Torsion Abelian afi-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 139-145
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.
@article{FPM_2012_17_8_a13,
author = {Pham Thi Thu Thuy},
title = {Torsion {Abelian} afi-groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {139--145},
year = {2012},
volume = {17},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a13/}
}
Pham Thi Thu Thuy. Torsion Abelian afi-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 139-145. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a13/
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