Injective envelopes and flat covers of modules over a commutative ring

DOI10.1016/0022-4049(95)00085-2zbMath0853.13009OpenAlexW1965062454WikidataQ114215353 ScholiaQ114215353MaRDI QIDQ1916410

Weimin Xue

Publication date: 3 July 1996

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(95)00085-2

zbMATH Keywords

reflexive moduleflat coverinjective envelopelinearly compact ringalmost noetherian ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Topological rings and modules (13J99) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (2)

On Covers and Envelopes under Hom and Tensor Functors ⋮ Duality between injective envelopes and flat covers

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Injective envelopes and flat covers of Matlis reflexive modules
• Rings with Morita duality
• On injective modules and flat modules
• Modules with decompositions that complement direct summands
• Flat Covers and Flat Cotorsion Modules
• A note on flatness and injectivity of simple modules over a commutative ring
• Rings with Duality
• Krull dimension

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