Universally Torsionless and Trace Modules

DOI10.2307/1999718zbMath0319.16020OpenAlexW4248770140MaRDI QIDQ4081414

Gerald S. Garfinkel

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1999718

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) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility, noncommutative UFDs (16U30)

Related Items (18)

Finite splitness and finite projectivity ⋮ Flat modules over valuation rings ⋮ Multiplier Hopf algebroids: Basic theory and examples ⋮ Decomposition properties of strict Mittag-Leffler modules. ⋮ Almost free modules and Mittag-Leffler conditions. ⋮ Co-Frobenius corings and adjoint functors. ⋮ Mittag-Leffler modules, reduced products, and direct products ⋮ Strict Mittag-Leffler modules and purely generated classes ⋮ Duality theorems for crossed products over rings. ⋮ Pure submodules of direct products of free modules ⋮ On the linear weak topology and dual pairings over rings. ⋮ Comodules and Corings ⋮ On dominant modules and dominant rings ⋮ Strict Mittag-Leffler modules ⋮ Unnamed Item ⋮ On the separability of a direct product of free modules over a valuation domain ⋮ Relative coherence and preenvelopes ⋮ Dual entwining structures and dual entwined modules.

Cites Work

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• Projective modules
• Projective modules over free groups are free
• Pure submodules
• Anneaux et modules cohérents
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Abelian groups without elements of finite order
• Direct Products of Modules
• Content Modules and Algebras.
• The Finiteness of I When R[ X /I is Flat]
• On Projective Modules Over Semi-Hereditary Rings

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