Strictly purely correct torsion-free Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 165-183.

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In this paper, the concepts of polynomially periodic and polynomially split abelian groups are introduced and studied. These groups are considered as modules over the ring of integral polynomials. By using these concepts, a description of strictly purely correct polynomially split vector groups is obtained.
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S. K. Rososhek. Strictly purely correct torsion-free Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 165-183. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a16/

[1] Borsuk K., Teoriya retraktov, Mir, M., 1971 | MR

[2] Graev M. I., “K teorii polnykh pryamykh proizvedenii grupp”, Mat. sb., 17 (1945), 85–104

[3] Mishina A. P., “O pryamykh slagaemykh polnykh pryamykh summ abelevykh grupp bez krucheniya ranga 1”, Sib. mat. zhurn., 3 (1962), 244–249 | Zbl

[4] Rososhek S. K., “Moduli bez krucheniya nad dedekindovymi koltsami”, Mat. zametki, 16 (1974), 387–394 | Zbl

[5] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974

[6] Fuks L., Beskonechnye abelevy gruppy, T. 2, Mir, M., 1977

[7] Borsuk K., “On the topology of retracts”, Ann. Math., 48 (1947), 1082–1094 | DOI | MR | Zbl

[8] Connell I., “Some ring theoretic Schröder–Bernstein theorems”, Trans. Amer. Math. Soc., 132 (1968), 335–351 | DOI | MR | Zbl

[9] Crawley P., “Solution of Kaplansky's test problems for primary Abelian groups”, J. Algebra, 2 (1965), 413–431 | DOI | MR | Zbl

[10] Sasiada E., “Negative solution of Kaplansky's first test problem for Abelian groups”, Bull. Acad. Polon. Sci., 9 (1961), 331–334 | MR | Zbl

[11] Trnkova V., Koubek V., “The Cantor–Bernstein theorem for functors”, Comment. Math. Univ. Carolin., 14 (1973), 197–204 | MR | Zbl