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xboxlive89128 May 14th, 2009 08:40 PM

Commutative Diagram of Modules
Let be a ring. The following is a commutative diagram of module homomorphisms, and the rows are exact.

Suppose that is surjective and that is an isomorphism. Prove that is an isomorphism.

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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