Geodesic
On torsion-free Abelian groups with $UA$-rings of endomorphisms
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 55-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study almost completely decomposable and strongly indecomposable torsion-free rank 2 Abelian groups the endomorphism ring of which is a unique addition ring.
Keywords: unique addition ring, almost completely decomposable Abelian group, strongly indecomposable torsion-free Abelian group. 
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     title = {On torsion-free {Abelian} groups with $UA$-rings of endomorphisms},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
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D. S. Chistyakov; O. V. Lyubimcev. On torsion-free Abelian groups with $UA$-rings of endomorphisms. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 55-58. http://geodesic.mathdoc.fr/item/VTGU_2011_2_a6/

[1] Nelius Chr.-F., Ring emit eindentiger Addition, Paderborn, 1974

[2] Stephenson W., “Unique addition rings”, Can. J. Math., 21:6 (1969), 1455–1461 | DOI | MR | Zbl

[3] Mikhalev A. V., “Multiplikativnaya klassifikatsiya assotsiativnykh kolets”, Mat. sb., 135(177):2 (1988), 210–224 | MR | Zbl

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

[5] Arnold D. M., “Finite rank torsion – free abelian groups and rings”, Lecture Notes in Math., 931, 1982, 1–191 | DOI | MR

[6] B. van der Merwe, “Unique addition modules”, Communications in algebra, 27:9 (1999), 4103–4115 | DOI | MR | Zbl