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Show that the set of the R-homomorphism $A\rightarrow B$ with factorization through an injective module is an subgroup of $Hom_{R}(A,B)$.

It's a question from my last test in abstract algebra, that I can't solve.

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    Gracias Mariano, gran ayuda2010-11-21

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Hint: This just follows from the fact that a direct sum of two injective modules is injective.