Ideal theory of infinite directed unions of local quadratic transforms
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Publication:504326
DOI10.1016/j.jalgebra.2016.11.014zbMath1365.13036arXiv1505.06445OpenAlexW2963540046MaRDI QIDQ504326
Matthew Toeniskoetter, Bruce Olberding, Hans Schoutens, K. Alan Loper, William J. Heinzer
Publication date: 16 January 2017
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.06445
Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)
Related Items (13)
The Zariski-Riemann Space of Valuation Rings ⋮ Asymptotic properties of infinite directed unions of local quadratic transforms ⋮ Sequences of quadratic transforms of a noetherian local domain ⋮ Convergence of Rees valuations of sequences of one-fibered domains ⋮ 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 ⋮ Sequences of monoidal transformations of a regular noetherian local domain ⋮ Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks ⋮ On the topology of valuation-theoretic representations of integrally closed domains ⋮ Reduced Archimedean skew polynomial rings and skew power series rings ⋮ Iterated blowups of two-dimensional regular local rings ⋮ On the integral domains characterized by a Bézout property on intersections of principal ideals
Cites Work
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- Finitely supported \(\ast\)-simple complete ideals in a regular local ring
- Le théorème d'approximation pour les valuations de Krull
- Valuations dominating regular local rings and proximity relations
- Valuations, equimultiplicity and normal flatness
- Topologically defined classes of commutative rings
- Well-centered overrings of an integral domain.
- Valuations determined by quadratic transforms of a regular ring
- Proximity relations for real rank one valuations dominating a local regular ring
- Power series over generalized Krull domains
- Asymptotic properties of infinite directed unions of local quadratic transforms
- Directed unions of local quadratic transforms of a regular local ring
- Irredundant intersections of valuation overrings of two-dimensional noetherian domains
- Valuations with preassigned proximity relations
- Two conductor theorems
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- A note on the dimension theory of rings
- Finite conductor rings
- Monoidal Transforms of Regular Local Rings
- On the Valuations Centered in a Local Domain
- Direct Products of Modules
- The Rees Valuations of Complete Ideals in a Regular Local Ring
- Generalized Quotient Rings
- Families of Finite Character and Essential Valuations
- Rings of Krull type.
- Prime Ideal Structure in Commutative Rings
- Families of Valuations and Semigroups of Fractionary Ideal Classes
- Defining Families for Integral Domains of Real Finite Character
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