This article is cited in 9 papers

MATHEMATICS

On abelian groups, in which all subgroups are ideals

A. R. Chekhlov

Tomsk State University

Abstract: The abelian groups, in which all subgroups are ideals in each of ring, given on group, are described. The conditions on types of direct summands of rank 1 of torsion free separable and vector groups, under which these groups are nil groups, are found.

Keywords: addition groups of the rings, nil groups.

UDC: 512.541


Accepted: April 9, 2009