The (n,d)-Krull Property over Domains Arising from Pullbacks

DOI10.1080/00927870600550079zbMath1100.13004OpenAlexW1984078699MaRDI QIDQ5481661

Hakima Mouanis, Najib Mahdoua, Abdeslam Mimouni

Publication date: 10 August 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600550079

zbMATH Keywords

coherentpullback\(n\)-presented\((nd)\)-Krull

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Commutative coherent rings
• \(D+M\) constructions with general overrings
• The dimension of tensor products of \(k\)-algebras arising from pullbacks
• On the class group and the local class group of a pullback
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On (n,d)-Krull Rings
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