Symmetric groupoids, free categories and E*-unitary inverse monoids

DOI10.1017/S0308210500031036zbMath0944.20046MaRDI QIDQ4934081

Jonathan Leech

Publication date: 2 March 2000

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse monoidsgraph algebrasfree categoriesordered groupoidssymmetric groupoids\(E\)-unitary monoidssmall categories of isomorphisms

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Graphs, diagram schemes, precategories (18A10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (1)

PARTIALIZATION OF CATEGORIES AND INVERSE BRAID-PERMUTATION MONOIDS

Cites Work

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• Catégories inductives et pseudogroupes
• The \({\mathcal D}\)-category of a monoid
• Constructing inverse monoids from small categories
• Normal bands and their inverse semigroups of bicongruences
• Constructing inverse semigroups from category actions
• The geometric theory of inverse semigroups. I: E-unitary inverse semigroups
• Inverse Monoids With a Natural Semilattice Ordering

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