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- - **Commutative Diagram of Modules**
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Commutative Diagram of ModulesLet be a ring. The following is a commutative diagram of module homomorphisms, and the rows are exact. http://i719.photobucket.com/albums/w...nghu21/2-1.png Suppose that is surjective and that is an isomorphism. Prove that is an isomorphism. Attempt Onto- and both and are both onto so is onto. 1-1- This one doesn't seem as trivial. I am a bit confused on showing this. Thanks in advance for any hints. |

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