Invariants of algebraic elements over Henselian fields

Abstract

Let (K, v) be a Henselian valued field. In this article, we use Okutsu sequences for monic, irreducible polynomials in $K[x]$, and their relationship with MacLane chains of inductive valuations on $K[x]$, to obtain some results on the computation of invariants of algebraic elements over K.

Keywords:

• Inductive valuations; Okutsu sequences; invariants of defectless polynomials

2020 Mathematics Subject Classification:

• Primary: 13A18
• Secondary: 12J10
• 12E05

Additional information

Funding

Partially supported by grant 204224/2014-4 from CNPq.