Maximal immediate extensions of valued differential fields: MAXIMAL IMMEDIATE EXTENSIONS OF VALUED DIFFERENTIAL FIELDS
Maximal immediate extensions of valued differential fields: MAXIMAL IMMEDIATE EXTENSIONS OF VALUED DIFFERENTIAL FIELDS
复制标题
值微分域的最大立即扩展：MAXIMAL IMMEDIATE EXTENSIONS OF VALUED DIFFERENTIAL FIELDS
DOI：
10.1112/plms.12128
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发表时间：
2018
影响因子：
1.8
通讯作者：
van der Hoeven, Joris
中科院分区：
文献类型：
--
作者：
Aschenbrenner, Matthias;van den Dries, Lou;van der Hoeven, Joris
我们证明了每一个值微分域都有一个球完备的直接严格扩张。我们还讨论了问题的唯一性同构这样的扩展。
We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an extension.