Fully bounded Grothendieck categories. Part I: Locally noetherian categories

DOI10.1016/0022-4049(81)90077-3zbMath0469.18005OpenAlexW2009638062MaRDI QIDQ1156867

Alain Verschoren

Publication date: 1981

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(81)90077-3

zbMATH Keywords

Gabriel-Popescu representationleft noetherian fully left bounded ringslocally noetherian Grothendieck categoriessymmetric kernel functors

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Localization and associative Noetherian rings (16P50) Localization of categories, calculus of fractions (18E35) Categorical embedding theorems (18E20)

Related Items (6)

Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition ⋮ Relatively Noetherian rings, localization and sheaves. II: Structure sheaves ⋮ Relatively noetherian rings, localization and sheaves part iii:functorial behaviour ⋮ Fully bounded Grothendieck categories: Addendum ⋮ Local cohomology in Grothendieck categories ⋮ Tertiary decomposition in Grothendieck categories

Cites Work

• Graded and filtered rings and modules
• Injective modules over Noetherian rings
• Non-commutative principal ideal rings
• Prime spectra in non-commutative algebra
• Goldman's primary decomposition and the tertiary decomposition
• On fully left bounded left Noetherian rings
• Sur quelques points d'algèbre homologique
• Localization of fully left bounded rings
• Localization and the gabriel-popescu embedding
• Des catégories abéliennes
• Localization of Right Noetherian Rings at Semiprime Ideals
• Rings and modules of quotients
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