La th\'eorie arithm\'etique des grandeurs alg\'ebriques de Kronecker (1882)

TL;DR

This paper provides a detailed historical and mathematical commentary on Kronecker's 1882 work, exploring his programmatic approach to the arithmetic theory of algebraic quantities.

Contribution

It offers an in-depth analysis of Kronecker's foundational ideas and their significance in the development of algebraic number theory.

Findings

Historical context of Kronecker's work clarified

Mathematical insights into Kronecker's approach explained

Connections to modern algebraic number theory discussed

Abstract

This article attempts at a linear historical and mathematical commentary of Kronecker's programmatic memoir "Grundz\"uge einer arithmetischen Theorie der algebraischen Gr\"ossen" (1882).