A generalization of Kronecker function rings and Nagata rings

DOI10.1515/FORUM.2007.038zbMath1142.13020arXivmath/0604040OpenAlexW1991882530MaRDI QIDQ5443577

Marco Fontana, K. Alan Loper

Publication date: 21 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0604040

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Local rings and semilocal rings (13H99)

Related Items (5)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey ⋮ Some topological considerations on semistar operations ⋮ Cancellation properties in ideal systems: A classification of e.a.b. semistar operations

Cites Work

• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Beiträge zur Arithmetik kommutativer Integritätsbereiche. I: Multiplikationsringe, ausgezeichnete Idealsysteme und Kroneckersche Funktionalringe
• Contents of polynomials and invertibility
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS
• Kronecker Function Rings and Generalized Integral Closures
• On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)
• Kronecker Function Rings and Flat D[ X -Modules]
• A Note on Integral Closure
• Note on star-operations and semistar-operations

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