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June 25th, 2015, 12:34 PM   #1
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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={f∈C[0,1] : f(1/2)=f(1/3)=0}.
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June 29th, 2015, 12:24 AM   #2
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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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