Geodesic
A Generalization of Divisibility and Injectivity in Modules
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 505-513

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

Classically, there has been, for obvious reasons, an intimate relation between the concepts "rings of quotients" and "divisible modules". Recently, however, their generalizations have appeared to diverge.For example, Hattori ([9]) and Levy ([15]) have generalized the concept of "divisibility" as follows: Hattori (respectively Levy) defines a left R-module M over a ring R to be divisible if and only if Ext1 R(R/I, M)=0 for every principal left ideal I ⊂ R (respectively, every principal left ideal I ⊂ R which is generated by a regular element of R). 
Sanderson, D. F. A Generalization of Divisibility and Injectivity in Modules. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 505-513. doi: 10.4153/CMB-1965-037-4
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