TY  - BOOK
AU  - Auslander, Maurice.
AU  - Reiten, Idun
AU  - Smalo, Sverre O.
TI  - Representation theory of Artin algebras 
SN  - 9780521599238
U1  - 512.4 
PY  - 1997///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Artin algebras
KW  - Artin rings
KW  - Representations of algebras
KW  - Algebra
N1  - Includes bibliographical references (p. 413-420) and index
N2  - 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. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises
ER  -