Order topologies on \(l\)-algebras.

DOI10.1016/S0166-8641(03)00212-8zbMath1053.06012OpenAlexW2092562747MaRDI QIDQ1426520

D. Massart

Publication date: 14 March 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00212-8

zbMATH Keywords

vector latticeorder topologylattice-ordered algebratopology of compact convergencem-convex setsm-seminorms

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological lattices, etc. (topological aspects) (54H12) General theory of topological algebras (46H05) Ordered topological structures (06F30) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

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Cites Work

• A structure theory for a class of lattice-ordered rings
• The support of certain Riesz pseudo-norms and the order-bound topology
• The order topology for function lattices and realcompactness
• Closed l-ideals in a class of lattice-ordered algebras
• On the structure of a class of archimedean lattice-ordered algebras
• Ideal Theory in f-Algebras
• Locally multiplicatively-convex topological algebras
• A characterization of \(C_k(X)\) as a Fréchet \(f\)-algebra
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