Integers for Simple Radical Extensions
Julius Kraemer

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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Rings, Modules, and Algebras · Analytic Number Theory Research
