Question: 1. Let f.A B be an R-homomorphism, show that the following are equivalent: a) Kerfis a direct summand of A and Imf is a

1. Let f.A B be an R-homomorphism, show that the following are

1. Let f.A B be an R-homomorphism, show that the following are equivalent: a) Kerfis a direct summand of A and Imf is a direct summand of B. b) There is homomorphism g: B A such that f= fgf.

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