Geodesic
Endomorphic indecomposable torsion-free Abelian groups of rank 3
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 61-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, the structure of the quasi-endomorphism ring of endomorphic torsion-free Abelian groups of rank three is studied.
Keywords: quasi-endomorphism ring, homogeneous map of a module, strongly indecomposable torsion-free Abelian group. 
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     author = {D. S. Chistyakov},
     title = {Endomorphic indecomposable torsion-free {Abelian} groups of rank~3},
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D. S. Chistyakov. Endomorphic indecomposable torsion-free Abelian groups of rank 3. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 61-66. http://geodesic.mathdoc.fr/item/VTGU_2011_1_a7/

[1] Hausen J., Johnson J. A., “Centralizer near-rings that are rings”, J. Austr. Math. Soc., 59 (1995), 173–183 | DOI | MR | Zbl

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

[3] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974

[4] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977

[5] Krylov P. A., Chekhlov A. R., “Abelevy gruppy bez krucheniya s bolshim chislom endomorfizmov”, Trudy Instituta matematiki i mekhaniki, 7, no. 2, 2001, 194–207 | MR | Zbl

[6] Cherednikova A. V., “Koltsa kvaziendomorfizmov silno nerazlozhimykh abelevykh grupp bez krucheniya ranga 3”, Matem. zametki, 63:5 (1998), 763–773 | DOI | MR | Zbl

[7] Turmanov M. A., “Endochistye podmoduli abelevykh grupp bez krucheniya ranga 2”, Abelevy gruppy i moduli, 9, TGU, Tomsk, 1990, 119–124 | MR

[8] Turmanov M. A., “O chistote v abelevykh gruppakh”, Fundament. i prikl. matematika, 10:2 (2004), 225–238 | MR | Zbl

[9] Cherednikova A. V., Koltsa kvaziendomorfizmov abelevykh grupp bez krucheniya ranga 3, dis. $\dots$ k. f.-m. n., MPGU, M., 1999