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 , .
β¦ LIBER β¦
Integer-valued polynomials on algebras
β Scribed by Sophie Frisch
- Book ID
- 118461290
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 206 KB
- Volume
- 373
- Category
- Article
- ISSN
- 0021-8693
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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