Explicit cogenerators for the homotopy category of projective modules over a ring

DOI10.24033/asens.2151zbMath1258.16013OpenAlexW2202950614MaRDI QIDQ5388763

Amnon Neeman

Publication date: 20 April 2012

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/AnnalesENS/4_44/html/ens_ann-sc_44_607-629.php

zbMATH Keywords

generatorsprojective modulestriangulated categoriesflat moduleshomotopy categoriescogeneratorsright coherent ringscolocalizing subcategorieslocal objectstensor-phantom maps

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Chain complexes in algebraic topology (55U15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Derived categories and associative algebras (16E35)

Related Items (3)

Weight structures cogenerated by weak cocompact objects ⋮ The dual of the homotopy category of projective modules satisfies Brown representability ⋮ Constructing cogenerators in triangulated categories and Brown representability

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