Let R be a commutative ring and N an ideal of R Show that the set N of all a R, such that a n N for some n Z , is an ideal of R, the radical of N

Question: Let R be a commutative ring and N an ideal of R. Show that the set N of all a R, such that a

Let R be a commutative ring and N an ideal of R. Show that the set √N of all a ∈ R, such that aⁿ ∈ N for some n ∈ Z⁺, is an ideal of R, the radical of N.

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