Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x)

DOI10.1007/s10587-006-0065-xzbMath1164.46339OpenAlexW2016638010MaRDI QIDQ3599917

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Publication date: 9 February 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/31076

zbMATH Keywords

compact convergence topologylocally m-convex algebra\(\Phi \)-algebra

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Representations of topological algebras (46H15) Topological lattices (06B30)

Related Items (2)

Zero-separating algebras of continuous functions ⋮ Integral representation for powers of elements in locally \(m\)-convex algebras and applications

Cites Work

• The topology of compact convergence on continuous function spaces
• A structure theory for a class of lattice-ordered rings
• The order topology for function lattices and realcompactness
• A characterization of the topology of compact convergence on \({\mathcal C}(X)\)
• Order topologies on \(l\)-algebras.
• Functional representation of topological algebras
• Closed l-ideals in a class of lattice-ordered algebras
• On the structure of a class of archimedean lattice-ordered algebras
• Countably Generated Ideals in Rings of Continuous Functions
• Ideal Theory in f-Algebras
• On Inverse-Closed Subalgebras of C (X )^†
• Approximation in Systems of Real-Valued Continuous Functions
• Couples spectraux et faisceaux associés. Applications aux anneaux de fonctions
• A characterization of \(C_k(X)\) as a Fréchet \(f\)-algebra

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