Idempotence is a property of operations where an operation on a particular value returns that same value. For example, 0 is idempotent under addition (0+0=0) and under multiplication (0·0=0). 1 is idempotent under multiplication. (1·1=1).
Given an element a of set B and an operation * on set B, a is idempotent under B if and only if a * a = a.
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