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JdotAckdot
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If you can help, that would be great.
Let R be a commutative ring, and A,B,M be R-modules. Prove:
a) HomR(A x B, M) is isomorphic to HomR(A, M) x HomR(B, M)
b) HomR(M, A x B) is isomorphic to HomR(M, A) x HomR(M, B)
Let R be a commutative ring, and A,B,M be R-modules. Prove:
a) HomR(A x B, M) is isomorphic to HomR(A, M) x HomR(B, M)
b) HomR(M, A x B) is isomorphic to HomR(M, A) x HomR(M, B)