INTEGRAL DOMAINS WHOSE SIMPLE OVERRINGS ARE INTERSECTIONS OF LOCALIZATIONS

DOI10.1142/S0219498805001150zbMath1079.13014arXivmath/0406295OpenAlexW2963307674MaRDI QIDQ5312883

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

Publication date: 25 August 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406295

zbMATH Keywords

Prüfer domainoverringdivisorial idealQQR-domainMori domainideal transformintersection of localizations

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (4)

A field-theoretic invariant for domains ⋮ Graph theoretic characterizations of maximal non-valuation subrings of a field ⋮ Straight Rings ⋮ FINITELY VALUATIVE DOMAINS

Cites Work

• Unnamed Item
• The S-transform and the ideal transform
• Pseudo-valuation domains
• Mori domains of integer-valued polynomials
• Overrings of Prüfer domains
• Homomorphismes minimaux d'anneaux
• On seminormal overrings
• Integral domains whose overrings are ideal transforms
• On integral domains whose overrings are Kaplansky ideal transforms

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