Geodesic
Torsions in modules
Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 527-534

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In the category of right modules over the ring $E=\operatorname{(End}_R(F)$, where $F$ is a free right R-module, a torsion is defined. It is known as Tol'skaya torsion. The correlation between torsion-free $E$-modules in the sense of Tol'skaya and torsion-free $E$-modules in the sense of Bass is investigated. It is shown that the ring $R$ is a right cogenerator if and only if in the ring of endomorphisms of any free $R$-module, $r(l(J))$ for all finitely generated right ideals $J$. 
@article{MZM_1973_14_4_a9,
     author = {G. M. Brodskii},
     title = {Torsions in modules},
     journal = {Matemati\v{c}eskie zametki},
     pages = {527--534},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a9/}
}
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G. M. Brodskii. Torsions in modules. Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 527-534. http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a9/