Generating Ideals in Rings of Integer-Valued Polynomials

Canadian mathematical bulletin

关键词: Ricci curvature;    conjugate radius;   

DOI  :  10.4153/CMB-1999-028-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $R$ be a one-dimensional locally analytically irreducibleNoetherian domain with finite residue fields. In this note it isshown that if $I$ is a finitely generated ideal of the ring$Int(R)$ of integer-valued polynomials such that for each $x inR$ the ideal $I(x) ={f(x) mid f in I}$ is strongly$n$-generated, $n geq 2$, then $I$ is $n$-generated, and somevariations of this result.

【 授权许可】

Unknown