5.Let R be a commutative ring and a any element in R. Define the annhilator of a to be the set ann(a) = {r ∈ R | ra = 0}(that is, the set of all elements that multiply ato zero). Prove that ann(a)is an ideal of R.

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#5.Let R be a commutative ring and a any element in R. Define the annhilator of a to be the set ann(a) = {r ∈ R | ra = 0}(that is, the set of all elements that multiply ato zero). Prove that ann(a)is an ideal of R.
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