Geodesic
A Note on Injective Modules Over a d.g. Near-Ring
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 267-269

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

In [3] an attempt was made at proving the following result:(A) An N-module M over a d.g. near-ring is injective if and only if for each right ideal u of N and each N-homomorphism f:u→M there exists an element mεM with f(a) = ma for all aεu.In this note we present two examples. The first is a counterexample to (A) and the second illustrates one point at which the attempt made in [3] fails. 
Oswald, A. A Note on Injective Modules Over a d.g. Near-Ring. Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 267-269. doi: 10.4153/CMB-1977-041-2
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[1] 1. Fröhlich, A., Distributively Generated near-rings (II Representation Theory) Proc. L.M.S. (3) (8) (1958), 95-108. Google Scholar

[2] 2. Jans, J. P., Rings and Homology, Holt, Rinehart and Winston, 1964. Google Scholar

[3] 3. Seth, V. and Tewari, K., On infective near-ring modules, Canad. Math. Bull. Vol. 17 (1974), 137-141. Google Scholar

[4] 4. Scott, W. R., Group Theory, Englewood Cliffs N.J.: Prentice-Hall, 1964. Google Scholar

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