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May 14th, 2009, 09:28 PM  #1 
Newbie Joined: Nov 2008 Posts: 25 Thanks: 0  Commutative Diagram, Modules
Suppose is a commutative diagram of modules over some ring . Suppose the rows are exact and and are bijective. Prove is bijective. Attempt: I know the snake lemma and five lemma. This looks more like a diagram chasing question. In the five lemma and snake lemma I can use the commutativity of the diagram, but here, is on the left, so I don't know how to use the commutativity of the diagram. Any hints for showing this would be nice. Thanks. 

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commutative, diagram, modules 
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