Skip to content
Related Articles
Get the best out of our app
Open App

Related Articles

GATE | GATE CS 1999 | Question 28

Improve Article
Save Article
Like Article
Improve Article
Save Article
Like Article

Let L be a set with relation R which is transitive, anti-symmetric and reflexive and for any two elements a,b ∈ L let the least upper bound lub(a,b) and greatest lower bound glb(a,b) exist. Which of the following is/are true?

a.  L is a poset.

b.  L is a boolean algebra.

c.  L is a lattice.

d.  None of the above.
(A) a, b
(B) a, c
(C) only c
(D) only b

Answer: (B)

Explanation: A is true since By definition, a Relation is said to be a POSET if it is reflexive, transitive and anti-symmetric.
C is true since by definition, a POSET is a lattice if every pair of elements has a greatest lower bound and a least upper bound.

Quiz of this Question

My Personal Notes arrow_drop_up
Last Updated : 13 Nov, 2017
Like Article
Save Article
Similar Reads