1,216 views
4 votes
4 votes

Why is  it not lattice?

1 Answer

Best answer
10 votes
10 votes

A lattice must be first a poset i.e. it should be reflexive , anti-symmetric and transitive.

Here c   & b  so, it is not antisymmetric & hence not a lattice.

selected by

Related questions

2 votes
2 votes
1 answer
2
GO Classes asked May 12, 2022
490 views
Let $[N, \leq ]$ is a partial order relation defined on natural numbers, where “$\leq$” is the “less than equal to” relation defined on $N = \{ 0,1,2,3,\dots \}.$...
4 votes
4 votes
1 answer
3
GO Classes asked May 12, 2022
513 views
For any integers $x,y,$ we say that $x$ divides $y$ iff there is some integer $z$ such that $y = x\ast z.$Let $[N, \leq]$ is a partial order relation defined on natural n...