Geodesic
Abelian groups as injective modules over endomorphism rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1365-1384.

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The conditions of injectivity of group of homomorphisms $\operatorname{Hom}(A,B)$ as a module over endomorphism ring of Abelian group $B$ or $A$ are found. 
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     author = {P. A. Krylov and E. G. Pakhomova},
     title = {Abelian groups as injective modules over endomorphism rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1365--1384},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a13/}
}
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P. A. Krylov; E. G. Pakhomova. Abelian groups as injective modules over endomorphism rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1365-1384. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a13/