Geodesic
Fully invariant subgroups of torsion free Abelian groups and their lattices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 739-751.

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In this paper a description of fully invariant subgroups and their lattice is obtained for torsion free Abelian groups belonging to some classes. In particular this description is obtained for vector groups and for $K$-direct sums of algebraically compact groups and $Q_p^*$-modules. 
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     author = {S. Ya. Grinshpon},
     title = {Fully invariant subgroups of torsion free {Abelian} groups and their lattices},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {739--751},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a6/}
}
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S. Ya. Grinshpon. Fully invariant subgroups of torsion free Abelian groups and their lattices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 739-751. http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a6/