- **Abstract Algebra**
(*http://mymathforum.com/abstract-algebra/*)

- - **Commutative Diagram of Modules**
(*http://mymathforum.com/abstract-algebra/7057-commutative-diagram-modules.html*)

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. |

All times are GMT -8. The time now is 10:06 AM. |

Copyright © 2019 My Math Forum. All rights reserved.