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A Note on Injective Modules Over a d.g. Near-Ring
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1977
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