La inversión es una transformación en el plano euclídeo extendido, que transforma rectas y circunferencias en rectas y ...

In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...

According to Galois theory, every irreducible quintic whose Galois group is isomorphic to A5 can not be solved by radicals, ...

This paper makes an introduction to the theory of valuations on fields, we try to analyse the extension of valuations in ...

Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily ...

Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality ...

In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] ...

Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.

This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe ...

It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ...

Let v be a rank-one discrete valuation of the field Kn=k((X1,…,Xn)). We know, after [1], that if n=2 then the dimension ...

En la presente memoria se estudian las valoraciones discretas de rango 1 sobre un cuerpo de series en n variables con ...