Cotorsion and Tor Pairs and Finitistic Dimensions over Commutative Rings

DOI10.1007/978-3-319-51718-6_16zbMath1436.13025OpenAlexW2620653420MaRDI QIDQ3298259

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Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_16

zbMATH Keywords

injectivefinitistic dimensionweak-injective modulespure-injectiveMatlis-, Enochs- and Warfield-cotorsion modulescotorsion and Tor pairsflat, torsion-free, torsion, and divisible modulesprojective and weak dimension

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (3)

ON MODULES OVER COMMUTATIVE RINGS ⋮ Covers and envelopes related to divisibility ⋮ CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES

Cites Work

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• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• A note on the Matlis category equivalence
• Cotorsion pairs generated by modules of bounded projective dimension.
• ALL MODULES HAVE FLAT COVERS
• The Functor Hom and Cotorsion Theories
• ON MODULES OVER COMMUTATIVE RINGS
• Weak-Injective Modules
• Tilting Cotorsion Pairs

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