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A homomorphism between two algebras over a field K, A and B, is a map such that for all k in K and x,y in A,

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

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Topics: Algebra Homomorphism, Algebraically Closed Field, Algebraic...

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