A consequence of a theorem of L. Fuchs
A generalization of separable torsion-free abelian groups
A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś
A new proof of Prüfer's theorem
A note on factor-splitting Abelian groups of rank two
A note on -adic completion of torsion-free abelian groups
A note on products of infinite cyclic groups
A note on the splitting length of a finite direct sum of mixed Abelian groups of rank one
-projective resolutions and an Azumaya theorem for a class of mixed abelian groups
A property of -groups
It is shown, under ZFC, that a -group has the interesting property of being -prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on -groups.
A splitting criterion for Abelian groups
A theorem on direct products of Slender modules
Abelian Factorizations of Infinite Groups.
Algebraisch kompakte Faktorgruppen.
Algebraische Kompaktheit bei Faktorgruppen von Gruppen ganzzahliger Abbildungen.
Almost completely decomposable groups with primary cyclic regulating quotient
Almost coproducts of finite cyclic groups
A new class of -primary abelian groups that are Hausdorff in the -adic topology and that generalize direct sums of cyclic groups are studied. We call this new class of groups almost coproducts of cyclic groups. These groups are defined in terms of a modified axiom 3 system, and it is observed that such groups appear naturally. For example, is almost a coproduct of finite cyclic groups whenever is a Hausdorff -primary group and is the group of normalized units of the modular group algebra...
Almost totally projective groups
An axiomatic approach for the Hajós theorem.
An orthogonal theory of a set-valued bifunctor