Closed subbifunctors of the extension functor.

DOI10.1006/JABR.2001.8858zbMath1043.16005OpenAlexW1968577168MaRDI QIDQ5952404

Aslak Bakke Buan

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8858

zbMATH Keywords

derived categoriesderived equivalencesArtin algebrascategories of finitely presented functorsclosed subbifunctorsSerre subcategories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10)

Related Items (16)

Classifying exact categories via Wakamatsu tilting ⋮ Relative derived equivalences and relative homological dimensions ⋮ A functorial approach to categorical resolutions ⋮ Auslander's formula and correspondence for exact categories ⋮ Classifications of exact structures and Cohen-Macaulay-finite algebras ⋮ On faithfully balanced modules, F-cotilting and F-Auslander algebras ⋮ Homotopy equivalences induced by balanced pairs ⋮ Categorical resolutions of a class of derived categories ⋮ Unnamed Item ⋮ Relative Quotient Triangulated Categories ⋮ On F-Gorenstein dimensions ⋮ On Relative Derived Categories ⋮ Going relative with Maurice—A survey ⋮ Exact structures and degeneration of Hall algebras ⋮ On subprojectivity domains of g-semiartinian modules ⋮ On the lattices of exact and weakly exact structures

Cites Work

• The Krull-Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences
• Derived categories and Morita theory
• The derived category of an exact category
• Chain complexes and stable categories
• Stable equivalence of dualizing R-varieties
• The spectrum of a module category
• Relative homology and representation theory 1
• Relative homology and representation theory II
• Relative homology and representation theory III
• Classes of extensions and resolutions
• Exact categories and vector space categories
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