The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit

DOI10.1007/s10485-016-9449-8zbMath1403.06027OpenAlexW2498258436MaRDI QIDQ328652

Anthony W. Hager, James J. Madden

Publication date: 20 October 2016

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-016-9449-8

zbMATH Keywords

lattice-ordered groupweak unit\(H\)-closedArchimedean groupcountable compositionepimorphismimplicit operationmonoreflection

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Continua and generalizations (54F15) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale ⋮ Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit ⋮ Unnamed Item ⋮ The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \) ⋮ Comments on monoreflections in unital archimedean lattice-ordered groups and rings

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