A characterization for the defect of rank one valued field extensions
Commutative Algebra
2022-10-18 v1
Abstract
In 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.
Cite
@article{arxiv.2210.09157,
title = {A characterization for the defect of rank one valued field extensions},
author = {Josnei Novacoski},
journal= {arXiv preprint arXiv:2210.09157},
year = {2022}
}