Some Remarks on Generalized GCD Domains

DOI10.1080/00927870701665271zbMath1170.13005OpenAlexW2106271451MaRDI QIDQ5444894

Majid M. Ali

Publication date: 26 February 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701665271

zbMATH Keywords

multiplication moduleinvertible submoduleGGCD domainPF-prime idealGGCD module

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 (6)

Unnamed Item ⋮ Unnamed Item ⋮ Finitely generated torsion-free modules over integrally closed domains ⋮ Generalized GCD rings. IV ⋮ Krull Modules ⋮ ϕ-ALMOST DEDEKIND RINGS AND $Phi$-ALMOST DEDEKIND MODULES

Cites Work

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• The residual of finitely generated multiplication modules
• Flat modules and multiplication modules
• Some remarks on multiplication modules
• Finite conductor rings
• Some Remarks on Multiplication and Projective Modules
• Idealization and Theorems of D. D. Anderson
• π-domains, overrings, and divisorial ideals
• Dedekind modules^*
• Idealization and Theorems of D. D. Anderson II
• Prime Ideals in GCD-Domains
• Multiplication modules
• Multiplication modules

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