Geodesic
Generating Ideals in Rings of Integer-Valued Polynomials
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 231-236

Voir la notice de l'article provenant de la source Cambridge University Press

Let $R$ be a one-dimensional locally analytically irreducible Noetherian domain with finite residue fields. In this note it is shown that if $I$ is a finitely generated ideal of the ring $\text{Int(}R)$ of integer-valued polynomials such that for each $\text{x}\,\in \,R$ the ideal $I\text{(}x\text{)}=\{f(x)|f\in I\}$ is strongly $\text{n}$ -generated, $n\,\ge \,2$ , then $I$ is $\text{n}$ -generated, and some variations of this result.
DOI : 10.4153/CMB-1999-028-0
Mots-clés : 13B25, 13F20, 13F05 
Generating Ideals in Rings of Integer-Valued Polynomials. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 231-236. doi: 10.4153/CMB-1999-028-0
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