Localization and completion

DOI10.1090/S0002-9904-1972-13012-XzbMath0281.16003MaRDI QIDQ4767422

Joachim Lambek

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Projectives and injectives (category-theoretic aspects) (18G05) Topological and ordered rings and modules (16W80) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Localization and associative Noetherian rings (16P50)

Cites Work

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• Injective modules over Noetherian rings
• Torsion theories in non-additive categories
• Adjoint functors and triples
• Flat modules, injective modules and quotient rings
• Linear compactness and Morita duality
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Bicommutators of nice injectives
• Rings and modules of quotients