Analytic normal basis theorem

• Autorzy: Victor Alexandru , Nicolae Popescu , Alexandru Zaharescu
• Języki publikacji: EN

Abstrakty

EN

Let p be a prime number, ℚp the field of p-adic numbers, and $$ \bar {\mathbb{Q}}_p $$ a fixed algebraic closure of ℚp. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚp ⊆ K ⊆ L ⊆ $$ \bar {\mathbb{Q}}_p $$ .

Słowa kluczowe

EN

p-adic fields; normal bases

Kategorie tematyczne

• 11S99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 3
• Strony: 351-356

Daty

wydano

2008-09-01

online

2008-07-02

Twórcy

autor

Victor Alexandru

• University of Bucharest

autor

Nicolae Popescu

• Institute of Mathematics of the Romanian Academy

autor

Alexandru Zaharescu

Bibliografia

• [1] Alexandru V., Popescu E.L., Popescu N., On the continuity of the trace, Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci., 2004, 5, 117–122
• [2] Alexandru V., Popescu N., Zaharescu A., On the closed subfields of ℂp, J. Number Theory, 1998, 68, 131–150 http://dx.doi.org/10.1006/jnth.1997.2198
• [3] Alexandru V., Popescu N., Zaharescu A., Trace on ℂp, J. Number Theory, 2001, 88, 13–48 http://dx.doi.org/10.1006/jnth.2000.2610
• [4] Andronescu S.C., On some subrings of \( \widetilde{\mathbb{Q}}_p \) , Rev. Roumanie Math. Pures Appl., 2003, 48, 343–351
• [5] Ax J., Zeros of polynomials over local fields-The Galois action, J. Algebra, 1970, 15, 417–428 http://dx.doi.org/10.1016/0021-8693(70)90069-4
• [6] Jacobson N., Lectures in abstract algebra Vol III: Theory of fields and Galois theory, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York, 1964
• [7] Popescu N., Vâjâitu M., Zaharescu A., On the existence of trace for elements of ℂp, Algebr. Represent. Theory, 2006, 9, 47–66 http://dx.doi.org/10.1007/s10468-005-9003-0
• [8] Sen S., On automorphisms of local fields, Ann. of Math., 1969, 90, 33–46 http://dx.doi.org/10.2307/1970680
• [9] Tate J.T., p - divisible groups, Proc. Conf. Local Fields (1966 Driebergen), Springer, Berlin, 1967, 158–183

Identyfikatory

DOI

10.2478/s11533-008-0027-7