© 1996

Flat Covers of Modules

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1634)

Table of contents

  1. Front Matter
    Pages I-X
  2. Jinzhong Xu
    Pages 1-3
  3. Jinzhong Xu
    Pages 5-25
  4. Jinzhong Xu
    Pages 27-50
  5. Jinzhong Xu
    Pages 51-79
  6. Jinzhong Xu
    Pages 81-106
  7. Jinzhong Xu
    Pages 107-151
  8. Back Matter
    Pages 153-162

About this book


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.


algebra commutative ring field homological algebra ring theory torsion

Bibliographic information

  • Book Title Flat Covers of Modules
  • Authors Jinzhong Xu
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-61640-5
  • eBook ISBN 978-3-540-69992-7
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 162
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics K-Theory
  • Buy this book on publisher's site