The Jacobson radical of the endomorphism ring of a~torsion-free abelian group
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 18-20
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We study the action of elements of the Jacobson radical of the endomorphism ring of a torsion-free abelian group on the group itself. We describe the Jacobson radical of the endomorphism ring of some classes of torsion-free groups.
Keywords:
abelian group, endomorphism ring, Jacobson radical.
@article{IVM_2012_7_a1,
author = {V. M. Misyakov},
title = {The {Jacobson} radical of the endomorphism ring of a~torsion-free abelian group},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {18--20},
publisher = {mathdoc},
number = {7},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2012_7_a1/}
}
V. M. Misyakov. The Jacobson radical of the endomorphism ring of a~torsion-free abelian group. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 18-20. http://geodesic.mathdoc.fr/item/IVM_2012_7_a1/