Question

Z2 is idempotent element

Answer 1

Step-by-step explanation:

In ring theory (part of abstract algebra) an idempotent element, or simply an idempotent, of a ring is an element a such that a2 = a.[1] That is, the element is idempotent under the ring's multiplication. Inductively then, one can also conclude that a = a2 = a3 = a4 = ... = an for any positive integer n. For example, an idempotent element of a matrix ring is precisely an idempotent matrix.