Question: Question 4 2.5 pts For the statement Zm X Zn = Zmn iff gcd(m,n) = 1 Which of the following could be a true statement

Question 4 2.5 pts For the statement Zm X Zn =

Question 4 2.5 pts For the statement Zm X Zn = Zmn iff gcd(m,n) = 1 Which of the following could be a true statement in the left-to- right direction? As Zm X Zn = Zmni then Zm X Znis cyclic because Zmnis cyclic. Zm X Zn = Zmn, but Zmn can't be cyclic. If Zmnis cyclic and isomorphic to Zm X Zn we can't know that gcd (m, n) = 1 If ged (m,n) = 1 then mand n are relatively prime, so Z. XZ, is cyclic

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