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Representation Theory of Artin Algebras.
・ISBN 978-0-521-59923-8 1997 paper GB£ 97.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-62360-8
| 著者・編者 | Auslander, Maurice / Reiten, Idun / Smalo, Sverre O., |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| ページ数 | 440 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-10729> |
解説
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.