Finitely generated torsion-free modules over integrally closed domains

DOI10.1080/00927872.2020.1742346zbMath1476.13029OpenAlexW3013968018MaRDI QIDQ5119346

Hidetoshi Marubayashi, Sutopo, Iwan Ernanto, Indah Emilia Wijayanti

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1742346

zbMATH Keywords

Dedekind domaininvertible idealsDedekind module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Derivations, actions of Lie algebras (16W25) Graded rings and modules (associative rings and algebras) (16W50) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

Krull modules and completely integrally closed modules ⋮ Arithmetic modules over generalized Dedekind domains

Cites Work

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• Prime divisors and noncommutative valuation theory.
• On generalized Dedekind prime rings.
• Some Remarks on Multiplication and Projective Modules
• On Dedekind Modules
• On generalized Dedekind domains
• Dedekind modules^*
• Some Remarks on Generalized GCD Domains
• Dedekind Modules
• Multiplication modules

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