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#Lattice#Discrete_Mathematics

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https://csedoubts.gateoverflow.in/?qa=blob&qa_blobid=8018894368000379347

I think 3 is also not lattice. As d and e do  not have join semilattice. Am I wrong?

in Set Theory & Algebra by (13 points) | 21 views
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d and e have join at h they do not have a meet so it is not a lattice.
by (3.7k points)
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@satbir bro why 1 is not lattice ?
by (666 points)
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it is a lattice since every element has a meet and join.
by (3.7k points)
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So only 3rd option is correct i,e It doesn't represent a lattice right ?
by (666 points)
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yes...i have not checked 4th option but note that it is not a cube since 1 vertex is missing. They have not made the diagram correctly since in a lattice we don't have horizontal edges. like f and g is having horizontal edge.
by (3.7k points)
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yes, it does not have meet. thanks for correcting
by (13 points)

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