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

Voir la notice de l'article provenant de la source Cambridge University Press

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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