Suppose is a finite field of characteristic 3 and is the map defined by . Prove that is surjective.
How do I do this? I know how to prove that it is an injective ring homomorphism. But I don't know how to prove it is surjective. Thanks.
Suppose is a finite field of characteristic 3 and is the map defined by . Prove that is surjective.
How do I do this? I know how to prove that it is an injective ring homomorphism. But I don't know how to prove it is surjective. Thanks.