Irredundant intersections of valuation overrings of two-dimensional noetherian domains

DOI10.1016/j.jalgebra.2007.07.030zbMath1137.13003OpenAlexW1984076520MaRDI QIDQ2470374

Bruce Olberding

Publication date: 14 February 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.07.030

zbMATH Keywords

valuation theoryoverringirredundant representationZariski-Riemann spacenoetherian domainKrull dimension 2strongly irredundant representation

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18)

Related Items (9)

The Zariski-Riemann Space of Valuation Rings ⋮ A principal ideal theorem for compact sets of rank one valuation rings ⋮ Integral domains having a unique Kronecker function ring ⋮ Ideal theory of infinite directed unions of local quadratic transforms ⋮ Overrings of two-dimensional noetherian domains representable by noetherian spaces of valuation rings ⋮ Noetherian Spaces of Integrally Closed Rings with an Application to Intersections of Valuation Rings ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ Integrally closed rings in birational extensions of two-dimensional regular local rings ⋮ The constructible topology on spaces of valuation domains

Cites Work

• A classification of the integrally closed rings of polynomials containing \(Z[X\)]
• Overrings of two-dimensional noetherian domains representable by noetherian spaces of valuation rings
• Irredundant intersections of valuation rings
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Monoidal extensions of a Cohen-Macaulay unique factorization domain
• Noetherian Spaces of Integrally Closed Rings with an Application to Intersections of Valuation Rings
• On the Valuations Centered in a Local Domain
• Algebraic Functions and Projective Curves
• On Krull Overrings of a Noetherian Domain
• Two constructions of prüfer domains.
• Defining Families for Integral Domains of Real Finite Character
• Noetherian Intersections of Integral Domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Irredundant intersections of valuation overrings of two-dimensional noetherian domains