20160408, 05:21  #1 
Jul 2014
3×149 Posts 
Integral domain such that.....
Hi,
Let R be an integral domain in which every nonzero nonunit element has a factorisation into irreducible elements. Can someone give me a concrete example of such a Ring? 
20160408, 08:00  #2  
Dec 2012
The Netherlands
3·5·97 Posts 
Quote:
2,2,3,3,5,5,7,7,11,11,13,13,17,17,... i.e. the prime numbers together with their corresponding negative numbers. As every integer greater than 1 can be written as a product of prime numbers and every integer less than 1 too when we involve the negative versions, it follows that this is an example. The set of all real numbers is also an example, but a less interesting one, since every element except 0 is a unit! Last fiddled with by Nick on 20160408 at 08:01 Reason: Typo 

20160408, 08:21  #3 
Jul 2014
447_{10} Posts 
Big thanks.

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