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Let R be a ring and let M and N be right R-modules. Assume that the...

Let R be a ring and let M and N be right R-modules. Assume that the only R-homorphisms M → N and N → M are 0 maps. Prove that EndR(M⊕N) ∼= EndR(M) ⊕ EndR(N) (direct sum of rings). Remember the convention used for composition of R-homomorphismps.

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