Local types of Prüfer rings

DOI10.1142/S0219498819500427zbMath1435.13017OpenAlexW2792971809MaRDI QIDQ5383816

Lee Klingler, Thomas G. Lucas, Madhav Sharma

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1142/s0219498819500427

zbMATH Keywords

Prüfer\(Q_0\)-Prüferlocally Prüfermaximally Prüferstrong Prüfer

Mathematics Subject Classification ID

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)

Cites Work

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• Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions
• Gaussian properties of total rings of quotients
• The rings R(X) and \(R<X>\)
• Strong Prüfer rings and the ring of finite fractions
• A characterization of Prüfer domains in terms of polynomials
• On the class group and the local class group of a pullback
• Characterizing When R[ X is Integrally Closed]
• Prüfer Conditions and the Total Quotient Ring
• Relarively prüfer pairs
• Maximally Prüfer Rings
• Prüfer rings with zero divisors.

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