Liberte des gros modules projectifs

DOI10.1016/0021-8693(74)90124-0zbMath0291.13004OpenAlexW2042996532MaRDI QIDQ1211083

Daniel Lazard

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90124-0

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10)

Related Items (20)

Supplement submodules and a generalization of projective modules. ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Projective modules are determined by their radical factors. ⋮ Projektive Moduln mit endlich erzeugtem Radikalfaktormodul ⋮ Projective diagrams over partially ordered sets are free ⋮ Projective modules over the endomorphism ring of a biuniform module. ⋮ Projective modules over the Gerasimov-Sakhaev counterexample. ⋮ Infinitely generated projective modules over pullbacks of rings ⋮ On projective modules over polynomial rings ⋮ Artinian quotient rings of group rings ⋮ ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL ⋮ Endomorphism rings of infinitely generated projective modules ⋮ Finitely Generated Flat Modules and a Characterization of Semiperfect Rings ⋮ A variation of coretractable modules ⋮ Big projective modules over noetherian semilocal rings ⋮ Lifting the finite generation of a projective module modulo its radical ⋮ Complements in projective modules ⋮ Subrings of RFM(R) and equivalences ⋮ On semilocal modules and rings ⋮ A counterexample to two hypotheses on projective and flat modules

Cites Work

• Projective modules
• Supplement to 'Projective modules over weakly noetherian ring'
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Projective and free modules
• \(K\)-theory and stable algebra
• Big projective modules are free
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Disconnexités des spectres d'anneaux et des préschémas
• On Projective Modules of Finite Rank

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