#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?

#discrete_maths
#lattice

asked Nov 14, 2019 in Set Theory & Algebra by nandani17 (34 points) | 28 views

d and e have join at h they do not have a meet so it is not a lattice.

commented Nov 14, 2019 by Satbir (4.1k points)

@satbir bro why 1 is not lattice ?

commented Nov 14, 2019 by pranay562 (926 points)

it is a lattice since every element has a meet and join.

commented Nov 14, 2019 by Satbir (4.1k points)

So only 3rd option is correct i,e It doesn't represent a lattice right ?

commented Nov 14, 2019 by pranay562 (926 points)

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.

commented Nov 14, 2019 by Satbir (4.1k points)

yes, it does not have meet. thanks for correcting

commented Nov 14, 2019 by nandani17 (34 points)

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