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Flat Covers of Modules: Lecture Notes in Mathematics, cartea 1634

Autor Jinzhong Xu
en Limba Engleză Paperback – 2 oct 1996
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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Specificații

ISBN-13: 9783540616405
ISBN-10: 3540616403
Pagini: 172
Ilustrații: X, 162 p.
Dimensiuni: 216 x 279 x 9 mm
Greutate: 0.27 kg
Ediția:1996
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Envelopes and covers.- Fundamental theorems.- Flat covers and cotorsion envelopes.- Flat covers over commutative rings.- Applications in commutative rings.