This article is cited in 1 paper

Torsion Abelian afi-groups

Pham Thi Thu Thuy

Moscow State Pedagogical University

Abstract: This paper is devoted to the study of Abelian afi-groups. A subgroup $A$ of an Abelian group $G$ is called its absolute ideal if $A$ is an ideal of any ring on $G$. We will call an Abelian group an afi-group if all of its absolute ideals are fully invariant subgroups. In this paper, we will describe afi-groups in the class of fully transitive torsion groups (in particular, separable torsion groups) and divisible torsion groups.

UDC: 512.541

 English version: Journal of Mathematical Sciences (New York), 2014, 197:5, 679–683

Bibliographic databases:

•