relations in a setlet consider r be a relation


Relations in a Set:

Let consider R be a relation from A to B. If B = A, then R is known as a relation in A. Thus relation in a set A is a subset of A ΧA.

Identity Relation:

R is an identity relation if (a, b) € R iff a = b, a € A, b € A. In other terms, every element of A is belongs to only itself.

Universal Relation in a Set:

Assume A be any set and R be the set A Χ A, then R is known as the Universal Relation in A.

Void Relation in a Set:

Φ is known as Void Relation in a set.

 

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Mathematics: relations in a setlet consider r be a relation
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