Definition:Order of Structure/Finite Structure

Definition
Let $\left({S, \circ}\right)$ be an algebraic structure. Let the underlying set $S$ of $\left({S, \circ}\right)$ be finite.

Then $\left({S, \circ}\right)$ a finite structure.

That is, $\left({S, \circ}\right)$ is a finite structure $\left({S, \circ}\right)$ is not an infinite structure.

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

Also see

 * Definition:Infinite Structure