# Law of Composition

## Law of Composition

Rule that defines an operation.

Synonym of operation on a set E, when E is closed under the operation.

### Examples

• Addition on the set of natural numbers is an internal composition law in $$mathbb{N}$$.
• Division on the set of integers is not an internal composition law in $$mathbb{N}$$ since the results obtained are not all elements of $$mathbb{N}$$.