The conditions \(\text{Int}(R)\subseteq R_S[X]\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials

DOI10.1016/S0022-4049(96)00107-7zbMath0897.13022MaRDI QIDQ1380057

David E. Rush

Publication date: 17 March 1998

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

zbMATH Keywords

Prüfer domaininteger-valued polynomialsalmost Dedekind domainsglad domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (8)

Some Boundedness Conditions for Rings of Integer-Valued Polynomials ⋮ Integer-Valued Polynomial Rings,t-Closure, and Associated Primes ⋮ Localizations of integer‐valued polynomials and of their Picard group ⋮ Integer-valued polynomials and Prüfer \(v\)-multiplication domains ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain ⋮ Non-triviality conditions for integer-valued polynomial rings on algebras ⋮ Integer-valued skew polynomials

Cites Work

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• The Ring of Integer-Valued Polynomials of a Dedekind Domain
• On Prüfer domains of polynomials.
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• The Noetherian Property in Rings of Integer-Valued Polynomials
• Anneaux de 'polynômes à valeurs entières' et anneaux de Fatou
• Locally Noetherian Commutative Rings

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