June 25th, 2015, 01:34 PM  #1 
Senior Member Joined: Feb 2013 Posts: 153 Thanks: 0  Ring
Hi folks, I have one problem I don't know how to solve. Find factor ring R/I and prove if ideal I is prime and/or maximal in R, if: R=C[0,1] and I={fâˆˆC[0,1] : f(1/2)=f(1/3)=0}. 
June 29th, 2015, 01:24 AM  #2 
Senior Member Joined: Feb 2012 Posts: 144 Thanks: 16 
There are two obvious ideals, let's call them I2 and I3, not equal to R and containing I, hence I is not maximal.


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