系数域与正特征标扩张
Coefficient fields and scalar extension in positive characteristic
摘要：
设k是正特征的完满域，k（t）_{per}是k（t）的完全闭包，A=k[[X_1，.，X_n]]。本文证明了对A '= k（t）_{per} \otimes_k A的任意极大理想N，\hat{A'_N}中被关于X_i的Taylor Hasse-Schmidt导子湮没的元素构成\hat{A'_N}的一个系数域.
英文摘要：
Let k be a perfect field of positive characteristic, k(t)_{per} the perfect closure of k(t) and A=k[[X_1,...,X_n]]. We show that for any maximal ideal N of A'=k(t)_{per}\otimes_k A, the elements in \hat{A'_N} which are annihilated by the "Taylor" Hasse-Schmidt derivations with respect to the X_i form a coefficient field of \hat{A'_N}.
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。
