Abelian Groups  book cover
1st Edition

Abelian Groups

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ISBN 9780824789015
Published April 28, 1993 by CRC Press
280 Pages

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Book Description

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.

Table of Contents

Friedrich Wilhelm Levi, 1888-1966, L. Fuchs and R. Gobel. Part 1 Survey articles: finite rank butler groups - a survey of recent results, D. Arnold and C. Vinsonhaler; set-theoretic methods - the use of gamma invariants, P.C. Eklof; modules with distinguished submodules and their endomorphism algebras, R. Gobel; on the structure of torsion-free groups of infinite rank, P. Hill. Part 2 Research articles: almost split sequences and representations of finite posets, D. Arnold and C. Vinsonhaler; modules with two distinguished submodules, C. Bottinger and R. Gobel; groups associated with valuations, H. Brungs; corosion-free abelian groups; cotorsion as modules over their endomorphism rings, M. Dugas and T.G. Faticoni; near isomorphism invariants for a class of almost completely decomposable groups, M. Dugas and E. Oxford; butler quotients of torsion-free abelian groups; modulo prebalanced subgroups, L. Fuchs and C. Metelli; torsion-free abelian groups with precobalanced finite rank pure subgroups, A.J. Biovannitti; quasi-summands of a certain class of butler groups, H.P. Goeters and W. Ullery; abelian groups whose semi-endomorphisms form a ring, J. Hausen; equivalence theorems for torsion-free groups, P. Hill and C. Megibben; almost completely decomposable groups with cyclic regulator quotient, A. Mader and O. Mutzbauer; endomorphisms of valuated torsion-free modules, W. May; regulating subgroups of butler groups, O. Mutzbauer; quasi-realizing modules, R.S. Pierce and C. Vinsonhaler; common extensions of finitely additive measures and a characterization of cotorsion abelian groups, K.M. Rangaswamy and J.D. Reid; valuation domains with superdecomposable pure injective modules, L. Salce; homological dimension of completely decomposable groups, C. Vinsonhaler and W. Wickless.

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