This article is cited in 5 papers

On Weakly Quasipure Injective Groups

A. R. Chekhlov

Tomsk State University

Abstract: An Abelian group is said to be weakly quasipure injective if every endomorphism of any pure subgroup of the group can be extended to an endomorphism of the group by itself. A description of the weakly quasipure injective groups in some classes of groups is obtained.

Keywords: pure subgroup, quasipure injective group, weakly quasipure injective group, torsion-free group, (almost) completely decomposable subgroup.

UDC: 512.541

Received: 26.12.2002
Revised: 18.10.2006

DOI: 10.4213/mzm3685

 English version: Mathematical Notes, 2007, 81:3, 379–391

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