Integers for Simple Radical Extensions

TL;DR

This paper determines the structure of the ring of integers and the discriminant for simple radical extensions of number fields, providing explicit descriptions and advancing understanding of their algebraic properties.

Contribution

It offers new explicit formulas for the ring of integers and discriminants in simple radical extensions, enhancing previous theoretical frameworks.

Findings

Explicit descriptions of the ring of integers

Formulas for discriminants of simple radical extensions

Improved understanding of algebraic properties of these fields

Abstract

The ring of integers and the discriminant are determined for number fields which are simple radical extensions.