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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 7, Pages 18–20 (Mi ivm8716)  
The Jacobson radical of the endomorphism ring of a torsion-free abelian group

V. M. Misyakov

Chair of Algebra, Tomsk State University, Tomsk, Russia
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Abstract: 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.
Received: 21.07.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 7, Pages 15–17
DOI: https://doi.org/10.3103/S1066369X1207002X
Bibliographic databases:
Document Type: Article
UDC: 512.552+512.541
Language: Russian
Citation: V. M. Misyakov, “The Jacobson radical of the endomorphism ring of a torsion-free abelian group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7, 18–20; Russian Math. (Iz. VUZ), 56:7 (2012), 15–17
Citation in format AMSBIB
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\by V.~M.~Misyakov
\paper The Jacobson radical of the endomorphism ring of a~torsion-free abelian group
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 7
\pages 18--20
\mathnet{http://mi.mathnet.ru/ivm8716}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3077458}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 7
\pages 15--17
\crossref{https://doi.org/10.3103/S1066369X1207002X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866340861}
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