Geodesic
Q-Divisible Modules
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 491-494

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Let R be a ring with 1 and let Q denote the maximal left quotient ring of R [6]. In a recent paper [12], Wei called a (left). R-module M divisible in case HomR (Q, N)≠0 for each nonzero factor module N of M. Modifying the terminology slightly we call such an R-module a Q-divisible R-module. As shown in [12], the class D of all Q-divisible modules is closed under factor modules, extensions, and direct sums and thus is a torsion class in the sense of Dickson [5]. 
Armendariz, Efraim P. Q-Divisible Modules. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 491-494. doi: 10.4153/CMB-1971-087-9
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     title = {Q-Divisible {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {491--494},
     year = {1971},
     volume = {14},
     number = {4},
     doi = {10.4153/CMB-1971-087-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-087-9/}
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