Geodesic
Radicals of endomorphism rings of torsion-free Abelian groups
Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 209-222

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This paper deals with questions related to the nil radical and the Jacobson radical of the endomorphism rings of torsion-free Abelian groups. The most complete results are obtained for groups of finite rank. A characterization is given for the Jacobson radical of the endomorphism ring of a torsion-free Abelian group of finite rank. The question of when the Jacobson radical of the endomorphism ring of a torsion-free Abelian group of finite rank is nilpotent (equal to zero) is completely settled. Bibliography: 7 titles. 
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     author = {P. A. Krylov},
     title = {Radicals of endomorphism rings of torsion-free {Abelian} groups},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_1974_24_2_a1/}
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P. A. Krylov. Radicals of endomorphism rings of torsion-free Abelian groups. Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 209-222. http://geodesic.mathdoc.fr/item/SM_1974_24_2_a1/