Almost free modules [electronic resource] : set-theoretic models / Paul C. Eklof, Alan H. Mekler.
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TextPublication details: Amsterdam ; London : North Holland, 2002. Edition: Rev. edDescription: 1 online resource (620 p.)ISBN: 9780444504920; 0444504923Subject(s): Set theory | Modules (Algebra) | Modules (Algebra) | Set theoryGenre/Form: Electronic books.Additional physical formats: Print version:: Almost free modules.DDC classification: 511.322 LOC classification: QA247 | .E385 2002ebOnline resources: ScienceDirect | Volltext Summary: 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.
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.
Previous ed.: 1990.
Includes bibliographical references and index.
Description based on print version record.
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