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

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DOI

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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     title = {Generating {Ideals} in {Rings} of {Integer-Valued} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {231--236},
     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-028-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-028-0/}
}
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