Abelian Groups / Edition 1

by Laszlo Fuchs

Overview

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.

Product Details

ISBN-13:	9780824789015
Publisher:	Taylor & Francis
Publication date:	04/28/1993
Series:	Lecture Notes in Pure and Applied Mathematics , #146
Pages:	280
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

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.

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.

Editorial Reviews

Proceedings of a conference held in Curacao, Netherlands Antilles, in 1991. Papers present the latest developments in the most active areas of abelian groups, particularly in torsion-free abelian groups. Topics include 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. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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