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Almost Free Modules

Set-theoretic Methods

1st Edition, Volume 65 - April 29, 2002

Authors: P.C. Eklof, A.H. Mekler

Language: English
Hardback ISBN:
9 7 8 - 0 - 4 4 4 - 5 0 4 9 2 - 0
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 5 2 7 0 5 - 5

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… Read more

Almost Free Modules

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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.