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Concept# Algebra homomorphism

Summary

In mathematics, an algebra homomorphism is a homomorphism between two algebras. More precisely, if A and B are algebras over a field (or a ring) K, it is a function F\colon A\to B such that, for all k in K and x, y in A, one has

- F(kx) = kF(x)
- F(x + y) = F(x) + F(y)
- F(xy) = F(x) F(y)

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