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Abelian groups, rings, and modules : [electronic resource] AGRAM 2000 Conference July 9-15, 2000, Perth, Western Australia / A.V. Kelarev ... [et. al.], editors.

By: AGRAM Conference (2000 : Perth, W.A.)Contributor(s): Kelarev, A. V. (Andrei V.)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 273.Publication details: Providence, R.I. : American Mathematical Society, c2001Description: 1 online resource (xi, 308 p.)ISBN: 9780821878637 (online)Subject(s): Abelian groups -- CongressesAdditional physical formats: Abelian groups, rings, and modules :DDC classification: 512/.2 LOC classification: QA251.3 | .A35 2000Online resources: Contents | Contents

Contents:

L�aszl�o Fuchs and his "moddom" work / Luigi Salce -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04418 Error-correcting codes as ideals in group rings / A. V. Kelarev and P. Sol�e -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04419 Homomorphisms and duality for torsion-free modules / Bruce Olberding -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04420 Generalizations of isomorphism in torsion-free abelian groups / K. C. O'Meara and C. Vinsonhaler -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04422 Automorphism groups of abelian groups / Phill Schultz -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04421 Direct sum decompositions of torsion-free abelian groups of finite rank / David M. Arnold -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04423 The endomorphism ring of a bounded abelian $p$-group / Maria Alicia Avi�n�o and Phill Schultz -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04424 The Baer-Kaplansky theorem for almost completely decomposable groups / E. Blagoveshchenskaya, G. Ivanov and P. Schultz -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04425 Maximal pure independent sets / Andreas Blass and John Irwin -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04426 Characterization of the tori via density of the solution set of linear equations / Dikran Dikranjan and Michael Tkachenko -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04427 Quotient divisible mixed groups / Alexander A. Fomin -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04428 Stacked bases over $h$-local Pr�ufer domains / Laszlo Fuchs and Sang Bum Lee -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04429 Groups with locally defined heights and products of $\mathfrak {R}^\ast $ groups / Anthony J. Giovannitti -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04430 Reflexive subgroups of the Baer-Specker group and Martin's axiom / R�udiger G�obel and Saharon Shelah -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04431 $\Sigma $-isotype subgroups of local $k$-groups / Paul Hill, Charles Megibben and William Ullery -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04432 Character modules and endomorphism rings of modules over Artinian serial rings / George Ivanov -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04433 Topologically pure extensions / Peter Loth -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04434 Rings having simple adjoint semigroup / N. R. McConnell and T. Stokes -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04436 Invariants of global crq-groups / A. Mader, L. G. Nongxa and M. A. Ould-Beddi -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04435 On varieties of groups generated by wreath products of abelian groups / Vahagn H. Mikaelian -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04437 Existence of rigid indecomposable almost completely decomposable groups / Otto Mutzbauer -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04438 C2-rings and the FGF-conjecture / W. K. Nicholson and M. F. Yousif -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04439 Lifting direct sum decompositions of bounded abelian $p$-groups / Barbara L. Osofsky -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04440 On modules and submodules with finite projective dimension / K. M. Rangaswamy -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04441 On the torsion groups in cotorsion classes / Lutz Str�ungmann and Simone L. Wallutis -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04442 Cotorsion theories induced by tilting and cotilting modules / Jan Trlifaj -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04443 Steadiness is tested by a single module / Jan �Zemli�cka -- http://www.ams.org/conm/273/ http://dx.doi.org/10.1090/conm/273/04444

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Includes bibliographical references.

L�aszl�o Fuchs and his "moddom" work / Luigi Salce -- Error-correcting codes as ideals in group rings / A. V. Kelarev and P. Sol�e -- Homomorphisms and duality for torsion-free modules / Bruce Olberding -- Generalizations of isomorphism in torsion-free abelian groups / K. C. O'Meara and C. Vinsonhaler -- Automorphism groups of abelian groups / Phill Schultz -- Direct sum decompositions of torsion-free abelian groups of finite rank / David M. Arnold -- The endomorphism ring of a bounded abelian $p$-group / Maria Alicia Avi�n�o and Phill Schultz -- The Baer-Kaplansky theorem for almost completely decomposable groups / E. Blagoveshchenskaya, G. Ivanov and P. Schultz -- Maximal pure independent sets / Andreas Blass and John Irwin -- Characterization of the tori via density of the solution set of linear equations / Dikran Dikranjan and Michael Tkachenko -- Quotient divisible mixed groups / Alexander A. Fomin -- Stacked bases over $h$-local Pr�ufer domains / Laszlo Fuchs and Sang Bum Lee -- Groups with locally defined heights and products of $\mathfrak {R}^\ast $ groups / Anthony J. Giovannitti -- Reflexive subgroups of the Baer-Specker group and Martin's axiom / R�udiger G�obel and Saharon Shelah -- $\Sigma $-isotype subgroups of local $k$-groups / Paul Hill, Charles Megibben and William Ullery -- Character modules and endomorphism rings of modules over Artinian serial rings / George Ivanov -- Topologically pure extensions / Peter Loth -- Rings having simple adjoint semigroup / N. R. McConnell and T. Stokes -- Invariants of global crq-groups / A. Mader, L. G. Nongxa and M. A. Ould-Beddi -- On varieties of groups generated by wreath products of abelian groups / Vahagn H. Mikaelian -- Existence of rigid indecomposable almost completely decomposable groups / Otto Mutzbauer -- C2-rings and the FGF-conjecture / W. K. Nicholson and M. F. Yousif -- Lifting direct sum decompositions of bounded abelian $p$-groups / Barbara L. Osofsky -- On modules and submodules with finite projective dimension / K. M. Rangaswamy -- On the torsion groups in cotorsion classes / Lutz Str�ungmann and Simone L. Wallutis -- Cotorsion theories induced by tilting and cotilting modules / Jan Trlifaj -- Steadiness is tested by a single module / Jan �Zemli�cka --