Abelian Groups, Rings and Modules: AGRAM 2000 Conference (Contemporary Mathematics)

Abelian Groups, Rings and Modules: AGRAM 2000 Conference (Contemporary Mathematics)


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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 Laszlo Fuchs. The book includes a tribute and a review of his work by his long-time 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 torsion-free 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 non-commutative 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.


Introduction: Laszlo Fuchs and his "moddom" work by L. Salce Survey articles: Error-correcting codes as ideals in group rings by A. V. Kelarev and P. Sole Homomorphisms and duality for torsion-free modules by B. Olberding Generalizations of isomorphism in torsion-free abelian groups by K. C. O'Meara and C. Vinsonhaler Automorphism groups of abelian groups by P. Schultz Contributed papers: Direct sum decompositions of torsion-free abelian groups of finite rank by D. M. Arnold The endomorphism ring of a bounded abelian $p$-group by M. A. Avino and P. Schultz The Baer-Kaplansky theorem for almost completely decomposable groups by E. Blagoveshchenskaya, G. Ivanov, and P. Schultz Maximal pure independent sets by A. Blass and J. Irwin Characterization of the tori via density of the solution set of linear equations by D. Dikranjan and M. Tkachenko Quotient divisible mixed groups by A. A. Fomin Stacked bases over h-local Prufer domains by L. Fuchs and S. B. Lee Groups with locally defined heights and products of $\mathfrak{R}^*$ groups by A. J. Giovannitti Reflexive subgroups of the Baer-Specker group and Martin's axiom by R. Gobel and S. Shelah $\Sigma$-isotype subgroups of local $k$-groups by P. Hill, C. Megibben, and W. Ullery Character modules and endomorphism rings of modules over Artinian serial rings by G. Ivanov Topologically pure extensions by P. Loth Rings having simple adjoint semigroup by N. R. McConnell and T. Stokes Invariants of global crq-groups by A. Mader, L. G. Nongxa, and M. A. Ould-Beddi On varieties of groups generated by wreath products of abelian groups by V. H. Mikaelian Existence of rigid indecomposable almost completely decomposable groups by O. Mutzbauer C2-rings and the FGF-conjecture by W. K. Nicholson and M. F. Yousif Lifting direct sum decompositions of bounded abelian $p$-groups by B. L. Osofsky On modules and submodules with finite projective dimension by K. M. Rangaswamy On the torsion groups in cotorsion classes by L. Strungmann and S. L. Wallutis Cotorsion theories induced by tilting and cotilting modules by J. Trlifaj Steadiness is tested by a single module by J. Zemlicka.

Product Details

  • ISBN13: 9780821827512
  • Format: Paperback
  • Number Of Pages: 308
  • ID: 9780821827512
  • ISBN10: 0821827510

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