Existence de systèmes p-adiques admettant une approximation donnée
نویسندگان
چکیده
منابع مشابه
Anneaux de Fonctions p-adiques
We study first-order properties of the quotient rings 9(V)/1 by a prime ideal 9, where 9( V) is the ring of p-adic valued continuous definable functions on some affine p-adic variety V. We show that they are integrally closed Henselian local rings, with a p-adically closed residue field and field of fractions, and they are not valuation rings in general but always satisfy Vx, y(x Iy2 V y IX2). ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1966
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-11-3-365-370