One counterexample for two open questions about the rings \(R(X)\) and \(R\langle X\rangle\)

DOI10.1006/jabr.1999.8009zbMath0951.13013OpenAlexW2092562424WikidataQ124809798 ScholiaQ124809798MaRDI QIDQ1969363

Ihsen Yengui

Publication date: 29 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8009

zbMATH Keywords

monic polynomialsNagata ringcatenarian polynomial ringstrong \(S\)-ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Formal power series rings (13F25)

Related Items (5)

A question about saturated chains of primes in Serre conjecture rings ⋮ About the Spectrum of the RingsR(n) andR⟨n⟩ ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Two counterexamples about the Nagata and Serre conjecture rings ⋮ On questions related to saturated chains of primes in polynomial rings

Cites Work

• Unnamed Item
• 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)

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