Abelian Group Theory: Proceedings of the Conference held at the University of Hawaii, Honolulu, USA December 28, 1982 – January 4, 1983

A seminar on splitting rings for torsion free modules over dedekind domains....Pages 1-48
Realizing algebraic number fields....Pages 49-96
Pure subgroups of finite rank completely decomposable groups II....Pages 97-143
Projective and injective classes of completely decomposable groups....Pages 144-163
Extensions of Butler groups....Pages 164-170
Butler groups of infinite rank....Pages 171-189
Abelian groups cyclic over their endomorphism rings....Pages 190-203
Abelian groups which are uniserial as modules over their endomorphism rings....Pages 204-208
Endomorphism rings and A-projective torsion-free abelian groups....Pages 209-227
Type graph....Pages 228-252
On type-related properties of torsionfree abelian groups....Pages 253-267
On strongly balanced subgroups of separable torsion-free abelian groups....Pages 268-274
Set theory and structure theorems....Pages 275-284
Proper forcing and abelian groups....Pages 285-303
Methods of set theory and the abundance of separable abelian p-groups....Pages 304-319
On endomorphism rings of ω 1 -separable primary groups....Pages 320-339
Endomorphism rings of abelian groups....Pages 340-353
On the existence of very decomposable abelian groups....Pages 354-357
Sur Des Decompositions Directs Paradoxales De Groupes Abeliens Sans Torsion....Pages 358-361
On κ-products modulo μ-products....Pages 362-370
A note on subgroups of Z N ....Pages 371-374
Slenderness in abelian categories....Pages 375-383
Endomorphism rings of abelian p-groups....Pages 384-399
Endomorphism algebras of torsion modules II....Pages 400-411
On the existence of large mixed modules....Pages 412-424
Countable countably — Indecomposable abelian groups, n-decomposable for any finite n....Pages 425-435
Characterizations of quasi-splitting abelian groups....Pages 436-444
Mixed groups....Pages 445-470
Finite valuated p-groups....Pages 471-507
A basis thforem for subgroups of finite abelian groups....Pages 508-512
On the congruence of subgroups of totally projectives....Pages 513-518
Pure dense subgroups that are isomorphic to every pure subgroup supported by their socles....Pages 519-522
p ω+n -projective abelian p-groups having big direct sum of cyclic summands....Pages 523-533
Extensions of torsion complete groups....Pages 534-547
Abelian groups in which every Γ-isotype subgroup is an intersection of Γ′-isotype subgroups....Pages 548-555
Straight bases of abelian p-groups....Pages 556-561
Completions via duality....Pages 562-568
Completions of valuated abelian groups....Pages 569-581
Topologies Linéaires Minimales Sur Un Groupe Abélien....Pages 582-588
On projective dimensions of modules over valuation domains....Pages 589-598
Exterior powers and torsion-free modules over almost maximal valuation domains....Pages 599-606
On torsion-free modules of rank 2 over an almost maximal valuation domain....Pages 607-616
A generalization of a Prufer-Kaplansky theorem....Pages 617-629
Closed submodules....Pages 630-638
On torsion abelian groups like modules....Pages 639-653
On modules and radicals....Pages 654-659
Preradicals induced by homomorphisms....Pages 660-670
Singly generated socles and radicals....Pages 671-684
On a certain isomorphism....Pages 685-695
Abelian group theory and p-maps....Pages 696-710
A remark on integral duality....Pages 711-719
Augmentation terminals of finite Abelian groups....Pages 720-733
Homological transfer from finitely presented to infinite modules....Pages 734-761
Automorphisms of polynomial rings....Pages 762-771