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(This problem shows the relationship between tensor-functor and Hom-functor.) Let A, B, C be left R-modules over a commutative ring R with 1. Prove that

(This problem shows the relationship between tensor-functor and Hom-functor.) Let A, B, C be left R-modules over a commutative ring R with 1. Prove that HomR(A&R B, C) HomR(A, HomR(B, C)) as R-modules

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