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.