Colocalization and localization

DOI10.1016/0022-4049(77)90053-6zbMath0373.16002OpenAlexW1983039831MaRDI QIDQ1244287

Koichiro Ohtake

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90053-6

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Localization and associative Noetherian rings (16P50)

Related Items (15)

Types of Serre subcategories of Grothendieck categories ⋮ Abelian torsion theories with localization ⋮ Colocalization and localization in Abelian categories ⋮ T.T.F. theories in abelian categories ⋮ A T.T.F. theory for short exact sequences ⋮ Equivalence between colocalization and localization in Abelian categories with applications to the theory of modules ⋮ Idempotent functors and localizations in categories of modules and Abelian groups. ⋮ The concrete description of the colocalization ⋮ Gruson-Jensen Duality for Idempotent Rings ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Endomorphism rings and category equivalences ⋮ Localizations and adjointness ⋮ Modules ⋮ Differential torsion theory. ⋮ Localizations and colocalizations via limits

Cites Work

• Unnamed Item
• Density and equivalence
• Duality between colocalization and localization
• The quotient category of a Morita context
• Some aspects of torsion
• On an \(n\)-fold torsion theory in the category \(_RM\).
• TTF classes and quasi-generators
• U-distinguished modules
• Cotorsion Theories and Colocalization
• A Torsion Theory for Abelian Categories
• Perfect Torsion Theories
• Rings and modules of quotients

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