Relations

Identity Relation (or Identity)

In a set E, a relationship that includes only ordered pairs identical to set E.

Notation

The identity relation on a set E is denoted by : [latex]I_E[/latex].

Example

Consider set E = {a, b, c}.  Then [latex]I_E[/latex] = {(a, a), (b, b), (c, c)}. The arrow diagram of an identity relation includes only loops.

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