On the finiteness of a field-theoretic invariant for commutative rings

DOI10.1007/S12215-009-0027-XzbMath1184.13065OpenAlexW1974503931MaRDI QIDQ2269945

David E. Dobbs

Publication date: 12 March 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-009-0027-x

zbMATH Keywords

prime idealPrüfer domaincommutative ringintegral domainoverringintegral closurepseudo-valuation domainintermediate field\(D+M\) construction\(G\)-domainfinite-type algebraINC-pair

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Field extensions (12F99)

Related Items (1)

THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE

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• Topologically Defined Classes of Going-Down Domains
• On a Field-Theoretic Invariant for Extensions of Commutative Rings

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