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Extensions of Abelian Groups: and Torsion-Free Pairs - Softcover

 
9783838117881: Extensions of Abelian Groups: and Torsion-Free Pairs
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Ext(A,B) carries a natural group structure and one of the striking problems in abelian group theory is to determine completely the structure of Ext(A,B) for various groups A and B. In this book we will concentrate on the case of abelian groups and in some cases on modules over subrings of the rational numbers. In particular we ask, when Ext(A,B) is torsion-free. This book contains answers for finite rank groups A and B and also sheds some light on the infinite rank case, e.g. a generalization of coseparability. Furthermore we introduce the reader in the concept of torsion-free pairs, a generalization of Salce's cotorsion-theories.

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studied math at the University of Duisburg-Essen. Since 2008 he is lecturer on algebra and geometry.

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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Ext(A,B) carries a natural group structure and one of the striking problems in abelian group theory is to determine completely the structure of Ext(A,B) for various groups A and B. In this book we will concentrate on the case of abelian groups and in some cases on modules over subrings of the rational numbers. In particular we ask, when Ext(A,B) is torsion-free. This book contains answers for finite rank groups A and B and also sheds some light on the infinite rank case, e.g. a generalization of coseparability. Furthermore we introduce the reader in the concept of torsion-free pairs, a generalization of Salce s cotorsion-theories. 100 pp. Englisch. Seller Inventory # 9783838117881

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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Ext(A,B) carries a natural group structure and one of the striking problems in abelian group theory is to determine completely the structure of Ext(A,B) for various groups A and B. In this book we will concentrate on the case of abelian groups and in some cases on modules over subrings of the rational numbers. In particular we ask, when Ext(A,B) is torsion-free. This book contains answers for finite rank groups A and B and also sheds some light on the infinite rank case, e.g. a generalization of coseparability. Furthermore we introduce the reader in the concept of torsion-free pairs, a generalization of Salce s cotorsion-theories. Seller Inventory # 9783838117881

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