Flat Covers of Modules: 1634 (Lecture Notes in Mathematics, 1634) - Softcover

Xu, Jinzhong

Softcover

ISBN 10: 3540616403 ISBN 13: 9783540616405

Publisher: Springer, 1996

Synopsis

Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. This book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover. It shows that Enochs' conjecture is true for a large variety of interesting rings, and then presents the applications of the results. Readers with reasonable knowledge in rings and modules will not have difficulty in reading this book. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in this field.

About this title

Synopsis

Since the injective envelope and the projective cover were defined by Eckmann and Bas in the 1960s, they have had an influence on the development of homological algebra, ring theory and module theory. In the 1980s Enochs introduced the flat cover and conjectured that every model has such a cover over every ring. This volume provides the uniform methods and systematic treatment to study general envelopes of flat cover. It shows that Enoch's conjecture is true for a large variety of rings, and then presents the applications of the results. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in the field.

Edition details

• Publisher: Springer
• Publication date: 1996
• Language: English
• ISBN 10: 3540616403
• ISBN 13: 9783540616405
• Binding: Paperback
• Number of pages: 172