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Representation Theory of Artin Algebras : Cambridge Studies in Advanced Mathematics (Paperback) - Maurice Auslander

Representation Theory of Artin Algebras

Cambridge Studies in Advanced Mathematics (Paperback)

Paperback Published: 20th October 1997
ISBN: 9780521599238
Number Of Pages: 440

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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.

Industry Reviews

'This book will be the major source for students studying in this field, and a reference for the material it covers.' Peter Webb, Bulletin of the London Mathematical Society 'A very good source of information for people entering the field.' L. Marki, International Mathematical News '... written in a clear comprehensive style with full proofs. It can very well serve as an excellent reference as well as a textbook for graduate students.' EMS Newletter

Artin rings
Artin algebras
Examples of algebras and modules
The transpose and the dual
Almost split sequences
Finite representation type
The Auslander-Reiten-quiver
Hereditary algebras
Short chains and cycles
Stable equivalence
Modules determining morphisms
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521599238
ISBN-10: 0521599237
Series: Cambridge Studies in Advanced Mathematics (Paperback)
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 440
Published: 20th October 1997
Country of Publication: GB
Dimensions (cm): 22.89 x 15.62  x 2.24
Weight (kg): 0.6

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