Rings of Algebraic Integers

In this chapter we will learn about rings of algebraic integers and discuss some of their properties. We will prove that the ring of integers $ \O _K$ of a number field is Noetherian. We will also develop some basic properties of norms, traces, and discriminants, and give more properties of rings of integers in the general context of Dedekind domains.


William Stein 2004-05-06