Categories and Modules with K-Theory in View

Klappentext

This book, first published in 2000, is a concise introduction at graduate level to ring theory, module theory and number theory.

Zusammenfassung
This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. About 200 exercises complement the text and introduce further topics.

Inhalt

1. Categories; 2. Categories and exact sequences; 3. Change of rings; 4. The Morita theory; 5. Limits in categories; 6. Localisation; 7. Local-global methods.