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Determine whether the below Hasse diagram represents a lattice

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 6 Marks

Year: Dec 2015

1 Answer
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By lattice definition we can prove the above shown structure M9 to be a lattice if and only if x,yM9, {x,y} has supremum and infimum in M9. Putting all such subsets in a table, not mentioning those subset where x=y:

Subset x ^ y x V y
{a, b} a …

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