Maximal Chains of Prime Ideals in Integral Extension Domains. I

DOI10.2307/1997418zbMath0303.13004OpenAlexW4232099154MaRDI QIDQ4059041

Louis J. jun. Ratliff, Stephen McAdam

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997418

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) 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

Note on Simple Integral Extension Domains and Maximal Chains of Prime Ideals, Unnamed Item, Four notes on GB-rings, Chain of Prime Ideals in Formal Power Series Rings, Four notes on saturated chains of prime ideals

Cites Work

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• 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 a chain condition for prime ideals
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• Characterizations of Catenary Rings