Set Theory and Algebra MCQ

1:

 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 ?

A.

L is a Poset

B.

L is a boolean algebra

C.

L is a lattice

D.

none of these

 

Answer : C

Explanation :

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Option: A

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