On the geometry of Prüfer intersections of valuation rings

DOI10.2140/pjm.2015.273.353zbMath1344.13013arXiv1408.5361OpenAlexW3106031376MaRDI QIDQ2346662

Bruce Olberding

Publication date: 3 June 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5361

zbMATH Keywords

Prüfer domainvaluation ringZariski-Riemann space

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Schemes and morphisms (14A15)

Related Items (6)

The Zariski-Riemann Space of Valuation Rings ⋮ Prüfer intersection of valuation domains of a field of rational functions ⋮ Topological properties of semigroup primes of a commutative ring ⋮ A principal ideal theorem for compact sets of rank one valuation rings ⋮ An ultrapower analogue of the Kronecker function ring ⋮ On the topology of valuation-theoretic representations of integrally closed domains

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