If phi is a ring Homomorphism R to R' , S is a subring of R then show that Phi of S is also subring

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If S' is subring in R' then phi inverse of S ' is a subring of R

If phi is Homomorphism from R to R' and 1 is the unity in R then phi of 1 is the unity in phi of R

R to R' is Ring Homomorphism then kernel is Singleton '0' iff phi is 1-1

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