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The Zariski-Riemann Space of Valuation Rings - MaRDI portal

The Zariski-Riemann Space of Valuation Rings (Q5051895)

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scientific article; zbMATH DE number 7620553

Language	Label	Description	Also known as
English	The Zariski-Riemann Space of Valuation Rings	scientific article; zbMATH DE number 7620553

Statements

scholarly article

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The Zariski-Riemann Space of Valuation Rings (English)

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Bruce Olberding

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Commutative Algebra

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publication date

18 November 2022

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-89694-2_21

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On the Valuations Centered in a Local Domain

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On the uniqueness of the coefficient ring in a polynomial ring

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Integer-Valued Polynomials

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Abstract Riemann surfaces of integral domains and spectral spaces

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Kronecker function rings and abstract Riemann surfaces

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Integral domains having a unique Kronecker function ring

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The valuative tree

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The constructible topology on spaces of valuation domains

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Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey

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Ultrafilter and Constructible Topologies on Spaces of Valuation Domains

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New Distinguished Classes of Spectral Spaces: A Survey

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Lotschnittebenen mit halbierbarem rechtem Winkel

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Syzygies, degrees, and choices from a life in mathematics. Retiring Presidential Address

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Two constructions of prüfer domains.

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On curves over valuation rings and morphisms to \(\mathbb{P}^ 1\)

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Kronecker Function Rings and Generalized Integral Closures

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On Krull Overrings of a Noetherian Domain

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Defining Families for Integral Domains of Real Finite Character

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Ideal theory of infinite directed unions of local quadratic transforms

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The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two

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Asymptotic properties of infinite directed unions of local quadratic transforms

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Kronecker Function Rings of Transcendental Field Extensions

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Prime Ideal Structure in Commutative Rings

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Associated Prime Ideals in Non-Noetherian Rings

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Generating ideals in real holomorphy rings

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Places of algebraic function fields in arbitrary characteristic

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On places of algebraic function fields.

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Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra

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The spectrum of a ring as a partially ordered set

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Rational singularities, with applications to algebraic surfaces and unique factorization

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On Prüfer non-\(D\)-rings

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A classification of the integrally closed rings of polynomials containing \(Z[X]\)

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On Krull’s Conjecture concerning Valuation Rings

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Corrections to My Paper “On Krull’s Conjecture Concerning Valuation Rings”

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Imbedding of an abstract variety in a complete variety

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A generalization of the imbedding problem of an abstract variety in a complete variety

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Some Counterexamples Related to Integral Closure in [[ x ]]

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Irredundant intersections of valuation overrings of two-dimensional noetherian domains

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Overrings of two-dimensional noetherian domains representable by noetherian spaces of valuation rings

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Intersections of valuation overrings of two-dimensional Noetherian domains

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Noetherian Spaces of Integrally Closed Rings with an Application to Intersections of Valuation Rings

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Affine schemes and topological closures in the Zariski-Riemann space of valuation rings

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On the geometry of Prüfer intersections of valuation rings

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Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings

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A principal ideal theorem for compact sets of rank one valuation rings

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On the topology of valuation-theoretic representations of integrally closed domains

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Finite intersections of Prüfer overrings

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Integrally closed rings in birational extensions of two-dimensional regular local rings

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Remarks on existentially closed fields and diophantine equations

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Principal ideal theorems for holomorphy rings in fields.

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Bezout domains with stable range 1

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Über die erzeugendenanzahl invertierbarer ideale in prüferringen

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Elementary properties of minimal and maximal points in Zariski spectra

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Prüfer domain and affine scheme

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Monoidal Transforms of Regular Local Rings

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Non-compact subsets of the Zariski space of an integral domain

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n-generator ideals in Prüfer domains

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Prüfer algebraic spaces

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Spectral spaces of countable Abelian lattice-ordered groups

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Normal varieties and birational correspondences

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Foundations of a General Theory of Birational Correspondences

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The compactness of the Riemann manifold of an abstract field of algebraic functions

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-89694-2_21

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5051895

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