Geodesic
Almost completely decomposable groups and rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 3-27.

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Realization and classification theorems are obtained for a class of commutative rings with identities and almost completely decomposable additive structures. A necessary and sufficient condition for the considered rings to have isomorphic additive structures is also found. 
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E. A. Blagoveshchenskaya. Almost completely decomposable groups and rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 3-27. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a0/

[1] Dzhekobson N., Teoriya kolets, M., 1947

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

[3] Lambek I., Koltsa i moduli, Mir, M., 1971

[4] Fuks L., Beskonechnye abelevy gruppy, t. 1, 2, Mir, M., 1974, 1977

[5] Arnold D., Finite Rank Torsion Free Abelian Groups and Rings, Lect. Notes Math., 931, Springer, 1982 | MR | Zbl

[6] Blagoveshchenskaya E., “Classification of a class of almost completely decomposable groups”, Rings, Modules, Algebras, and Abelian Groups, Proc. Algebra Conf., Venezia 2002 (Venice, Italy, June 3–8, 2002), Lect. Notes Pure Appl. Math., 236, eds. A. Facchini et al., Marcel Dekker, New York, 2004, 45–54 | MR | Zbl

[7] Blagoveshchenskaya E., Ivanov G., Schultz P., “The Baer–Kaplansky theorem for almost completely decomposable groups”, Contemp. Math., 273 (2001), 85–93 | MR | Zbl

[8] Blagoveshchenskaya E., Mader A., “Decompositions of almost completely decomposable abelian groups”, Contemp. Math., 171 (1994), 21–36 | MR | Zbl

[9] Mader A., Almost Completely Decomposable Abelian Groups, Algebra, Logic and Applications, 13, Gordon and Breach, Amsterdam, 1999

[10] Schultz H., “The endomorphism ring of the additive group of a ring”, J. Austral. Math. Soc., 15 (1973), 60–69 | DOI | MR | Zbl