The Balance of Tor.
The -topology is not completable
The -topology on abelian -groups
The generalized criterion of Dieudonné for primary valuated groups
The generalized criterion of Dieudonné for valuated -groups
We prove that if is an abelian -group with a nice subgroup so that is a -group, then is a -group if and only if is a -subgroup in provided that is equipped with a valuation induced by the restricted height function on . In particular, if in addition is pure in , is a -group precisely when is a -group. This extends the classical Dieudonné criterion (Portugal. Math., 1952) as well as it supplies our recent results in (Arch. Math. Brno, 2005), (Bull. Math. Soc. Sc. Math....
The group of homomorphisms of Abelian torsion groups.
The -inductive topology on abelian -groups
Torsion groups in cortorsion classes
Treillis d'idéaux et structure d'anneaux
Two notes on radicals of Abelian groups