Question

Show that the ring is commutative?

Given ring `(R,+,*)` with `x^3=x`,

`AA` `x` `in` `R`

Show that the ring is commutative?

Answer 1

see below

Explanation:

`x x x = x`
`x x = e`
`x = x^-1`

`xy = (xy)^-1 = y^-1x^-1 = yx`