Valuative Heights and Infinite Nagata Rings

DOI10.1080/00927879508825317zbMath0848.13003OpenAlexW2117157449MaRDI QIDQ4834882

Ahmed Ayache, Othman Echi, Paul-Jean Cahen

Publication date: 21 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825317

zbMATH Keywords

catenarityNagata ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuations and their generalizations for commutative rings (13A18)

Related Items (6)

A question about saturated chains of primes in Serre conjecture rings ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Paul-Jean Cahen (1946–2019) ⋮ About the spectrum of Nagata rings ⋮ Two counterexamples about the Nagata and Serre conjecture rings ⋮ On questions related to saturated chains of primes in polynomial rings

Cites Work

• Strong S-domains
• Universally catenarian integral domains
• Une conjecture sur les anneaux de Nagata. (A conjecture on Nagata rings)
• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• About a conjecture on Nagata rings
• The Dimension Sequence of a Commutative Ring

This page was built for publication: Valuative Heights and Infinite Nagata Rings