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.
Flat Covers of Modules Free Download
April 20, 2022
You may also like
Non Life Insurance Mathematics An Introduction with the Poisson Process PDF
March 27, 2023
Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions...
Solution Manual to Principles of Mathematical Analysis 3rd Edition PDF
March 25, 2023
This is a complete solution guide to all exercises in Rudin’s Principles of Mathematical Analysis. The features of this book are as follows: It covers...
Student Solutions Manual for Mathematical Methods for Physics and Engineering 3rd Edition PDF
March 25, 2023
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the...