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+3 votes
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A. Not a Lattice
B. Lattice but not a complemented Lattice
C. A complemented Lattice
D. A Boolean Algebra

asked in Set Theory & Algebra by Veteran (14.4k points)   | 101 views
is it D) boolean algebra
given answer B
Its a chain. Chain doesnt have a complement. So, answer B
@Sushant
Can you please make hasse diagram?

1 Answer

+3 votes
Best answer

I, myself is getting following hasse diagram, please let me know if it's correct? it's lattice but not complemented lattice

answered by Veteran (14.4k points)  
selected by
Perfect.
why not complmened lattice? @vijay
LUB of 0,1 and 1,0 is 1,0
GLB of 0,1 and 1,0 is 0,1
@anusha

I mean complement of 1,0?
@Vijay Thakur  No need to show arrows. Its one way relation for POSET. In fact we never show arrows in Hasse diag.
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