E. I. Kompantseva, “Rings on Abelian <nobr>$\mathrm{MT}$</nobr>-groups”, Fundam. Prikl. Mat., 2023, Volume 24, Issue 3,Pages <nobr>119

Rings on Abelian $\mathrm{MT}$-groups

E. I. Kompantseva^ab

^a Financial University under the Government of the Russian Federation, Moscow, Russia
^b Moscow Pedagogical State University, Moscow, Russia

Abstract: 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).

UDC: 512.541