Question: Exercise 5.1. For an injective R-module homomorphism f : M N, the follow- ing conditions are equivalent: (1) f (M) is a direct summand

Exercise 5.1. For an injective R-module homomorphism f : M N, the

Exercise 5.1. For an injective R-module homomorphism f : M N, the follow- ing conditions are equivalent: (1) f (M) is a direct summand of N. (2) There is an R-module homomorphism g : N M such that gf : M + M satisfies gf(v) v for all v e M.

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