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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 
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 

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ideal, principal, ring 
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