Geodesic
Completely Decomposable Quotient Divisible Abelian Groups with~$\mathrm{UA}$-Rings of Endomorphisms
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 125-133

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A ring $K$ is called a unique addition ring (a $\mathrm{UA}$-ring) if there exists a unique binary operation $+$ on the multiplicative semigroup $(K,\,\cdot\,)$ of $K$ such that $(K,\,\cdot\,,+)$ is a ring. We say that an abelian group is an $\operatorname{End}$-$\mathrm{UA}$-group if its endomorphism ring is a $\mathrm{UA}$-ring. We find $\operatorname{End}$-$\mathrm{UA}$-groups in the class of completely decomposable quotient divisible abelian groups.
Keywords: $\mathrm{UA}$-ring, $\operatorname{End}$-$\mathrm{UA}$-group, completely decomposable quotient divisible abelian group
Mots-clés : $p$-group, $p$-divisible group. 
@article{MZM_2015_98_1_a8,
     author = {O. V. Ljubimtsev},
     title = {Completely {Decomposable} {Quotient} {Divisible} {Abelian} {Groups} with~$\mathrm{UA}${-Rings} of {Endomorphisms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {125--133},
     publisher = {mathdoc},
     volume = {98},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a8/}
}
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O. V. Ljubimtsev. Completely Decomposable Quotient Divisible Abelian Groups with~$\mathrm{UA}$-Rings of Endomorphisms. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 125-133. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a8/