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written 5.3 years ago by | modified 4.1 years ago by |
$\ (D_{10}, \leqslant)$ is a lattice. Draw its Hass's Diagram.
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written 5.3 years ago by | modified 4.1 years ago by |
$\ (D_{10}, \leqslant)$ is a lattice. Draw its Hass's Diagram.
written 5.3 years ago by |
We have $\ D_{10} = [1,2,5,10]$
The Hasse diagram is shown in
To show that $\ (D_{10}, \leqslant)$ = [1,2,5,10] are lattice. Now find 'V' & '^'
From the two table, we observe that every pair of element $\ D_{10}$ has LUB (least upper bound) and GLB (greatest upper bound). Hence ($\ (D_{10}, \leqslant)$) is a lattice.