My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 14th, 2009, 09:40 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.
1-1- This one doesn't seem as trivial. I am a bit confused on showing this.

Thanks in advance for any hints.
xboxlive89128 is offline  
 
Reply

  My Math Forum > College Math Forum > Abstract Algebra

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 09:34 AM
Free modules .. does this solution work? watson Abstract Algebra 1 December 30th, 2011 07:21 AM
Localized Modules isomorphism Modus.Ponens Abstract Algebra 1 October 28th, 2011 09:27 AM
Commutative Diagram, Modules xboxlive89128 Abstract Algebra 0 May 14th, 2009 09:28 PM
commutative diagram, module homomorphisms fermatprime371 Abstract Algebra 0 December 8th, 2008 07:44 PM





Copyright © 2018 My Math Forum. All rights reserved.