Krull Modules

DOI10.1142/S1005386713000448zbMath1279.13009OpenAlexW4235014190MaRDI QIDQ2854034

Myeong Og Kim, Hwankoo Kim

Publication date: 17 October 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000448

zbMATH Keywords

essential domainMori module\(\pi\)-moduleDedekind module\(v\)-Prüfer modulefactorial modulefaithful multiplication moduleKrull modulet-submodules

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13)

Related Items (3)

Krull modules and completely integrally closed modules ⋮ Polynomial extensions of Krull modules ⋮ Unique Factorization in Torsion-Free Modules

Cites Work

• On the converse of a well-known fact about Krull domains
• Multiplication modules which are distributive
• Factorial modules
• Prime submodules of Noetherian modules
• Some remarks on multiplication modules
• Regular multiplication modules
• Some Remarks on Multiplication and Projective Modules
• On Dedekind Modules
• Prime Modules and Submodules
• Dedekind modules^*
• Some Remarks on Generalized GCD Domains
• Dedekind Modules
• A Note on Dedekind and ZPI Modules
• Multiplication modules

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