Almost Free Modules
eBook - ePub

Almost Free Modules

Set-theoretic Methods

  1. 620 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Almost Free Modules

Set-theoretic Methods

About this book

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.

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Yes, you can access Almost Free Modules by P.C. Eklof,A.H. Mekler in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica applicata. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Dedication
  6. Preface to the revised edition
  7. Preface
  8. Chapter I: Algebraic Preliminaries
  9. Chapter II: Set Theory
  10. Chapter III: Slender Modules
  11. Chapter IV: Almost Free Modules
  12. Chapter V: Pure-Injective Modules
  13. Chapter VI: More Set Theory
  14. Chapter VII: Almost Free Modules Revisited
  15. Chapter VIII: ℵ1-Separable Groups
  16. Chapter IX: Quotients of Products of Z
  17. Chapter X: Iterated Sums and Products
  18. Chapter XI: Topological Methods
  19. Chapter XII: An Analysis of EXT
  20. Chapter XIII: Uniformization
  21. Chapter XIV: The Black Box and Endomorphism Rings
  22. Chapter XV: Some Constructions in ZFC
  23. Chapter XVI: Cotorsion Theories, Covers and Splitters
  24. Chapter XVII: Dual Groups
  25. Appendix: Open and Solved Problems
  26. Bibliography
  27. Index