标题： P进数对代数整数和整值多项式环的剩余类环的逼近 显示英文标题

标题： P-adic approximation of algebraic integers and residue class rings of rings of integer-valued polynomials

摘要： 设 F:K 是数域的伽罗瓦扩张，Q 是 O_F 中位于 O_K 的素理想 P 之上的素理想。通过分析 O_K 在 O_F 中的 Q-闭包，我们刻画了那些整数环 O_K，使得 Int(O_K) 对非零素理想的每个剩余类环都是 GE2（即每个单位对都可以通过一系列初等变换变为 (1,0)）。 显示英文摘要

摘要： Let F:K be a Galois extension of number fields and Q a prime ideal of O_F lying over the prime P of O_K. By analyzing the Q-adic closure of O_K in O_F we characterize those rings of integers O_K for which every residue class ring of Int(O_K) modulo a non-zero prime ideal is GE2 (meaning that every unimodular pair can be trasformed to (1,0) by a series of elementary transformations).