Generating Ideals in Rings of Integer-Valued Polynomials
AbstractLetRbe 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 Int(R) of integer-valued polynomials such that for eachx∈ R the idealis stronglyn-generated,n≥ 2, thenIisn-generated, and some variations of this result.
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