On the exactness of the completion functor

DOI10.1080/00927878008822444zbMath0423.16017OpenAlexW2028654403MaRDI QIDQ3856904

Gary D. Crown, John J. Hutchinson

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822444

zbMATH Keywords

exact functorcompletion functorhereditary torsion theoryinjective cogeneratorlocalization functorcompletions of modulesE-adic topology

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Topological and ordered rings and modules (16W80) Localization and associative Noetherian rings (16P50)

Related Items (2)

Counterinjective modules and duality ⋮ Modules

Cites Work

• Localization and completion
• Co-Artinian rings and Morita duality
• Rings and modules of quotients
• Rings and modules of quotients

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