Interpolation domains

DOI10.1006/jabr.1999.8151zbMath0990.13014OpenAlexW4213119612MaRDI QIDQ1972422

Jean-Luc Chabert, Sophie Frisch, Paul-Jean Cahen

Publication date: 7 August 2002

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

Full work available at URL: https://semanticscholar.org/paper/5b306699c98c172f02474934c4982d0ff6803cd4

zbMATH Keywords

Prüfer domaininteger-valued polynomialsNoetherianinterpolation domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (18)

Anneaux de Bhargava ⋮ Some Boundedness Conditions for Rings of Integer-Valued Polynomials ⋮ Split absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ PrÜfer-Like Domains and the Nagata Ring of Integral Domains ⋮ Globalized Pseudo-valuation Domains of the Form Int(D) ⋮ Integer-valued polynomials on algebras ⋮ Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields ⋮ On the ultrametric Stone-Weierstrass theorem and Mahler's expansion ⋮ On image sets of integer-valued polynomials ⋮ Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ Paul-Jean Cahen (1946–2019) ⋮ Simultaneous Interpolation and P-adic Approximation by Integer-Valued Polynomials ⋮ On the spectrum of rings of functions ⋮ Prüfer domains of integer-valued polynomials on a subset ⋮ Classification of polynomial mappings between commutative groups. ⋮ Determining Integer-Valued Polynomials From Their Image ⋮ Prüfer domains of integer-valued polynomials and the two-generator property ⋮ Example of an interpolation domain

Cites Work

• Polynômes à valeurs entières sur un anneau de pseudovaluation. (Integer valued polynomials over a pseudovaluation ring)
• Interpolation by integer-valued polynomials
• Finite sums and interpolation formulas over \(\mathrm{GF}[p^n,x\)]
• Integer-Valued Polynomials
• Integer-Valued Polynomials, Prufer Domains, and Localization
• A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain
• Interpolation series for continuous functions on π-adic completions of GF(q, x)

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