Geodesic
Bicommutators and quotient rings
Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 429-435.

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A pseudoinjective right $R$-module m and the torsion $\mathfrak r_M$ corresponding to it are considered. Necessary and sufficient conditions for the bicommutator of the module $M$ to be the right quotient ring of the ring $R$ relative to the torsion $\mathfrak r_M$ are indicated. 
@article{MZM_1975_18_3_a11,
     author = {A. I. Kashu},
     title = {Bicommutators and quotient rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {429--435},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a11/}
}
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A. I. Kashu. Bicommutators and quotient rings. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 429-435. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a11/