let x be in a. then there exists n such that x = e^n
x^2 = (e^n)^2 = e^2n = (e^2)^n = e^n = x
since every element of a is idempotent, a is.
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let x be in a. then there exists n such that x = e^n
x^2 = (e^n)^2 = e^2n = (e^2)^n = e^n = x
since every element of a is idempotent, a is.