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Ideaux de polynomes et ideaux de valeurs

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Abstract

Let B be the ring of integral valued polynomials over a noetherian domain A. We study in which case finitely generated ideals of B are uniquely determined by their ideals of values at each element of A. We give necessary and sufficient conditions which are verified for example when A is any ring of integers of an algebraic number field, such that each quotient ring Am with respect to a maximal ideal m is analytically irreducible.

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  1. 76 rue Chariot, F-75003, Paris

    Jean-Luc Chabert

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  1. Jean-Luc Chabert
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Chabert, JL. Ideaux de polynomes et ideaux de valeurs. Manuscripta Math 60, 277–298 (1988). https://doi.org/10.1007/BF01169341

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