Maurice Auslander – författare
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2 produkter
2 produkter
Del 36 - Cambridge Studies in Advanced Mathematics
Representation Theory of Artin Algebras
Häftad, Engelska, 1997
1 210 kr
Skickas inom 7-10 vardagar
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.
Inbunden, Engelska, 1999
3 439 kr
Skickas inom 5-8 vardagar
In view of Maurice Auslander's important contributions to many parts of algebra, there is great interest in the present volume. This book features a broad selection of the core of his work, including commutative algebra, singularity theory, the theory of orders, and the representation theory of artin algebras. Although Auslander worked in many areas, there are characteristics common to most of his research. Of particular note is his use of homological methods, including functor categories. While his early work was concerned mostly with commutative rings and his later work mainly with artin algebras, he was always interested in finding common features and common settings. The broad range and impact of Auslander's contributions are reflected clearly in this volume.The editors have included background material, interrelationships between papers and indications of further developments. A paper of note and one that is not available readily is included: the Queen Mary College Notes on ""Representation Dimension of Artin Algebras"". This book is of interest for the historical development of algebra over a 40-year period and for the use of homological methods in algebra, covering both commutative ring theory and artin algebra theory.