Ebook: Abelian Group Theory: Proceedings of the Oberwolfach Conference, January 12–17, 1981

---

Content:
Front Matter....Pages -
Reinhold Baer's work on abelian groups....Pages XV-XXI
Pure subgroups of finite rank completely decomposable groups....Pages 1-31
On special balanced supgroups of torsionfree separable abelian groups....Pages 32-40
Abelian groups finitely generated over their endomorphism rings....Pages 41-52
Relations between hom, ext, and tensor product for certain categories of modules over dedekind domains....Pages 53-61
On direct decompositions of torsion free abelian groups of rank 4....Pages 62-69
Hyper-indecomposable groups....Pages 70-75
On a paper of I.fleischer....Pages 76-86
Weak compactness and the structure of Ext(A,?)....Pages 87-92
On the p-ranks of Ext(A, G), assuming CH....Pages 93-108
A cardinal-determined projectivity condition for abelian groups and modules....Pages 109-113
?1-Separable groups of mixed type....Pages 114-126
p?-Basic subgroups of torsion free abelian groups....Pages 127-153
A new class of subgroups of П?oZ....Pages 154-160
Groups of integer-valuated functions....Pages 161-178
Iterated direct sums and products of modules....Pages 179-193
A general theory of slender groups and fuchs-44-groups....Pages 194-201
Homomorphisms between cartesian powers of an abelian group....Pages 202-227
Algebraic compactness of filter quotients....Pages 228-241
Cotorsion modules over Noetherian hereditary rings....Pages 242-250
Basic concepts of functorial topologies....Pages 251-271
Automorphism groups of locally compact abelian groups....Pages 272-282
Zur Kennzeichnung Von Elationen....Pages 283-288
Extensions of isomorphisms between subgroups....Pages 289-296
The duals of totally projective groups....Pages 297-304
Isotype subgroups of totally projective groups....Pages 305-321
Classification theory of abelian groups, II: Local theory....Pages 322-349
Valuated p-groups....Pages 350-373
Mixed local groups....Pages 374-404
Nice subgroups of valuated groups....Pages 405-416
Diagrams over ordered sets: A simple model of abelian group theory....Pages 417-430
Kawada's theorem....Pages 431-447

---

Content:
Front Matter....Pages -
Reinhold Baer's work on abelian groups....Pages XV-XXI
Pure subgroups of finite rank completely decomposable groups....Pages 1-31
On special balanced supgroups of torsionfree separable abelian groups....Pages 32-40
Abelian groups finitely generated over their endomorphism rings....Pages 41-52
Relations between hom, ext, and tensor product for certain categories of modules over dedekind domains....Pages 53-61
On direct decompositions of torsion free abelian groups of rank 4....Pages 62-69
Hyper-indecomposable groups....Pages 70-75
On a paper of I.fleischer....Pages 76-86
Weak compactness and the structure of Ext(A,?)....Pages 87-92
On the p-ranks of Ext(A, G), assuming CH....Pages 93-108
A cardinal-determined projectivity condition for abelian groups and modules....Pages 109-113
?1-Separable groups of mixed type....Pages 114-126
p?-Basic subgroups of torsion free abelian groups....Pages 127-153
A new class of subgroups of П?oZ....Pages 154-160
Groups of integer-valuated functions....Pages 161-178
Iterated direct sums and products of modules....Pages 179-193
A general theory of slender groups and fuchs-44-groups....Pages 194-201
Homomorphisms between cartesian powers of an abelian group....Pages 202-227
Algebraic compactness of filter quotients....Pages 228-241
Cotorsion modules over Noetherian hereditary rings....Pages 242-250
Basic concepts of functorial topologies....Pages 251-271
Automorphism groups of locally compact abelian groups....Pages 272-282
Zur Kennzeichnung Von Elationen....Pages 283-288
Extensions of isomorphisms between subgroups....Pages 289-296
The duals of totally projective groups....Pages 297-304
Isotype subgroups of totally projective groups....Pages 305-321
Classification theory of abelian groups, II: Local theory....Pages 322-349
Valuated p-groups....Pages 350-373
Mixed local groups....Pages 374-404
Nice subgroups of valuated groups....Pages 405-416
Diagrams over ordered sets: A simple model of abelian group theory....Pages 417-430
Kawada's theorem....Pages 431-447
....