Kronecker Function Rings of Transcendental Field Extensions
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Publication:3162812
DOI10.1080/00927870903164685zbMath1204.13003OpenAlexW2037785690MaRDI QIDQ3162812
Publication date: 22 October 2010
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870903164685
Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (10)
The Zariski-Riemann Space of Valuation Rings ⋮ Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey ⋮ Projective star operations on polynomial rings over a field ⋮ Affine schemes and topological closures in the Zariski-Riemann space of valuation rings ⋮ The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two ⋮ The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications ⋮ New Distinguished Classes of Spectral Spaces: A Survey ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ The constructible topology on spaces of valuation domains
Cites Work
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- Pseudo-Dedekind domains and divisorial ideals in \(R[X_ T\)]
- Kronecker function rings and abstract Riemann surfaces
- Places of algebraic function fields in arbitrary characteristic
- Irredundant intersections of valuation rings
- On places of algebraic function fields.
- On generalized Dedekind domains
- Ideals of integer-valued polynomial rings
- Kronecker Function Rings and Generalized Integral Closures
- Value groups, residue fields, and bad places of rational function fields
- Two constructions of prüfer domains.
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