On weak-injective modules over integral domains

DOI10.1016/J.JALGEBRA.2010.02.005zbMath1193.13010OpenAlexW2093289808WikidataQ122200988 ScholiaQ122200988MaRDI QIDQ965175

Sang Bum Lee, László Fuchs

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.02.005

zbMATH Keywords

pure-injective modulesflat coverflatweak dimensiontorsion-freealmost perfect domainenochs-cotorsion modulesweak-injective envelopeweak-injective modules

Mathematics Subject Classification ID

Integral domains (13G05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (5)

Unnamed Item ⋮ Weak-injective modules over commutative rings ⋮ Recollements from cotorsion pairs ⋮ \(h\)-divisible modules over integral domains ⋮ Divisible Is Injective over Krull Domains

Cites Work

• Unnamed Item
• Flat covers of modules
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• A note on the Matlis category equivalence
• Weak-injectivity and almost perfect domains
• Cotorsion pairs generated by modules of bounded projective dimension.
• ALL MODULES HAVE FLAT COVERS
• Almost perfect domains
• h-Divisible Modules
• Weak-Injective Modules
• On finitely injective modules and locally pure-injective modules over Prüfer domains

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