An Application of the Dedekind-Hasse Criterion

TL;DR

This paper demonstrates how the Dedekind-Hasse criterion can be applied to prove results about quadratic number fields, offering an alternative to traditional ideal theory methods.

Contribution

It introduces a novel application of the Dedekind-Hasse criterion to quadratic number fields, simplifying certain proofs.

Findings

Simplified proof of results in quadratic number fields

Application of Dedekind-Hasse criterion to algebraic number theory

Alternative approach to ideal class theory

Abstract

In this article we show how the Dedekind-Hasse criterion may be applied to prove a simple result about quadratic number fields that usually is derived as a consequence of the theory of ideals and ideal classes.