Hi,

in the first week of lectures we were given the example;

"F= field with two elements = {0,1}

Where 0 + 0 = 1 + 1 = 0, 0 + 1 = 1 + 0 = 1, 1*0 = 0*1 = 0*0 = 0 and 1*1 = 1.

In fact, there is a finite field with p elements whenever p is a prime number."

How can you say that 0+0=1+1=0?

Doesnt that mean 0=1?

If so, whats the additive identity here, as isn't it meant to be unique?