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.
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Translated fromMatematicheskie Zametki, Vol. 68, No. 4, pp. 587–592, October, 2000.
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Chekhlov, A.R. Quasipure injective torsion-free groups with indecomposable pure subgroups. Math Notes 68, 502–506 (2000). https://doi.org/10.1007/BF02676731
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DOI: https://doi.org/10.1007/BF02676731