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...is the same as the cofinality of ''α''. So the cofinality operation is [[idempotent]].

...lgebra, an ''idempotent element'' <math>x\!</math> is one that obeys the ''idempotent law'', that is, it satisfies the equation <math>xx = x.\!</math> Under mos ...ve already seen how Boole found rationales for the commutative law and the idempotent law by contemplating the properties of ''selective operations''.

| 3. Idempotent Laws | operator is idempotent). Finally, the closure of the union of two sets is

In algebraic language, one refers to such an operator as being "idempotent".