{"title":"Integer valued polynomials over function fields","authors":"F.J. van der Linden","doi":"10.1016/S1385-7258(88)80009-X","DOIUrl":null,"url":null,"abstract":"<div><p>Let <em>A</em> be an integrally closed subring of a function field <em>K</em> defined over a finite field. In this paper we investigate whether the subring of <em>K[X]</em>, consisting of those polynomials ƒ with ƒ[<em>A</em>]⊂<em>A</em>, has an <em>A</em>-basis {g<sub>i</sub>: i ∈ ℤZ<sub>≥0</sub>}, with deg (<em>g<sub>i</sub>) = i</em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 293-308"},"PeriodicalIF":0.0000,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80009-X","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S138572588880009X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
Let A be an integrally closed subring of a function field K defined over a finite field. In this paper we investigate whether the subring of K[X], consisting of those polynomials ƒ with ƒ[A]⊂A, has an A-basis {gi: i ∈ ℤZ≥0}, with deg (gi) = i.
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