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Let R and S be a rings and let f: R S be a ring surjective (onto) homomorphism. Prove that if T is an ideal

Let R and S be a rings and let f: R S be a ring surjective (onto) homomorphism. Prove that if T is an ideal of R, then the f(T) = { s S such that s = f(t) for some element t T } is an ideal of S.

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