Listar por autor "Herrera Govantes, Francisco Javier"
Mostrando ítems 1-7 de 7
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Artículo
Extending a valuation centered in a local domain to the formal completion
(London Mathematical Society, 2012-09)Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily ...
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Artículo
Key polynomials for simple extensions of valued fields
(Worldwide Center of Mathematics, 2022-05-28)In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...
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Artículo
Monomial discrete valuations in k[[X]]
(Cornell University, 2003-07-17)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.
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Tesis Doctoral
Ramificación de valoraciones de superficies algebroides
(1981)Se construyen las valoraciones de un cuerpo de funciones heromorfas formales en dos variables y se estudia la ramificación ...
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Artículo
Rank one discrete valuations of power series fields
(Taylor & Francis, 2007)In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] ...
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Artículo
Valuations in algebraic field extensions
(Elsevier, 2007-06-15)Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality ...
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Artículo
Valuations in fields of power series
(European Mathematical Society, 2003)This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe ...