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What is Equivalence Relation – Definition and Examples

Here you will learn what is equivalence relation on a set with definition and examples. Let’s begin – What is Equivalence Relation ? Definition : A relation R on a set A is said to be an equivalence relation on A iff it is (i) reflexive i.e. (a, a) \(\in\) R for all a \(\in\) …

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What is Antisymmetric Relation – Definition and Examples

Here you will learn what is antisymmetric relation on sets with definition and examples. Let’s begin – What is Antisymmetric Relation ? Definition : Let A be any set. A relation R on set A is said to be an antisymmetric relation iff (a, b) \(\in\) R and (b, a) \(\in\) R \(\implies\) a = …

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What is Transitive Relation – Definition and Examples

Here you will learn what is transitive relation on set with definition and examples based on it. Let’s begin – What is Transitive Relation ? Definition : Let A be any set. A relation R on A is said to be a transitive relation iff (a, b) \(\in\) R and  (b, c) \(\in\) R  \(\implies\)  …

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What is Reflexive Relation – Definition and Examples

Here you will learn what is reflexive relation on set with definition and examples. Let’s begin – What is Reflexive Relation ? Definition : A relation R on a set A is said to be reflexive if every element of A is related to itself. Thus, R is reflexive \(\iff\) (a, a) \(\in\) R for …

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What are Universal Relation with Example ?

Solution : Let A be a set. Then, A \(\times\) A \(\subseteq\) A \(\times\) A and so it is a relation on A. This relation is called the universal relation on A. In other words, a relation R on a set is called universal relation, if each element of A is related to every element …

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