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A generalized fundamental principle

Part of: Topological fields

Published online by Cambridge University Press:  26 February 2010

Sudesh K. Khanduja  and
Jayanti Saha
Sudesh K. Khanduja
Affiliation:
Center for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India. e-mail: [email protected]
Jayanti Saha
Affiliation:
Center for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India.
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Abstract

Let ν be a rank 1 henselian valuation of a field K having unique extension ῡ to an algebraic closure of K. For any subextension L/K of /K, let G (L), Res (L) denote respectively the value group and the residue field of the valuation obtained by restricting ῡ to L. If a∈\K define

MSC classification

Secondary: 12J10: Valued fields
Type
Research Article
Information
Mathematika , Volume 46 , Issue 1 , June 1999 , pp. 83 - 92
Copyright
Copyright © University College London 1999

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References

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