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.

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- March 14th 2009, 06:29 PMsophia782field, characteristic, surjective
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. - March 14th 2009, 07:56 PMThePerfectHacker