Question: Please solve this abstract algebra problem. Thank you 2. Let R and R' be two rings, and let (p : R > R' be a

Please solve this abstract algebra problem. Thank you

2. Let R and R' be two rings, and let (p : R > R' be a surjective function such that 90(a + b) = 90((1) + g0(b) and 90(ab) = go(a)ap(b), for all 41,1) 6 R (that is, go is almost a ring homomorphism, but it doesn't necessarily send 1;; to 112')- Prove that (p is a ring homomorphism (that is, it actually does send 1R to 13:)

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