
Abstract Algebra Abstract Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 2nd, 2012, 08:44 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, 09:50 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, 01:59 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


Tags 
finitley, generated, infinite, rng, subring 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Example of a subring  bWolf  Abstract Algebra  6  December 18th, 2012 12:45 PM 
Prove a subring of a homomorphism  HairOnABiscuit  Abstract Algebra  2  October 2nd, 2012 05:58 PM 
Prove a set is a subring of the reals  HairOnABiscuit  Abstract Algebra  11  September 11th, 2012 12:37 PM 
prove that 2Z is a subring of Z  rayman  Abstract Algebra  5  February 21st, 2012 08:08 AM 
subring and fields  just17b  Abstract Algebra  1  December 12th, 2007 02:57 PM 