Let A be a Dedekind domain with finite residue fields, K it's quotient field, L a finite separable extension of K, and B the integral closure of A in L. The rings of integer-valued polynomials on A and B are known to be Pru fer domains and will be denoted by Int(A) and Int(B), respectively. We will
Integer valued polynomials over function fields
β Scribed by F.J. van der Linden
- Publisher
- Elsevier Science
- Year
- 1988
- Weight
- 743 KB
- Volume
- 91
- Category
- Article
- ISSN
- 1385-7258
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R be a Dedekind domain whose residue fields are finite, and let K be the field of fractions of R. When S is a (non-empty) subset of K we write Int(S) for the subring of K[X ] consisting of all polynomials f (X ) in K[X] such that f (S ) R. We show that there exist fractional ideals J 0 , J 1 , .
Let \(R\) be a Dedekind domain with field of fractions \(K, L=K(x)\) a finite separable extension of \(K\), and \(S\) the integral closure of \(R\) in \(L\). Let \(I\) be the subring of \(K[X]\) consisting of all polynomials \(g(x)\) in \(K[X]\) such that \(g(R) \subset R\), and let \(E_{x}: I \righ