h-Divisible Modules

DOI10.1081/AGB-120016774zbMath1044.13003MaRDI QIDQ4803369

Sang Bum Lee

Publication date: 2 April 2003

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

zbMATH Keywords

projective dimensionenvelopecotorsion modulespure-injective modules\(h\)-divisible modulesMatlis domainsemi-Dedekind domain

Mathematics Subject Classification ID

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

Related Items (12)

Weak-Injective Modules of Weak Dimension at Most One ⋮ On finitely injective modules and locally pure-injective modules over Prüfer domains ⋮ w-MATLIS COTORSION MODULES AND w-MATLIS DOMAINS ⋮ n-Matlis cotorsion modules and n-matlis domains ⋮ On weak-injective modules over integral domains ⋮ \(h\)-divisible modules over integral domains ⋮ When every pure ideal is projective ⋮ HW-DIVISIBLE MODULES ⋮ On Divisible and Torsionfree Modules ⋮ Unnamed Item ⋮ Divisible Is Injective over Krull Domains ⋮ Cotorsion modules and relative pure-injectivity

Cites Work

• On the structure of a one-dimensional quotient field
• Semi-Baer modules over domains
• A Module is Flat if and Only if its Character Module is Injective

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