Equivalence between colocalization and localization in Abelian categories with applications to the theory of modules
type: Item
instance of: scholarly article
title: Equivalence between colocalization and localization in Abelian categories with applications to the theory of modules
zbMATH Open document ID: 0499.18010
DOI: 10.1016/0021-8693(82)90324-6
author: Koichiro Ohtake
published in: Journal of Algebra
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 18E40
Mathematics Subject Classification ID: 18E35
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 16B50
Mathematics Subject Classification ID: 16S90
Mathematics Subject Classification ID: 16P50
zbMATH DE Number: 3787032
zbMATH Keywords: abelian category
zbMATH Keywords: strongly hereditary torsion theories
zbMATH Keywords: reflective subcategories
zbMATH Keywords: colocalization
zbMATH Keywords: localization
MaRDI profile type: Publication
full work available at URL: 0021-8693(82)90324-6
OpenAlex ID: W2029770141
cites work: Modules with decompositions that complement direct summands
cites work: Q5675856
cites work: Semi-Primary QF-3 Rings
cites work: A Torsion Theory for Abelian Categories
cites work: Q5731806
cites work: Density and equivalence
cites work: Des catégories abéliennes
cites work: On semi-simple abelian categories
cites work: On endomorphism rings of Noetherian quasi-injective modules
cites work: Self-injective rings
cites work: Duality between colocalization and localization
cites work: Q4075641
cites work: Q4198916
cites work: Q5644100
cites work: Half-exact pre-radicals
cites work: Cotorsion Theories and Colocalization
cites work: Factors of cofinitely generated injective modules
cites work: Q5508993
cites work: Q3248050
cites work: Localizations in categories of modules. I
cites work: Flat modules, injective modules and quotient rings
cites work: Linear compactness and Morita duality
cites work: Colocalization and localization
cites work: Q3215398
cites work: Q5331540
cites work: Q5556480
cites work: Q5642687
cites work: Q4135715
cites work: Fuller's theorem on equivalences
cites work: Q4049223
cites work: On splitting of module categories
cites work: A Generalization of Quasi-Frobenius Rings
cites work: Colocalization and localization in Abelian categories
cites work: Pure submodules of direct products of free modules
description: scientific article; zbMATH DE number 3787032