Integral domains having a unique Kronecker function ring

DOI10.1016/j.jpaa.2010.07.012zbMath1211.13002OpenAlexW2011971306MaRDI QIDQ626750

Alice Fabbri

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.07.012

zbMATH Keywords

Prüfer domainsintegral closure of finitely generated idealsIntegrally closed domainsunique Kronecker function ringvaluation overrings

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

The Zariski-Riemann Space of Valuation Rings ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ On the topology of valuation-theoretic representations of integrally closed domains ⋮ Affine schemes and topological closures in the Zariski-Riemann space of valuation rings ⋮ Some applications of the ultrafilter topology on spaces of valuation domains, Part II ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ INTEGRAL DOMAINS WITH FINITELY MANY STAR OPERATIONS OF FINITE TYPE

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