Flat Covers of Modules / by Jinzhong Xu.

Format:

Book

Author/Creator:

Xu, Jinzhong, 1958- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1634.

Lecture Notes in Mathematics, 0075-8434 ; 1634

Language:

English

Subjects (All):

K-theory.

K-Theory.

Local Subjects:

K-Theory.

Physical Description:

1 online resource (X, 162 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.

System Details:

text file PDF

Summary:

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.

Contents:

Envelopes and covers

Fundamental theorems

Flat covers and cotorsion envelopes

Flat covers over commutative rings

Applications in commutative rings.

Other Format:

Printed edition:

ISBN:

9783540699927

Access Restriction:

Restricted for use by site license.