Classical

Set Theory and Algebra MCQ - Partial Ordering , Lattice and Boolean Algebra

11:  

If lattice (C ,) is a complemented chain, then

A.

|C|1

B.

|C|2

C.

|C| >1

D.

C doesn't exist

 
 

Option: B

Explanation :


12:  

 A self-complemented, distributive lattice is called

A.

Boolean algebra

B.

Modular lattice

C.

Complete lattice

D.

Self dual lattice

 
 

Option: A

Explanation :


13:  

The less than relation, <, on reals is

A.

a partial ordering since it is asymmetric and reflexive.

B.

a partial ordering since it is anti-symmetric and reflexive.

C.

not a partial ordering because it is not asymmetric and not reflexive

D.

not a partial ordering because it is not anti- symmetric and not reflexive.

 
 

Option: D

Explanation :




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