info@avatto.com
+91-9920808017
6. Principle of duality is defined as
≤ is replaced by ≥
LUB becomes GLB
all properties are unaltered when ≤ is replaced by ≥
all properties are unaltered when ≤ is replaced by ≥ other than 0 and 1 element.
Your email address will not be published. Required fields are marked *
Report
Name
Email
Website
Save my name, email, and website in this browser for the next time I comment.
Comment
7. Different partially ordered sets may be represented by the same Hasse diagram if they are
same
lattices with same order
isomorphic
order-isomorphic
8. The absorption law is defined as
a * ( a * b ) = b
a * ( a ⊕ b ) = b
a * ( a * b ) = a ⊕ b
a * ( a ⊕ b ) = a
9. A partial order is deined on the setS = {x, a1, a2, a3,...... an, y}as x ≤ a i for all i and ai ≤ y for all i, where n ≥ 1.
Number of total orders on the set S which contain partial order ≤ is
1
n
n + 2
n !
10. Let L be a set with a relation R which is transitive, antisymmetric and reflexive and for any two elements a, b ∈ L. Let least upper bound lub (a, b) and the greatest lower bound glb (a, b) exist. Which of the following is/are TRUE ?
L is a Poset
L is a boolean algebra
L is a lattice
none of these
Login with Facebook
Login with Google
Forgot your password?
Lost your password? Please enter your email address. You will receive mail with link to set new password.
Back to login
