On injective hulls of \(S\)-posets

DOI10.1007/S00233-014-9646-4zbMath1346.06010OpenAlexW2462312553WikidataQ114230656 ScholiaQ114230656MaRDI QIDQ896231

Xia Zhang, Valdis Laan

Publication date: 9 December 2015

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

Full work available at URL: https://doi.org/10.1007/s00233-014-9646-4

zbMATH Keywords

injectivityinjective hull\(S\)-poset\(S\)-quantal

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50) Quantales (06F07) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (11)

Sup-algebra completions and injective hulls of ordered algebras ⋮ Injective hulls for ordered algebras ⋮ Unnamed Item ⋮ Reflectors to quantales ⋮ Completions of posemigroups by cuts and beyond ⋮ On categorical aspects of \(S\)-quantales ⋮ The MacNeille completions for residuated \(S\)-posets ⋮ Free and cofree \(S\)-quantales ⋮ Epimorphisms of \(S\)-quantales ⋮ On injective constructions of \(S\)-semigroups ⋮ Injective hulls of many-sorted ordered algebras

Cites Work

• Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.
• Completion of \(S\)-posets
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• The category of \(S\)-posets.
• On homological classification of pomonoids by regular weak injectivity properties of \(S\)-posets
• Injective hulls for posemigroups
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