Geodesic
On the projective dimension of torsion-free abelian groups over the ring of its endomorphisms
Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 117-124

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Let $E$ be the ring of endomorphisms of an abelian group $G$, and let the group $G$ be given the structure of a left module over the ring $E$ in the natural way. We solve the problem of determining the projective dimension of the module. 
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     author = {M. N. Arshinov},
     title = {On the projective dimension of torsion-free abelian groups over the ring of its endomorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {117--124},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a12/}
}
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M. N. Arshinov. On the projective dimension of torsion-free abelian groups over the ring of its endomorphisms. Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 117-124. http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a12/