User:Jshflynn/Definition:Kleene star

Definition
Let $\Sigma$ be an alphabet.

Let $V$ be a subalphabet of $\Sigma$.

Then the Kleene star of $V$ is denoted $V^*$ and defined:


 * $\ds \bigcup_{i \mathop \in \N_0} V^i$

Also known as
Some authors call this:


 * Kleene closure


 * Monoid closure