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It is well known that the ring $C[0,1]$ of real valued continuous functions on $[0,1]$ has precisely the following maximal ideals: $$\\text{For } \\gamma \\in [0,1], M_{\\gamma} := \\lbrace f \\in C[0,1] | f(\\gamma) =0\\rbrace$$ It has been proved that each such $M_{\\gamma}$ is infinitely generated, in-fact uncountably generated. 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It is well known that the ring $C[0,1]$ of real valued continuous functions on $[0,1]$ has precisely the following maximal ideals: $$\\text{For } \\gamma \\in [0,1], M_{\\gamma} := \\lbrace f \\in C[0,1] | f(\\gamma) =0\\rbrace$$ It has been proved that each such $M_{\\gamma}$ is infinitely generated, in-fact uncountably generated. 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