Henselian implies large

Henselian implies large
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Henselian 意味着大

DOI:
10.4007/annals.2010.172.2183
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发表时间:
2010
影响因子:
4.9
通讯作者:
F. Pop
F. Pop
中科院分区:
数学1区
文献类型:
--
作者:
F. Pop

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本文证明了关于非平凡理想的Henselian域的商域是一个大域,并利用(广义)Krull域上的线的分歧覆盖的特化定理给出了这一事实的一些应用.
In this note we show that the quotient field of a domain which is Henselian with respect to a nontrivial ideal is a large field, and give some applications of this fact, using a specialization theorem for ramified covers of the line over (generalized) Krull fields.