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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2016-01-01
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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 |
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. |
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ISSN: | 2391-5455 |