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Almost Free Modules: Set-theoretic Methods PDF

620 Pages·2002·25.665 MB·English
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by P.C. Eklof, A.H. Mekler| 2002| 620 pages| 25.665| English

About Almost Free Modules: Set-theoretic Methods

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.

Detailed Information

Author:P.C. Eklof, A.H. Mekler
Publication Year:2002
ISBN:9780444504920
Pages:620
Language:English
File Size:25.665
Format:PDF
Price:FREE
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