Representation Theory of Artin Algebras

Zusammenfassung This book is an introduction to the contemporary representation theory of Artin algebras! by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra! the presentation is entirely self-contained! so the book is a suitable introduction for any mathematician (especially graduate students) to this field. Inhaltsverzeichnis 1. Artin rings; 2. Artin algebras; 3. Examples of algebras and modules; 4. The transpose and the dual; 5. Almost split sequences; 6. Finite representation type; 7. The Auslander-Reiten-quiver; 8. Hereditary algebras; 9. Short chains and cycles; 10. Stable equivalence; 11. Modules determining morphisms.

Produktdetails

• Autoren: Maurice Auslander, Maurice (Brandeis University Auslander, Maurice Reiten Auslander, Idun Reiten, Sverre O. Smalo
• Mitarbeit: Bela Bollobas (Herausgeber), W. Fulton (Herausgeber)
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 21.08.1997
• EAN: 9780521599238
• ISBN: 978-0-521-59923-8
• Seiten: 440
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra