# Identity Relation (or Identity)

## 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 : $$I_E$$.

### Example

Consider set E = {a, b, c}.  Then $$I_E$$ = {(a, a), (b, b), (c, c)}.

The arrow diagram of an identity relation includes only loops.