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- catalog abstract "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.".
- catalog contributor b10063078.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "1. Envelopes and Covers -- 2. Fundamental Theorems -- 3. Flat Covers and Cotorsion Envelopes -- 4. Flat Covers over Commutative Rings -- 5. Applications in Commutative Rings.".
- catalog description "Includes bibliographical references (p.[153]-157) and index.".
- catalog description "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.".
- catalog extent "x, 161 p. :".
- catalog hasFormat "Flat covers of modules.".
- catalog identifier "3540616403 (Berlin : alk. paper)".
- catalog isFormatOf "Flat covers of modules.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1634.".
- catalog isPartOf "Lecture notes in mathematics ; 1634".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Flat covers of modules.".
- catalog subject "510 s 512/.4 20".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "Modules (Algebra)".
- catalog subject "QA3 .L28 no. 1634 QA247.3".
- catalog tableOfContents "1. Envelopes and Covers -- 2. Fundamental Theorems -- 3. Flat Covers and Cotorsion Envelopes -- 4. Flat Covers over Commutative Rings -- 5. Applications in Commutative Rings.".
- catalog title "Flat covers of modules / Jinzhong Xu.".
- catalog type "text".