Toward a classification of prime ideals in Prüfer domains

DOI10.1515/FORUM.2010.041zbMath1200.13033arXiv0810.2402OpenAlexW2962760868MaRDI QIDQ3580709

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

Publication date: 13 August 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2402

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 (8)

Factoring ideals in Prüfer domains ⋮ Localizing Global Properties to Individual Maximal Ideals ⋮ Open Problems in Commutative Ring Theory ⋮ Divisorial Prime Ideals in Prüfer Domains ⋮ A Survey on Essential-Like Properties of Prüfer v-Multiplication Domains ⋮ Idempotence and Divisoriality in Prüfer-Like Domains ⋮ Divisorial behavior of prime ideals in Prüfer domains ⋮ Sharpness and semistar operations in Prüfer-like domains

Cites Work

• Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions
• Some properties of divisorial prime ideals in Prüfer domains
• The radical trace property
• The S-transform and the ideal transform
• Topologically defined classes of commutative rings
• When the dual of an ideal is a ring
• Globalizing local properties of Prüfer domains
• The radical trace property and primary ideals
• A class of domains in which primary ideals are valuation ideals
• Overrings of Prüfer domains
• Overrings of Prüfer domains. II
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On the ubiquity of Gorenstein rings
• Divisorial Prime Ideals in Prüfer Domains
• Factoring ideals in almost Dedekind domains
• Integral domains in which each non‐zero ideal is divisorial

This page was built for publication: Toward a classification of prime ideals in Prüfer domains