Book contents
- Frontmatter
- Contents
- List of Tables
- Notation
- Introduction
- 1 Integral Domains
- 2 Euclidean Domains
- 3 Noetherian Domains
- 4 Elements Integral over a Domain
- 5 Algebraic Extensions of a Field
- 6 Algebraic Number Fields
- 7 Integral Bases
- 8 Dedekind Domains
- 9 Norms of Ideals
- 10 Factoring Primes in a Number Field
- 11 Units in Real Quadratic Fields
- 12 The Ideal Class Group
- 13 Dirichlet's Unit Theorem
- 14 Applications to Diophantine Equations
- List of Definitions
- Location of Theorems
- Location of Lemmas
- Bibliography
- Index
List of Definitions
Published online by Cambridge University Press: 05 September 2012
- Frontmatter
- Contents
- List of Tables
- Notation
- Introduction
- 1 Integral Domains
- 2 Euclidean Domains
- 3 Noetherian Domains
- 4 Elements Integral over a Domain
- 5 Algebraic Extensions of a Field
- 6 Algebraic Number Fields
- 7 Integral Bases
- 8 Dedekind Domains
- 9 Norms of Ideals
- 10 Factoring Primes in a Number Field
- 11 Units in Real Quadratic Fields
- 12 The Ideal Class Group
- 13 Dirichlet's Unit Theorem
- 14 Applications to Diophantine Equations
- List of Definitions
- Location of Theorems
- Location of Lemmas
- Bibliography
- Index
Summary
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- Introductory Algebraic Number Theory , pp. 413 - 416Publisher: Cambridge University PressPrint publication year: 2003