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Post Closed as "Not suitable for this site" by Stefan Kohl♦, user1688, abx, Daniel Moskovich, Franz Lemmermeyer
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edit approved Apr 3, 2016 at 8:51
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edit approved Apr 3, 2016 at 8:51
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Let R$R$ be a commutative Noetherian ring with non-zero identity, M$M$ be an R$R$-module and E$E$ be an injective R$R$-module. When Hom(M,E)$Hom(M,E)$ is injective? 
Thanks.

Let R be a commutative Noetherian ring with non-zero identity, M be an R-module and E be an injective R-module. When Hom(M,E) is injective? Thanks.

Let $R$ be a commutative Noetherian ring with non-zero identity, $M$ be an $R$-module and $E$ be an injective $R$-module. When $Hom(M,E)$ is injective? 
Thanks.

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When Hom(M,E) is injective?

Let R be a commutative Noetherian ring with non-zero identity, M be an R-module and E be an injective R-module. When Hom(M,E) is injective? Thanks.