Geodesic
Algebraically compact abelian $TI$-groups
Čebyševskij sbornik, Tome 20 (2019) no. 1, pp. 204-213.

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An abelian group $G$ is called a $TI$-group if every associative ring with additive group $G$ is filial. An abelian group $G$ such that every (associative) ring with additive group $G$ is an $SI$-ring (a hamiltonian ring) is called an $SI$-group (an $SI_H$-group). In this paper, $TI$-groups, as well as $SI$-groups and $SI_H$-groups are described in the class of reduced algebraically compact abelian groups.
Keywords: abelian group, ring on a group, algebraically compact group, filial ring, $TI$-group. 
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E. I. Kompantseva; T. K. T. Nguyen. Algebraically compact abelian $TI$-groups. Čebyševskij sbornik, Tome 20 (2019) no. 1, pp. 204-213. http://geodesic.mathdoc.fr/item/CHEB_2019_20_1_a11/

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