Question: For any element a in a ring R, define (a) to be the smallest ideal of R that contains a. If R is a commutative

For any element a in a ring R, define (a) to be the smallest ideal of R that contains a. If R is a commutative ring with unity, show that (a) = aR = [ar lr ER}. Show, by example, that if R is commuta- tive but does not have a unity, then (a) and aR may be different

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