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Let R be a ring. For n ≥ 0, let In = {a ∈ R |...

Let R be a ring. For n ≥ 0, let In = {a ∈ R | 5na = 0}. Show that I = ⋃ In is an ideal of R.

Please use the strategies from Chapter 14 in Joseph Gallian's "Contemporary Abstract Algebra."

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