Geodesic
On a~class of quotient divisible Abelian groups with isomorphic endomorphism semigroups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 121-130

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Let $\Lambda$ be some class of Abelian groups. We say that a group $A\in\Lambda $ is determined by its endomorphism semigroup $E^\star(A)$ in $\Lambda $ if the isomorphism $E^\star(A)\cong E^\star(B)$, where $B\in\Lambda$, implies $A\cong B$. We describe split Abelian groups in the class $\mathcal{QD}_{\mathrm{cd}}$ of completely decomposable quotient divisible Abelian groups determined by their endomorphism semigroups in the class $\mathcal{QD}_{\mathrm{cd}}$. 
@article{FPM_2019_22_5_a11,
     author = {O. V. Lyubimtsev},
     title = {On a~class of quotient divisible {Abelian} groups with isomorphic endomorphism semigroups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {121--130},
     publisher = {mathdoc},
     volume = {22},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a11/}
}
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O. V. Lyubimtsev. On a~class of quotient divisible Abelian groups with isomorphic endomorphism semigroups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 121-130. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a11/