A characterization for the defect of rank one valued field extensions

2022/10/17 by Josnei Novacoski, Novacoski, Josnei
Mathematics · #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Meromorphic and Entire Functions #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2210.09157

openalex publication_date 2022/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 p as dependent or independent presented by Kuhlmann.

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