Affiliation:
1. Departamento de Matemática Universidade Federal de São Carlos São Carlos SP Brazil
Abstract
AbstractIn this paper, we present a characterization for the defect of a simple algebraic extension of rank one valued fields using the key polynomials that define the valuation. As a particular example, this gives the classification of defect extensions of degree as dependent or independent presented by Kuhlmann.
Funder
Fundação de Amparo à Pesquisa do Estado de São Paulo