\(h\)-divisible modules over integral domains

DOI10.1016/J.JALGEBRA.2010.11.008zbMath1228.13018OpenAlexW2043062034MaRDI QIDQ555552

Sang Bum Lee

Publication date: 25 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.11.008

zbMATH Keywords

weak injective moduleflat moduleh-divisible modulepure-injective modulecotorsion moduleMatlois domain

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Integral domains (13G05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Other special types of modules and ideals in commutative rings (13C13) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (4)

Weak-Injective Modules of Weak Dimension at Most One ⋮ On the existence of a single test module ⋮ On a new cotorsion pair ⋮ Strongly Flat Modules over Matlis Domains

Cites Work

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• On weak-injective modules over integral domains
• \(h\)-divisible and cotorsion modules over one-dimensional Gorenstein rings
• Strongly torsion free, copure flat and Matlis reflexive modules
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• A note on the Matlis category equivalence
• Weak-injectivity and almost perfect domains
• The Functor Hom and Cotorsion Theories
• h-Divisible Modules
• Weak-Injective Modules
• On finitely injective modules and locally pure-injective modules over Prüfer domains
• Global Dimension of Valuation Rings

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