Geodesic
Rings on Abelian $\mathrm{MT}$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 24 (2023) no. 3, pp. 119-128.

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Rings on $\mathrm{MT}$-groups are investigated, a mixed Abelian group $G$ is called an $\mathrm{MT}$-group if every multiplication on the torsion part of $G$ uniquely extends to a multiplication on $G$. The absolute Jacobson radical and the absolute nil-radical of $\mathrm{MT}$-groups are described (Problem 94 in the book Infinite Abelian Groups by L. Fuchs). 
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E. I. Kompantseva. Rings on Abelian $\mathrm{MT}$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 24 (2023) no. 3, pp. 119-128. http://geodesic.mathdoc.fr/item/FPM_2023_24_3_a5/

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