Geodesic
A Module is Flat if and Only if its Character Module isInjective
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 237-243

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

The purpose of this expository note is to establish the fact mentioned inthe title. While this is not difficult and requires no new ideas, it seemsworth doing, as such a simple characterization does not appear explicitly ina recent treatise on the subject of flat modules [Bourbaki XXVII, Chapter1]. 
Lambek, J. A Module is Flat if and Only if its Character Module isInjective. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 237-243. doi: 10.4153/CMB-1964-021-9
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[1] 1. Bourbaki, N.,XXVII,Algébre Commutative, Paris 1961. Google Scholar

[2] 2. Cartan, H. and Eilenberg, S., Homological Algebra, Princeton 1956. Google Scholar

[3] 3. Northcott, D.G., An Introduction to Homological Algebra, Cambridge 1960. Google Scholar

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