Finiteness conditions on filters of left ideals

DOI10.1016/0022-4049(73)90012-1zbMath0266.16028OpenAlexW2076233476MaRDI QIDQ2562128

Jonathan S. Golan, Mark L. Teply

Publication date: 1973

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(73)90012-1

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Torsion theories, radicals (18E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Projective and free modules and ideals in commutative rings (13C10)

Related Items (10)

Relative injective covers ⋮ ON RELATIVE FLATNESS ⋮ On the existence of covers by injective modules relative to a torsion theory ⋮ Relative injectivity and chain conditions ⋮ Prime ideals and finiteness conditions for Gabriel topologies over commutative rings ⋮ Rings all of whose torsion quasi-injective modules are injective ⋮ T-torsion-free T-injective covers ⋮ ON RELATIVE INJECTIVITY ⋮ THE σ-PURE INJECTIVE BULL, FOR A TORSION RADICAL, σ ⋮ Neat submodules

Cites Work

• Unnamed Item
• Pure submodules
• Neat homomorphisms
• Torsion free covering modules. II
• Objets cohérents et ultraproduits dans les categories
• Torsion-free covers
• A Torsion Theory for Abelian Categories
• On Divisibility and Injectivity
• Coherent Rings and Fp -Injective Modules
• Rings and modules of quotients

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