Let R be a commutative ring and let A be any subset of R.
Chapter 14, Problem 45E(choose chapter or problem)
Let R be a commutative ring and let A be any subset of R. Show that the annihilator of \(A, \operatorname{Ann}(A)=\{r \in R \mid r a=0 \text { for all } a \text { in } A\}\), is an ideal.
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