ENGLISH

Flat Covers of Modules

By Jinzhong Xu (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1996
ISBN
3540616403, 9783540616405
DOI
10.1007/BFb0094173
LCC
QA3,QA247.3
Open Library ID
OL22343178M
Language
english
Format
DJVU
Filesize
967 kB (989884 bytes)
Series
Lecture Notes in Mathematics 1634
Edition
1
Pages
162\170
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
K-Theory

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.

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