The Ordered Group of Invertible Ideals of a Prüfer Domain of Finite Character

DOI10.1080/00927870500261504zbMath1148.13300OpenAlexW1990484358MaRDI QIDQ5478663

James Brewer, Lee Klingler

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500261504

zbMATH Keywords

Prüfer domainstrong approximation theoremvaluation group\(h\)-local

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ A Survey on the Local Invertibility of Ideals in Commutative Rings ⋮ Bazzoni's conjecture ⋮ The group of invertible ideals of a Prüfer ring ⋮ A generalization of the Jaffard-Ohm-Kaplansky theorem

Cites Work

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• Globalizing local properties of Prüfer domains
• The generalization of the valuation theory

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