Ideaux de polynomes et ideaux de valeurs |
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Authors: | Jean-Luc Chabert |
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Institution: | (1) 76 rue Chariot, F-75003 Paris |
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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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