A characterization of countable Butler groups
A generalization of a theorem of F. Richman and C. P. Walker
A generalization of separable torsion-free abelian groups
A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś
A note on a theorem of Megibben
We prove that pure subgroups of thick Abelian -groups which are modulo countable are again thick. This generalizes a result due to Megibben (Michigan Math. J. 1966). Some related results are also established.
A note on -high subgroups of abelian groups
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 result on -groups
A simple proof for a theorem of chase
A simple proof of Baer;s and Sato's theorems on lattice-isomorphisms between groups
A simple proof is given of a well-known result of the existance of lattice-isomorphisms between locally nilpotent quaternionfree modular groups and abelian groups.
Abelian groups have/are near Frattini subgroups
The notions of nearly-maximal and near Frattini subgroups considered by J.B. Riles in [20] and the natural related notions are characterized for abelian groups.
Abelian groups in which every pure subgroup is an isotype subgroup
Abelian groups in which every -isotype subgroup is a pure subgroup, resp. an isotype subgroup
Algebraisch kompakte Faktorgruppen.
Almost Butler groups
Generalizing the notion of the almost free group we introduce almost Butler groups. An almost -group of singular cardinality is a -group. Since almost -groups have preseparative chains, the same result in regular cardinality holds under the additional hypothesis that is a -group. Some other results characterizing -groups within the classes of almost -groups and almost -groups are obtained. A theorem of stating that a group of weakly compact cardinality having a -filtration consisting...
Almost completely decomposable groups with primary cyclic regulating quotient