Localization in the rings of continuous functions

DOI10.1016/0166-8641(94)90035-3zbMath0803.46026OpenAlexW2026111075MaRDI QIDQ1325822

Juan B. Sancho, Batildo Requejo

Publication date: 12 December 1994

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

Full work available at URL: https://doi.org/10.1016/0166-8641(94)90035-3

zbMATH Keywords

compact-open topologyuniversal propertytopological ringmultiplicatively closed subsettopological localizationtopological ring of all continuous functions

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\) ⋮ Differential spaces of finite type ⋮ Characterization of Fréchet algebras \(C^ \infty (X)\) ⋮ EXTENSIONS OF COCOMMUTATIVE COALGEBRAS AND A HOCHSCHILD–KOSTANT–ROSENBERG TYPE THEOREM ⋮ Localization on (necessarily) topological coalgebras and cohomology

Cites Work

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• Über lokalkonvexe Algebren
• Extensions of zero-sets and of real-valued functions

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