North Holland - Almost Free Modules: Set-theoretic Methods

Expand your mathematical research with the second edition of Almost Free Modules: Set-theoretic Methods. Published by North Holland, this updated text provides a thorough exposition of set-theoretic methods applied to abelian group theory, module theory, and homological algebra. This revised edition includes major developments from the last decade, making it an essential resource for advanced study. Readers can explore applications to Whitehead's Problem, the structure of Ext, and the existence of almost-free modules over non-perfect rings. The text also covers cotorsion theories and covers, including a proof of the Flat Cover Conjecture. Additionally, it details the use of Shelah's pcf theory to construct almost free groups. This book serves as a comprehensive guide for mathematicians working at the intersection of set theory and algebra.