FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 139-145

**Torsion Abelian afi-groups**

Pham Thi Thu Thuy

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k118/k11813h.htm

Last modified: March 23, 2013