Abstract
The Jacobson radical of an endomorphism ring is computed for a completely decomposable torsion-free Abelian group and for a mixed Abelian group in one class of mixed groups. For the latter case, we also look into the question when a factor ring w.r.t. the radical is regular in the sense of Nuemann.
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Krylov, P.A. The Jacobson Radical of an Endomorphism Ring for an Abelian Group. Algebra and Logic 43, 34–43 (2004). https://doi.org/10.1023/B:ALLO.0000015129.15394.33
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DOI: https://doi.org/10.1023/B:ALLO.0000015129.15394.33