For (a) n = 60, and (b) n = 120, Explain why the positive integer divisors of

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For
(a) n = 60, and
(b) n = 120,
Explain why the positive integer divisors of n do not yield a Boolean algebra. (Here x + y = lcm(x, y), xy = gcd(x, y),  = n/x, 1 is the zero element, and n is the one element.)
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