A generalization of the full transitivity property for torsion-free Abelian groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 52-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we study homogeneous mappings of torsion-free Abelian groups of finite rank; in particular, the notion of full transitivity is generalized.
Keywords: fully transitive torsion-free Abelian group, homogeneous mapping, pfi-subgroup
Mots-clés : pseudosocle.
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     author = {D. S. Chistyakov},
     title = {A generalization of the full transitivity property for torsion-free {Abelian} groups},
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     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_2_a5/}
}
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D. S. Chistyakov. A generalization of the full transitivity property for torsion-free Abelian groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 52-55. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a5/

[1] Hausen J., Johnson J. A., “Centralizer near-rings that are rings”, J. Austr. Math. Soc., 59 (1995), 173–183 | DOI | MR | Zbl

[2] Pilz G., Near-rings: the theory and its applications, North Holland Publ., 1983 | MR | Zbl

[3] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial press, M., 2006

[4] Chistyakov D. S., Lyubimtsev O. V., “Abelevy gruppy kak endomorfnye moduli nad svoim koltsom endomorfizmov”, Fundament. i prikl. matem., 13:1 (2007), 229–233 | MR | Zbl

[5] Grinshpon S. Ya., Krylov P. A., “Fully invariant subgroups, full transitivity and homomorphism groups of Abelian groups”, J. Math. Sciences, 128:3 (2005), 2894–2997 | DOI | MR | Zbl

[6] Chekhlov A. R., “E-engelevy abelevy gruppy stupeni $\le2$”, Vestnik TGU. Matematika i mekhanika, 2012, no. 1(17), 54–60 | MR