Consider the lattices L1={1, 2, 4}, L2={1, 3, 9} under divisibility. Draw the lattice L1 x L2.

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written 8.0 years ago by

teamques10 ★ 68k

modified 2.9 years ago by

pedsangini276 • 4.8k

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 7 Marks

Year: May 2014

discrete mathematics

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written 8.0 years ago by

teamques10 ★ 68k

Here, L1 = {1, 2, 4} and L2 = {1, 3, 9}

L3 = {(1, 1), (1, 3), (1, 9), (2, 1), (2, 3), (2, 9), (4, 1), (4, 3), (4, 9)}

Hence, below diagram shows the Hasse diagram for L1 x L2 with partial product order.

enter image description here

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