Let R be a commutative ring with unity, and let c ER be a fixed element. (a) Prove that the set A = {a E R / ca = 0} is an ideal in R. (b) Find such A for R = Z12 and c= 10. Is this A maximal in Z12? %3D

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A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…