Almost free modules [EBook] : settheoretic models / Paul C. Eklof, Alan H. Mekler.
Almost free modules [EBook] : settheoretic models / Paul C. Eklof, Alan H. Mekler.
This book provides a comprehensive exposition of the use of settheoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almostfree modules over nonperfect rings. This second edi...
Personal Name(s):  Eklof, Paul C. 

Mekler, Alan H.  
Edition: 
Rev. ed. 
Imprint: 
Amsterdam ; London :
North Holland,
2002

Physical Description: 
1 online resource (620 p.) 
Note: 
englisch 
ISBN: 
9780444504920 0444504923 
Subject (LOC):  
Full Text 
This book provides a comprehensive exposition of the use of settheoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almostfree modules over nonperfect 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 selfcontained, 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. 