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North Holland Almost Free Modules: Set-theoretic Methods - Mathematics

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Description

This comprehensive mathematics textbook explores set-theoretic methods in abelian group theory, module theory, and homological algebra, with applications to Whitehead's Problem, Ext structure, and almost-free modules over non-perfect rings. The second edition has been completely revised and updated to reflect major developments from the past decade, incorporating cotorsion theories, covers, and a proof of the Flat Cover Conjecture. The book also applies Shelah's pcf theory to construct almost free groups, providing rigorous coverage of advanced algebraic concepts for researchers and graduate students in pure mathematics and abstract algebra.

Key Features

Almost Free Modules covers set-theoretic methods applied to abelian group theory, module theory, and homological algebra for advanced mathematical study.

The second edition includes updated proofs of the Flat Cover Conjecture and developments in cotorsion theories and covers from recent research.

Shelah's pcf theory is used throughout to construct almost free groups and solve complex structural problems in abstract algebra.

North Holland publishes this text with applications to Whitehead's Problem and the structure of Ext for graduate-level mathematicians.

The revised content addresses non-perfect rings and provides comprehensive treatment of homological algebra techniques essential for modern algebraic research.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 June 2011
Listed Since
11 July 2011

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No barcode data available

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