FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 109-138

**Torsion Abelian RAI-groups**

Pham Thi Thu Thuy

Abstract

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A subgroup $A$ of an Abelian
group $G$ is
called its absolute ideal if $A$ is an ideal of any ring
on $G$.
An Abelian group is called an RAI-group if there exists a ring on
it in which every ideal is absolute.
The problem of describing RAI-groups was formulated by L. Fuchs
(Problem 93).
In this paper, absolute ideals of torsion Abelian groups and torsion
Abelian RAI-groups are described.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k118/k11812h.htm

Last modified: March 23, 2013