Paul-Jean Cahen (1946–2019)

DOI10.1007/978-3-031-28847-0_1zbMath1529.13002OpenAlexW4383568001MaRDI QIDQ6190887

Jean-Luc Chabert

Publication date: 6 February 2024

Published in: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-28847-0_1

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of commutative algebra (13-03)

Cites Work

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• Newtonian and Schinzel quadratic fields
• Characterizing minimal ring extensions
• Finite generation properties for various rings of integer-valued polynomials
• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Dimension of an integer valued polynomial ring
• Newtonian and Schinzel sequences in a domain
• Spectre d'anneaux de polynômes sur une suite croissante d'anneaux. (Spectrum of polynomial rings over an ascending chain of rings)
• Polynômes à valeurs entières sur un anneau de pseudovaluation. (Integer valued polynomials over a pseudovaluation ring)
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Éléments quasi-entiers et extensions de Fatou
• Rings of integer-valued rational functions
• Skolem properties, value-functions, and divisorial ideals
• Polynomial closure
• On the ultrametric Stone-Weierstrass theorem and Mahler's expansion
• Mori domains of integer-valued polynomials
• Pointwise minimal extensions
• Test sets for polynomials: \(n\)-universal subsets and Newton sequences
• Full subsets of a noetherian ring
• Elasticity for integral-valued polynomials
• Interpolation domains
• Integer-valued polynomials and Prüfer \(v\)-multiplication domains
• On locally divided domains of the form Int(\(D\))
• Integer-Valued Polynomials
• Open Problems in Commutative Ring Theory
• FINITELY VALUATIVE DOMAINS
• Polynomes à valeurs entières sur un anneau non analytiquement irréductible.
• Integer-Valued Polynomials on a Subset
• Radical valuatif et sous-extensions
• Anneaux noethériens de hilbert
• Intersection de produits fibres et formule de la dimension
• Commutative Torsion Theory
• Bhargava’s Early Work: The Genesis of <em>P</em>-Orderings
• What You Should Know About Integer-Valued Polynomials
• Valuative Heights and Infinite Nagata Rings
• Discrete valuation overrings of Noetherian domains
• Finiteness and Skolem Closure of Ideals for Non-Unibranched Domains
• VALUATIVE DOMAINS
• Polynomes a Valeurs Entieres
• Torsion Theory and Associated Primes