赋值环和超幂的紧扩张
Immediate extensions of valuation rings and ultrapowers
摘要:
我们描述了一维赋值环$V$的直接扩张,它可以嵌入到$V$的超幂关于某个超滤子的某种分离中。对于这样的扩展持有一种阿廷的近似。
英文摘要:
We describe the immediate extensions of a one dimensional valuation ring $V$ which could be embedded in some separation of a ultrapower of $V$ with respect to a certain ultrafilter. For such extensions holds a kind of Artin's approximation.
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