Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions

DOI10.1216/rmjm/1181069687zbMath1102.13021OpenAlexW2089217833MaRDI QIDQ812502

Thomas G. Lucas

Publication date: 24 January 2006

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069687

zbMATH Keywords

Krull domainsNagata ringfinite fractionsPvMR rings

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 (21)

Distinguished classes of ideal spaces and their topological properties ⋮ GENERALLY t-LINKATIVE DOMAINS ⋮ \(\tau\)-regular factorization in commutative rings with zero-divisors ⋮ Module-theoretic characterizations of the ring of finite fractions of a commutative ring ⋮ Valuative rings ⋮ A homological characterization of Q0-Prüfer v-multiplication rings ⋮ Yosida, Martínez, and A + B Rings ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ Valuative Marot Rings ⋮ Universal Lying-Over Rings ⋮ Every Prüfer ring does not have small finitistic dimension at most one ⋮ Unnamed Item ⋮ Local types of Prüfer rings ⋮ Trace properties in rings with zero divisors ⋮ Unnamed Item ⋮ The Mori property in rings with zero divisors. II. ⋮ Two generalizations of projective modules and their applications ⋮ Toward a classification of prime ideals in Prüfer domains ⋮ Unnamed Item ⋮ Stability in Commutative Rings ⋮ w-LinkedQ₀-Overrings andQ₀-Prüferv-Multiplication Rings

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