# Selected Works of Maurice Auslander

Share 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.

#### Readership

Graduate students, researchers, and historians interested in commutative rings and algebras.

#### Reviews & Endorsements

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