# Definition:Order of Structure/Finite Structure

## Definition

Let $\struct {S, \circ}$ be an algebraic structure.

Let the underlying set $S$ of $\struct {S, \circ}$ be finite.

Then $\struct {S, \circ}$ a finite structure.

That is, $\struct {S, \circ}$ is a finite structure if and only if $\struct {S, \circ}$ is not an infinite structure.

## Also known as

A finite structure can also be described as an algebraic structure of finite order.