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limes5 June 25th, 2015 12:34 PM

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}.

mehoul June 29th, 2015 12:24 AM

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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