Hua'S Identity



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What is Hua's identity?

In algebra, Hua's identity states that for any elements a, b in a division ring, whenever . Replacing with gives another equivalent form of the identity: An important application of the identity is a proof of Hua's theorem. The theorem says that if is a function between division rings and if satisfies: then is either a homomorphism or an antihomomorphism. The theorem is important because of the connection to the fundamental theorem of projective geometry.

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propositionstatementtheoremtheorems in algebratheory


Huas identitet (sv)

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