On subfields of
On the extension of valuations on a field to . - I
Some elementary remarks about -local fields
On the extension of a valuation on a field to . - II
On Dedekind domains in infinite algebraic extensions
Anneaux semi-artiniens
Analytic normal basis theorem
Let p be a prime number, ℚp the field of p-adic numbers, and 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 ⊆ .
A representation theorem for a class of rigid analytic functions
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
On the structure of compact subsets of ℂₚ
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