Contemporary Mathematics 2001; 308 pp; softcover Volume: 273 ISBN10: 0821827510 ISBN13: 9780821827512 List Price: US$91 Member Price: US$72.80 Order Code: CONM/273
 This volume presents the proceedings from the conference on Abelian Groups, Rings, and Modules (AGRAM) held at the University of Western Australia (Perth). Included are articles based on talks given at the conference, as well as a few specially invited papers. The proceedings are dedicated to Professor László Fuchs. The book includes a tribute and a review of his work by his longtime collaborator, Professor Luigi Salce. Four surveys from leading experts follow Professor Salce's article. They present recent results from active research areas:  Error correcting codes as ideals in group rings,
 Duality in module categories,
 Automorphism groups of abelian groups, and
 Generalizations of isomorphism in torsionfree abelian groups.
In addition to these surveys, the volume contains 22 research articles in diverse areas connected with the themes of the conference. The areas discussed include abelian groups and their endomorphism rings, modules over various rings, commutative and noncommutative ring theory, varieties of groups, and topological aspects of algebra. The book offers a comprehensive source for recent research in this active area of study. Readership Graduate students and research mathematicians interested in abelian group theory and combinatorics. Table of Contents Introduction  L. Salce  László Fuchs and his "moddom" work
Survey articles  A. V. Kelarev and P. Solé  Errorcorrecting codes as ideals in group rings
 B. Olberding  Homomorphisms and duality for torsionfree modules
 K. C. O'Meara and C. Vinsonhaler  Generalizations of isomorphism in torsionfree abelian groups
 P. Schultz  Automorphism groups of abelian groups
Contributed papers  D. M. Arnold  Direct sum decompositions of torsionfree abelian groups of finite rank
 M. A. Aviñó and P. Schultz  The endomorphism ring of a bounded abelian \(p\)group
 E. Blagoveshchenskaya, G. Ivanov, and P. Schultz  The BaerKaplansky theorem for almost completely decomposable groups
 A. Blass and J. Irwin  Maximal pure independent sets
 D. Dikranjan and M. Tkachenko  Characterization of the tori via density of the solution set of linear equations
 A. A. Fomin  Quotient divisible mixed groups
 L. Fuchs and S. B. Lee  Stacked bases over hlocal Prüfer domains
 A. J. Giovannitti  Groups with locally defined heights and products of \(\mathfrak{R}^*\) groups
 R. Göbel and S. Shelah  Reflexive subgroups of the BaerSpecker group and Martin's axiom
 P. Hill, C. Megibben, and W. Ullery  \(\Sigma\)isotype subgroups of local \(k\)groups
 G. Ivanov  Character modules and endomorphism rings of modules over Artinian serial rings
 P. Loth  Topologically pure extensions
 N. R. McConnell and T. Stokes  Rings having simple adjoint semigroup
 A. Mader, L. G. Nongxa, and M. A. OuldBeddi  Invariants of global crqgroups
 V. H. Mikaelian  On varieties of groups generated by wreath products of abelian groups
 O. Mutzbauer  Existence of rigid indecomposable almost completely decomposable groups
 W. K. Nicholson and M. F. Yousif  C2rings and the FGFconjecture
 B. L. Osofsky  Lifting direct sum decompositions of bounded abelian \(p\)groups
 K. M. Rangaswamy  On modules and submodules with finite projective dimension
 L. Strüngmann and S. L. Wallutis  On the torsion groups in cotorsion classes
 J. Trlifaj  Cotorsion theories induced by tilting and cotilting modules
 J. Žemlička  Steadiness is tested by a single module
