A Hajós-type result on factoring finite Abelian groups by subsets.
A homological algebra for valuated groups
A Multiplication Theorem for Strong Starters.
A Multiplication Theorem for Strong Starters. (Short Communication).
A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś
A new proof of Prüfer's theorem
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 clean abelian groups
A note on coflat abelian groups
A note on completely decomposable torsion free abelian groups
A note on factor-splitting Abelian groups of rank two
A note on free abelian groups
A note on group algebras of -primary abelian groups
Suppose is a prime number and is a commutative ring with unity of characteristic 0 in which is not a unit. Assume that and are -primary abelian groups such that the respective group algebras and are -isomorphic. Under certain restrictions on the ideal structure of , it is shown that and are isomorphic.
A note on -high subgroups of abelian groups
A note on isomorphic commutative group algebras over certain rings.
A note on mixed abelian groups
A note on -adic completion of torsion-free abelian groups
A note on products of infinite cyclic groups
A note on quasi-splitting of abelian groups
A note on the countable extensions of separable -projective abelian -groups
It is proved that if is a pure -projective subgroup of the separable abelian -group for such that , then is -projective as well. This generalizes results due to Irwin-Snabb-Cutler (CommentṀathU̇nivṠtṖauli, 1986) and the author (Arch. Math. (Brno), 2005).