Lecture Notes in Mathematics

Xu, Jinzhong

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.

Details

Published by: Springer

Publication Date: 1996-10-02

Format: Paperback

ISBN-13: 9783540616405

DOI: 10.1007/BFb0094173

Dimensions: 279cm x216cm

Pages: 162