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March 2nd, 2012, 07:44 AM  #1 
Newbie Joined: Mar 2012 Posts: 3 Thanks: 0  Subring of an infinite finitley generated rng
Show that every infinite, finitley generated ring has an infinite subrng s.t. . I'm not sure how to go about starting to prove this, any hits or anything would be great 
March 4th, 2012, 08:50 PM  #2 
Senior Member Joined: Aug 2010 Posts: 195 Thanks: 5  Re: Subring of an infinite finitley generated rng
What are subrings of the integers? What are other infinite finitely generated rings? What are their subrings? 
March 5th, 2012, 12:59 PM  #3 
Newbie Joined: Mar 2012 Posts: 3 Thanks: 0  Re: Subring of an infinite finitley generated rng
The subrngs of the integers would be for as we don't need the identity in a rng


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finitley, generated, infinite, rng, subring 
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