Torsion Abelian afi-Groups |
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Authors: | Pham Thi Thu Thuy |
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Institution: | 1. Moscow State Pedagogical University, Moscow, Russia
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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. |
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