The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \)

zbMath1473.06004MaRDI QIDQ2288231

Anthony W. Hager, Richard N. Ball

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

localeTychonoff spaceuniformly complete divisible Archimedan \(\ell\)-group

Mathematics Subject Classification ID

Frames, locales (06D22) Spectra in general topology (54B35) Lattices of continuous, differentiable or analytic functions (46E05) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit
• Algebras of uniformly continuous functions
• On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
• Convex vector lattices and l-algebras
• Algebraic extensions of an archimedean lattice-ordered group. I
• Algebraic extensions of an archimedean lattice-ordered group. II
• The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale
• Epicomplete archimedean l-groups via a localic Yosida theorem
• On the structure of a class of archimedean lattice-ordered algebras
• Residue class fields of lattice-ordered algebras
• Monomorphisms in spaces with Lindelöf filters
• Frames Associated with an Abelian l-Group
• Shorter Notes: A Theorem on C ∗ -Embedding
• On the Embedding into a Ring of an Archimedean ι-Group
• C- and C^*-quotients in pointfree topology
• REALIZABLE PARTIAL MULTIPLICATIONS IN LINEAR LATTICES
• Atomless Parts of Spaces.

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