Geodesic
Nil radical of the endomorphism ring of a~completely decomposable torsion-free abelian group
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 5-10

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Matrix ring representation of the endomorphism ring of a completely decomposable torsion-free abelian group is considered. The nil radical of such an endomorphism ring is described in terms of matrices. It is proved that the nil radical coincides with the sum of all its nilpotent ideals.
Keywords: endomorphism ring, abelian group, nil radical. 
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     author = {A. V. Budanov},
     title = {Nil radical of the endomorphism ring of a~completely decomposable torsion-free abelian group},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--10},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_1_a0/}
}
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A. V. Budanov. Nil radical of the endomorphism ring of a~completely decomposable torsion-free abelian group. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 5-10. http://geodesic.mathdoc.fr/item/VTGU_2012_1_a0/