Integer-Valued Polynomials, Prufer Domains, and Localization

DOI10.2307/2160058zbMath0781.13014OpenAlexW4250815104MaRDI QIDQ3134675

Jean-Luc Chabert

Publication date: 13 September 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160058

zbMATH Keywords

Prüfer domainintegral domainalmost Dedekind domainring of integer-valued polynomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (14)

Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ Idempotent plethories ⋮ Another Prüfer ring of integer-valued polynomials ⋮ Sequence domains and integer-valued polynomials ⋮ The conditions \(\text{Int}(R)\subseteq R_S[X\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials] ⋮ Localizations of integer‐valued polynomials and of their Picard group ⋮ A Survey on Flatness in Integer-Valued Polynomial Rings ⋮ Bhargava rings that are Prüfer v-multiplication domains ⋮ Interpolation domains ⋮ Integer-valued polynomials and Prüfer \(v\)-multiplication domains ⋮ On the module structure of the integer-valued polynomial rings ⋮ A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain ⋮ Almost Krull domains and their rings of integer-valued polynomials ⋮ Prüfer Domains of Integer-Valued Polynomials

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