Volume: 10; 1999; 1638 pp; Hardcover
MSC: Primary 13; 14; 16; 18; 19; 20;
Print ISBN: 978-0-8218-0679-1
Product Code: CWORKS/10
List Price: $334.00
Individual Member Price: $267.20
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Selected Works of Maurice AuslanderShare this page
Edited by Idun Reiten; Sverre O. Smalø; Øyvind Solberg
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.
Table of Contents
Table of Contents
Selected Works of Maurice Auslander
Graduate students, researchers, and historians interested in commutative rings and algebras.
One should thank the editors, all of whom were longstanding collaborators of Auslander, for the work involved in editing these volumes. They are a must for any algebraist working in the areas mentioned above to see all the important contributions by Auslander, most of them very timely even today, and some of them more timely than when they were written.
-- Mathematical Reviews