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.
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Originally Posted by sillyme If R is a ring where $\displaystyle x^6=x, \ \forall x \in R.$ a) Is it true that $\displaystyle x^5=x$? did you mean $\displaystyle x^5 = 1$? b) 1 + 1 = ? $\displaystyle 1=(-1)^6=-1.$ thus in R: $\displaystyle 1+1=0.$
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