# Category:Idempotence

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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 6 subcategories, out of 6 total.

## Pages in category "Idempotence"

The following 25 pages are in this category, out of 25 total.

### A

### C

### E

### I

### L

### P

- Power of Idempotent Element
- Product of Commuting Idempotent Elements is Idempotent
- Product of Semigroup Element with Left Inverse is Idempotent
- Product of Semigroup Element with Right Inverse is Idempotent
- Product on Left with Idempotent Element under Left Self-Distributive Operation is Idempotent
- Product on Right with Idempotent Element under Right Self-Distributive Operation is Idempotent