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The \({\mathcal D}\)-category of a monoid

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Publication:1088006
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DOI10.1007/BF02573154zbMath0612.20035OpenAlexW1995555795MaRDI QIDQ1088006

Jonathan Leech

Publication date: 1986

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134830


zbMATH Keywords

monoiddivision categoryGreen's equivalence relationsinitial objectterminal objects


Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Connections of semigroups with homological algebra and category theory (20M50)


Related Items (5)

Constructing inverse monoids from small categories ⋮ On the foundations of inverse monoids and inverse algebras ⋮ On the foundations of inverse monoids and inverse algebras ⋮ On the foundations of inverse monoids and inverse algebras ⋮ Symmetric groupoids, free categories and E*-unitary inverse monoids



Cites Work

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  • Constructing inverse monoids from small categories
  • The \(\mathcal D\)-category of a semigroup
  • Extension theories for monoids
  • Equivalences between \(\mathcal D\)-categories of inverse monoids
  • Regular ω-semigroups
  • Note on the Projective Limit on Small Categories
  • Cohomology of inverse semigroups


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