Quasipure injective torsion-free groups with indecomposable pure subgroups

被引：1

作者：

Chekhlov, AR ^{[1
]}

机构：

[1] Tomsk State Univ, Tomsk 634050, Russia

来源：

MATHEMATICAL NOTES | 2000年 / 68卷 / 3-4期

关键词：

torsion-free Abelian group; quasipure injective group; pure subgroup; transitive group;

D O I：

10.1007/BF02676731

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：502 / 506

页数：5