Flat covers of modules /
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 ov...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1996]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1634. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 161 pages) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [153]-157) and index. |
| ISBN: | 9783540699927 (electronic bk.) 3540699929 (electronic bk.) |
| ISSN: | 0075-8434 ; |