# On the closed subfields of [...] Q ¯ p ${\tilde{\overline{Q}}}_{p}$

Sever Achimescu; Victor Alexandru; Corneliu Stelian Andronescu

Open Mathematics (2016)

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

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topSever 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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