scispace - formally typeset
Search or ask a question

Showing papers on "Torsion-free abelian group published in 2000"


Journal ArticleDOI
TL;DR: For quasipure injective torsion-free Abelian groups, this article showed that any nonzero endomorphism is a monomorphism, and as a corollary it is transitive.
Abstract: In a quasipure injective torsion-free Abelian group whose pure subgroups are strongly indecomposable, any nonzero endomorphism is shown to be a monomorphism. The results of this paper together with results obtained earlier describe quasipure injective torsion-free groups. As a corollary, it is proved that any quasipure injective torsion-free group is transitive.

2 citations