We talk about distributivity and boolean algebra only iff it's a lattice(POSET). So, Relation needs to be provided with Set under discussion.
So, the correct question would go like : let $[D_{36},/]$ (or) Set $D_{36}$ on relation divides. (although its know that we talk about division mostly)
In Dn ,if n is square free number then it will be a boolean algebra along with the numbe of vertex should be 2^n and number of edges should be 2*2^n-2.
Above is most important condition to identify whether a relation is boolean algebra or not.Above rule is not for distributive lattice.
Distributive lattice fallow the distributive properties and sublattice properties.
Example:: D64 not Boolean algebra but D110 is boolean algebra.
D_{36} is not a boolean algebra and not a distributive lattice . 36 = 3*2*2*3 so 2 and 3 is repeating hence it is not distributive .
We did not get 36 as product of distinct primes , hence it is not distributive .
Gatecse
OK @
In d link mentioned below. Yeah. :)