Main Examination Period 2023 – May/June – Semester B MTH6158: Ring Theory Question 1 & [30 Marks]. (A) & Give& An& Example& Of& A& Non-Commutative& Ring& Without& An& Identity.(B)& Id(D)E(O)N(E)Ti(S)T(T)Y(H)? Expla(E Equati)In(On)& (1 + A)(1 − A) =& 1 − A2& & Hold&

Main& Examination& Period& 2022& –& May/June& –& Semester& BMTH6158:& Ring& Theoryquestion& 1 & [28& Marks].(A)& Is& The& Function& F& : Z → Z& Defined& As& F(X) =& 3X& A& Ring& Homomorphism? & Justify Your& Answer.(B) & Consider& The& Map&