Question

For every prime p, Zp, the ring of integers modulo p is a field.​

Answer 1

Answer:

Show that if p is prime then Zp is a field

Let Zp:=Z/pZ be the quotient ring modulo p. ... They are commutative rings with unity. [0]=[n] is the identity of addition or zero. Then [n]+[a]=[a] and [n]⋅[a]=[n] for all [a]∈Zn.