Purity and generalized chain conditions

DOI10.1016/0022-4049(79)90047-1zbMath0407.18003OpenAlexW1984910386MaRDI QIDQ1257957

Daniel Simson, Christian U. Jensen

Publication date: 1979

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(79)90047-1

zbMATH Keywords

Projective DimensionGrothendieck CategoryFlat ModuleGeneralized Chain ConditionsLocally Finitely Presented CategoryPurity

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Homological dimension (category-theoretic aspects) (18G20) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Preadditive, additive categories (18E05) Functor categories, comma categories (18A25) Representation theory of associative rings and algebras (16Gxx)

Related Items

On Copure Projective Modules and Copure Projective Dimensions, On \(\lambda\)-pure acyclic complexes in a Grothendieck category, Relative homological algebra and purity in triangulated categories, Flat complexes, pure periodicity and pure acyclic complexes, On MF-projective modules, Additive categories of locally finite representation type, A construction of relative left derived functors similar to $\operatorname {Tor}$, Absolutelys-Pure Modules and Neat-Flat Modules

Cites Work

• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Rings with several objects
• On pure global dimension of locally finitely presented Grothendieck categories
• On pure semi-simple Grothendieck categories I
• On the category of commutative connected graded Hopf algebras over a perfect field
• Homological Dimensions of $\aleph_0$-Coherent Rings.
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