Prüfer domains and pure submodules of direct sums of ideals

DOI10.1112/S0025579300007889zbMath1032.13003OpenAlexW2171248113MaRDI QIDQ4786381

Bruce Olberding

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300007889

zbMATH Keywords

Prüfer domainintegral domainsum of ideal

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (4)

1-SEPARABLE TORSION FREE MODULES OVER INTEGRAL DOMAINS ⋮ On completely decomposable and separable modules over Prüfer domains ⋮ Butler Modules Over Prüfer Domains ⋮ The Krull-Schmidt property for ideals and modules over integral domains.

Cites Work

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• Globalizing local properties of Prüfer domains
• Generalized Dedekind domains and their injective modules
• Injective Modules Over Prufer Rings
• Almost maximal prüfer domains
• Almost Maximal Integral Domains and Finitely Generated Modules

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