2 citations · 4 across the 3 of their papers we have counts for
3 papers
Rank one discrete valuations of power series fields
F. J. Herrera Govantes, M. A. Olalla Acosta, J. L. Vicente Cordoba
In this paper we study the rank one discrete valuations of the field whose center in $k\lcor\X\rcor$ is the maximal ideal. In sections 2 to 6 we give a construc…
Monomial discrete valuations in k[[X]]
Francisco Javier Herrera Govantes, Miguel Angel Olalla Acosta, Jose Luis Vicente Cordoba
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 co…
Valuations in fields of power series
F. J. Herrera-Govantes, M. A. Olalla Acosta, J. L. Vicente-Cordoba
This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also c…