Completions for partially ordered semigroups

DOI10.1007/BF02573168zbMath0616.06013OpenAlexW1981588025MaRDI QIDQ1821128

J. Z. Reichman, Marcel Erné

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/134844

zbMATH Keywords

partially ordered semigroupsprincipal idealsreflective subcategoryresiduated semigrouplower endscategory of complete residuated semigroupsconditionable completionsstandard completionstandard extensions of posetsY-semigroups

Mathematics Subject Classification ID

Partial orders, general (06A06) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Complete lattices, completions (06B23) Ordered semigroups and monoids (06F05) Continuous lattices and posets, applications (06B35) Connections of semigroups with homological algebra and category theory (20M50) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (5)

A class of join-completions of partially ordered semigroups ⋮ Completions of posemigroups by cuts and beyond ⋮ The MacNeille completions for residuated \(S\)-posets ⋮ On countable completions of quotient ordered semigroups ⋮ On the coextension of cut-continuous pomonoids

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