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A general result on Lie ideals due to Herstein I.N. states that if A is a noncommutative simple algebra over a field of characteristic not 2, then the only higher commutators of A are A and [A,A]. For a more general approach, the question that arises naturally is: Which assumptions should be required to obtain a result similar to the above observation in the case where A is an arbitrary unital algebra? In this talk, we characterize higher commutators of unital algebras discussing the question above.