Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks

DOI10.1007/978-3-319-65874-2_13zbMath1401.13069arXiv1702.03058OpenAlexW2607078456MaRDI QIDQ4639012

Lorenzo Guerrieri, Bruce Olberding, Matthew Toeniskoetter, William J. Heinzer

Publication date: 2 May 2018

Published in: Rings, Polynomials, and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03058

zbMATH Keywords

regular local ringvaluation ringlocal quadratic transformpullback construction

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)

Related Items (5)

The tree of quadratic transforms of a regular local ring of dimension two ⋮ Directed unions of local monoidal transforms and GCD domains ⋮ The Quadratic Tree of a Two-Dimensional Regular Local Ring ⋮ Iterated blowups of two-dimensional regular local rings ⋮ On the integral domains characterized by a Bézout property on intersections of principal ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ideal theory of infinite directed unions of local quadratic transforms
• Valuations dominating regular local rings and proximity relations
• Valuations, equimultiplicity and normal flatness
• Topologically defined classes of commutative rings
• Some remarks on star-operations
• Global dimension of cartesian squares
• Valuations determined by quadratic transforms of a regular ring
• A criterion for spots
• Asymptotic properties of infinite directed unions of local quadratic transforms
• Directed unions of local quadratic transforms of a regular local ring
• Two conductor theorems
• The reduction of the singularities of an algebraic surface
• Finite conductor rings
• Monoidal Transforms of Regular Local Rings
• On the Valuations Centered in a Local Domain
• Direct Products of Modules
• On a property of pre-schreier domains
• The Local Rings of Global Dimension Two
• La Notion D’anneau de Décomposition

This page was built for publication: Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks