Strong Prüfer rings and the ring of finite fractions

DOI10.1016/0022-4049(93)90162-MzbMath0780.13011OpenAlexW2065430217MaRDI QIDQ1208218

Thomas G. Lucas

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90162-m

zbMATH Keywords

integrally closed domainquotient ringstrong Prüfer ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (21)

Module-theoretic characterizations of the ring of finite fractions of a commutative ring ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ A homological characterization of Q0-Prüfer v-multiplication rings ⋮ The small finitistic dimensions of commutative rings ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ Every Prüfer ring does not have small finitistic dimension at most one ⋮ Unnamed Item ⋮ Local types of Prüfer rings ⋮ Invariants and isomorphism theorems for zero-divisor graphs of commutative rings of quotients ⋮ Trace properties in rings with zero divisors ⋮ The integral closure of R(X) and R(X) ⋮ Unnamed Item ⋮ Arithmetical rings ⋮ The Mori property in rings with zero divisors. II. ⋮ Two generalizations of projective modules and their applications ⋮ Gaussian polynomials and invertibility ⋮ w-LinkedQ₀-Overrings andQ₀-Prüferv-Multiplication Rings ⋮ Pullbacks of maximally (strong) Prüfer rings ⋮ A Cohen-type theorem for w-Artinian modules ⋮ Maximally Prüfer Rings ⋮ Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizing when R[X is integrally closed. II]
• The rings R(X) and \(R<X>\)
• Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings
• A characterization of Prüfer domains in terms of polynomials
• The Complete Integral Closure of R[ X ]
• Rings whose overrings are integrally closed in their complete quotient ring.
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Valuations on a Commutative Ring
• Prüfer rings with zero divisors.

This page was built for publication: Strong Prüfer rings and the ring of finite fractions