Abelian groups, rings, and modules : AGRAM 2000 Conference July 9-15, 2000, Perth, Western Australia

Abelian groups
American Mathematical Society
2001
EISBN 0821878638
Contents.
Preface.
Conference Participants.
Part I. Introduction.
László Fuchs and his "moddom" work.
Part II. Survey Articles.
Error-correcting codes as ideals in group rings.
Homomorphisms and duality for torsion-free modules.
Generalizations of isomorphism in torsion-free abelian groups.
Automorphism groups of abelian groups.
Part III. Contributed Papers.
Direct sum decompositions of torsion-free abelian groups of finite rank.
The endomorphism ring of a bounded abelian p-group.
Rings having simple adjoint semigroup.
Invariants of global crq-groups.
On varieties of groups generated by wreath products of abelian groups.
Existence of rigid indecomposable almost completely decomposable groups.
C2-rings and the FGF-conjecture.
Lifting direct sum decompositions of bounded abelian p-groups.
On modules and submodules with finite projective dimension.
On the torsion groups in cotorsion classes.
Cotorsion theories induced by tilting and cotilting modules.
Steadiness is tested by a single module.
Preface.
Conference Participants.
Part I. Introduction.
László Fuchs and his "moddom" work.
Part II. Survey Articles.
Error-correcting codes as ideals in group rings.
Homomorphisms and duality for torsion-free modules.
Generalizations of isomorphism in torsion-free abelian groups.
Automorphism groups of abelian groups.
Part III. Contributed Papers.
Direct sum decompositions of torsion-free abelian groups of finite rank.
The endomorphism ring of a bounded abelian p-group.
Rings having simple adjoint semigroup.
Invariants of global crq-groups.
On varieties of groups generated by wreath products of abelian groups.
Existence of rigid indecomposable almost completely decomposable groups.
C2-rings and the FGF-conjecture.
Lifting direct sum decompositions of bounded abelian p-groups.
On modules and submodules with finite projective dimension.
On the torsion groups in cotorsion classes.
Cotorsion theories induced by tilting and cotilting modules.
Steadiness is tested by a single module.
