Academic Journal
Two classes of ideals determined by integer-valued polynomials
| العنوان: | Two classes of ideals determined by integer-valued polynomials |
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| المؤلفون: | P.J. CAHEN, S.T. CHAPMAN, K. ROEGNER, W.W. SMITH |
| المصدر: | Rendiconti di Matematica e delle Sue Applicazioni, Vol 16, Iss 4, Pp 625-636 (1996) |
| بيانات النشر: | Sapienza Università Editrice, 1996. |
| سنة النشر: | 1996 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | integer-valued polynomial, dedekind domain, Mathematics, QA1-939 |
| الوصف: | If D is a domain with quotient field K, let Int(D) = {f(X) ∈ K[X] | f(d) ∈ D for every d ∈ D} be the ring of integer-valued polynomials over D. It is well known that the binomial polynomials GX n H = X(X−1)...(X−n+1) n! form a basis of Int(ZZ) as a free ZZ-module and that for every prime integer p, the Fermat polynomials fp(X) = 1 p (Xp − X) are in Int(ZZ). If the domain D contains ZZ, for each nonnegative integer n, set C(n) = {α ∈ K | α GX n H ∈ Int(D)}, and for every prime integer p, set E(p) = {α ∈ K | α · fp(X) ∈ Int(D)} . Each C(n) and E(p) is an ideal of D which we explicitly determine when D is a Dedekind domain. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English French Italian |
| تدمد: | 1120-7183 2532-3350 |
| Relation: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(4)/625-636.pdf; https://doaj.org/toc/1120-7183; https://doaj.org/toc/2532-3350 |
| URL الوصول: | https://doaj.org/article/8dddb2449a8543d0b33f014a64758e18 |
| رقم الانضمام: | edsdoj.8dddb2449a8543d0b33f014a64758e18 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 11207183 25323350 |
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