Abelian Groups

Proceedings of the 1991 Curacao Conference
Herausgeber: Fuchs, Laszlo; Gobel, Rudiger

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: River Publishers
• Seitenzahl: 280
• Erscheinungstermin: 1. April 1993
• Englisch
• Abmessung: 251mm x 177mm x 13mm
• Gewicht: 494g
• ISBN-13: 9780824789015
• ISBN-10: 0824789016
• Artikelnr.: 20959910

Autorenporträt

Laszlo Fuchs is an Evelyn and John G. Phillips Distinguished Professor of Mathematics at Tulane University, New Orleans, Louisiana. He is the author of more than 160 research papers on abelian groups, modules, and partially ordered algebraic systems and the author or coauthor of several books and lecture notes including the standard reference, Infinite Abelian Groups, Volumes /-// and, with Luigi Salce, Modules Over Valuation Domains (Marcel Dekker, Inc.). He has been a Professor at Eotvos University, Budapest, Hungary, and a Visiting Professor at universities in Australia, Canada, France, Germany, Israel, Italy, South Africa, and the United States. Rudiger Gobel is a Professor of Mathematics at the University of Essen, Germany. He is the author or coauthor of more than 100 research papers dealing with various aspects of abelian group theory and interactions between algebra and logic and the editor of several conference proceedings on abelian groups. He has been a Visiting Professor at universities in the United Kingdom, Germany, Israel, Ireland, Italy, and the United States.

Inhaltsangabe

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.