On almost-divided domains

DOI10.1007/S12215-009-0016-0zbMath1187.13020OpenAlexW2006286700MaRDI QIDQ2379906

Gabriel Picavet, David E. Dobbs

Publication date: 23 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/s12215-009-0016-0

zbMATH Keywords

prime idealKrull dimensionintegral domainpullbackdivided prime idealdivided domaintreed domain\(D+M\) constructionCPI-extension\(i\)-domain\(n\)-divided domainalmost-divided domainportable propertystraight domain

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) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings of fractions and localization for commutative rings (13B30)

Related Items (1)

On a New Class of Integral Domains with the Portable Property

Cites Work

• Topologically defined classes of commutative rings
• On locally divided integral domains and CPI-overrings
• Divided rings and going-down
• Absolutely integral homomorphisms
• Straight Rings
• Topologically Defined Classes of Going-Down Domains
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• On Going Down For Simple Overrings II
• On Going-Down for Simple Overrings. III
• Various Facets of Rings BetweenD[X andK[X]]
• Generalized Quotient Rings
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