# Mathematics - Algebra

### Table of Contents

## About

A mathematical algebra has three parts:

- Objects. The collection of objects defines what we’re talking about.
- Operations
- Laws are relationships between the objects and the operations.

In high school algebra:

- the objects are numbers
- and the operations are addition, multiplication and friends.

In the algebra of Haskell types,

- the objects are types, for example Bool and Int.
- the operators take types that already exist, and generate new types from them.