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 11th, 2011, 02:44 PM   #1
Newbie
 
Joined: Apr 2011

Posts: 2
Thanks: 0

Principal ideal ring

Let R --> S be an isomorphic. Prove that if we let R be a principal ideal ring it follows that S is a principal ideal ring too.
I'm having trouble making a proof to this statement
gopolr is offline  
 
May 11th, 2011, 05:27 PM   #2
Senior Member
 
Joined: Jun 2010

Posts: 618
Thanks: 0

Re: Principal ideal ring

gopolr,

What part of the proof is troublesome? Your isomorphism is an isomorphism of rings, is it not? What more could you desire? Post your trouble spot, and let's see if it can't be easily resolved.

-Ormkärr-
 is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
ideal, principal, ring



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
maximal ideal of the ring Q -trivial question?? rayman Abstract Algebra 2 November 21st, 2012 03:16 AM
Rings: Principal Ideal domain sarah89 Abstract Algebra 1 March 8th, 2010 08:57 AM
Non-principal ideal in polynomial ring lime Abstract Algebra 0 October 3rd, 2009 12:18 PM
Ideal of non-commutative ring lime Abstract Algebra 5 February 18th, 2009 09:48 AM
Ring and pseudo-ring cgouttebroze Abstract Algebra 5 August 14th, 2008 12:04 PM





Copyright © 2019 My Math Forum. All rights reserved.