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A theorem of characterization of residual transcendental extensions of a valuation
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Minimal pairs of definition of a residual transcendental extension of a valuation
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On subfields of $k(x)$
L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » (http://rendiconti.math.unipd.it/) implique l’accord avec les conditions générales d’utilisation…
All valuations on $K(X)$
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On the iwasawa algebra associated to a normal element of ℂp
Given a prime number p and the Galois orbit O(x) of a normal element x of ℂp, the topological completion of the algebraic closure of the field of p-adic numbers, we study the Iwasawa algebra of O(x)…
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Trace on Cp
Abstract Let p be a prime number, Q p the field of p -adic numbers, Q p a fixed algebraic closure of Q p , and C p the completion of Q p . For elements T ∈ C p which satisfy a certain diophantine…
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On the Closed Subfields ofCp
The so called ``p-adic analog of the field of complex numbers'' Cp (see [6, 7, 21]) seems to be a very interesting object to study, both from an algebraic and an analytic point of view. Particularly…
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The Generating Degree of ℂ p
Abstract The generating degree $\text{g}\deg \left( A \right)$ of a topological commutative ring $A$ with char $A\,=\,0$ is the cardinality of the smallest subset $M$ of $A$ for which the subring…
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ON THE CONTINUITY OF THE TRACE
The notion of trace for an element in an algebraic extension of a field can be extended for (not necessary algebraic) elements of same extensions of a complete valued field (see [2]). However there…
A representation theorem for a class of rigid analytic functions
Soit p un nombre premier, Q p le corps des nombres p-adiques et C p la completion d'une cloture algebrique de Q p . Dans cet article, nous obtenons un theoreme de representation pour les fonctions…
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