Sets that determine integer-valued polynomials
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Publication:909724
DOI10.1016/0022-314X(89)90062-0zbMath0695.13015MaRDI QIDQ909724
Publication date: 1989
Published in: Journal of Number Theory (Search for Journal in Brave)
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (17)
Integral-valued polynomials over sets of algebraic integers of bounded degree ⋮ What You Should Know About Integer-Valued Polynomials ⋮ On image sets of integer-valued polynomials ⋮ Test sets for polynomials: \(n\)-universal subsets and Newton sequences ⋮ Algebraic properties of the ring of integer-valued polynomials on prime numbers ⋮ Ideals of integer-valued polynomial rings ⋮ On a theorem of R. Gilmer ⋮ Integer-valued polynomials on Krull rings ⋮ Polynomial closure in essential domains ⋮ An overview of some recent developments on integer-valued polynomials: Answers and Questions ⋮ Polynomial Closure in Noetherian Pseudo-valuation Domains ⋮ Integer-Valued Polynomials on a Subset ⋮ Relative Polynomial Closure and Monadically Krull Monoids of Integer-Valued Polynomials ⋮ A survey on fixed divisors ⋮ On the polynomial closure in a valued field ⋮ Integer-valued polynomials in several variables ⋮ Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\)
Cites Work
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- Finitely generated ideals of the ring of integer-valued polynomials
- Un anneau de Prüfer. (A Prüfer ring)
- Idéaux de polynômes et idéaux de valeurs. (Polynomial ideals and value ideals)
- On rings with a certain divisibility property
- On a class of ideals in an algebraic number field
- On Prüfer domains of polynomials.
- A theorem on ideals in prüfer rings of integral-valued polynomials
- Anneaux de 'polynômes à valeurs entières' et anneaux de Fatou
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