# Invariants of algebraic elements over henselian fields

## TL;DR

This paper explores how Okutsu sequences and MacLane chains can be used to compute invariants of algebraic elements over henselian valued fields, advancing understanding of valuation theory.

## Contribution

It introduces a novel approach linking Okutsu sequences with MacLane chains to compute algebraic invariants over henselian fields.

## Key findings

- Established connections between Okutsu sequences and MacLane chains.
- Provided methods for computing invariants of algebraic elements.
- Enhanced valuation theory techniques for henselian fields.

## Abstract

Let (K,v) be a henselian valued field. In this paper, 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.