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Lecture Notes in Mathematics

Flat Covers of Modules

Authors: Xu, Jinzhong

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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.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Pages 1-3

    Xu, Jinzhong

  • Envelopes and covers

    Pages 5-25

    Xu, Jinzhong

  • Fundamental theorems

    Pages 27-50

    Xu, Jinzhong

  • Flat covers and cotorsion envelopes

    Pages 51-79

    Xu, Jinzhong

  • Flat covers over commutative rings

    Pages 81-106

    Xu, Jinzhong

Buy this book

eBook n/a
  • ISBN 978-3-540-69992-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Softcover n/a
  • ISBN 978-3-540-61640-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Flat Covers of Modules
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1634
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69992-7
DOI
10.1007/BFb0094173
Softcover ISBN
978-3-540-61640-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 162
Topics