Theorem (3-6):- Let f:(R,+, .) → (R`, +' , .) be a ring. homo , onto function and 1- If (R,+,.) is commutative ring with identity 1. Then (R`,+',.) is also commutative ring with identity 1. 2-If (R,+,.) is a ring without zero divisors, Then (R`,+`,.) is also a ring without zero divisors. l

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