
Abstract Algebra Abstract Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 14th, 2009, 08:40 PM  #1 
Newbie Joined: Nov 2008 Posts: 25 Thanks: 0  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. Attempt Onto and both and are both onto so is onto. 11 This one doesn't seem as trivial. I am a bit confused on showing this. Thanks in advance for any hints. 

Tags 
commutative, diagram, modules 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Modules  absolute value HELP  Brunoo1601  Elementary Math  2  February 20th, 2012 08:34 AM 
Free modules .. does this solution work?  watson  Abstract Algebra  1  December 30th, 2011 06:21 AM 
Localized Modules isomorphism  Modus.Ponens  Abstract Algebra  1  October 28th, 2011 08:27 AM 
Commutative Diagram, Modules  xboxlive89128  Abstract Algebra  0  May 14th, 2009 08:28 PM 
commutative diagram, module homomorphisms  fermatprime371  Abstract Algebra  0  December 8th, 2008 06:44 PM 