Define Kleene Star?

Given Σ, then the Kleene Star Closure of the alphabet Σ, denoted by Σ*, is the collection of all strings defined over Σ, including Λ
It is to be noted that Kleene Star Closure can be defined over any set of strings.
Examples:-
If Σ = {x}
Then Σ* = {Λ, x, xx, xxx, xxxx, ….}
If Σ = {0,1}
Then Σ* = {Λ, 0, 1, 00, 01, 10, 11, ….}
If Σ = {aaB, c}
Then Σ* = {Λ, aaB, c, aaBaaB, aaBc, caaB, cc, ….}
Note: Languages generated by Kleene Star Closure of set of strings, are infinite languages. (By infinite language, it is supposed that the language contains infinite many words, each of finite length)