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RingHi 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}. |

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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