MATH 120B Quiz: Math_120B_-_Quiz_1_Ver._1_(Fall17)
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In this quiz you may use both sides of this sheet for your work if you need to. Prove the set with the binary operations speci ed is a ring or show why it is not. R z with the usual addition and a di erent multiplication given by: (x1, n1) (x2, n2) = (0, 0) X1, x2 r and n1, n2 z: (4 pts. ) Show why the following group homomorphism is not a ring homomorphism: : z 4z n 4n (1 pt) ask one question related to ring theory or suggest a way to improve discussion: