On the Jacobson radical of the endomorphism ring of a torsion abelian groups
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 94-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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Action of elements of the Jacobson radical of the endomorphism ring of an abelian torsion group on the group itself is investigated.
Keywords: abelian group; endomorphism ring; Jacobson radical.
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V. M. Misyakov. On the Jacobson radical of the endomorphism ring of a torsion abelian groups. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 94-100. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a9/

[1] P. A. Krylov, A. V. Mikhalev, A. A. Tuganbaev, Svyazi abelevykh grupp i ikh kolets endomorfizmov, TGU, Tomsk, 2002, 464 pp.

[2] L. Fuks, Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974, 336 pp.

[3] L. Fuks, Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977, 415 pp.

[4] F. W. Anderson, K. R. Fuller, Rings and categories of modules, Springer-Verlag, N.Y., 1992, 380 pp. | MR

[5] J. Hausen, “The Jacobson radical of some endomorphism rings”, Lecture Notes in Math., 616, 1977, 332–336 | DOI | MR | Zbl

[6] J. Hausen, J. A. Johnson, “Ideals and radicals of some endomorphism rings”, Pacific J. Math., 74:2 (1978), 365–372 | DOI | MR | Zbl

[7] J. Hausen, J. A. Johnson, “Determining Abelian $p$-groups by the Jacobson radical of their endomorphism rings”, J. Algebra, 174 (1995), 217–224 | DOI | MR | Zbl

[8] F. Haimo, “Endomorphism radicals which characterize some divisible groups”, Ann. Unev. Sci. Budapest. Eotvos Sect. Math., 10 (1967), 25–29 | MR | Zbl

[9] W. Liebert, “The Jacobson radical of some endomorphism rings”, J. Reine Angew. Math., 262/263 (1973), 166–170 | MR | Zbl

[10] R. S. Pierce, “Homomorphisms of primary Abelian groups”, Topics in Abelian groups (New Mexico State Univ., 1962), Scott. Foresman, Chicago, IL, 1963, 215–310 | MR