Abelian Groups

This volume contains information offered at the international conference held in Curacao, Netherlands Antilles. It presents the latest developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it reflects the current status of abelian group theory.;Abelian Groups discusses: finite rank Butler groups; almost completely decomposable groups; Butler groups of infinite rank; equivalence theorems for torsion-free groups; cotorsion groups; endomorphism algebras; and interactions of set theory and abelian groups.;This volume contains contributions from international experts. It is aimed at algebraists and logicians, research mathematicians, and advanced graduate students in these disciplines.

Preface	p. iii
Contributors	p. vii
Conference Participants	p. ix
Friedrich Wilhelm Levi, 1888-1966	p. 1
Survey Articles
Finite Rank Butler Groups: A Survey of Recent Results	p. 17
Set-Theoretic Methods: The Uses of Gamma Invariants	p. 43
Modules with Distinguished Submodules and Their Endomorphism Algebras	p. 55
On the Structure of Torsion-free Groups of Infinite Rank	p. 65
Research Articles
Almost Split Sequences and Representations of Finite Posets	p. 79
Modules with Two Distinguished Submodules	p. 97
Groups Associated with Valuations	p. 105
Cotorsion-free Abelian Groups Cotorsion as Modules Over Their Endomorphism Rings	p. 111
Near Isomorphism Invariants for a Class of Almost Completely Decomposable Groups	p. 129
Butler Quotients of Torsion-free Abelian Groups Modulo Prebalanced Subgroups	p. 151
Torsion-free Abelian Groups with Precobalanced Finite Rank Pure Subgroups	p. 157
Quasi-Summands of a Certain Class of Butler Groups	p. 167
Abelian Groups Whose Semi-Endomorphisms Form a Ring	p. 175
Equivalence Theorems for Torsion-free Groups	p. 181
Almost Completely Decomposable Groups with Cyclic Regulator Quotient	p. 193
Endomorphisms of Valuated Torsion-free Modules	p. 201
Regulating Subgroups of Butler Groups	p. 209
Quasi-Realizing Modules	p. 219
Common Extensions of Finitely Additive Measures and a Characterization of Cotorsion Abelian Groups	p. 231
Valuation Domains with Superdecomposable Pure Injective Modules	p. 241
Homological Dimension of Completely Decomposable Groups	p. 247
Index	p. 259
Table of Contents provided by Ingram. All Rights Reserved.

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Summary

Table of Contents

Supplemental Materials