UID:
edoccha_9959186181102883
Format:
1 online resource (X, 162 p.)
Edition:
1st ed. 1996.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-69992-9
Series Statement:
Lecture Notes in Mathematics, 1634
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
Envelopes and covers -- Fundamental theorems -- Flat covers and cotorsion envelopes -- Flat covers over commutative rings -- Applications in commutative rings.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-61640-3
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0094173
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