ANNEAU DE DEDEKIND PDF

Si un anneau A de caractéristique nulle vérifie A[X]sub = A[X]bin alors, pour tout entier n > 0, In = (1 / n!)A. 2. Caractérisation des anneaux de Dedekind A pour. Sous la condition (iv), nous savons que A est un anneau de Dedekind généralisé [FP, Théorème 27 (vi) => (i)]. Soit F un système localisant de A et I e 7F. Alors. (C. = K[ X “) X 2 • • • 3 – r [Il 1,m r,m, m=(m1, ,m)eIN r où K est le corps des fractions d’ un anneau de Dedekind, et où IN” est muni de l ‘ordre-produit de celui .

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Construction, sur un anneau de Dedekind, d’une base reguliere de polynomes a valeurs entieres.

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