On the foundations of inverse monoids and inverse algebras

DOI10.1017/S0013091500019398zbMath0909.20048OpenAlexW1972641171MaRDI QIDQ4400095

Jonathan Leech

Publication date: 8 April 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500019398

zbMATH Keywords

completenessinverse monoidsinverse semigroupsmeet semilatticesdivision categoriesmonoids of partial symmetries

Mathematics Subject Classification ID

Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (3)

(Co)homology of cyclic monoids ⋮ Low Growth Equational Complexity ⋮ Representations of inverse semigroups in complete atomistic inverse meet-semigroups

Cites Work

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• The \({\mathcal D}\)-category of a monoid
• Constructing inverse monoids from small categories
• The geometric theory of inverse semigroups. I: E-unitary inverse semigroups
• Inverse Monoids With a Natural Semilattice Ordering

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