Two sufficient conditions for universal catenarity

DOI10.1080/00927878708823446zbMath0638.13015OpenAlexW2163036187MaRDI QIDQ3778850

David E. Dobbs, Marco Fontana, Alain Bouvier

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823446

zbMATH Keywords

going-downuniversally catenarian ring

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (8)

Transfer of Krull Dimension, Lying-Over, and Going-Down to the Fixed Ring ⋮ On the Krull and valuative dimension of \(D+XD_ S[X\) domains] ⋮ Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings) ⋮ On universally catenarian pairs ⋮ On treed Nagata rings ⋮ On the prime spectrum of commutative semigroup rings ⋮ Sur les S-domaines forts de Kaplansky. (On strong Kaplansky S-domains) ⋮ On the prime ideal structure of tensor products of algebras

Cites Work

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• Locally pseudo-valuation domains
• Strong S-domains
• Topologically defined classes of commutative rings
• Lying-Over Pairs of Commutative Rings
• On the Global Dimensions of D+M
• On Going Down For Simple Overrings II
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)

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