Frames Associated with an Abelian l-Group

DOI10.2307/2154008zbMath0765.54029OpenAlexW4238767305MaRDI QIDQ3993854

James J. Madden

Publication date: 13 August 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154008

zbMATH Keywords

lattice-ordered groupsArchimedean \(l\)- groupTychonoff localeYosida representation theorem

Mathematics Subject Classification ID

Equational categories (18C05) Continuous lattices and posets, applications (06B35) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10)

Related Items (15)

Representations of Archimedean Riesz spaces. - A survey ⋮ On the Archimedean kernels of function rings in pointfree topology ⋮ Epicomplete archimedean l-groups via a localic Yosida theorem ⋮ The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit ⋮ \(\kappa\)-frames ⋮ The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale ⋮ Presenting the frame of the unit circle. ⋮ On the universal completion of pointfree function spaces ⋮ Order representability in groups and vector spaces ⋮ Ring theory and pointfree topology. ⋮ \(C\)-epic compactifications ⋮ Monoreflections of Archimedean \(\ell\)-groups, regular \(\sigma\)-frames and regular Lindelöf frames ⋮ The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \) ⋮ On the localic Yosida representation of an archimedean lattice ordered group with weak order unit ⋮ On the function ring functor in pointfree topology

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