated with {G}reen's \(*\)-relations ⋮ MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS ⋮ A tribute to John B. Fountain ⋮ Membership of \(\mathbf A\vee\mathbf G\) for classes of finite weakly abundant semigroups. ⋮ Unnamed Item ⋮ REES MATRIX COVERS FOR TIGHT ABUNDANT SEMIGROUPS ⋮ ON PSEUDO-EHRESMANN SEMIGROUPS ⋮ PRESENTATIONS FOR SEMIGROUPS AND SEMIGROUPOIDS ⋮ Cross-connection structure of concordant semigroups ⋮ Semigroups of Left Quotients—The Layered Approach ⋮ A tale of two categories: inductive groupoids and cross-connections ⋮ The Mathematical Work of K. S. S. Nambooripad

Cites Work

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