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Ideal Radicals Question?

Hello experts,

Given that there is a commutative ring R and 2 ideals I and J, also given that I is included in J

I need to prove 1) radical of I is in radical of J 2) radical of radical of ideal I = radical of ideal I.

Please give me a detailed answer, I need it urgently!!!!

Thanks in advance!

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Ideal Radicals Question?

Hello experts,

Given that there is a commutative ring R and 2 ideals I and J, also given that I is included in J

I need to prove 1) radical of I is in radical of J 2) radical of radical of ideal I = radical of ideal I.

Please give me a detailed answer, I need it urgently!!!!

Thanks in advance!