Is D36 a distributive lattice? 

Is D36 a distributive lattice? 

Answer

Ans is NO

We can check , whether D36 is a distributive lattice or not by checking whether we can get it by product of distinct primes.
Example: D26 is a distributive lattice as 26 can be wriiten as 2*13 where , 2 and 13 are distinct primes.
While, D36 is not a distributive lattice as 36 = 2*2*3*3 which is not a product of distinct primes.

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