Covers by flat modules and submodules of flat modules

DOI10.1016/0022-4049(89)90025-XzbMath0671.16010OpenAlexW2045123602MaRDI QIDQ1119718

Edgar E. Enochs

Publication date: 1989

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(89)90025-x

zbMATH Keywords

flat coversKrull dimensioncotorsion R-modulescovers by submodulesinjective R- modulesleft R-modulesright coherent ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (3)

Torsionfree covers and covers by submodules of flat modules¹ ⋮ The Existence of Flat Covers ⋮ The Existence of Flat Covers Over Noetherian Rings of Finite Krull Dimension

Cites Work

• The quotient field as a torsion-free covering module
• Injective and flat covers, envelopes and resolvents
• The ring as a torsion-free cover
• A representation theorem for complete local rings
• Minimal pure injective resolutions of flat modules
• Purity and algebraic compactness for modules
• Torisonfree injective modules
• Torsion free covering modules. II
• Flat Covers and Flat Cotorsion Modules
• Injective hulls of flat modules
• On Coverings of Modules
• Torsion Free Covering Modules
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