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Abelian Groups : Lecture Notes in Pure and Applied Mathematics - Laszlo Fuchs

Abelian Groups

Lecture Notes in Pure and Applied Mathematics

By: Laszlo Fuchs (Editor), Rudiger Gobel (Editor)

Paperback Published: 1st April 1993
ISBN: 9780824789015
Number Of Pages: 280

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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.

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

ISBN: 9780824789015
ISBN-10: 0824789016
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 280
Published: 1st April 1993
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 27.9 x 21.6  x 1.4
Weight (kg): 0.49
Edition Number: 1

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