Topological rings

DOI10.1090/S0002-9904-1948-09058-9zbMath0031.19902OpenAlexW4234014411MaRDI QIDQ5787760

Irving Kaplansky

Publication date: 1948

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1948-09058-9

zbMATH Keywords

Rings, modules, fields

Related Items (18)

On beta-topological rings ⋮ The Space of Point Homotopic Maps into the Circle ⋮ On the Subring Generated by the Symmetric Elements ⋮ On \(TQ\)-algebras ⋮ Igor Rostislavovich Shafarevich and his mathematical heritage ⋮ The Existence of Topologies on Field Extensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An application of compactifications: Some theorems of maximal ideals ⋮ Classification of simple Lie algebras over algebraically closed fields of prime characteristic ⋮ Tauberian translation algebras ⋮ Normed linear spaces of continuous functions ⋮ Some questions concerning alternative rings ⋮ On Rings of Bounded Continuous Functions with Values in a Division Ring ⋮ Hahn valuations and (locally) compact rings ⋮ Solvability spectra for varieties of Lie algebras and Lie rings ⋮ On locally compact positive halffields ⋮ Unnamed Item

Cites Work

• Zur topologischen Algebra. I. Komplettierungstheorie
• Über stetige algebraische Körper
• Zur Begründung der projektiven Geometrie
• Subfields and automorphism groups of \(p\)-adic fields
• Unendliche Abelsche Gruppen und Grundlagen der Geometrie
• Absolute valued real algebras
• The singular elements of a Banach algebra
• Representation of -algebras
• Topological methods in valuation theory
• Dual rings
• Normed algebras
• Postulates for general quantum mechanics
• Banach algebras with an adjoint operation
• Ein Existenzsatz über reelle definite Polynome
• Maximal fields with valuations
• Locally Compact Rings
• Totally Disconnected Locally Compact Rings
• Applications of the Theory of Boolean Rings to General Topology
• A Note on Topological Fields
• The resolvent of a closed transformation
• The Completeness of the Irreducible Unitary Representations of a Locally Compact Group
• Linear topological division algebras
• Les Fonctions De Type Positif et la Theorie Des Groupes
• Topological Representation of Algebras
• The Group Algebra of a Locally Compact Group
• Polynomials in topological fields
• Rings of Real-Valued Continuous Functions. I
• The L 2 -System of a Unimodular Group. I
• Théorèmes taubériens et théorie spectrale
• Topological Rings
• Locally Compact Rings
• Topological characterization of fields with valuations
• On the Structure and Ideal Theory of Complete Local Rings
• The Radical and Semi-Simplicity for Arbitrary Rings
• Linear topological spaces
• Normed rings and spectral theorems
• Structure Theorems for a Special Class of Banach Algebras
• On a Theory of Gelfand and Neumark
• The structure of normed abelian rings
• Über die Erweiterung der maximalen Ideale in normierten Ringen
• On compact topological rings
• Spectral theory
• Normed ring of a locally compact abelian group
• Analysis in complex Banach spaces
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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