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:



\displaystyle \bigcup_{i \in \mathbb{N}_0} V^{i} $

Synonyms
Some authors call this:


 * Kleene closure


 * Monoid closure