Geodesic
Local Abelian torsion-free groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 147-152 
V. Kh. Farukshin. Local Abelian torsion-free groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 147-152. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a14/
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     title = {Local {Abelian} torsion-free groups},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a14/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A representation for $p$-local Abelian torsion-free groups of finite rank is obtained in terms of homomorphisms of $p$-adic modules of finite rank with fixed basis.

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

[2] Farukshin V. Kh., Endomorfizmy redutsirovannykh obobschënno primarnykh grupp bez krucheniya, Avtoreferat dis. $\dots$ kand. fiz.-mat. nauk, M., 1986

[3] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974; т. 2, 1977

[4] Fomin A. A., “Some mixed Abelian groups as modules over the ring of pseudo-rational numbers”, Abelian Groups and Modules, Trends in Mathematics, Birkhäuser, Basel, 1999, 87–100 | MR | Zbl

[5] Fomin A. A., “Quotient divisible mixed groups”, Abelian Groups, Rings and Modules, Contemp. Math., 273, Amer. Math. Soc., 2001, 117–128 | DOI | MR | Zbl

[6] Murley C., “The classification of certain classes of torsion free Abelian groups”, Pacific J. Math., 40 (1972), 647–665 | DOI | MR | Zbl