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A Moufang loop L of order (r
s, αi, ϵ Z
+
r≤3s≤3, αi≤4 and p
i are distinct primes greater than 3) is called an f-loop if the equality of associators, (x
y
z) = (x
zy
z) is true for all x
y
zϵ L. It is proven in [9] that L is a group if r ≤ 2. In this paper, we generalise the result to r ≤ 3.
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