Modules Over Non-noetherian Domains (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs) - Hardcover

Fuchs, Laszlo; Salce, Luigi

Hardcover

ISBN 10: 0821819631 ISBN 13: 9780821819630

Publisher: American Mathematical Society, 2001

Synopsis

In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prufer domains, but also discuss Krull and Matlis domains, $h$-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.

About this title

Review

" ... this volume will be a valuable source of information to workers in [the] field." (Bulletin of the London Mathematical Society )

Edition details

• Publisher: American Mathematical Society
• Publication date: 2001
• Language: English
• ISBN 10: 0821819631
• ISBN 13: 9780821819630
• Binding: Hardcover
• Number of pages: 613