Subfields of henselian valued fields

Ramneek Khassa, and Sudesh K. Khanduja. "Subfields of henselian valued fields." Colloquium Mathematicae 120.1 (2010): 157-163. <http://eudml.org/doc/283425>.

@article{RamneekKhassa2010,
abstract = {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 $v_\{k\}$ be the valuation obtained by restricting v to k. We give some necessary and sufficient conditions for $(k,v_\{k\})$ to be henselian. In particular, it is shown that if k is dense in its henselization, then $(k,v_\{k\})$ is henselian. We deduce some well known results proved in this direction through other considerations.},
author = {Ramneek Khassa, Sudesh K. Khanduja},
journal = {Colloquium Mathematicae},
keywords = {Valued fields; non-Archimedean fields},
language = {eng},
number = {1},
pages = {157-163},
title = {Subfields of henselian valued fields},
url = {http://eudml.org/doc/283425},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Ramneek Khassa
AU - Sudesh K. Khanduja
TI - Subfields of henselian valued fields
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 157
EP - 163
AB - 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 $v_{k}$ be the valuation obtained by restricting v to k. We give some necessary and sufficient conditions for $(k,v_{k})$ to be henselian. In particular, it is shown that if k is dense in its henselization, then $(k,v_{k})$ is henselian. We deduce some well known results proved in this direction through other considerations.
LA - eng
KW - Valued fields; non-Archimedean fields
UR - http://eudml.org/doc/283425
ER -