Cross-connection structure of concordant semigroups

DOI10.1142/S021819671950070XzbMath1452.20055arXiv1806.11031OpenAlexW2972898116WikidataQ114614815 ScholiaQ114614815MaRDI QIDQ5216195

K. S. S. Nambooripad, P. G. Romeo, Azeef Muhammed Parayil Ajmal

Publication date: 17 February 2020

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

Full work available at URL: https://arxiv.org/abs/1806.11031

zbMATH Keywords

dualcross-connectionsconcordant semigroupconsistent categoryconsistent factorizationinductive cancellative category

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Connections of semigroups with homological algebra and category theory (20M50) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

Compatible and discrete normal categories ⋮ A tale of two categories: inductive groupoids and cross-connections ⋮ The Mathematical Work of K. S. S. Nambooripad

Cites Work

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• Beyond regular semigroups
• The structure of type A semigroups
• Concordant semigroups and balanced categories.
• Structure of concordant semigroups
• Semigroups and ordered categories. I: The reduced case
• The structure of regular semigroups. II: Cross-connections
• The structure of regular semigroups. III: The reduced case
• Structure of regular semigroups. I: Fundamental regular semigroups
• The structure of regular semigroups. I: A representation
• One-to-one partial right translations of a right cancellative semigroup
• Relations between cross-connections and biordered sets
• Beyond orthodox semigroups.
• A tale of two categories: inductive groupoids and cross-connections
• D-semigroups and constellations
• Inductive groupoids and crossconnections of regular semigroups
• An Ehresmann-Schein-Nambooripad-type theorem for a class of \(P\)-restriction semigroups
• On regular semigroups
• Restriction Semigroups and Inductive Constellations
• The natural partial order on an abundant semigroup
• Structure of regular semigroups. I
• Abundant Semigroups
• Idempotent-connected abundant semigroups
• ON PSEUDO-EHRESMANN SEMIGROUPS
• FUNDAMENTAL INVERSE SEMIGROUPS
• Fundamental Ehresmann semigroups

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