FINITELY VALUATIVE DOMAINS

DOI10.1142/S0219498812501125zbMath1260.13013OpenAlexW2007189652MaRDI QIDQ3144379

Paul-Jean Cahen, David E. Dobbs, Thomas G. Lucas

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501125

zbMATH Keywords

Prüfer domainMinimal ring extensionvaluative domain

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (4)

Paul-Jean Cahen (1946–2019) ⋮ FINITELY t-VALUATIVE DOMAINS ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE ⋮ Finite maximal chains of commutative rings

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• INTEGRAL DOMAINS WHOSE SIMPLE OVERRINGS ARE INTERSECTIONS OF LOCALIZATIONS
• Valuations and Prufer Rings
• On the FIP Property for Extensions of Commutative Rings

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