Chains of prime ideals in Noetherian domains

DOI10.1016/0022-4049(80)90121-8zbMath0442.13007OpenAlexW1966439836WikidataQ127436495 ScholiaQ127436495MaRDI QIDQ1143445

Ada Maria de Souza Doering

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90121-8

zbMATH Keywords

heightNoetherian catenarian domain

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (1)

The depth conjecture: A counterexample

Cites Work

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• Rank in Noetherian rings
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• The converse to a well known theorem on Noetherian rings
• On the Chain Problem of Prime Ideals
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Note on coefficient fields of complete local rings

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