Problem

The answer to exercise marked [BB] can be found in the Back of the Book.(a) Let n be a nat...

The answer to exercise marked [BB] can be found in the Back of the Book.

(a) Let n be a natural number, n > 1. Let A = {a ∈ N | a | n]. Prove that (A, |) is a lattice.

(b) [BB] Draw the Hasse diagram associated with the poset given in (a) for n = 12.

(c) Draw the Hasse diagram associated with the poset given in (a) for n = 36.

(d) Draw the Hasse diagram associated with the poset given in (a) for n = 90.

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