Question: Given a ring (R, +, )> an element r R is called idempo- tent when r2 = r. lf n Z+ with n

Given a ring (R, +, •)> an element r ∈ R is called idempo- tent when r2 = r. lf n ∈ Z+ with n > 2, prove that if k ∈ Zn and k is idempotent, then n - k + 1 is idempotent.

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