Subfields of henselian valued fields
Ramneek Khassa ; Sudesh K. Khanduja
Colloquium Mathematicae, Tome 120 (2010), p. 157-163 / Harvested from The Polish Digital Mathematics Library
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Let (K,v) be a henselian valued field of arbitrary rank which is not separably closed. Let k be a subfield of K of finite codimension and vk be the valuation obtained by restricting v to k. We give some necessary and sufficient conditions for (k,vk) to be henselian. In particular, it is shown that if k is dense in its henselization, then (k,vk) is henselian. We deduce some well known results proved in this direction through other considerations.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283425 
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     title = {Subfields of henselian valued fields},
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     year = {2010},
     pages = {157-163},
     zbl = {1244.12003},
     language = {en},
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Ramneek Khassa; Sudesh K. Khanduja. Subfields of henselian valued fields. Colloquium Mathematicae, Tome 120 (2010) pp. 157-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-1-12/