Subfields of henselian valued fields

• Autorzy: Ramneek Khassa , Sudesh K. Khanduja
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12J25: Non-Archimedean valued fields
• 12J10: Valued fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 1
• Strony: 157-163

Daty

wydano

2010

Twórcy

autor

Ramneek Khassa

• Department of Mathematics, Panjab University, Chandigarh 160014, India

autor

Sudesh K. Khanduja

• Department of Mathematics, Panjab University, Chandigarh 160014, India

Identyfikatory

DOI

10.4064/cm120-1-12