Torsion Abelian RAI-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: | 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. |
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