On the closed subfields of [...] Q ¯   p Q ¯ ˜ p

Sever Achimescu; Victor Alexandru; Corneliu Stelian Andronescu

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 347-351
  • ISSN: 2391-5455

Abstract

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Let p be a prime number, and let [...] Q¯ p 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 Q ¯ ˜ 𝐩 , the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.

How to cite

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Sever Achimescu, Victor Alexandru, and Corneliu Stelian Andronescu. "On the closed subfields of [...] Q ¯   p ${\tilde{\bar{Q}}}_p$." Open Mathematics 14.1 (2016): 347-351. <http://eudml.org/doc/277096>.

@article{SeverAchimescu2016,
abstract = {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.},
author = {Sever Achimescu, Victor Alexandru, Corneliu Stelian Andronescu},
journal = {Open Mathematics},
keywords = {Complete subrings; p-adic fields; Generic elements; Spectral norms; complete subrings; -adic fields; generic elements; spectral norms},
language = {eng},
number = {1},
pages = {347-351},
title = {On the closed subfields of [...] Q ¯   p $\{\tilde\{\bar\{Q\}\}\}_p$},
url = {http://eudml.org/doc/277096},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Sever Achimescu
AU - Victor Alexandru
AU - Corneliu Stelian Andronescu
TI - On the closed subfields of [...] Q ¯   p ${\tilde{\bar{Q}}}_p$
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 347
EP - 351
AB - 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.
LA - eng
KW - Complete subrings; p-adic fields; Generic elements; Spectral norms; complete subrings; -adic fields; generic elements; spectral norms
UR - http://eudml.org/doc/277096
ER -

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