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# DM-Groups and Lattice-Q13

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+1 vote

Let $[N,\leq]$ is a partial order relation defined on natural numbers. Identify the false statement?

(A). $[N,\leq]$ is distributive but not complemented lattice

(B). $[N,\leq]$ is not a lattice

(C). $[N,\leq]$ is not Boolean lattice

(D). Element 1 doesn't have complement

asked Jul 8, 2019
reshown Jul 9, 2019

B is correct one
answered Jul 9, 2019 by (34,820 points)
Can you explain why it wont be a lattice? Pick any two elements, they will have a LUB and GLB.
it is example of total order set that is always distributive
answered Jul 10, 2019 by (3,730 points)
But here ask which of the following not correct.