in F we define if and if

define by see that is a ring homomorphism. also if and only if so thus is isomorphic to a subring of2)Let F be a field of characteristic p (prime number). prove that Zp is contained in F. Zp={0,1,.....,p-1} regarding modulo p.

i know that 1 belongs to F as weel as 0. but is 1+1=2 in F ?

Thank You Guys.