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

• Autorzy: Sever Achimescu , Victor Alexandru , Corneliu Stelian Andronescu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Complete subrings; p-adic fields; Generic elements; Spectral norms

Kategorie tematyczne

• 11E95: p -adic theory
• 13A18: Valuations and their generalizations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 347-351

Daty

wydano

2016-01-01

otrzymano

2016-01-13

zaakceptowano

2016-05-10

online

2016-05-25

Twórcy

autor

Sever Achimescu

• Departament of Mathematics and Computer Science Bulevardul Lacul Tei nr. 122-124 Cod postal 020396 sector 2 Bucharest,

autor

Victor Alexandru

• Department of Mathematics, University of Bucharest, str Academiei nr 14 010014 Bucharest,

autor

Corneliu Stelian Andronescu

• University of Pitesti, Faculty of Mathematics-Computer Science, 110040 Pitesti str.Targu din Vale, nr 1, Arges,

Identyfikatory

DOI

10.1515/math-2016-0032