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SOLVED:The five lemma. Consider a commutative diagram of R -modules and homomorphisms such that each row is exact: Prove: (a) If f1 is surjective and f2, f4 are monomorphisms, then f3 is a monomorphism. (b) If f, is a monomorphism and f2, f4 are surjective, then f3 is surjective. [Hint: Use the snake lemma.]
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