On the closed subfields of Q¯~p${\tilde{\bar Q}}_p$

Let p be a prime number, and let Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$ be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$, the completion of...

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Bibliographic Details
Main Authors: Achimescu Sever, Alexandru Victor, Stelian Andronescu Corneliu
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0032/math-2016-0032.xml?format=INT
Description
Summary:Let p be a prime number, and let Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$ be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$, the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.
ISSN:2391-5455