# Math Help - Ring problem

1. ## Ring problem

Hi there, I need help with this problem. I really dont know what to make of it.

If R is a ring where x^6=x, (V) x in R.
a) Is it true that x^5=x ?
b) 1 + 1 = ?

Thank you.

2. Originally Posted by sillyme

If R is a ring where $x^6=x, \ \forall x \in R.$

a) Is it true that $x^5=x$? did you mean $x^5 = 1$?

b) 1 + 1 = ?
$1=(-1)^6=-1.$ thus in R: $1+1=0.$