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Abelian Groups, Rings and Modules

About this Title

A. V. Kelarev, R. Göbel, K. M. Rangaswamy, P. Schultz and C. Vinsonhaler, Editors

Publication: Contemporary Mathematics
Publication Year: 2001; Volume 273
ISBNs: 978-0-8218-2751-2 (print); 978-0-8218-7863-7 (online)
DOI: https://doi.org/10.1090/conm/273
MathSciNet review: 1817145

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Table of Contents

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Front/Back Matter

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Part I. Introduction

• Luigi Salce – László Fuchs and his “moddom” work [MR 1817146]

Part II. Survey Articles

• A. V. Kelarev and P. Solé – Error-correcting codes as ideals in group rings [MR 1817147]
• Bruce Olberding – Homomorphisms and duality for torsion-free modules [MR 1817148]
• K. C. O’Meara and C. Vinsonhaler – Generalizations of isomorphism in torsion-free abelian groups [MR 1817149]
• Phill Schultz – Automorphism groups of abelian groups [MR 1817150]

Part III. Contributed Papers

• David M. Arnold – Direct sum decompositions of torsion-free abelian groups of finite rank [MR 1817151]
• Maria Alicia Aviñó and Phill Schultz – The endomorphism ring of a bounded abelian $p$-group [MR 1817152]
• E. Blagoveshchenskaya, G. Ivanov and P. Schultz – The Baer-Kaplansky theorem for almost completely decomposable groups [MR 1817153]
• Andreas Blass and John Irwin – Maximal pure independent sets [MR 1817154]
• Dikran Dikranjan and Michael Tkachenko – Characterization of the tori via density of the solution set of linear equations [MR 1817155]
• Alexander A. Fomin – Quotient divisible mixed groups [MR 1817156]
• Laszlo Fuchs and Sang Bum Lee – Stacked bases over $h$-local Prüfer domains [MR 1817157]
• Anthony J. Giovannitti – Groups with locally defined heights and products of $\mathfrak {R}^\ast$ groups [MR 1817158]
• Rüdiger Göbel and Saharon Shelah – Reflexive subgroups of the Baer-Specker group and Martin’s axiom [MR 1817159]
• Paul Hill, Charles Megibben and William Ullery – $\Sigma$-isotype subgroups of local $k$-groups [MR 1817160]
• George Ivanov – Character modules and endomorphism rings of modules over Artinian serial rings [MR 1817161]
• Peter Loth – Topologically pure extensions [MR 1817162]
• N. R. McConnell and T. Stokes – Rings having simple adjoint semigroup [MR 1817163]
• A. Mader, L. G. Nongxa and M. A. Ould-Beddi – Invariants of global crq-groups [MR 1817164]
• Vahagn H. Mikaelian – On varieties of groups generated by wreath products of abelian groups [MR 1817165]
• Otto Mutzbauer – Existence of rigid indecomposable almost completely decomposable groups [MR 1817166]
• W. K. Nicholson and M. F. Yousif – C2-rings and the FGF-conjecture [MR 1817167]
• Barbara L. Osofsky – Lifting direct sum decompositions of bounded abelian $p$-groups [MR 1817168]
• K. M. Rangaswamy – On modules and submodules with finite projective dimension [MR 1817169]
• Lutz Strüngmann and Simone L. Wallutis – On the torsion groups in cotorsion classes [MR 1817170]
• Jan Trlifaj – Cotorsion theories induced by tilting and cotilting modules [MR 1817171]
• Jan Žemlička – Steadiness is tested by a single module [MR 1817172]