Geodesic
Rings Over Which Every Simple Module is Rationally Complete
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 693-701

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

In 1958, G. D. Findlay and J. Lambek defined a relationship between three R-modules, A ≦ B(C), to mean that A ⫅ B and every R-homomorphism from A into C can be uniquely extended to an irreducible partial homomorphism from B into C. If A ≦ B(B), then B is called a rational extension of A and in [5] it is shown that every module has a maximal rational extension in its injective hull which is unique up to isomorphism. A module is called rationally complete provided it has no proper rational extension. 
Brown, S. H. Rings Over Which Every Simple Module is Rationally Complete. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 693-701. doi: 10.4153/CJM-1973-070-0
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