Revised Edition
By
P.C. Eklof, Department of Mathematics, University of California, Irvine, CA 92697-3875 USA
A.H. Mekler
Description
This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological
algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect
rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among
these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's
pcf theory to constuct almost free groups. As with the first edition, the book is largely self-contained, and designed to be accessible
to both graduate students and researchers in both algebra and logic. They will find there an introduction to powerful techniques which
they may find useful in their own work.
Included in series
North-Holland Mathematical Library
Audience:
University Mathematical Libraries, Mathematics Departments and Research Institutes.
