Geodesic
Pseudorational rank of a~quotient divisible group
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 201-213.

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We study quotient divisible mixed groups. For these groups we consider the pseudorational rank, a new invariant introduced by A. A. Fomin. 
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A. V. Tsarev. Pseudorational rank of a~quotient divisible group. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 201-213. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a13/

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

[2] Tsarev A. V., “Modul psevdo-ratsionalnykh otnoshenii gruppy”, Chebyshevskii sbornik, 3:1 (2002), 120–134 | MR | Zbl

[3] Tsarev A. V., “Psevdoratsionalnyi rang abelevoi gruppy”, Sib. mat. zhurn., 46:1 (2005), 217–229 | MR | Zbl

[4] Beaumont R., Pierce R., “Torsion free rings”, Illinois J. Math., 5 (1961), 61–98 | MR | Zbl

[5] Fomin A. A., “Some mixed abelian groups as modules over the ring of pseudo-rational numbers”, Proceedings of the Dublin's Conference on Abelian Groups, 1999, 87–100 | MR | Zbl

[6] Fomin A. A., “Quotient divisible mixed groups”, Contemp. Math., 273 (2001), 117–128 | MR | Zbl

[7] Fomin A. A., Wickless W., “Quotient divisible abelian groups”, Proc. Amer. Math. Soc., 126 (1998), 45–52 | DOI | MR | Zbl

[8] Glaz S., Wickless W., “Regular and principal projective endomorphism rings of mixed abelian groups”, Comm. Algebra, 22 (1994), 1553–1565 | DOI | MR