The Jacobson Radical of an Endomorphism Ring for an Abelian Group
Algebra i logika, Tome 43 (2004) no. 1, pp. 60-76
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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.
Keywords:
Abelian group, endomorphism ring, Jacobson radical.
@article{AL_2004_43_1_a2,
author = {P. A. Krylov},
title = {The {Jacobson} {Radical} of an {Endomorphism} {Ring} for an {Abelian} {Group}},
journal = {Algebra i logika},
pages = {60--76},
publisher = {mathdoc},
volume = {43},
number = {1},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2004_43_1_a2/}
}
P. A. Krylov. The Jacobson Radical of an Endomorphism Ring for an Abelian Group. Algebra i logika, Tome 43 (2004) no. 1, pp. 60-76. http://geodesic.mathdoc.fr/item/AL_2004_43_1_a2/