T.T.F. theories for left and right exact sequences

DOI10.1016/0022-4049(91)90134-NzbMath0748.18008MaRDI QIDQ1181441

Ronald Gentle

Publication date: 27 June 1992

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

zbMATH Keywords

colocalizationshort exact sequenceslocalizationSerre subcategoriescoherent functorspure exact sequencecocomplete abelian categoryfactor categoryleft exact sequencestorsion torsion-free theoriesTTF torsion theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Localization of categories, calculus of fractions (18E35)

Related Items (7)

Applications of the defect of a finitely presented functor ⋮ Abelianization and orthogonal complements of additive categories ⋮ Injective stabilization of additive functors, III. Asymptotic stabilization of the tensor product ⋮ On direct summands of homological functors on length categories. In memory of Hans-Bjørn Foxby ⋮ Derived recollements and generalised AR formulas ⋮ Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor ⋮ A constructive approach to Freyd categories

Cites Work

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• Algebraically compact rings and modules
• Purity and algebraic compactness for modules
• T.T.F. theories in abelian categories
• A T.T.F. theory for short exact sequences
• Rein injektive direkte summen von moduln
• Representation Theory of Artin Algebras II

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