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North Holland - Almost Free Modules: Set-theoretic Methods

Name: North Holland - Almost Free Modules: Set-theoretic Methods
Brand: North Holland
Price: 125.0 GBP
Availability: InStock

Algebra

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Description

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.

Key Features

Comprehensive coverage of set-theoretic methods in abelian group theory, module theory, and homological algebra.

Completely revised second edition including major mathematical developments from the last decade.

Detailed analysis of Whitehead's Problem and the structure of Ext.

Includes a proof of the Flat Cover Conjecture and applications to cotorsion theories and covers.

Explores the use of Shelah's pcf theory for the construction of almost free groups.

Provides insights into the existence of almost-free modules over non-perfect rings.

Product Specifications

Brand: North Holland
Format: paperback
ASIN: 044454674X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 June 2011
Listed Since: 11 July 2011

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North Holland - Almost Free Modules: Set-theoretic Methods

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