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Injective hulls for ordered algebras

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Publication:334971
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DOI10.1007/s00012-016-0404-1zbMath1404.06015OpenAlexW2510847153WikidataQ114232181 ScholiaQ114232181MaRDI QIDQ334971

Valdis Laan, Xia Zhang

Publication date: 1 November 2016

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-016-0404-1


zbMATH Keywords

injectivityinjective hullordered algebrasup-algebra


Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Categories of algebras (08C05) Quantales (06F07) Injectives, projectives (08B30)


Related Items

Quantale-valued sup-algebras ⋮ Sup-algebra completions and injective hulls of ordered algebras ⋮ Unnamed Item ⋮ Reflectors to quantales ⋮ The MacNeille completions for residuated \(S\)-posets ⋮ Epimorphisms of \(S\)-quantales ⋮ Correction to: ``Injective hulls for ordered algebras ⋮ On injective constructions of \(S\)-semigroups ⋮ Another look on tense and related operators



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • On injective hulls of \(S\)-posets
  • Varieties of ordered algebras
  • Injectives in non-distributive equational classes of lattices are trivial
  • Algebraic and Categorical Aspects of Quantales
  • Injective hulls for posemigroups
  • Quotients and subalgebras of sup-algebras
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