Geodesic
Subfields of henselian valued fields
Ramneek Khassa 1   ; Sudesh K. Khanduja 1
1 Department of Mathematics Panjab University Chandigarh 160014, India
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 157-163 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $v_k$ 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.
DOI : 10.4064/cm120-1-12
Keywords: henselian valued field arbitrary rank which separably closed subfield finite codimension valuation obtained restricting necessary sufficient conditions henselian particular shown dense its henselization henselian deduce known results proved direction through other considerations

Ramneek Khassa  1   ; Sudesh K. Khanduja  1

1 Department of Mathematics Panjab University Chandigarh 160014, India 
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Ramneek Khassa; Sudesh K. Khanduja. Subfields of henselian valued fields. Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 157-163. doi: 10.4064/cm120-1-12

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