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Currently displaying 1 – 2 of 2

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On rank of extensions of valuations

Sudesh K. Khanduja; Usha Garg — 1990

Colloquium Mathematicae

Subfields of henselian valued fields

Ramneek Khassa; Sudesh K. Khanduja — 2010

Colloquium Mathematicae

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.

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