A Note on Injective Modules Over a d.g. Near-Ring
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 267-269
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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
@article{10_4153_CMB_1977_041_2,
author = {Oswald, A.},
title = {A {Note} on {Injective} {Modules} {Over} a d.g. {Near-Ring}},
journal = {Canadian mathematical bulletin},
pages = {267--269},
year = {1977},
volume = {20},
number = {2},
doi = {10.4153/CMB-1977-041-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-041-2/}
}
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