On questions related to saturated chains of primes in polynomial rings

DOI10.1016/S0022-4049(02)00178-0zbMath1039.13011MaRDI QIDQ1861504

Ihsen Yengui

Publication date: 9 March 2003

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

zbMATH Keywords

polynomial ringsJaffard ringsaturated chains of primesstrong \(S\)-ring \(R\)

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) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

A question about saturated chains of primes in Serre conjecture rings ⋮ About the spectrum of Nagata rings

Cites Work

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• 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)
• Projective modules over R[\(X_ 1,\)\dots ,X//n, R a Prüfer domain]
• About a conjecture on Nagata rings
• Two counterexamples about the Nagata and Serre conjecture rings
• One counterexample for two open questions about the rings \(R(X)\) and \(R\langle X\rangle\)
• On the Chain Problem of Prime Ideals
• The Dimension of the Tensor Product of Two Field Extensions
• Valuative Heights and Infinite Nagata Rings
• Projective modules over some non-noetherian polynomial rings
• Projective modules over polynomial rings