Geodesic
Completely Decomposable Quotient Divisible Abelian Groups with Isomorphic Endomorphism Semigroups
Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 224-235.

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Let $\Lambda$ be a class of Abelian groups. A group $A\in\Lambda$ is said to be determined by its endomorphism semigroup $E^\star(A)$ in the class $\Lambda$ if every isomorphism $E^\star(A)\cong E^\star(B)$, where $B\in\Lambda$, implies the isomorphism $A\cong B$. The paper describes those Abelian groups in the class $\mathscr Q\mathscr D_{\mathrm{cd}}$ of completely decomposable quotient divisible Abelian groups which are determined by their endomorphism semigroups in the class $\mathscr Q\mathscr D_{\mathrm{cd}}$.
Mots-clés : quotient divisible Abelian group
Keywords: endomorphism semigroup. 
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     author = {O. V. Ljubimtsev},
     title = {Completely {Decomposable} {Quotient} {Divisible} {Abelian} {Groups} with {Isomorphic} {Endomorphism} {Semigroups}},
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O. V. Ljubimtsev. Completely Decomposable Quotient Divisible Abelian Groups with Isomorphic Endomorphism Semigroups. Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 224-235. http://geodesic.mathdoc.fr/item/MZM_2020_108_2_a6/

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