特征零点的任意微分封闭场的几何模型
A geometric model of an arbitrary differentially closed field of characteristic zero
摘要:
给出了任意微分闭域的初等构造和微分域的泛微分扩张的Nash函数域的初等构造。我们还给出了阿基米德序微分闭域的一个Nash函数的刻画。
英文摘要:
We give an elementary construction of an arbitrary differentially closed field and of a universal differential extension of a differential field in terms of Nash function fields. We also give a characterization of any Archimedean ordered differentially closed field in terms of Nash functions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。