Different partially ordered sets may be represented by the same Hasse diagram if they are
A). same
B). isomorphic
C). order-isomorphic
D). lattices with same order
Principle of duality is defined as
A). all properties are unaltered when ¤ is replaced by ¥ other than 0 and 1 element.
B). all properties are unaltered when ¤ is replaced by ¥
C). LUB becomes GLB
D). ¤ is replaced by ¥
The less than relation, <, on reals is
A). not a partial ordering because it is not anti- symmetric and not reflexive.
B). not a partial ordering because it is not asymmetric and not reflexive
C). a partial ordering since it is anti-symmetric and reflexive.
D). a partial ordering since it is asymmetric and reflexive.
A self-complemented, distributive lattice is called
A). Self dual lattice
B). Modular lattice
C). Complete lattice
D). Boolean algebra
If lattice (C ,≤) is a complemented chain, then
A). |C|¤2
B). |C|¤1
C). |C| >1
D). C doesn't exist