Chapter 4.2, Problem 35E

(a)

To determine

To prove: That $\left(A,|\right)$ is lattice where $n$ is a natural number, $n>1$ and $A=\left\{a\in N|a|n\right\}$.

(b)

To determine

To graph: The Hasse diagram associated with the poset given in (a) for $n=12$.

(c)

To determine

To graph: The Hasse diagram associated with the poset given in (a) for $n=36$.

(d)

To determine

To graph: The Hasse diagram associated with the poset given in (a) for $n=90$.