A Course In Algebraic Number Theory

Ash R.B.

This is a text for a basic course in algebraic number theory.

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Table of contents :
Preface……Page 1
Table of Contents……Page 2
1 Introduction……Page 4
2 Norms Traces and Discriminants……Page 12
3 Dedekind Domains……Page 24
4 Factoring of Prime Ideals in Extensions……Page 33
5 The Ideal Class Groups……Page 42
6 The Dirichlet Unit Theorem……Page 49
7 Cyclotomic Extensions……Page 56
8 Factoring of Prime Ideals in Galois Extensions……Page 63
9 Local Fields……Page 71
Solutions……Page 82
Index……Page 93