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