# Category:Idempotence

This category contains results about Idempotence.

Definitions specific to this category can be found in Definitions/Idempotence.

**Idempotence** is a property of an algebraic system, or an element of an algebraic system such that:

- $E \circledcirc E = E$

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Idempotence"

The following 27 pages are in this category, out of 27 total.

### A

### I

- Idempotent Elements form Subsemigroup of Commutative Semigroup
- Idempotent Non-Trivial Quasigroup is Not a Loop
- Identities are Idempotent
- Identity Element is Idempotent
- Identity is only Idempotent Cancellable Element
- Identity is only Idempotent Element in Group
- Intersection is Idempotent
- Intersection is Idempotent/Indexed Family