Factoring ideals in Prüfer domains

DOI10.1016/j.jpaa.2006.12.011zbMath1164.13008arXivmath/0611661OpenAlexW2046980926MaRDI QIDQ2371807

Thomas G. Lucas, Marco Fontana, Evan G. jun. Houston

Publication date: 9 July 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611661

zbMATH Keywords

Dedekind domainsPrüfer domains\(h\)-local

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

FACTORIZATION IN PRÜFER DOMAINS ⋮ Domains with invertible-radical factorization ⋮ Integral Domains Which Admit at Most Two Star Operations

Cites Work

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• Warfield domains
• Globalizing local properties of Prüfer domains
• The radical trace property and primary ideals
• Overrings of Prüfer domains
• Overrings of Prüfer domains. II
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Toward a classification of prime ideals in Prüfer domains
• M-Canonical ideals in integral domains
• Factoring ideals in almost Dedekind domains
• Integral domains in which each non‐zero ideal is divisorial

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