Meaning of L* if L is a language I can't find anywhere the meaning of $L^*$, given that $L$ is a language. I know $^* $ means repetition, for example $0^*$ = $\{ \epsilon, 0, 00, 000, \dots \}$. Or if $A$ is an alphabet $A^*$ are all the possible words.

Does $L^*$ mean the language whose words are the concatenation of the words of $L$?

For example if $L=\{ 01^n \mid n&gt;0 \}$

then is $L^* = \{ 01^{n_1}01^{n_2} \dots \mid n_1&gt;0, n_2&gt;0, ... \} $?
Given a language $L$, let $L_0 = \{\epsilon\}$ and, for $i\geq 1$, let $L_i = \{w_1\circ \dots\circ w_i \mid w_j\in L \text{ for each } j\}$, where $\circ$ denotes concatenation.  Then the Kleene closure of&nbsp;$L$ is the language $L^* = \bigcup_{i\geq 0} L_i$.