Duality of modules over topological rings

DOI10.1016/0021-8693(82)90047-3zbMath0502.16029OpenAlexW2170766927MaRDI QIDQ1172687

Ánh, Phạm Ngọc

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90047-3

zbMATH Keywords

quasi-Frobenius ringslinearly compact ringlocally linearly compact modulesstrong topological Morita dualitiestopological injective modulestopological noetherian ringstopologically perfect duality

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Topological and ordered rings and modules (16W80)

Related Items (9)

Topologically left Artinian rings ⋮ Morita duality for commutative rings ⋮ AB-5* and linear compactness ⋮ Characterisation of two-sided PF-rings ⋮ Topologically semiperfect rings ⋮ Unnamed Item ⋮ On a class of lineary compact rings ⋮ Linearly compact rings and selfcogenerators ⋮ A representation of locally Artinian categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über den Zusammenhang zwischen Dualitäts- und Vollständigkeitseigenschaften bei gewissen topologischen Abelschen Gruppen
• Linear kompakte Moduln und Ringe. II
• Theory of compact rings. III: Compact dual rings
• Duality over complete local rings
• On the theory of linearly compact rings.I
• Localization at epimorphisms and quasi-injectives
• Duality theory for linearly topologized modules
• Linear compactness and Morita duality
• Locally compact ring of special type
• Über gewisse Topologien in Abelschen Gruppen. I
• Über gewisse Topologien in Abelschen Gruppen. II
• Über eine Klasse linear kompakter abelscher Gruppen I
• Linear kompakte Moduln und Ringe
• Abelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher Gruppen
• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Topologische Methoden in der Theorie der kommutativen Ringe
• On Morita Duality
• Linearly Compact Spaces and Double Vector Spaces Over Sfields
• Dual Modules over a Valuation Ring. I

This page was built for publication: Duality of modules over topological rings