Displaying similar documents to “Completely decomposable pure subgroups of completely decomposable abelian groups”

A property of B 2 -groups

Kulumani M. Rangaswamy (1994)

Commentationes Mathematicae Universitatis Carolinae

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It is shown, under ZFC, that a B 2 -group has the interesting property of being 0 -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 B 2 -groups.