The Jacobson Radical of an Endomorphism Ring for an Abelian Group

P. A. Krylov

Algebra i logika, Tome 43 (2004) no. 1, pp. 60-76.

Résumé

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.

Détail

Keywords: Abelian group, endomorphism ring, Jacobson radical.

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