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Integer-valued polynomials on algebras

✍ 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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πŸ“œ SIMILAR VOLUMES


Integer-Valued Polynomials on a Subset
✍ CΓ‘tΓ‘lin BΓ‘rbΓ‘cioru πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 254 KB

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 , .

Extension Fields and Integer-Valued Poly
✍ Catalin Barbacioru πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 163 KB

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