Question: If f: R S is a ring homomorphism and J is an ideal of 5, prove that f-l(J) = [a R|f(a) J}

If f: R → S is a ring homomorphism and J is an ideal of 5, prove that f-l(J) = [a ∈ R|f(a) ∈ J} is an ideal of R.

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Since J 0 f 1 J 0 If a 1 a 2 f 1 J then fa 1 fa 3 Since J is an ideal fa 1 fa 2 fa 1 a 2 f a 1 a ... View full answer

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